diff --git a/changelog b/changelog
index e88dbba..30d4e06 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,8 @@
+20130718 tpd src/axiom-website/patches.html 20130718.01.tpd.patch
+20130718 tpd src/input/rich1b.input
+20130718 tpd src/input/rich1a.input
+20130718 tpd src/input/Makefile
+20130718 tpd src/interp/Makefile
 20130715 tpd src/axiom-website/patches.html 20130715.01.tpd.patch
 20130715 tpd buglist add kamke4, kamke6 missing bug
 20130715 tpd src/axiom-website/CATS/index.html updated
diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html
index 4f4d7eb..1c5dfb2 100644
--- a/src/axiom-website/patches.html
+++ b/src/axiom-website/patches.html
@@ -4234,6 +4234,8 @@ add rich integral set to CATS test suite
 src/input/charlwood.input added
 <a href="patches/20130715.01.tpd.patch">20130715.01.tpd.patch</a>
 CATS updated with txt, charlwood
+<a href="patches/20130718.01.tpd.patch">20130718.01.tpd.patch</a>
+CATS rich1a, rich1b
  </body>
 </html>
 
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet
index 790ea9e..0a5cccd 100644
--- a/src/input/Makefile.pamphlet
+++ b/src/input/Makefile.pamphlet
@@ -432,6 +432,8 @@ CATSTESTS= \
 These long-running tests have been split into a different group
 so we can run them in parallel. 
 <<regression tests>>=
+NEWRICHTESTS = rich1a.regress rich1b.regress
+
 RICHTESTS= \
     richalgebraic000-099.regress \
     richalgebraic100-199.regress \
@@ -472,7 +474,6 @@ RICHTESTS= \
     richtrig800-899.regress \
     richtrig900-920.regress 
 
-
 IN=     ${SRC}/input
 MID=	${INT}/input
 TMPFN:=$(shell echo $$RANDOM)
@@ -489,6 +490,11 @@ algebratests: ${OUTS}
           ${MAKE} -f Makefile.algebra )
 	@ echo si14 finished ${INT}/input
 
+newrichtests: ${NEWRICHTESTS} ${OUTS}
+	@ echo ======================================
+	@ echo src/input RUNNING NEW RICH TESTS
+	@ echo ======================================
+ 
 richtests: ${RICHTESTS} ${OUTS}
 	@ echo ======================================
 	@ echo src/input RUNNING RICH TESTS
@@ -504,7 +510,7 @@ regresstests: ${REGRESSTESTS} ${OUTS}
 	@ echo src/input RUNNING REGRESSION TESTS
 	@ echo ======================================
  
-alltests: regresstests catstests richtests algebratests ${OUTS}
+alltests: regresstests catstests newrichtests richtests algebratests ${OUTS}
 	@ echo ======================================
 	@ echo src/input RUNNING ALL TESTS
 	@ echo ======================================
@@ -779,7 +785,9 @@ FILES= ${OUT}/ackermann.input \
        ${OUT}/pmint.input    ${OUT}/polycoer.input \
        ${OUT}/poly1.input    ${OUT}/psgenfcn.input   \
        ${OUT}/quat.input     ${OUT}/quat1.input      ${OUT}/ribbon.input   \
-       ${OUT}/ribbons.input  ${OUT}/ribbonsnew.input ${OUT}/rk4draw.input  \
+       ${OUT}/ribbons.input  ${OUT}/ribbonsnew.input \
+       ${OUT}/rich1a.input   ${OUT}/rich1b.input \
+       ${OUT}/rk4draw.input  \
        ${OUT}/r20abugs.input \
        ${OUT}/r20bugs.input  ${OUT}/r21bugsbig.input \
        ${OUT}/r21bugs.input \
@@ -863,6 +871,8 @@ FILES2=${OUT}/arith.input    ${OUT}/bugs.input \
        ${OUT}/spadprof.input \
        ${OUT}/synonym2.input ${OUT}/torus.input      
 
+NEWRICHINPUT= ${OUT}/rich1a.input ${OUT}/rich1b.input
+
 RICHINPUT= \
        ${OUT}/richalgebraic000-099.input \
        ${OUT}/richalgebraic100-199.input \
@@ -1180,6 +1190,8 @@ DOCFILES= \
   ${DOC}/regset.input.dvi      ${DOC}/repa6.input.dvi      \
   ${DOC}/ribbon.input.dvi      ${DOC}/ribbons.input.dvi    \
   ${DOC}/ribbonsnew.input.dvi  \
+  ${DOC}/rich1a.input.dvi \
+  ${DOC}/rich1b.input.dvi \
   ${DOC}/richalgebraic000-099.input.dvi \
   ${DOC}/richalgebraic100-199.input.dvi \
   ${DOC}/richalgebraic200-299.input.dvi \
diff --git a/src/input/rich1a.input.pamphlet b/src/input/rich1a.input.pamphlet
new file mode 100644
index 0000000..4ae6691
--- /dev/null
+++ b/src/input/rich1a.input.pamphlet
@@ -0,0 +1,41096 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input rich1a.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+\begin{chunk}{license}
+--Copyright The Numerical Algorithms Group Limited 1991.
+\end{chunk}
+\section{Integrands of the form $x^m (a+b x)^n$}
+\subsection{Integrands of the form $x^m$}
+\subsubsection{Integrands of the form $a$}
+
+\begin{chunk}{*}
+)set break resume
+)sys rm -f rich1a.output
+)spool rich1a.output
+)set message test on
+)set message auto off
+)clear all
+ 
+--S 1 of 3330
+t0000:=0
+--R 
+--R
+--R   (1)  0
+--R                                                     Type: NonNegativeInteger
+--E 1
+
+--S 2 of 3330
+r0000:=0
+--R 
+--R
+--R   (2)  0
+--R                                                     Type: NonNegativeInteger
+--E 2
+
+--S 3 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 3
+
+--S 4 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 4
+
+--S 5 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 5
+
+)clear all
+
+--S 6 of 3330
+t0000:=1
+--R 
+--R
+--R   (1)  1
+--R                                                        Type: PositiveInteger
+--E 6
+
+--S 7 of 3330
+r0000:=x
+--R 
+--R
+--R   (2)  x
+--R                                                            Type: Variable(x)
+--E 7
+
+--S 8 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 8
+
+--S 9 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 9
+
+--S 10 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 10
+
+)clear all
+
+--S 11 of 3330
+t0000:=5
+--R 
+--R
+--R   (1)  5
+--R                                                        Type: PositiveInteger
+--E 11
+
+--S 12 of 3330
+r0000:=5*x
+--R 
+--R
+--R   (2)  5x
+--R                                                    Type: Polynomial(Integer)
+--E 12
+
+--S 13 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  5x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 13
+
+--S 14 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 14
+
+--S 15 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 15
+
+)clear all
+
+--S 16 of 3330
+t0000:=-2
+--R 
+--R
+--R   (1)  - 2
+--R                                                                Type: Integer
+--E 16
+
+--S 17 of 3330
+r0000:=-2*x
+--R 
+--R
+--R   (2)  - 2x
+--R                                                    Type: Polynomial(Integer)
+--E 17
+
+--S 18 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  - 2x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 18
+
+--S 19 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 19
+
+--S 20 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 20
+
+)clear all
+
+--S 21 of 3330
+t0000:=-3/2
+--R 
+--R
+--R          3
+--R   (1)  - -
+--R          2
+--R                                                      Type: Fraction(Integer)
+--E 21
+
+--S 22 of 3330
+r0000:=-3/2*x
+--R 
+--R
+--R          3
+--R   (2)  - - x
+--R          2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 22
+
+--S 23 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3x
+--R   (3)  - --
+--R           2
+--R                                         Type: Union(Expression(Integer),...)
+--E 23
+
+--S 24 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 24
+
+--S 25 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 25
+
+)clear all
+
+--S 26 of 3330
+t0000:=%pi
+--R 
+--R
+--R   (1)  %pi
+--R                                                                     Type: Pi
+--E 26
+
+--S 27 of 3330
+r0000:=%pi*x
+--R 
+--R
+--R   (2)  %pi x
+--R                                                    Type: Expression(Integer)
+--E 27
+
+--S 28 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  %pi x
+--R                                         Type: Union(Expression(Integer),...)
+--E 28
+
+--S 29 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 29
+
+--S 30 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 30
+
+)clear all
+
+--S 31 of 3330
+t0000:=a
+--R 
+--R
+--R   (1)  a
+--R                                                            Type: Variable(a)
+--E 31
+
+--S 32 of 3330
+r0000:=a*x
+--R 
+--R
+--R   (2)  a x
+--R                                                    Type: Polynomial(Integer)
+--E 32
+
+--S 33 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  a x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 33
+
+--S 34 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 34
+
+--S 35 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 35
+
+)clear all
+
+--S 36 of 3330
+t0000:=3*a
+--R 
+--R
+--R   (1)  3a
+--R                                                    Type: Polynomial(Integer)
+--E 36
+
+--S 37 of 3330
+r0000:=3*a*x
+--R 
+--R
+--R   (2)  3a x
+--R                                                    Type: Polynomial(Integer)
+--E 37
+
+--S 38 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  3a x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 38
+
+--S 39 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 39
+
+--S 40 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 40
+
+)clear all
+
+--S 41 of 3330
+t0000:=%pi/sqrt(16-%e^2)
+--R 
+--R
+--R             %pi
+--R   (1)  -------------
+--R         +----------+
+--R         |    2
+--R        \|- %e  + 16
+--R                                                    Type: Expression(Integer)
+--E 41
+
+--S 42 of 3330
+r0000:=%pi*x/sqrt(16-%e^2)
+--R 
+--R
+--R            %pi x
+--R   (2)  -------------
+--R         +----------+
+--R         |    2
+--R        \|- %e  + 16
+--R                                                    Type: Expression(Integer)
+--E 42
+
+--S 43 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            %pi x
+--R   (3)  -------------
+--R         +----------+
+--R         |    2
+--R        \|- %e  + 16
+--R                                         Type: Union(Expression(Integer),...)
+--E 43
+
+--S 44 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 44
+
+--S 45 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 45
+
+)clear all
+
+--S 46 of 3330
+t0000:=x^m
+--R 
+--R
+--R         m
+--R   (1)  x
+--R                                                    Type: Expression(Integer)
+--E 46
+
+--S 47 of 3330
+r0000:=x^(1+m)/(1+m)
+--R 
+--R
+--R         m + 1
+--R        x
+--R   (2)  ------
+--R         m + 1
+--R                                                    Type: Expression(Integer)
+--E 47
+
+--S 48 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            m log(x)
+--R        x %e
+--R   (3)  ------------
+--R            m + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 48
+
+--S 49 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            m log(x)    m + 1
+--R        x %e         - x
+--R   (4)  ---------------------
+--R                m + 1
+--R                                                    Type: Expression(Integer)
+--E 49
+
+--S 50 of 3330
+d0000:=normalize m0000
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 50
+
+)clear all
+
+--S 51 of 3330
+t0000:=x^100
+--R 
+--R
+--R         100
+--R   (1)  x
+--R                                                    Type: Polynomial(Integer)
+--E 51
+
+--S 52 of 3330
+r0000:=1/101*x^101
+--R 
+--R
+--R         1   101
+--R   (2)  --- x
+--R        101
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 52
+
+--S 53 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R         1   101
+--R   (3)  --- x
+--R        101
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 53
+
+--S 54 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 54
+
+--S 55 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 55
+
+)clear all
+
+--S 56 of 3330
+t0000:=x^3
+--R 
+--R
+--R         3
+--R   (1)  x
+--R                                                    Type: Polynomial(Integer)
+--E 56
+
+--S 57 of 3330
+r0000:=1/4*x^4
+--R 
+--R
+--R        1  4
+--R   (2)  - x
+--R        4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 57
+
+--S 58 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  4
+--R   (3)  - x
+--R        4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 58
+
+--S 59 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 59
+
+--S 60 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 60
+
+)clear all
+
+--S 61 of 3330
+t0000:=x^2
+--R 
+--R
+--R         2
+--R   (1)  x
+--R                                                    Type: Polynomial(Integer)
+--E 61
+
+--S 62 of 3330
+r0000:=1/3*x^3
+--R 
+--R
+--R        1  3
+--R   (2)  - x
+--R        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 62
+
+--S 63 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  3
+--R   (3)  - x
+--R        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 63
+
+--S 64 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 64
+
+--S 65 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 65
+
+)clear all
+
+--S 66 of 3330
+t0000:=x
+--R 
+--R
+--R   (1)  x
+--R                                                            Type: Variable(x)
+--E 66
+
+--S 67 of 3330
+r0000:=1/2*x^2
+--R 
+--R
+--R        1  2
+--R   (2)  - x
+--R        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 67
+
+--S 68 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  2
+--R   (3)  - x
+--R        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 68
+
+--S 69 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 69
+
+--S 70 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 70
+
+)clear all
+
+--S 71 of 3330
+t0000:=1
+--R 
+--R
+--R   (1)  1
+--R                                                        Type: PositiveInteger
+--E 71
+
+--S 72 of 3330
+r0000:=x
+--R 
+--R
+--R   (2)  x
+--R                                                            Type: Variable(x)
+--E 72
+
+--S 73 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 73
+
+--S 74 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 74
+
+--S 75 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 75
+
+)clear all
+
+--S 76 of 3330
+t0000:=1/x
+--R 
+--R
+--R        1
+--R   (1)  -
+--R        x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 76
+
+--S 77 of 3330
+r0000:=log(x)
+--R 
+--R
+--R   (2)  log(x)
+--R                                                    Type: Expression(Integer)
+--E 77
+
+--S 78 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  log(x)
+--R                                         Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 79
+
+--S 80 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 80
+
+)clear all
+
+--S 81 of 3330
+t0000:=1/x^2
+--R 
+--R
+--R         1
+--R   (1)  --
+--R         2
+--R        x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 81
+
+--S 82 of 3330
+r0000:=(-1)/x
+--R 
+--R
+--R          1
+--R   (2)  - -
+--R          x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 82
+
+--S 83 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          1
+--R   (3)  - -
+--R          x
+--R                                         Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 84
+
+--S 85 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 85
+
+)clear all
+
+--S 86 of 3330
+t0000:=1/x^3
+--R 
+--R
+--R         1
+--R   (1)  --
+--R         3
+--R        x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 86
+
+--S 87 of 3330
+r0000:=(-1/2)/x^2
+--R 
+--R
+--R           1
+--R           -
+--R           2
+--R   (2)  - ---
+--R            2
+--R           x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 87
+
+--S 88 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           1
+--R   (3)  - ---
+--R            2
+--R          2x
+--R                                         Type: Union(Expression(Integer),...)
+--E 88
+
+--S 89 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 89
+
+--S 90 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 90
+
+)clear all
+
+--S 91 of 3330
+t0000:=1/x^4
+--R 
+--R
+--R         1
+--R   (1)  --
+--R         4
+--R        x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 91
+
+--S 92 of 3330
+r0000:=(-1/3)/x^3
+--R 
+--R
+--R           1
+--R           -
+--R           3
+--R   (2)  - ---
+--R            3
+--R           x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 92
+
+--S 93 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           1
+--R   (3)  - ---
+--R            3
+--R          3x
+--R                                         Type: Union(Expression(Integer),...)
+--E 93
+
+--S 94 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 94
+
+--S 95 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 95
+
+)clear all
+
+--S 96 of 3330
+t0000:=1/x^100
+--R 
+--R
+--R          1
+--R   (1)  ----
+--R         100
+--R        x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 96
+
+--S 97 of 3330
+r0000:=(-1/99)/x^99
+--R 
+--R
+--R            1
+--R           --
+--R           99
+--R   (2)  - ----
+--R            99
+--R           x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 97
+
+--S 98 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            1
+--R   (3)  - -----
+--R             99
+--R          99x
+--R                                         Type: Union(Expression(Integer),...)
+--E 98
+
+--S 99 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 99
+
+--S 100 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 100
+
+)clear all
+
+--S 101 of 3330
+t0000:=1/(a*x^n+b*x^n)
+--R 
+--R
+--R            1
+--R   (1)  ---------
+--R                n
+--R        (b + a)x
+--R                                                    Type: Expression(Integer)
+--E 101
+
+--S 102 of 3330
+r0000:=x^(1-n)/((a+b)*(1-n))
+--R 
+--R
+--R               - n + 1
+--R              x
+--R   (2)  - ----------------
+--R          (b + a)n - b - a
+--R                                                    Type: Expression(Integer)
+--E 102
+
+--S 103 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                        x
+--R   (3)  - ----------------------------
+--R                              n log(x)
+--R          ((b + a)n - b - a)%e
+--R                                         Type: Union(Expression(Integer),...)
+--E 103
+
+--S 104 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            - n + 1  n log(x)
+--R           x       %e         - x
+--R   (4)  ----------------------------
+--R                            n log(x)
+--R        ((b + a)n - b - a)%e
+--R                                                    Type: Expression(Integer)
+--E 104
+
+--S 105 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R           - n  n log(x)
+--R        - x   %e         + 1
+--R   (5)  --------------------
+--R                   n log(x)
+--R          (b + a)%e
+--R                                                    Type: Expression(Integer)
+--E 105
+
+)clear all
+
+--S 106 of 3330
+t0000:=x^(5/2)
+--R 
+--R
+--R         2 +-+
+--R   (1)  x \|x
+--R                                                    Type: Expression(Integer)
+--E 106
+
+--S 107 of 3330
+r0000:=2/7*x^(7/2)
+--R 
+--R
+--R          3 +-+
+--R        2x \|x
+--R   (2)  -------
+--R           7
+--R                                                    Type: Expression(Integer)
+--E 107
+
+--S 108 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3 +-+
+--R        2x \|x
+--R   (3)  -------
+--R           7
+--R                                         Type: Union(Expression(Integer),...)
+--E 108
+
+--S 109 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 109
+
+--S 110 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 110
+
+)clear all
+
+--S 111 of 3330
+t0000:=x^(3/2)
+--R 
+--R
+--R          +-+
+--R   (1)  x\|x
+--R                                                    Type: Expression(Integer)
+--E 111
+
+--S 112 of 3330
+r0000:=2/5*x^(5/2)
+--R 
+--R
+--R          2 +-+
+--R        2x \|x
+--R   (2)  -------
+--R           5
+--R                                                    Type: Expression(Integer)
+--E 112
+
+--S 113 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2 +-+
+--R        2x \|x
+--R   (3)  -------
+--R           5
+--R                                         Type: Union(Expression(Integer),...)
+--E 113
+
+--S 114 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 114
+
+--S 115 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 115
+
+)clear all
+
+--S 116 of 3330
+t0000:=x^(1/2)
+--R 
+--R
+--R         +-+
+--R   (1)  \|x
+--R                                                    Type: Expression(Integer)
+--E 116
+
+--S 117 of 3330
+r0000:=2/3*x^(3/2)
+--R 
+--R
+--R           +-+
+--R        2x\|x
+--R   (2)  ------
+--R           3
+--R                                                    Type: Expression(Integer)
+--E 117
+
+--S 118 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           +-+
+--R        2x\|x
+--R   (3)  ------
+--R           3
+--R                                         Type: Union(Expression(Integer),...)
+--E 118
+
+--S 119 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 119
+
+--S 120 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 120
+
+)clear all
+
+--S 121 of 3330
+t0000:=1/x^(1/2)
+--R 
+--R
+--R          1
+--R   (1)  ----
+--R         +-+
+--R        \|x
+--R                                                    Type: Expression(Integer)
+--E 121
+
+--S 122 of 3330
+r0000:=2*sqrt(x)
+--R 
+--R
+--R          +-+
+--R   (2)  2\|x
+--R                                                    Type: Expression(Integer)
+--E 122
+
+--S 123 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          +-+
+--R   (3)  2\|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 123
+
+--S 124 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 124
+
+--S 125 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 125
+
+)clear all
+
+--S 126 of 3330
+t0000:=1/x^(3/2)
+--R 
+--R
+--R          1
+--R   (1)  -----
+--R          +-+
+--R        x\|x
+--R                                                    Type: Expression(Integer)
+--E 126
+
+--S 127 of 3330
+r0000:=(-2)/sqrt(x)
+--R 
+--R
+--R            2
+--R   (2)  - ----
+--R           +-+
+--R          \|x
+--R                                                    Type: Expression(Integer)
+--E 127
+
+--S 128 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2
+--R   (3)  - ----
+--R           +-+
+--R          \|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 128
+
+--S 129 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 129
+
+--S 130 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 130
+
+)clear all
+
+--S 131 of 3330
+t0000:=1/x^(5/2)
+--R 
+--R
+--R           1
+--R   (1)  ------
+--R         2 +-+
+--R        x \|x
+--R                                                    Type: Expression(Integer)
+--E 131
+
+--S 132 of 3330
+r0000:=(-2/3)/x^(3/2)
+--R 
+--R
+--R             2
+--R   (2)  - ------
+--R             +-+
+--R          3x\|x
+--R                                                    Type: Expression(Integer)
+--E 132
+
+--S 133 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             2
+--R   (3)  - ------
+--R             +-+
+--R          3x\|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 133
+
+--S 134 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 134
+
+--S 135 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 135
+
+)clear all
+
+--S 136 of 3330
+t0000:=x^(5/3)
+--R 
+--R
+--R          3+-+2
+--R   (1)  x \|x
+--R                                                    Type: Expression(Integer)
+--E 136
+
+--S 137 of 3330
+r0000:=3/8*x^(8/3)
+--R 
+--R
+--R          2 3+-+2
+--R        3x  \|x
+--R   (2)  --------
+--R            8
+--R                                                    Type: Expression(Integer)
+--E 137
+
+--S 138 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2 3+-+2
+--R        3x  \|x
+--R   (3)  --------
+--R            8
+--R                                         Type: Union(Expression(Integer),...)
+--E 138
+
+--S 139 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 139
+
+--S 140 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 140
+
+)clear all
+
+--S 141 of 3330
+t0000:=x^(4/3)
+--R 
+--R
+--R         3+-+
+--R   (1)  x\|x
+--R                                                    Type: Expression(Integer)
+--E 141
+
+--S 142 of 3330
+r0000:=3/7*x^(7/3)
+--R 
+--R
+--R          2 3+-+
+--R        3x  \|x
+--R   (2)  -------
+--R           7
+--R                                                    Type: Expression(Integer)
+--E 142
+
+--S 143 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2 3+-+
+--R        3x  \|x
+--R   (3)  -------
+--R           7
+--R                                         Type: Union(Expression(Integer),...)
+--E 143
+
+--S 144 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 144
+
+--S 145 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 145
+
+)clear all
+
+--S 146 of 3330
+t0000:=x^(2/3)
+--R 
+--R
+--R        3+-+2
+--R   (1)  \|x
+--R                                                    Type: Expression(Integer)
+--E 146
+
+--S 147 of 3330
+r0000:=3/5*x^(5/3)
+--R 
+--R
+--R           3+-+2
+--R        3x \|x
+--R   (2)  --------
+--R            5
+--R                                                    Type: Expression(Integer)
+--E 147
+
+--S 148 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           3+-+2
+--R        3x \|x
+--R   (3)  --------
+--R            5
+--R                                         Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 149
+
+--S 150 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 150
+
+)clear all
+
+--S 151 of 3330
+t0000:=x^(1/3)
+--R 
+--R
+--R        3+-+
+--R   (1)  \|x
+--R                                                    Type: Expression(Integer)
+--E 151
+
+--S 152 of 3330
+r0000:=3/4*x^(4/3)
+--R 
+--R
+--R          3+-+
+--R        3x\|x
+--R   (2)  ------
+--R           4
+--R                                                    Type: Expression(Integer)
+--E 152
+
+--S 153 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3+-+
+--R        3x\|x
+--R   (3)  ------
+--R           4
+--R                                         Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 154
+
+--S 155 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 155
+
+)clear all
+
+--S 156 of 3330
+t0000:=1/x^(1/3)
+--R 
+--R
+--R          1
+--R   (1)  ----
+--R        3+-+
+--R        \|x
+--R                                                    Type: Expression(Integer)
+--E 156
+
+--S 157 of 3330
+r0000:=3/2*x^(2/3)
+--R 
+--R
+--R         3+-+2
+--R        3\|x
+--R   (2)  ------
+--R           2
+--R                                                    Type: Expression(Integer)
+--E 157
+
+--S 158 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R         3+-+2
+--R        3\|x
+--R   (3)  ------
+--R           2
+--R                                         Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 159
+
+--S 160 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 160
+
+)clear all
+
+--S 161 of 3330
+t0000:=1/x^(2/3)
+--R 
+--R
+--R          1
+--R   (1)  -----
+--R        3+-+2
+--R        \|x
+--R                                                    Type: Expression(Integer)
+--E 161
+
+--S 162 of 3330
+r0000:=3*x^(1/3)
+--R 
+--R
+--R         3+-+
+--R   (2)  3\|x
+--R                                                    Type: Expression(Integer)
+--E 162
+
+--S 163 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R         3+-+
+--R   (3)  3\|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 164
+
+--S 165 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 165
+
+)clear all
+
+--S 166 of 3330
+t0000:=1/x^(4/3)
+--R 
+--R
+--R          1
+--R   (1)  -----
+--R         3+-+
+--R        x\|x
+--R                                                    Type: Expression(Integer)
+--E 166
+
+--S 167 of 3330
+r0000:=(-3)/x^(1/3)
+--R 
+--R
+--R            3
+--R   (2)  - ----
+--R          3+-+
+--R          \|x
+--R                                                    Type: Expression(Integer)
+--E 167
+
+--S 168 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3
+--R   (3)  - ----
+--R          3+-+
+--R          \|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 169
+
+--S 170 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 170
+
+)clear all
+
+--S 171 of 3330
+t0000:=1/x^(5/3)
+--R 
+--R
+--R           1
+--R   (1)  -------
+--R          3+-+2
+--R        x \|x
+--R                                                    Type: Expression(Integer)
+--E 171
+
+--S 172 of 3330
+r0000:=(-3/2)/x^(2/3)
+--R 
+--R
+--R             3
+--R   (2)  - ------
+--R           3+-+2
+--R          2\|x
+--R                                                    Type: Expression(Integer)
+--E 172
+
+--S 173 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             3
+--R   (3)  - ------
+--R           3+-+2
+--R          2\|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 174
+
+--S 175 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 175
+
+)clear all
+
+--S 176 of 3330
+t0000:=x^m*(a+b*x)
+--R 
+--R
+--R                  m
+--R   (1)  (b x + a)x
+--R                                                    Type: Expression(Integer)
+--E 176
+
+--S 177 of 3330
+r0000:=a*x^(1+m)/(1+m)+b*x^(2+m)/(2+m)
+--R 
+--R
+--R                  m + 2              m + 1
+--R        (b m + b)x      + (a m + 2a)x
+--R   (2)  ----------------------------------
+--R                     2
+--R                    m  + 3m + 2
+--R                                                    Type: Expression(Integer)
+--E 177
+
+--S 178 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                   2                 m log(x)
+--R        ((b m + b)x  + (a m + 2a)x)%e
+--R   (3)  -------------------------------------
+--R                      2
+--R                     m  + 3m + 2
+--R                                         Type: Union(Expression(Integer),...)
+--E 178
+
+--S 179 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                  2                 m log(x)               m + 2
+--R       ((b m + b)x  + (a m + 2a)x)%e         + (- b m - b)x
+--R     + 
+--R                    m + 1
+--R       (- a m - 2a)x
+--R  /
+--R      2
+--R     m  + 3m + 2
+--R                                                    Type: Expression(Integer)
+--E 179
+
+--S 180 of 3330
+d0000:=normalize m0000
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 180
+
+)clear all
+
+--S 181 of 3330
+t0000:=x^3*(a+b*x)
+--R 
+--R
+--R           4      3
+--R   (1)  b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 181
+
+--S 182 of 3330
+r0000:=1/4*a*x^4+1/5*b*x^5
+--R 
+--R
+--R        1    5   1    4
+--R   (2)  - b x  + - a x
+--R        5        4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 182
+
+--S 183 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1    5   1    4
+--R   (3)  - b x  + - a x
+--R        5        4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 183
+
+--S 184 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 184
+
+--S 185 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 185
+
+)clear all
+
+--S 186 of 3330
+t0000:=x^2*(a+b*x)
+--R 
+--R
+--R           3      2
+--R   (1)  b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 186
+
+--S 187 of 3330
+r0000:=1/3*a*x^3+1/4*b*x^4
+--R 
+--R
+--R        1    4   1    3
+--R   (2)  - b x  + - a x
+--R        4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 187
+
+--S 188 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1    4   1    3
+--R   (3)  - b x  + - a x
+--R        4        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 188
+
+--S 189 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 189
+
+--S 190 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 190
+
+)clear all
+
+--S 191 of 3330
+t0000:=x*(a+b*x)
+--R 
+--R
+--R           2
+--R   (1)  b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 191
+
+--S 192 of 3330
+r0000:=1/2*a*x^2+1/3*b*x^3
+--R 
+--R
+--R        1    3   1    2
+--R   (2)  - b x  + - a x
+--R        3        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 192
+
+--S 193 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1    3   1    2
+--R   (3)  - b x  + - a x
+--R        3        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 193
+
+--S 194 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 194
+
+--S 195 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 195
+
+)clear all
+
+--S 196 of 3330
+t0000:=a+b*x
+--R 
+--R
+--R   (1)  b x + a
+--R                                                    Type: Polynomial(Integer)
+--E 196
+
+--S 197 of 3330
+r0000:=a*x+1/2*b*x^2
+--R 
+--R
+--R        1    2
+--R   (2)  - b x  + a x
+--R        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 197
+
+--S 198 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1    2
+--R   (3)  - b x  + a x
+--R        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 198
+
+--S 199 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 199
+
+--S 200 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 200
+
+)clear all
+
+--S 201 of 3330
+t0000:=(a+b*x)/x
+--R 
+--R
+--R        b x + a
+--R   (1)  -------
+--R           x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 201
+
+--S 202 of 3330
+r0000:=b*x+a*log(x)
+--R 
+--R
+--R   (2)  a log(x) + b x
+--R                                                    Type: Expression(Integer)
+--E 202
+
+--S 203 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  a log(x) + b x
+--R                                         Type: Union(Expression(Integer),...)
+--E 203
+
+--S 204 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 204
+
+--S 205 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 205
+
+)clear all
+
+--S 206 of 3330
+t0000:=(a+b*x)/x^2
+--R 
+--R
+--R        b x + a
+--R   (1)  -------
+--R            2
+--R           x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 206
+
+--S 207 of 3330
+r0000:=-a/x+b*log(x)
+--R 
+--R
+--R        b x log(x) - a
+--R   (2)  --------------
+--R               x
+--R                                                    Type: Expression(Integer)
+--E 207
+
+--S 208 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        b x log(x) - a
+--R   (3)  --------------
+--R               x
+--R                                         Type: Union(Expression(Integer),...)
+--E 208
+
+--S 209 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 209
+
+--S 210 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 210
+
+)clear all
+
+--S 211 of 3330
+t0000:=(a+b*x)/x^3
+--R 
+--R
+--R        b x + a
+--R   (1)  -------
+--R            3
+--R           x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 211
+
+--S 212 of 3330
+r0000:=-1/2*a/x^2-b/x
+--R 
+--R
+--R                1
+--R        - b x - - a
+--R                2
+--R   (2)  -----------
+--R              2
+--R             x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 212
+
+--S 213 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        - 2b x - a
+--R   (3)  ----------
+--R              2
+--R            2x
+--R                                         Type: Union(Expression(Integer),...)
+--E 213
+
+--S 214 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 214
+
+--S 215 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 215
+
+)clear all
+
+--S 216 of 3330
+t0000:=(a+b*x)/x^4
+--R 
+--R
+--R        b x + a
+--R   (1)  -------
+--R            4
+--R           x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 216
+
+--S 217 of 3330
+r0000:=-1/3*a/x^3-1/2*b/x^2
+--R 
+--R
+--R          1       1
+--R        - - b x - - a
+--R          2       3
+--R   (2)  -------------
+--R               3
+--R              x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 217
+
+--S 218 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        - 3b x - 2a
+--R   (3)  -----------
+--R              3
+--R            6x
+--R                                         Type: Union(Expression(Integer),...)
+--E 218
+
+--S 219 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 219
+
+--S 220 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 220
+
+)clear all
+
+--S 221 of 3330
+t0000:=(a+b*x)/x^5
+--R 
+--R
+--R        b x + a
+--R   (1)  -------
+--R            5
+--R           x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 221
+
+--S 222 of 3330
+r0000:=-1/4*a/x^4-1/3*b/x^3
+--R 
+--R
+--R          1       1
+--R        - - b x - - a
+--R          3       4
+--R   (2)  -------------
+--R               4
+--R              x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 222
+
+--S 223 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        - 4b x - 3a
+--R   (3)  -----------
+--R               4
+--R            12x
+--R                                         Type: Union(Expression(Integer),...)
+--E 223
+
+--S 224 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 224
+
+--S 225 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 225
+
+)clear all
+
+--S 226 of 3330
+t0000:=x^m*(a+b*x)^2
+--R 
+--R
+--R          2 2             2  m
+--R   (1)  (b x  + 2a b x + a )x
+--R                                                    Type: Expression(Integer)
+--E 226
+
+--S 227 of 3330
+r0000:=a^2*x^(1+m)/(1+m)+2*a*b*x^(2+m)/(2+m)+b^2*x^(3+m)/(3+m)
+--R 
+--R
+--R   (2)
+--R         2 2     2      2  m + 3          2                  m + 2
+--R       (b m  + 3b m + 2b )x      + (2a b m  + 8a b m + 6a b)x
+--R     + 
+--R         2 2     2      2  m + 1
+--R       (a m  + 5a m + 6a )x
+--R  /
+--R      3     2
+--R     m  + 6m  + 11m + 6
+--R                                                    Type: Expression(Integer)
+--E 227
+
+--S 228 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           2 2     2      2  3          2                  2
+--R         (b m  + 3b m + 2b )x  + (2a b m  + 8a b m + 6a b)x
+--R       + 
+--R           2 2     2      2
+--R         (a m  + 5a m + 6a )x
+--R    *
+--R         m log(x)
+--R       %e
+--R  /
+--R      3     2
+--R     m  + 6m  + 11m + 6
+--R                                         Type: Union(Expression(Integer),...)
+--E 228
+
+--S 229 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R             2 2     2      2  3          2                  2
+--R           (b m  + 3b m + 2b )x  + (2a b m  + 8a b m + 6a b)x
+--R         + 
+--R             2 2     2      2
+--R           (a m  + 5a m + 6a )x
+--R      *
+--R           m log(x)
+--R         %e
+--R     + 
+--R           2 2     2      2  m + 3            2                  m + 2
+--R       (- b m  - 3b m - 2b )x      + (- 2a b m  - 8a b m - 6a b)x
+--R     + 
+--R           2 2     2      2  m + 1
+--R       (- a m  - 5a m - 6a )x
+--R  /
+--R      3     2
+--R     m  + 6m  + 11m + 6
+--R                                                    Type: Expression(Integer)
+--E 229
+
+--S 230 of 3330
+d0000:=normalize m0000
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 230
+
+)clear all
+
+--S 231 of 3330
+t0000:=x^3*(a+b*x)^2
+--R 
+--R
+--R         2 5         4    2 3
+--R   (1)  b x  + 2a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 231
+
+--S 232 of 3330
+r0000:=1/4*a^2*x^4+2/5*a*b*x^5+1/6*b^2*x^6
+--R 
+--R
+--R        1  2 6   2      5   1  2 4
+--R   (2)  - b x  + - a b x  + - a x
+--R        6        5          4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 232
+
+--S 233 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  2 6   2      5   1  2 4
+--R   (3)  - b x  + - a b x  + - a x
+--R        6        5          4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 233
+
+--S 234 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 234
+
+--S 235 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 235
+
+)clear all
+
+--S 236 of 3330
+t0000:=x^2*(a+b*x)^2
+--R 
+--R
+--R         2 4         3    2 2
+--R   (1)  b x  + 2a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 236
+
+--S 237 of 3330
+r0000:=1/3*a^2*x^3+1/2*a*b*x^4+1/5*b^2*x^5
+--R 
+--R
+--R        1  2 5   1      4   1  2 3
+--R   (2)  - b x  + - a b x  + - a x
+--R        5        2          3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 237
+
+--S 238 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  2 5   1      4   1  2 3
+--R   (3)  - b x  + - a b x  + - a x
+--R        5        2          3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 238
+
+--S 239 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 239
+
+--S 240 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 240
+
+)clear all
+
+--S 241 of 3330
+t0000:=x*(a+b*x)^2
+--R 
+--R
+--R         2 3         2    2
+--R   (1)  b x  + 2a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 241
+
+--S 242 of 3330
+r0000:=1/2*a^2*x^2+2/3*a*b*x^3+1/4*b^2*x^4
+--R 
+--R
+--R        1  2 4   2      3   1  2 2
+--R   (2)  - b x  + - a b x  + - a x
+--R        4        3          2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 242
+
+--S 243 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  2 4   2      3   1  2 2
+--R   (3)  - b x  + - a b x  + - a x
+--R        4        3          2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 243
+
+--S 244 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 244
+
+--S 245 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 245
+
+)clear all
+
+--S 246 of 3330
+t0000:=(a+b*x)^2
+--R 
+--R
+--R         2 2             2
+--R   (1)  b x  + 2a b x + a
+--R                                                    Type: Polynomial(Integer)
+--E 246
+
+--S 247 of 3330
+r0000:=1/3*(a+b*x)^3/b
+--R 
+--R
+--R        1  3 3      2 2    2      1  3
+--R        - b x  + a b x  + a b x + - a
+--R        3                         3
+--R   (2)  ------------------------------
+--R                       b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 247
+
+--S 248 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  2 3        2    2
+--R   (3)  - b x  + a b x  + a x
+--R        3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 248
+
+--S 249 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R          1  3
+--R          - a
+--R          3
+--R   (4)  - ----
+--R            b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 249
+
+--S 250 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 250
+
+)clear all
+
+--S 251 of 3330
+t0000:=(a+b*x)^2/x
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 251
+
+--S 252 of 3330
+r0000:=2*a*b*x+1/2*b^2*x^2+a^2*log(x)
+--R 
+--R
+--R          2          2 2
+--R        2a log(x) + b x  + 4a b x
+--R   (2)  -------------------------
+--R                    2
+--R                                                    Type: Expression(Integer)
+--E 252
+
+--S 253 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2          2 2
+--R        2a log(x) + b x  + 4a b x
+--R   (3)  -------------------------
+--R                    2
+--R                                         Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 254
+
+--S 255 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 255
+
+)clear all
+
+--S 256 of 3330
+t0000:=(a+b*x)^2/x^2
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 2
+--R                x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 256
+
+--S 257 of 3330
+r0000:=-a^2/x+b^2*x+2*a*b*log(x)
+--R 
+--R
+--R                         2 2    2
+--R        2a b x log(x) + b x  - a
+--R   (2)  -------------------------
+--R                    x
+--R                                                    Type: Expression(Integer)
+--E 257
+
+--S 258 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                         2 2    2
+--R        2a b x log(x) + b x  - a
+--R   (3)  -------------------------
+--R                    x
+--R                                         Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 259
+
+--S 260 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 260
+
+)clear all
+
+--S 261 of 3330
+t0000:=(a+b*x)^2/x^3
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 3
+--R                x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 261
+
+--S 262 of 3330
+r0000:=-1/2*a^2/x^2-2*a*b/x+b^2*log(x)
+--R 
+--R
+--R          2 2                   2
+--R        2b x log(x) - 4a b x - a
+--R   (2)  -------------------------
+--R                     2
+--R                   2x
+--R                                                    Type: Expression(Integer)
+--E 262
+
+--S 263 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2 2                   2
+--R        2b x log(x) - 4a b x - a
+--R   (3)  -------------------------
+--R                     2
+--R                   2x
+--R                                         Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 264
+
+--S 265 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 265
+
+)clear all
+
+--S 266 of 3330
+t0000:=(a+b*x)^2/x^4
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 4
+--R                x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 266
+
+--S 267 of 3330
+r0000:=-1/3*(a+b*x)^3/(a*x^3)
+--R 
+--R
+--R          1  3 3      2 2    2      1  3
+--R        - - b x  - a b x  - a b x - - a
+--R          3                         3
+--R   (2)  --------------------------------
+--R                         3
+--R                      a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 267
+
+--S 268 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 2             2
+--R        - 3b x  - 3a b x - a
+--R   (3)  ---------------------
+--R                   3
+--R                 3x
+--R                                         Type: Union(Expression(Integer),...)
+--E 268
+
+--S 269 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R         3
+--R        b
+--R   (4)  --
+--R        3a
+--R                                                    Type: Expression(Integer)
+--E 269
+
+--S 270 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 270
+
+)clear all
+
+--S 271 of 3330
+t0000:=(a+b*x)^2/x^5
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 5
+--R                x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 271
+
+--S 272 of 3330
+r0000:=-1/4*a^2/x^4-2/3*a*b/x^3-1/2*b^2/x^2
+--R 
+--R
+--R          1  2 2   2         1  2
+--R        - - b x  - - a b x - - a
+--R          2        3         4
+--R   (2)  -------------------------
+--R                     4
+--R                    x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 272
+
+--S 273 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 2              2
+--R        - 6b x  - 8a b x - 3a
+--R   (3)  ----------------------
+--R                    4
+--R                 12x
+--R                                         Type: Union(Expression(Integer),...)
+--E 273
+
+--S 274 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 274
+
+--S 275 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 275
+
+)clear all
+
+--S 276 of 3330
+t0000:=(a+b*x)^2/x^6
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 6
+--R                x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 276
+
+--S 277 of 3330
+r0000:=-1/5*a^2/x^5-1/2*a*b/x^4-1/3*b^2/x^3
+--R 
+--R
+--R          1  2 2   1         1  2
+--R        - - b x  - - a b x - - a
+--R          3        2         5
+--R   (2)  -------------------------
+--R                     5
+--R                    x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 277
+
+--S 278 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             2 2               2
+--R        - 10b x  - 15a b x - 6a
+--R   (3)  ------------------------
+--R                     5
+--R                  30x
+--R                                         Type: Union(Expression(Integer),...)
+--E 278
+
+--S 279 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 279
+
+--S 280 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 280
+
+)clear all
+
+--S 281 of 3330
+t0000:=(a+b*x)^2/x^7
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 7
+--R                x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 281
+
+--S 282 of 3330
+r0000:=-1/6*a^2/x^6-2/5*a*b/x^5-1/4*b^2/x^4
+--R 
+--R
+--R          1  2 2   2         1  2
+--R        - - b x  - - a b x - - a
+--R          4        5         6
+--R   (2)  -------------------------
+--R                     6
+--R                    x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 282
+
+--S 283 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             2 2                2
+--R        - 15b x  - 24a b x - 10a
+--R   (3)  -------------------------
+--R                      6
+--R                   60x
+--R                                         Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 284
+
+--S 285 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 285
+
+)clear all
+
+--S 286 of 3330
+t0000:=(a+b*x)^2/x^8
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 8
+--R                x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 286
+
+--S 287 of 3330
+r0000:=-1/7*a^2/x^7-1/3*a*b/x^6-1/5*b^2/x^5
+--R 
+--R
+--R          1  2 2   1         1  2
+--R        - - b x  - - a b x - - a
+--R          5        3         7
+--R   (2)  -------------------------
+--R                     7
+--R                    x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 287
+
+--S 288 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             2 2                2
+--R        - 21b x  - 35a b x - 15a
+--R   (3)  -------------------------
+--R                      7
+--R                  105x
+--R                                         Type: Union(Expression(Integer),...)
+--E 288
+
+--S 289 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 289
+
+--S 290 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 290
+
+)clear all
+
+--S 291 of 3330
+t0000:=x^m*(a+b*x)^3
+--R 
+--R
+--R          3 3       2 2     2       3  m
+--R   (1)  (b x  + 3a b x  + 3a b x + a )x
+--R                                                    Type: Expression(Integer)
+--E 291
+
+--S 292 of 3330
+r0000:=a^3*x^(1+m)/(1+m)+3*a^2*b*x^(2+m)/(2+m)+3*a*b^2*x^(3+m)/_
+     (3+m)+b^3*x^(4+m)/(4+m)
+--R 
+--R
+--R   (2)
+--R         3 3     3 2      3      3  m + 4
+--R       (b m  + 6b m  + 11b m + 6b )x
+--R     + 
+--R            2 3        2 2        2         2  m + 3
+--R       (3a b m  + 21a b m  + 42a b m + 24a b )x
+--R     + 
+--R          2   3      2   2      2         2   m + 2
+--R       (3a b m  + 24a b m  + 57a b m + 36a b)x
+--R     + 
+--R         3 3     3 2      3       3  m + 1
+--R       (a m  + 9a m  + 26a m + 24a )x
+--R  /
+--R      4      3      2
+--R     m  + 10m  + 35m  + 50m + 24
+--R                                                    Type: Expression(Integer)
+--E 292
+
+--S 293 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           3 3     3 2      3      3  4
+--R         (b m  + 6b m  + 11b m + 6b )x
+--R       + 
+--R              2 3        2 2        2         2  3
+--R         (3a b m  + 21a b m  + 42a b m + 24a b )x
+--R       + 
+--R          2   3      2   2      2         2   2     3 3     3 2      3       3
+--R       (3a b m  + 24a b m  + 57a b m + 36a b)x  + (a m  + 9a m  + 26a m + 24a )x
+--R    *
+--R         m log(x)
+--R       %e
+--R  /
+--R      4      3      2
+--R     m  + 10m  + 35m  + 50m + 24
+--R                                         Type: Union(Expression(Integer),...)
+--E 293
+
+--S 294 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R             3 3     3 2      3      3  4
+--R           (b m  + 6b m  + 11b m + 6b )x
+--R         + 
+--R                2 3        2 2        2         2  3
+--R           (3a b m  + 21a b m  + 42a b m + 24a b )x
+--R         + 
+--R              2   3      2   2      2         2   2
+--R           (3a b m  + 24a b m  + 57a b m + 36a b)x
+--R         + 
+--R             3 3     3 2      3       3
+--R           (a m  + 9a m  + 26a m + 24a )x
+--R      *
+--R           m log(x)
+--R         %e
+--R     + 
+--R           3 3     3 2      3      3  m + 4
+--R       (- b m  - 6b m  - 11b m - 6b )x
+--R     + 
+--R              2 3        2 2        2         2  m + 3
+--R       (- 3a b m  - 21a b m  - 42a b m - 24a b )x
+--R     + 
+--R            2   3      2   2      2         2   m + 2
+--R       (- 3a b m  - 24a b m  - 57a b m - 36a b)x
+--R     + 
+--R           3 3     3 2      3       3  m + 1
+--R       (- a m  - 9a m  - 26a m - 24a )x
+--R  /
+--R      4      3      2
+--R     m  + 10m  + 35m  + 50m + 24
+--R                                                    Type: Expression(Integer)
+--E 294
+
+--S 295 of 3330
+d0000:=normalize m0000
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 295
+
+)clear all
+
+--S 296 of 3330
+t0000:=x^3*(a+b*x)^3
+--R 
+--R
+--R         3 6       2 5     2   4    3 3
+--R   (1)  b x  + 3a b x  + 3a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 296
+
+--S 297 of 3330
+r0000:=1/4*a^3*x^4+3/5*a^2*b*x^5+1/2*a*b^2*x^6+1/7*b^3*x^7
+--R 
+--R
+--R        1  3 7   1    2 6   3  2   5   1  3 4
+--R   (2)  - b x  + - a b x  + - a b x  + - a x
+--R        7        2          5          4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 297
+
+--S 298 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  3 7   1    2 6   3  2   5   1  3 4
+--R   (3)  - b x  + - a b x  + - a b x  + - a x
+--R        7        2          5          4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 298
+
+--S 299 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 299
+
+--S 300 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 300
+
+)clear all
+
+--S 301 of 3330
+t0000:=x^2*(a+b*x)^3
+--R 
+--R
+--R         3 5       2 4     2   3    3 2
+--R   (1)  b x  + 3a b x  + 3a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 301
+
+--S 302 of 3330
+r0000:=1/3*a^3*x^3+3/4*a^2*b*x^4+3/5*a*b^2*x^5+1/6*b^3*x^6
+--R 
+--R
+--R        1  3 6   3    2 5   3  2   4   1  3 3
+--R   (2)  - b x  + - a b x  + - a b x  + - a x
+--R        6        5          4          3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 302
+
+--S 303 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  3 6   3    2 5   3  2   4   1  3 3
+--R   (3)  - b x  + - a b x  + - a b x  + - a x
+--R        6        5          4          3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 303
+
+--S 304 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 304
+
+--S 305 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 305
+
+)clear all
+
+--S 306 of 3330
+t0000:=x*(a+b*x)^3
+--R 
+--R
+--R         3 4       2 3     2   2    3
+--R   (1)  b x  + 3a b x  + 3a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 306
+
+--S 307 of 3330
+r0000:=-1/4*a*(a+b*x)^4/b^2+1/5*(a+b*x)^5/b^2
+--R 
+--R
+--R        1  5 5   3    4 4    2 3 3   1  3 2 2    1  5
+--R        - b x  + - a b x  + a b x  + - a b x  - -- a
+--R        5        4                   2          20
+--R   (2)  ---------------------------------------------
+--R                               2
+--R                              b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 307
+
+--S 308 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  3 5   3    2 4    2   3   1  3 2
+--R   (3)  - b x  + - a b x  + a b x  + - a x
+--R        5        4                   2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 308
+
+--S 309 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R         1  5
+--R        -- a
+--R        20
+--R   (4)  -----
+--R           2
+--R          b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 309
+
+--S 310 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 310
+
+)clear all
+
+--S 311 of 3330
+t0000:=(a+b*x)^3
+--R 
+--R
+--R         3 3       2 2     2       3
+--R   (1)  b x  + 3a b x  + 3a b x + a
+--R                                                    Type: Polynomial(Integer)
+--E 311
+
+--S 312 of 3330
+r0000:=1/4*(a+b*x)^4/b
+--R 
+--R
+--R        1  4 4      3 3   3  2 2 2    3      1  4
+--R        - b x  + a b x  + - a b x  + a b x + - a
+--R        4                 2                  4
+--R   (2)  -----------------------------------------
+--R                            b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 312
+
+--S 313 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1  3 4      2 3   3  2   2    3
+--R   (3)  - b x  + a b x  + - a b x  + a x
+--R        4                 2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 313
+
+--S 314 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R          1  4
+--R          - a
+--R          4
+--R   (4)  - ----
+--R            b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 314
+
+--S 315 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 315
+
+)clear all
+
+--S 316 of 3330
+t0000:=(a+b*x)^3/x
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 316
+
+--S 317 of 3330
+r0000:=3*a^2*b*x+3/2*a*b^2*x^2+1/3*b^3*x^3+a^3*log(x)
+--R 
+--R
+--R          3           3 3       2 2      2
+--R        6a log(x) + 2b x  + 9a b x  + 18a b x
+--R   (2)  -------------------------------------
+--R                          6
+--R                                                    Type: Expression(Integer)
+--E 317
+
+--S 318 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3           3 3       2 2      2
+--R        6a log(x) + 2b x  + 9a b x  + 18a b x
+--R   (3)  -------------------------------------
+--R                          6
+--R                                         Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 319
+
+--S 320 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 320
+
+)clear all
+
+--S 321 of 3330
+t0000:=(a+b*x)^3/x^2
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      2
+--R                     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 321
+
+--S 322 of 3330
+r0000:=-a^3/x+3*a*b^2*x+1/2*b^3*x^2+3*a^2*b*log(x)
+--R 
+--R
+--R          2              3 3       2 2     3
+--R        6a b x log(x) + b x  + 6a b x  - 2a
+--R   (2)  ------------------------------------
+--R                         2x
+--R                                                    Type: Expression(Integer)
+--E 322
+
+--S 323 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2              3 3       2 2     3
+--R        6a b x log(x) + b x  + 6a b x  - 2a
+--R   (3)  ------------------------------------
+--R                         2x
+--R                                         Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 324
+
+--S 325 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 325
+
+)clear all
+
+--S 326 of 3330
+t0000:=(a+b*x)^3/x^3
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      3
+--R                     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 326
+
+--S 327 of 3330
+r0000:=-1/2*a^3/x^2-3*a^2*b/x+b^3*x+3*a*b^2*log(x)
+--R 
+--R
+--R            2 2           3 3     2       3
+--R        6a b x log(x) + 2b x  - 6a b x - a
+--R   (2)  -----------------------------------
+--R                          2
+--R                        2x
+--R                                                    Type: Expression(Integer)
+--E 327
+
+--S 328 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 2           3 3     2       3
+--R        6a b x log(x) + 2b x  - 6a b x - a
+--R   (3)  -----------------------------------
+--R                          2
+--R                        2x
+--R                                         Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 329
+
+--S 330 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 330
+
+)clear all
+
+--S 331 of 3330
+t0000:=(a+b*x)^3/x^4
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      4
+--R                     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 331
+
+--S 332 of 3330
+r0000:=-1/3*a^3/x^3-3/2*a^2*b/x^2-3*a*b^2/x+b^3*log(x)
+--R 
+--R
+--R          3 3              2 2     2        3
+--R        6b x log(x) - 18a b x  - 9a b x - 2a
+--R   (2)  -------------------------------------
+--R                           3
+--R                         6x
+--R                                                    Type: Expression(Integer)
+--E 332
+
+--S 333 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3 3              2 2     2        3
+--R        6b x log(x) - 18a b x  - 9a b x - 2a
+--R   (3)  -------------------------------------
+--R                           3
+--R                         6x
+--R                                         Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 334
+
+--S 335 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 335
+
+)clear all
+
+--S 336 of 3330
+t0000:=(a+b*x)^3/x^5
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      5
+--R                     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 336
+
+--S 337 of 3330
+r0000:=-1/4*(a+b*x)^4/(a*x^4)
+--R 
+--R
+--R          1  4 4      3 3   3  2 2 2    3      1  4
+--R        - - b x  - a b x  - - a b x  - a b x - - a
+--R          4                 2                  4
+--R   (2)  -------------------------------------------
+--R                               4
+--R                            a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 337
+
+--S 338 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 3       2 2     2       3
+--R        - 4b x  - 6a b x  - 4a b x - a
+--R   (3)  -------------------------------
+--R                        4
+--R                      4x
+--R                                         Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R         4
+--R        b
+--R   (4)  --
+--R        4a
+--R                                                    Type: Expression(Integer)
+--E 339
+
+--S 340 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 340
+
+)clear all
+
+--S 341 of 3330
+t0000:=(a+b*x)^3/x^6
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      6
+--R                     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 341
+
+--S 342 of 3330
+r0000:=-1/5*a^3/x^5-3/4*a^2*b/x^4-a*b^2/x^3-1/2*b^3/x^2
+--R 
+--R
+--R          1  3 3      2 2   3  2      1  3
+--R        - - b x  - a b x  - - a b x - - a
+--R          2                 4         5
+--R   (2)  ----------------------------------
+--R                         5
+--R                        x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 342
+
+--S 343 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             3 3        2 2      2        3
+--R        - 10b x  - 20a b x  - 15a b x - 4a
+--R   (3)  -----------------------------------
+--R                           5
+--R                        20x
+--R                                         Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 344
+
+--S 345 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 345
+
+)clear all
+
+--S 346 of 3330
+t0000:=(a+b*x)^3/x^7
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      7
+--R                     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 346
+
+--S 347 of 3330
+r0000:=-1/6*a^3/x^6-3/5*a^2*b/x^5-3/4*a*b^2/x^4-1/3*b^3/x^3
+--R 
+--R
+--R          1  3 3   3    2 2   3  2      1  3
+--R        - - b x  - - a b x  - - a b x - - a
+--R          3        4          5         6
+--R   (2)  ------------------------------------
+--R                          6
+--R                         x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 347
+
+--S 348 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             3 3        2 2      2         3
+--R        - 20b x  - 45a b x  - 36a b x - 10a
+--R   (3)  ------------------------------------
+--R                           6
+--R                        60x
+--R                                         Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 349
+
+--S 350 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 350
+
+)clear all
+
+--S 351 of 3330
+t0000:=(a+b*x)^3/x^8
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      8
+--R                     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 351
+
+--S 352 of 3330
+r0000:=-1/7*a^3/x^7-1/2*a^2*b/x^6-3/5*a*b^2/x^5-1/4*b^3/x^4
+--R 
+--R
+--R          1  3 3   3    2 2   1  2      1  3
+--R        - - b x  - - a b x  - - a b x - - a
+--R          4        5          2         7
+--R   (2)  ------------------------------------
+--R                          7
+--R                         x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 352
+
+--S 353 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             3 3        2 2      2         3
+--R        - 35b x  - 84a b x  - 70a b x - 20a
+--R   (3)  ------------------------------------
+--R                            7
+--R                        140x
+--R                                         Type: Union(Expression(Integer),...)
+--E 353
+
+--S 354 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 354
+
+--S 355 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 355
+
+)clear all
+
+--S 356 of 3330
+t0000:=x^m*(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R     7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7  m
+--R   (b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a )x
+--R                                                    Type: Expression(Integer)
+--E 356
+
+--S 357 of 3330
+r0000:=a^7*x^(1+m)/(1+m)+7*a^6*b*x^(2+m)/(2+m)+_
+     21*a^5*b^2*x^(3+m)/(3+m)+35*a^4*b^3*x^(4+m)/(4+m)+_
+     35*a^3*b^4*x^(5+m)/(5+m)+21*a^2*b^5*x^(6+m)/(6+m)+_
+     7*a*b^6*x^(7+m)/(7+m)+b^7*x^(8+m)/(8+m)
+--R 
+--R
+--R   (2)
+--R            7 7      7 6       7 5        7 4        7 3         7 2         7
+--R           b m  + 28b m  + 322b m  + 1960b m  + 6769b m  + 13132b m  + 13068b m
+--R         + 
+--R                7
+--R           5040b
+--R      *
+--R          m + 8
+--R         x
+--R     + 
+--R               6 7         6 6          6 5           6 4           6 3
+--R           7a b m  + 203a b m  + 2401a b m  + 14945a b m  + 52528a b m
+--R         + 
+--R                    6 2            6            6
+--R           103292a b m  + 103824a b m + 40320a b
+--R      *
+--R          m + 7
+--R         x
+--R     + 
+--R              2 5 7       2 5 6        2 5 5         2 5 4          2 5 3
+--R           21a b m  + 630a b m  + 7686a b m  + 49140a b m  + 176589a b m
+--R         + 
+--R                  2 5 2          2 5           2 5
+--R           353430a b m  + 360024a b m + 141120a b
+--R      *
+--R          m + 6
+--R         x
+--R     + 
+--R              3 4 7        3 4 6         3 4 5         3 4 4          3 4 3
+--R           35a b m  + 1085a b m  + 13685a b m  + 90335a b m  + 334040a b m
+--R         + 
+--R                  3 4 2          3 4           3 4
+--R           684740a b m  + 710640a b m + 282240a b
+--R      *
+--R          m + 5
+--R         x
+--R     + 
+--R              4 3 7        4 3 6         4 3 5          4 3 4          4 3 3
+--R           35a b m  + 1120a b m  + 14630a b m  + 100240a b m  + 384755a b m
+--R         + 
+--R                  4 3 2          4 3           4 3
+--R           815920a b m  + 870660a b m + 352800a b
+--R      *
+--R          m + 4
+--R         x
+--R     + 
+--R              5 2 7       5 2 6        5 2 5         5 2 4          5 2 3
+--R           21a b m  + 693a b m  + 9387a b m  + 67095a b m  + 270144a b m
+--R         + 
+--R                  5 2 2          5 2           5 2
+--R           602532a b m  + 673008a b m + 282240a b
+--R      *
+--R          m + 3
+--R         x
+--R     + 
+--R             6   7       6   6        6   5         6   4          6   3
+--R           7a b m  + 238a b m  + 3346a b m  + 25060a b m  + 107023a b m
+--R         + 
+--R                  6   2          6             6
+--R           256942a b m  + 312984a b m + 141120a b
+--R      *
+--R          m + 2
+--R         x
+--R     + 
+--R            7 7      7 6       7 5        7 4         7 3         7 2         7
+--R           a m  + 35a m  + 511a m  + 4025a m  + 18424a m  + 48860a m  + 69264a m
+--R         + 
+--R                 7
+--R           40320a
+--R      *
+--R          m + 1
+--R         x
+--R  /
+--R      8      7       6        5         4         3          2
+--R     m  + 36m  + 546m  + 4536m  + 22449m  + 67284m  + 118124m  + 109584m + 40320
+--R                                                    Type: Expression(Integer)
+--E 357
+
+--S 358 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              7 7      7 6       7 5        7 4        7 3         7 2
+--R             b m  + 28b m  + 322b m  + 1960b m  + 6769b m  + 13132b m
+--R           + 
+--R                   7         7
+--R             13068b m + 5040b
+--R        *
+--R            8
+--R           x
+--R       + 
+--R                 6 7         6 6          6 5           6 4           6 3
+--R             7a b m  + 203a b m  + 2401a b m  + 14945a b m  + 52528a b m
+--R           + 
+--R                      6 2            6            6
+--R             103292a b m  + 103824a b m + 40320a b
+--R        *
+--R            7
+--R           x
+--R       + 
+--R                2 5 7       2 5 6        2 5 5         2 5 4          2 5 3
+--R             21a b m  + 630a b m  + 7686a b m  + 49140a b m  + 176589a b m
+--R           + 
+--R                    2 5 2          2 5           2 5
+--R             353430a b m  + 360024a b m + 141120a b
+--R        *
+--R            6
+--R           x
+--R       + 
+--R                3 4 7        3 4 6         3 4 5         3 4 4          3 4 3
+--R             35a b m  + 1085a b m  + 13685a b m  + 90335a b m  + 334040a b m
+--R           + 
+--R                    3 4 2          3 4           3 4
+--R             684740a b m  + 710640a b m + 282240a b
+--R        *
+--R            5
+--R           x
+--R       + 
+--R                4 3 7        4 3 6         4 3 5          4 3 4          4 3 3
+--R             35a b m  + 1120a b m  + 14630a b m  + 100240a b m  + 384755a b m
+--R           + 
+--R                    4 3 2          4 3           4 3
+--R             815920a b m  + 870660a b m + 352800a b
+--R        *
+--R            4
+--R           x
+--R       + 
+--R                5 2 7       5 2 6        5 2 5         5 2 4          5 2 3
+--R             21a b m  + 693a b m  + 9387a b m  + 67095a b m  + 270144a b m
+--R           + 
+--R                    5 2 2          5 2           5 2
+--R             602532a b m  + 673008a b m + 282240a b
+--R        *
+--R            3
+--R           x
+--R       + 
+--R               6   7       6   6        6   5         6   4          6   3
+--R             7a b m  + 238a b m  + 3346a b m  + 25060a b m  + 107023a b m
+--R           + 
+--R                    6   2          6             6
+--R             256942a b m  + 312984a b m + 141120a b
+--R        *
+--R            2
+--R           x
+--R       + 
+--R              7 7      7 6       7 5        7 4         7 3         7 2
+--R             a m  + 35a m  + 511a m  + 4025a m  + 18424a m  + 48860a m
+--R           + 
+--R                   7          7
+--R             69264a m + 40320a
+--R        *
+--R           x
+--R    *
+--R         m log(x)
+--R       %e
+--R  /
+--R      8      7       6        5         4         3          2
+--R     m  + 36m  + 546m  + 4536m  + 22449m  + 67284m  + 118124m  + 109584m + 40320
+--R                                         Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                7 7      7 6       7 5        7 4        7 3         7 2
+--R               b m  + 28b m  + 322b m  + 1960b m  + 6769b m  + 13132b m
+--R             + 
+--R                     7         7
+--R               13068b m + 5040b
+--R          *
+--R              8
+--R             x
+--R         + 
+--R                   6 7         6 6          6 5           6 4           6 3
+--R               7a b m  + 203a b m  + 2401a b m  + 14945a b m  + 52528a b m
+--R             + 
+--R                        6 2            6            6
+--R               103292a b m  + 103824a b m + 40320a b
+--R          *
+--R              7
+--R             x
+--R         + 
+--R                  2 5 7       2 5 6        2 5 5         2 5 4          2 5 3
+--R               21a b m  + 630a b m  + 7686a b m  + 49140a b m  + 176589a b m
+--R             + 
+--R                      2 5 2          2 5           2 5
+--R               353430a b m  + 360024a b m + 141120a b
+--R          *
+--R              6
+--R             x
+--R         + 
+--R                  3 4 7        3 4 6         3 4 5         3 4 4          3 4 3
+--R               35a b m  + 1085a b m  + 13685a b m  + 90335a b m  + 334040a b m
+--R             + 
+--R                      3 4 2          3 4           3 4
+--R               684740a b m  + 710640a b m + 282240a b
+--R          *
+--R              5
+--R             x
+--R         + 
+--R                  4 3 7        4 3 6         4 3 5          4 3 4          4 3 3
+--R               35a b m  + 1120a b m  + 14630a b m  + 100240a b m  + 384755a b m
+--R             + 
+--R                      4 3 2          4 3           4 3
+--R               815920a b m  + 870660a b m + 352800a b
+--R          *
+--R              4
+--R             x
+--R         + 
+--R                  5 2 7       5 2 6        5 2 5         5 2 4          5 2 3
+--R               21a b m  + 693a b m  + 9387a b m  + 67095a b m  + 270144a b m
+--R             + 
+--R                      5 2 2          5 2           5 2
+--R               602532a b m  + 673008a b m + 282240a b
+--R          *
+--R              3
+--R             x
+--R         + 
+--R                 6   7       6   6        6   5         6   4          6   3
+--R               7a b m  + 238a b m  + 3346a b m  + 25060a b m  + 107023a b m
+--R             + 
+--R                      6   2          6             6
+--R               256942a b m  + 312984a b m + 141120a b
+--R          *
+--R              2
+--R             x
+--R         + 
+--R                7 7      7 6       7 5        7 4         7 3         7 2
+--R               a m  + 35a m  + 511a m  + 4025a m  + 18424a m  + 48860a m
+--R             + 
+--R                     7          7
+--R               69264a m + 40320a
+--R          *
+--R             x
+--R      *
+--R           m log(x)
+--R         %e
+--R     + 
+--R              7 7      7 6       7 5        7 4        7 3         7 2
+--R           - b m  - 28b m  - 322b m  - 1960b m  - 6769b m  - 13132b m
+--R         + 
+--R                   7         7
+--R           - 13068b m - 5040b
+--R      *
+--R          m + 8
+--R         x
+--R     + 
+--R                 6 7         6 6          6 5           6 4           6 3
+--R           - 7a b m  - 203a b m  - 2401a b m  - 14945a b m  - 52528a b m
+--R         + 
+--R                      6 2            6            6
+--R           - 103292a b m  - 103824a b m - 40320a b
+--R      *
+--R          m + 7
+--R         x
+--R     + 
+--R                2 5 7       2 5 6        2 5 5         2 5 4          2 5 3
+--R           - 21a b m  - 630a b m  - 7686a b m  - 49140a b m  - 176589a b m
+--R         + 
+--R                    2 5 2          2 5           2 5
+--R           - 353430a b m  - 360024a b m - 141120a b
+--R      *
+--R          m + 6
+--R         x
+--R     + 
+--R                3 4 7        3 4 6         3 4 5         3 4 4          3 4 3
+--R           - 35a b m  - 1085a b m  - 13685a b m  - 90335a b m  - 334040a b m
+--R         + 
+--R                    3 4 2          3 4           3 4
+--R           - 684740a b m  - 710640a b m - 282240a b
+--R      *
+--R          m + 5
+--R         x
+--R     + 
+--R                4 3 7        4 3 6         4 3 5          4 3 4          4 3 3
+--R           - 35a b m  - 1120a b m  - 14630a b m  - 100240a b m  - 384755a b m
+--R         + 
+--R                    4 3 2          4 3           4 3
+--R           - 815920a b m  - 870660a b m - 352800a b
+--R      *
+--R          m + 4
+--R         x
+--R     + 
+--R                5 2 7       5 2 6        5 2 5         5 2 4          5 2 3
+--R           - 21a b m  - 693a b m  - 9387a b m  - 67095a b m  - 270144a b m
+--R         + 
+--R                    5 2 2          5 2           5 2
+--R           - 602532a b m  - 673008a b m - 282240a b
+--R      *
+--R          m + 3
+--R         x
+--R     + 
+--R               6   7       6   6        6   5         6   4          6   3
+--R           - 7a b m  - 238a b m  - 3346a b m  - 25060a b m  - 107023a b m
+--R         + 
+--R                    6   2          6             6
+--R           - 256942a b m  - 312984a b m - 141120a b
+--R      *
+--R          m + 2
+--R         x
+--R     + 
+--R              7 7      7 6       7 5        7 4         7 3         7 2
+--R           - a m  - 35a m  - 511a m  - 4025a m  - 18424a m  - 48860a m
+--R         + 
+--R                   7          7
+--R           - 69264a m - 40320a
+--R      *
+--R          m + 1
+--R         x
+--R  /
+--R      8      7       6        5         4         3          2
+--R     m  + 36m  + 546m  + 4536m  + 22449m  + 67284m  + 118124m  + 109584m + 40320
+--R                                                    Type: Expression(Integer)
+--E 359
+
+--S 360 of 3330
+d0000:=normalize m0000
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 360
+
+)clear all
+
+--S 361 of 3330
+t0000:=x^7*(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R      7 14       6 13      2 5 12      3 4 11      4 3 10      5 2 9     6   8
+--R     b x   + 7a b x   + 21a b x   + 35a b x   + 35a b x   + 21a b x  + 7a b x
+--R   + 
+--R      7 7
+--R     a x
+--R                                                    Type: Polynomial(Integer)
+--E 361
+
+--S 362 of 3330
+r0000:=1/8*a^7*x^8+7/9*a^6*b*x^9+21/10*a^5*b^2*x^10+35/11*a^4*b^3*x^11+_
+     35/12*a^3*b^4*x^12+21/13*a^2*b^5*x^13+1/2*a*b^6*x^14+1/15*b^7*x^15
+--R 
+--R
+--R   (2)
+--R      1  7 15   1    6 14   21  2 5 13   35  3 4 12   35  4 3 11   21  5 2 10
+--R     -- b x   + - a b x   + -- a b x   + -- a b x   + -- a b x   + -- a b x
+--R     15         2           13           12           11           10
+--R   + 
+--R     7  6   9   1  7 8
+--R     - a b x  + - a x
+--R     9          8
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 362
+
+--S 363 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  7 15   1    6 14   21  2 5 13   35  3 4 12   35  4 3 11   21  5 2 10
+--R     -- b x   + - a b x   + -- a b x   + -- a b x   + -- a b x   + -- a b x
+--R     15         2           13           12           11           10
+--R   + 
+--R     7  6   9   1  7 8
+--R     - a b x  + - a x
+--R     9          8
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 363
+
+--S 364 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 364
+
+--S 365 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 365
+
+)clear all
+
+--S 366 of 3330
+t0000:=x^6*(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R      7 13       6 12      2 5 11      3 4 10      4 3 9      5 2 8     6   7
+--R     b x   + 7a b x   + 21a b x   + 35a b x   + 35a b x  + 21a b x  + 7a b x
+--R   + 
+--R      7 6
+--R     a x
+--R                                                    Type: Polynomial(Integer)
+--E 366
+
+--S 367 of 3330
+r0000:=1/7*a^7*x^7+7/8*a^6*b*x^8+7/3*a^5*b^2*x^9+7/2*a^4*b^3*x^10+_
+     35/11*a^3*b^4*x^11+7/4*a^2*b^5*x^12+7/13*a*b^6*x^13+1/14*b^7*x^14
+--R 
+--R
+--R   (2)
+--R      1  7 14    7    6 13   7  2 5 12   35  3 4 11   7  4 3 10   7  5 2 9
+--R     -- b x   + -- a b x   + - a b x   + -- a b x   + - a b x   + - a b x
+--R     14         13           4           11           2           3
+--R   + 
+--R     7  6   8   1  7 7
+--R     - a b x  + - a x
+--R     8          7
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 367
+
+--S 368 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  7 14    7    6 13   7  2 5 12   35  3 4 11   7  4 3 10   7  5 2 9
+--R     -- b x   + -- a b x   + - a b x   + -- a b x   + - a b x   + - a b x
+--R     14         13           4           11           2           3
+--R   + 
+--R     7  6   8   1  7 7
+--R     - a b x  + - a x
+--R     8          7
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 368
+
+--S 369 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 369
+
+--S 370 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 370
+
+)clear all
+
+--S 371 of 3330
+t0000:=x^5*(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R      7 12       6 11      2 5 10      3 4 9      4 3 8      5 2 7     6   6
+--R     b x   + 7a b x   + 21a b x   + 35a b x  + 35a b x  + 21a b x  + 7a b x
+--R   + 
+--R      7 5
+--R     a x
+--R                                                    Type: Polynomial(Integer)
+--E 371
+
+--S 372 of 3330
+r0000:=1/6*a^7*x^6+a^6*b*x^7+21/8*a^5*b^2*x^8+35/9*a^4*b^3*x^9+_
+     7/2*a^3*b^4*x^10+21/11*a^2*b^5*x^11+7/12*a*b^6*x^12+1/13*b^7*x^13
+--R 
+--R
+--R   (2)
+--R      1  7 13    7    6 12   21  2 5 11   7  3 4 10   35  4 3 9   21  5 2 8
+--R     -- b x   + -- a b x   + -- a b x   + - a b x   + -- a b x  + -- a b x
+--R     13         12           11           2            9           8
+--R   + 
+--R      6   7   1  7 6
+--R     a b x  + - a x
+--R              6
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 372
+
+--S 373 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  7 13    7    6 12   21  2 5 11   7  3 4 10   35  4 3 9   21  5 2 8
+--R     -- b x   + -- a b x   + -- a b x   + - a b x   + -- a b x  + -- a b x
+--R     13         12           11           2            9           8
+--R   + 
+--R      6   7   1  7 6
+--R     a b x  + - a x
+--R              6
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 373
+
+--S 374 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 374
+
+--S 375 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 375
+
+)clear all
+
+--S 376 of 3330
+t0000:=x^4*(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R    7 11       6 10      2 5 9      3 4 8      4 3 7      5 2 6     6   5    7 4
+--R   b x   + 7a b x   + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 376
+
+--S 377 of 3330
+r0000:=1/8*a^4*(a+b*x)^8/b^5-4/9*a^3*(a+b*x)^9/b^5+_
+     3/5*a^2*(a+b*x)^10/b^5-4/11*a*(a+b*x)^11/b^5+1/12*(a+b*x)^12/b^5
+--R 
+--R
+--R   (2)
+--R        1  12 12    7    11 11   21  2 10 10   35  3 9 9   35  4 8 8     5 7 7
+--R       -- b  x   + -- a b  x   + -- a b  x   + -- a b x  + -- a b x  + 3a b x
+--R       12          11            10             9           8
+--R     + 
+--R       7  6 6 6   1  7 5 5     1   12
+--R       - a b x  + - a b x  + ---- a
+--R       6          5          3960
+--R  /
+--R      5
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 377
+
+--S 378 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  7 12    7    6 11   21  2 5 10   35  3 4 9   35  4 3 8     5 2 7
+--R     -- b x   + -- a b x   + -- a b x   + -- a b x  + -- a b x  + 3a b x
+--R     12         11           10            9           8
+--R   + 
+--R     7  6   6   1  7 5
+--R     - a b x  + - a x
+--R     6          5
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 378
+
+--S 379 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            1   12
+--R          ---- a
+--R          3960
+--R   (4)  - --------
+--R              5
+--R             b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 379
+
+--S 380 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 380
+
+)clear all
+
+--S 381 of 3330
+t0000:=x^3*(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R    7 10       6 9      2 5 8      3 4 7      4 3 6      5 2 5     6   4    7 3
+--R   b x   + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 381
+
+--S 382 of 3330
+r0000:=-1/8*a^3*(a+b*x)^8/b^4+1/3*a^2*(a+b*x)^9/b^4-_
+     3/10*a*(a+b*x)^10/b^4+1/11*(a+b*x)^11/b^4
+--R 
+--R
+--R   (2)
+--R        1  11 11    7    10 10   7  2 9 9   35  3 8 8     4 7 7   7  5 6 6
+--R       -- b  x   + -- a b  x   + - a b x  + -- a b x  + 5a b x  + - a b x
+--R       11          10            3           8                    2
+--R     + 
+--R       7  6 5 5   1  7 4 4     1   11
+--R       - a b x  + - a b x  - ---- a
+--R       5          4          1320
+--R  /
+--R      4
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 382
+
+--S 383 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  7 11    7    6 10   7  2 5 9   35  3 4 8     4 3 7   7  5 2 6
+--R     -- b x   + -- a b x   + - a b x  + -- a b x  + 5a b x  + - a b x
+--R     11         10           3           8                    2
+--R   + 
+--R     7  6   5   1  7 4
+--R     - a b x  + - a x
+--R     5          4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 383
+
+--S 384 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R          1   11
+--R        ---- a
+--R        1320
+--R   (4)  --------
+--R            4
+--R           b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 384
+
+--S 385 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 385
+
+)clear all
+
+--S 386 of 3330
+t0000:=x^2*(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R    7 9       6 8      2 5 7      3 4 6      4 3 5      5 2 4     6   3    7 2
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 386
+
+--S 387 of 3330
+r0000:=1/8*a^2*(a+b*x)^8/b^3-2/9*a*(a+b*x)^9/b^3+1/10*(a+b*x)^10/b^3
+--R 
+--R
+--R   (2)
+--R        1  10 10   7    9 9   21  2 8 8     3 7 7   35  4 6 6   21  5 5 5
+--R       -- b  x   + - a b x  + -- a b x  + 5a b x  + -- a b x  + -- a b x
+--R       10          9           8                     6           5
+--R     + 
+--R       7  6 4 4   1  7 3 3    1   10
+--R       - a b x  + - a b x  + --- a
+--R       4          3          360
+--R  /
+--R      3
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 387
+
+--S 388 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  7 10   7    6 9   21  2 5 8     3 4 7   35  4 3 6   21  5 2 5
+--R     -- b x   + - a b x  + -- a b x  + 5a b x  + -- a b x  + -- a b x
+--R     10         9           8                     6           5
+--R   + 
+--R     7  6   4   1  7 3
+--R     - a b x  + - a x
+--R     4          3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 388
+
+--S 389 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R           1   10
+--R          --- a
+--R          360
+--R   (4)  - -------
+--R              3
+--R             b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 389
+
+--S 390 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 390
+
+)clear all
+
+--S 391 of 3330
+t0000:=x*(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R    7 8       6 7      2 5 6      3 4 5      4 3 4      5 2 3     6   2    7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x  + a x
+--R                                                    Type: Polynomial(Integer)
+--E 391
+
+--S 392 of 3330
+r0000:=-1/8*a*(a+b*x)^8/b^2+1/9*(a+b*x)^9/b^2
+--R 
+--R
+--R   (2)
+--R       1  9 9   7    8 8     2 7 7   35  3 6 6     4 5 5   21  5 4 4   7  6 3 3
+--R       - b x  + - a b x  + 3a b x  + -- a b x  + 7a b x  + -- a b x  + - a b x
+--R       9        8                     6                     4          3
+--R     + 
+--R       1  7 2 2    1  9
+--R       - a b x  - -- a
+--R       2          72
+--R  /
+--R      2
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 392
+
+--S 393 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R     1  7 9   7    6 8     2 5 7   35  3 4 6     4 3 5   21  5 2 4   7  6   3
+--R     - b x  + - a b x  + 3a b x  + -- a b x  + 7a b x  + -- a b x  + - a b x
+--R     9        8                     6                     4          3
+--R   + 
+--R     1  7 2
+--R     - a x
+--R     2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 393
+
+--S 394 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R         1  9
+--R        -- a
+--R        72
+--R   (4)  -----
+--R           2
+--R          b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 394
+
+--S 395 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 395
+
+)clear all
+
+--S 396 of 3330
+t0000:=(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                                    Type: Polynomial(Integer)
+--E 396
+
+--S 397 of 3330
+r0000:=1/8*(a+b*x)^8/b
+--R 
+--R
+--R   (2)
+--R       1  8 8      7 7   7  2 6 6     3 5 5   35  4 4 4     5 3 3   7  6 2 2
+--R       - b x  + a b x  + - a b x  + 7a b x  + -- a b x  + 7a b x  + - a b x
+--R       8                 2                     4                    2
+--R     + 
+--R        7      1  8
+--R       a b x + - a
+--R               8
+--R  /
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 397
+
+--S 398 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   1  7 8      6 7   7  2 5 6     3 4 5   35  4 3 4     5 2 3   7  6   2    7
+--R   - b x  + a b x  + - a b x  + 7a b x  + -- a b x  + 7a b x  + - a b x  + a x
+--R   8                 2                     4                    2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 398
+
+--S 399 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R          1  8
+--R          - a
+--R          8
+--R   (4)  - ----
+--R            b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 399
+
+--S 400 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 400
+
+)clear all
+
+--S 401 of 3330
+t0000:=(a+b*x)^7/x
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 401
+
+--S 402 of 3330
+r0000:=7*a^6*b*x+21/2*a^5*b^2*x^2+35/3*a^4*b^3*x^3+35/4*a^3*b^4*x^4+_
+     21/5*a^2*b^5*x^5+7/6*a*b^6*x^6+1/7*b^7*x^7+a^7*log(x)
+--R 
+--R
+--R   (2)
+--R           7            7 7         6 6        2 5 5        3 4 4        4 3 3
+--R       420a log(x) + 60b x  + 490a b x  + 1764a b x  + 3675a b x  + 4900a b x
+--R     + 
+--R            5 2 2        6
+--R       4410a b x  + 2940a b x
+--R  /
+--R     420
+--R                                                    Type: Expression(Integer)
+--E 402
+
+--S 403 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           7            7 7         6 6        2 5 5        3 4 4        4 3 3
+--R       420a log(x) + 60b x  + 490a b x  + 1764a b x  + 3675a b x  + 4900a b x
+--R     + 
+--R            5 2 2        6
+--R       4410a b x  + 2940a b x
+--R  /
+--R     420
+--R                                         Type: Union(Expression(Integer),...)
+--E 403
+
+--S 404 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 404
+
+--S 405 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 405
+
+)clear all
+
+--S 406 of 3330
+t0000:=(a+b*x)^7/x^2
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       2
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 406
+
+--S 407 of 3330
+r0000:=-a^7/x+21*a^5*b^2*x+35/2*a^4*b^3*x^2+35/3*a^3*b^4*x^3+_
+     21/4*a^2*b^5*x^4+7/5*a*b^6*x^5+1/6*b^7*x^6+7*a^6*b*log(x)
+--R 
+--R
+--R   (2)
+--R           6                7 7        6 6       2 5 5       3 4 4        4 3 3
+--R       420a b x log(x) + 10b x  + 84a b x  + 315a b x  + 700a b x  + 1050a b x
+--R     + 
+--R            5 2 2      7
+--R       1260a b x  - 60a
+--R  /
+--R     60x
+--R                                                    Type: Expression(Integer)
+--E 407
+
+--S 408 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           6                7 7        6 6       2 5 5       3 4 4        4 3 3
+--R       420a b x log(x) + 10b x  + 84a b x  + 315a b x  + 700a b x  + 1050a b x
+--R     + 
+--R            5 2 2      7
+--R       1260a b x  - 60a
+--R  /
+--R     60x
+--R                                         Type: Union(Expression(Integer),...)
+--E 408
+
+--S 409 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 409
+
+--S 410 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 410
+
+)clear all
+
+--S 411 of 3330
+t0000:=(a+b*x)^7/x^3
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       3
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 411
+
+--S 412 of 3330
+r0000:=-1/2*a^7/x^2-7*a^6*b/x+35*a^4*b^3*x+35/2*a^3*b^4*x^2+7*a^2*b^5*x^3+_
+     7/4*a*b^6*x^4+1/5*b^7*x^5+21*a^5*b^2*log(x)
+--R 
+--R
+--R   (2)
+--R           5 2 2           7 7        6 6       2 5 5       3 4 4       4 3 3
+--R       420a b x log(x) + 4b x  + 35a b x  + 140a b x  + 350a b x  + 700a b x
+--R     + 
+--R             6         7
+--R       - 140a b x - 10a
+--R  /
+--R        2
+--R     20x
+--R                                                    Type: Expression(Integer)
+--E 412
+
+--S 413 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           5 2 2           7 7        6 6       2 5 5       3 4 4       4 3 3
+--R       420a b x log(x) + 4b x  + 35a b x  + 140a b x  + 350a b x  + 700a b x
+--R     + 
+--R             6         7
+--R       - 140a b x - 10a
+--R  /
+--R        2
+--R     20x
+--R                                         Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 414
+
+--S 415 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 415
+
+)clear all
+
+--S 416 of 3330
+t0000:=(a+b*x)^7/x^4
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       4
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 416
+
+--S 417 of 3330
+r0000:=-1/3*a^7/x^3-7/2*a^6*b/x^2-21*a^5*b^2/x+35*a^3*b^4*x+21/2*a^2*b^5*x^2+_
+     7/3*a*b^6*x^3+1/4*b^7*x^4+35*a^4*b^3*log(x)
+--R 
+--R
+--R   (2)
+--R           4 3 3           7 7        6 6       2 5 5       3 4 4       5 2 2
+--R       420a b x log(x) + 3b x  + 28a b x  + 126a b x  + 420a b x  - 252a b x
+--R     + 
+--R            6        7
+--R       - 42a b x - 4a
+--R  /
+--R        3
+--R     12x
+--R                                                    Type: Expression(Integer)
+--E 417
+
+--S 418 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           4 3 3           7 7        6 6       2 5 5       3 4 4       5 2 2
+--R       420a b x log(x) + 3b x  + 28a b x  + 126a b x  + 420a b x  - 252a b x
+--R     + 
+--R            6        7
+--R       - 42a b x - 4a
+--R  /
+--R        3
+--R     12x
+--R                                         Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 419
+
+--S 420 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 420
+
+)clear all
+
+--S 421 of 3330
+t0000:=(a+b*x)^7/x^5
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       5
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 421
+
+--S 422 of 3330
+r0000:=-1/4*a^7/x^4-7/3*a^6*b/x^3-21/2*a^5*b^2/x^2-35*a^4*b^3/x+_
+     21*a^2*b^5*x+7/2*a*b^6*x^2+1/3*b^7*x^3+35*a^3*b^4*log(x)
+--R 
+--R
+--R   (2)
+--R           3 4 4           7 7        6 6       2 5 5       4 3 3       5 2 2
+--R       420a b x log(x) + 4b x  + 42a b x  + 252a b x  - 420a b x  - 126a b x
+--R     + 
+--R            6        7
+--R       - 28a b x - 3a
+--R  /
+--R        4
+--R     12x
+--R                                                    Type: Expression(Integer)
+--E 422
+
+--S 423 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           3 4 4           7 7        6 6       2 5 5       4 3 3       5 2 2
+--R       420a b x log(x) + 4b x  + 42a b x  + 252a b x  - 420a b x  - 126a b x
+--R     + 
+--R            6        7
+--R       - 28a b x - 3a
+--R  /
+--R        4
+--R     12x
+--R                                         Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 424
+
+--S 425 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 425
+
+)clear all
+
+--S 426 of 3330
+t0000:=(a+b*x)^7/x^6
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       6
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 426
+
+--S 427 of 3330
+r0000:=-1/5*a^7/x^5-7/4*a^6*b/x^4-7*a^5*b^2/x^3-35/2*a^4*b^3/x^2-_
+     35*a^3*b^4/x+7*a*b^6*x+1/2*b^7*x^2+21*a^2*b^5*log(x)
+--R 
+--R
+--R   (2)
+--R           2 5 5            7 7         6 6       3 4 4       4 3 3       5 2 2
+--R       420a b x log(x) + 10b x  + 140a b x  - 700a b x  - 350a b x  - 140a b x
+--R     + 
+--R            6        7
+--R       - 35a b x - 4a
+--R  /
+--R        5
+--R     20x
+--R                                                    Type: Expression(Integer)
+--E 427
+
+--S 428 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           2 5 5            7 7         6 6       3 4 4       4 3 3       5 2 2
+--R       420a b x log(x) + 10b x  + 140a b x  - 700a b x  - 350a b x  - 140a b x
+--R     + 
+--R            6        7
+--R       - 35a b x - 4a
+--R  /
+--R        5
+--R     20x
+--R                                         Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 429
+
+--S 430 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 430
+
+)clear all
+
+--S 431 of 3330
+t0000:=(a+b*x)^7/x^7
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       7
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 431
+
+--S 432 of 3330
+r0000:=-1/6*a^7/x^6-7/5*a^6*b/x^5-21/4*a^5*b^2/x^4-35/3*a^4*b^3/x^3-_
+     35/2*a^3*b^4/x^2-21*a^2*b^5/x+b^7*x+7*a*b^6*log(x)
+--R 
+--R
+--R   (2)
+--R             6 6            7 7        2 5 5        3 4 4       4 3 3
+--R       420a b x log(x) + 60b x  - 1260a b x  - 1050a b x  - 700a b x
+--R     + 
+--R             5 2 2      6         7
+--R       - 315a b x  - 84a b x - 10a
+--R  /
+--R        6
+--R     60x
+--R                                                    Type: Expression(Integer)
+--E 432
+
+--S 433 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             6 6            7 7        2 5 5        3 4 4       4 3 3
+--R       420a b x log(x) + 60b x  - 1260a b x  - 1050a b x  - 700a b x
+--R     + 
+--R             5 2 2      6         7
+--R       - 315a b x  - 84a b x - 10a
+--R  /
+--R        6
+--R     60x
+--R                                         Type: Union(Expression(Integer),...)
+--E 433
+
+--S 434 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 434
+
+--S 435 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 435
+
+)clear all
+
+--S 436 of 3330
+t0000:=(a+b*x)^7/x^8
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       8
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 436
+
+--S 437 of 3330
+r0000:=-1/7*a^7/x^7-7/6*a^6*b/x^6-21/5*a^5*b^2/x^5-35/4*a^4*b^3/x^4-_
+     35/3*a^3*b^4/x^3-21/2*a^2*b^5/x^2-7*a*b^6/x+b^7*log(x)
+--R 
+--R
+--R   (2)
+--R           7 7                6 6        2 5 5        3 4 4        4 3 3
+--R       420b x log(x) - 2940a b x  - 4410a b x  - 4900a b x  - 3675a b x
+--R     + 
+--R              5 2 2       6         7
+--R       - 1764a b x  - 490a b x - 60a
+--R  /
+--R         7
+--R     420x
+--R                                                    Type: Expression(Integer)
+--E 437
+
+--S 438 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           7 7                6 6        2 5 5        3 4 4        4 3 3
+--R       420b x log(x) - 2940a b x  - 4410a b x  - 4900a b x  - 3675a b x
+--R     + 
+--R              5 2 2       6         7
+--R       - 1764a b x  - 490a b x - 60a
+--R  /
+--R         7
+--R     420x
+--R                                         Type: Union(Expression(Integer),...)
+--E 438
+
+--S 439 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 439
+
+--S 440 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 440
+
+)clear all
+
+--S 441 of 3330
+t0000:=(a+b*x)^7/x^9
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       9
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 441
+
+--S 442 of 3330
+r0000:=-1/8*(a+b*x)^8/(a*x^8)
+--R 
+--R
+--R   (2)
+--R         1  8 8      7 7   7  2 6 6     3 5 5   35  4 4 4     5 3 3   7  6 2 2
+--R       - - b x  - a b x  - - a b x  - 7a b x  - -- a b x  - 7a b x  - - a b x
+--R         8                 2                     4                    2
+--R     + 
+--R          7      1  8
+--R       - a b x - - a
+--R                 8
+--R  /
+--R        8
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 442
+
+--S 443 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R       7 7        6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   - 8b x  - 28a b x  - 56a b x  - 70a b x  - 56a b x  - 28a b x  - 8a b x - a
+--R   ----------------------------------------------------------------------------
+--R                                          8
+--R                                        8x
+--R                                         Type: Union(Expression(Integer),...)
+--E 443
+
+--S 444 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R         8
+--R        b
+--R   (4)  --
+--R        8a
+--R                                                    Type: Expression(Integer)
+--E 444
+
+--S 445 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 445
+
+)clear all
+
+--S 446 of 3330
+t0000:=(a+b*x)^7/x^10
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       10
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 446
+
+--S 447 of 3330
+r0000:=-1/9*(a+b*x)^8/(a*x^9)+1/72*b*(a+b*x)^8/(a^2*x^8)
+--R 
+--R
+--R   (2)
+--R        1  9 9   1  2 7 7   7  3 6 6   21  4 5 5     5 4 4   35  6 3 3     7 2 2
+--R       -- b x  - - a b x  - - a b x  - -- a b x  - 7a b x  - -- a b x  - 3a b x
+--R       72        2          3           4                     6
+--R     + 
+--R         7  8      1  9
+--R       - - a b x - - a
+--R         8         9
+--R  /
+--R      2 9
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 447
+
+--S 448 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            7 7         6 6       2 5 5       3 4 4       4 3 3       5 2 2
+--R       - 36b x  - 168a b x  - 378a b x  - 504a b x  - 420a b x  - 216a b x
+--R     + 
+--R            6        7
+--R       - 63a b x - 8a
+--R  /
+--R        9
+--R     72x
+--R                                         Type: Union(Expression(Integer),...)
+--E 448
+
+--S 449 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            9
+--R           b
+--R   (4)  - ----
+--R             2
+--R          72a
+--R                                                    Type: Expression(Integer)
+--E 449
+
+--S 450 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 450
+
+)clear all
+
+--S 451 of 3330
+t0000:=(a+b*x)^7/x^11
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       11
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 451
+
+--S 452 of 3330
+r0000:=-1/10*(a+b*x)^8/(a*x^10)+1/45*b*(a+b*x)^8/(a^2*x^9)-_
+     1/360*b^2*(a+b*x)^8/(a^3*x^8)
+--R 
+--R
+--R   (2)
+--R          1   10 10   1  3 7 7   7  4 6 6   21  5 5 5   35  6 4 4     7 3 3
+--R       - --- b  x   - - a b x  - - a b x  - -- a b x  - -- a b x  - 5a b x
+--R         360          3          4           5           6
+--R     + 
+--R         21  8 2 2   7  9       1  10
+--R       - -- a b x  - - a b x - -- a
+--R          8          9         10
+--R  /
+--R      3 10
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 452
+
+--S 453 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             7 7         6 6        2 5 5        3 4 4        4 3 3       5 2 2
+--R       - 120b x  - 630a b x  - 1512a b x  - 2100a b x  - 1800a b x  - 945a b x
+--R     + 
+--R             6         7
+--R       - 280a b x - 36a
+--R  /
+--R         10
+--R     360x
+--R                                         Type: Union(Expression(Integer),...)
+--E 453
+
+--S 454 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R          10
+--R         b
+--R   (4)  -----
+--R            3
+--R        360a
+--R                                                    Type: Expression(Integer)
+--E 454
+
+--S 455 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 455
+
+)clear all
+
+--S 456 of 3330
+t0000:=(a+b*x)^7/x^12
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       12
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 456
+
+--S 457 of 3330
+r0000:=-1/11*(a+b*x)^8/(a*x^11)+3/110*b*(a+b*x)^8/(a^2*x^10)-_
+     1/165*b^2*(a+b*x)^8/(a^3*x^9)+1/1320*b^3*(a+b*x)^8/(a^4*x^8)
+--R 
+--R
+--R   (2)
+--R         1   11 11   1  4 7 7   7  5 6 6   7  6 5 5     7 4 4   35  8 3 3
+--R       ---- b  x   - - a b x  - - a b x  - - a b x  - 5a b x  - -- a b x
+--R       1320          4          5          2                     8
+--R     + 
+--R         7  9 2 2    7  10       1  11
+--R       - - a b x  - -- a  b x - -- a
+--R         3          10          11
+--R  /
+--R      4 11
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 457
+
+--S 458 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             7 7          6 6        2 5 5        3 4 4        4 3 3
+--R       - 330b x  - 1848a b x  - 4620a b x  - 6600a b x  - 5775a b x
+--R     + 
+--R              5 2 2       6          7
+--R       - 3080a b x  - 924a b x - 120a
+--R  /
+--R          11
+--R     1320x
+--R                                         Type: Union(Expression(Integer),...)
+--E 458
+
+--S 459 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R             11
+--R            b
+--R   (4)  - ------
+--R               4
+--R          1320a
+--R                                                    Type: Expression(Integer)
+--E 459
+
+--S 460 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 460
+
+)clear all
+
+--S 461 of 3330
+t0000:=(a+b*x)^7/x^13
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       13
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 461
+
+--S 462 of 3330
+r0000:=-1/12*a^7/x^12-7/11*a^6*b/x^11-21/10*a^5*b^2/x^10-35/9*a^4*b^3/x^9-_
+     35/8*a^3*b^4/x^8-3*a^2*b^5/x^7-7/6*a*b^6/x^6-1/5*b^7/x^5
+--R 
+--R
+--R   (2)
+--R         1  7 7   7    6 6     2 5 5   35  3 4 4   35  4 3 3   21  5 2 2
+--R       - - b x  - - a b x  - 3a b x  - -- a b x  - -- a b x  - -- a b x
+--R         5        6                     8           9          10
+--R     + 
+--R          7  6       1  7
+--R       - -- a b x - -- a
+--R         11         12
+--R  /
+--R      12
+--R     x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 462
+
+--S 463 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             7 7          6 6         2 5 5         3 4 4         4 3 3
+--R       - 792b x  - 4620a b x  - 11880a b x  - 17325a b x  - 15400a b x
+--R     + 
+--R              5 2 2        6          7
+--R       - 8316a b x  - 2520a b x - 330a
+--R  /
+--R          12
+--R     3960x
+--R                                         Type: Union(Expression(Integer),...)
+--E 463
+
+--S 464 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 464
+
+--S 465 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 465
+
+)clear all
+
+--S 466 of 3330
+t0000:=(a+b*x)^7/x^14
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       14
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 466
+
+--S 467 of 3330
+r0000:=-1/13*a^7/x^13-7/12*a^6*b/x^12-21/11*a^5*b^2/x^11-7/2*a^4*b^3/x^10-_
+     35/9*a^3*b^4/x^9-21/8*a^2*b^5/x^8-a*b^6/x^7-1/6*b^7/x^6
+--R 
+--R
+--R   (2)
+--R         1  7 7      6 6   21  2 5 5   35  3 4 4   7  4 3 3   21  5 2 2
+--R       - - b x  - a b x  - -- a b x  - -- a b x  - - a b x  - -- a b x
+--R         6                  8           9          2          11
+--R     + 
+--R          7  6       1  7
+--R       - -- a b x - -- a
+--R         12         13
+--R  /
+--R      13
+--R     x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 467
+
+--S 468 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              7 7           6 6         2 5 5         3 4 4         4 3 3
+--R       - 1716b x  - 10296a b x  - 27027a b x  - 40040a b x  - 36036a b x
+--R     + 
+--R               5 2 2        6          7
+--R       - 19656a b x  - 6006a b x - 792a
+--R  /
+--R           13
+--R     10296x
+--R                                         Type: Union(Expression(Integer),...)
+--E 468
+
+--S 469 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 469
+
+--S 470 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 470
+
+)clear all
+
+--S 471 of 3330
+t0000:=(a+b*x)^7/x^15
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       15
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 471
+
+--S 472 of 3330
+r0000:=-1/14*a^7/x^14-7/13*a^6*b/x^13-7/4*a^5*b^2/x^12-35/11*a^4*b^3/x^11-_
+     7/2*a^3*b^4/x^10-7/3*a^2*b^5/x^9-7/8*a*b^6/x^8-1/7*b^7/x^7
+--R 
+--R
+--R   (2)
+--R         1  7 7   7    6 6   7  2 5 5   7  3 4 4   35  4 3 3   7  5 2 2
+--R       - - b x  - - a b x  - - a b x  - - a b x  - -- a b x  - - a b x
+--R         7        8          3          2          11          4
+--R     + 
+--R          7  6       1  7
+--R       - -- a b x - -- a
+--R         13         14
+--R  /
+--R      14
+--R     x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 472
+
+--S 473 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              7 7           6 6         2 5 5         3 4 4         4 3 3
+--R       - 3432b x  - 21021a b x  - 56056a b x  - 84084a b x  - 76440a b x
+--R     + 
+--R               5 2 2         6           7
+--R       - 42042a b x  - 12936a b x - 1716a
+--R  /
+--R           14
+--R     24024x
+--R                                         Type: Union(Expression(Integer),...)
+--E 473
+
+--S 474 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 474
+
+--S 475 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 475
+
+)clear all
+
+--S 476 of 3330
+t0000:=(a+b*x)^7/x^16
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       16
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 476
+
+--S 477 of 3330
+r0000:=-1/15*a^7/x^15-1/2*a^6*b/x^14-21/13*a^5*b^2/x^13-35/12*a^4*b^3/x^12-_
+     35/11*a^3*b^4/x^11-21/10*a^2*b^5/x^10-7/9*a*b^6/x^9-1/8*b^7/x^8
+--R 
+--R
+--R   (2)
+--R         1  7 7   7    6 6   21  2 5 5   35  3 4 4   35  4 3 3   21  5 2 2
+--R       - - b x  - - a b x  - -- a b x  - -- a b x  - -- a b x  - -- a b x
+--R         8        9          10          11          12          13
+--R     + 
+--R         1  6       1  7
+--R       - - a b x - -- a
+--R         2         15
+--R  /
+--R      15
+--R     x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 477
+
+--S 478 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              7 7           6 6          2 5 5          3 4 4          4 3 3
+--R       - 6435b x  - 40040a b x  - 108108a b x  - 163800a b x  - 150150a b x
+--R     + 
+--R               5 2 2         6           7
+--R       - 83160a b x  - 25740a b x - 3432a
+--R  /
+--R           15
+--R     51480x
+--R                                         Type: Union(Expression(Integer),...)
+--E 478
+
+--S 479 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 479
+
+--S 480 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 480
+
+)clear all
+
+--S 481 of 3330
+t0000:=x^m*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  *
+--R      m
+--R     x
+--R                                                    Type: Expression(Integer)
+--E 481
+
+--S 482 of 3330
+r0000:=a^10*x^(1+m)/(1+m)+10*a^9*b*x^(2+m)/(2+m)+45*a^8*b^2*x^(3+m)/(3+m)+_
+     120*a^7*b^3*x^(4+m)/(4+m)+210*a^6*b^4*x^(5+m)/(5+m)+_
+     252*a^5*b^5*x^(6+m)/(6+m)+210*a^4*b^6*x^(7+m)/(7+m)+_
+     120*a^3*b^7*x^(8+m)/(8+m)+45*a^2*b^8*x^(9+m)/(9+m)+_
+     10*a*b^9*x^(10+m)/(10+m)+b^10*x^(11+m)/(11+m)
+--R 
+--R
+--R   (2)
+--R            10 10      10 9        10 8         10 7          10 6          10 5
+--R           b  m   + 55b  m  + 1320b  m  + 18150b  m  + 157773b  m  + 902055b  m
+--R         + 
+--R                 10 4           10 3            10 2            10            10
+--R         3416930b  m  + 8409500b  m  + 12753576b  m  + 10628640b  m + 3628800b
+--R      *
+--R          m + 11
+--R         x
+--R     + 
+--R                9 10         9 9           9 8            9 7             9 6
+--R           10a b m   + 560a b m  + 13650a b m  + 190200a b m  + 1672230a b m
+--R         + 
+--R                     9 5              9 4              9 3               9 2
+--R           9653280a b m  + 36862550a b m  + 91331800a b m  + 139262760a b m
+--R         + 
+--R                       9               9
+--R           116552160a b m + 39916800a b
+--R      *
+--R          m + 10
+--R         x
+--R     + 
+--R              2 8 10        2 8 9         2 8 8          2 8 7           2 8 6
+--R           45a b m   + 2565a b m  + 63540a b m  + 898290a b m  + 7999425a b m
+--R         + 
+--R                    2 8 5             2 8 4             2 8 3             2 8 2
+--R           46695285a b m  + 180021510a b m  + 449614260a b m  + 690085080a b m
+--R         + 
+--R                     2 8              2 8
+--R           580543200a b m + 199584000a b
+--R      *
+--R          m + 9
+--R         x
+--R     + 
+--R               3 7 10        3 7 9          3 7 8           3 7 7
+--R           120a b m   + 6960a b m  + 175320a b m  + 2517840a b m
+--R         + 
+--R                    3 7 6             3 7 5             3 7 4              3 7 3
+--R           22748040a b m  + 134522640a b m  + 524563080a b m  + 1322982960a b m
+--R         + 
+--R                      3 7 2              3 7              3 7
+--R           2047105440a b m  + 1733313600a b m + 598752000a b
+--R      *
+--R          m + 8
+--R         x
+--R     + 
+--R               4 6 10         4 6 9          4 6 8           4 6 7
+--R           210a b m   + 12390a b m  + 317520a b m  + 4638060a b m
+--R         + 
+--R                    4 6 6             4 6 5              4 6 4
+--R           42592410a b m  + 255740310a b m  + 1011120180a b m
+--R         + 
+--R                    4 6 3              4 6 2              4 6               4 6
+--R         2581262040a b m  + 4035361680a b m  + 3445243200a b m + 1197504000a b
+--R      *
+--R          m + 7
+--R         x
+--R     + 
+--R               5 5 10         5 5 9          5 5 8           5 5 7
+--R           252a b m   + 15120a b m  + 394380a b m  + 5866560a b m
+--R         + 
+--R                    5 5 6             5 5 5              5 5 4
+--R           54871236a b m  + 335437200a b m  + 1348939620a b m
+--R         + 
+--R                    5 5 3              5 5 2              5 5               5 5
+--R         3497286240a b m  + 5541317712a b m  + 4783423680a b m + 1676505600a b
+--R      *
+--R          m + 6
+--R         x
+--R     + 
+--R               6 4 10         6 4 9          6 4 8           6 4 7
+--R           210a b m   + 12810a b m  + 340200a b m  + 5159700a b m
+--R         + 
+--R                    6 4 6             6 4 5              6 4 4
+--R           49260330a b m  + 307585530a b m  + 1263374700a b m
+--R         + 
+--R                    6 4 3              6 4 2              6 4               6 4
+--R         3342229800a b m  + 5393046960a b m  + 4727540160a b m + 1676505600a b
+--R      *
+--R          m + 5
+--R         x
+--R     + 
+--R               7 3 10        7 3 9          7 3 8           7 3 7
+--R           120a b m   + 7440a b m  + 201240a b m  + 3115440a b m
+--R         + 
+--R                    7 3 6             7 3 5             7 3 4              7 3 3
+--R           30429000a b m  + 194790960a b m  + 821580360a b m  + 2233166160a b m
+--R         + 
+--R                      7 3 2              7 3               7 3
+--R           3698304480a b m  + 3316939200a b m + 1197504000a b
+--R      *
+--R          m + 4
+--R         x
+--R     + 
+--R              8 2 10        8 2 9         8 2 8           8 2 7            8 2 6
+--R           45a b m   + 2835a b m  + 78120a b m  + 1235790a b m  + 12376665a b m
+--R         + 
+--R                    8 2 5             8 2 4              8 2 3
+--R           81560115a b m  + 355598730a b m  + 1003011660a b m
+--R         + 
+--R                      8 2 2              8 2              8 2
+--R           1727578440a b m  + 1608573600a b m + 598752000a b
+--R      *
+--R          m + 3
+--R         x
+--R     + 
+--R              9   10       9   9         9   8          9   7           9   6
+--R           10a b m   + 640a b m  + 17970a b m  + 290760a b m  + 2992710a b m
+--R         + 
+--R                    9   5            9   4             9   3             9   2
+--R           20390160a b m  + 92615030a b m  + 274727240a b m  + 503126280a b m
+--R         + 
+--R                     9                9
+--R           502927200a b m + 199584000a b
+--R      *
+--R          m + 2
+--R         x
+--R     + 
+--R            10 10      10 9        10 8         10 7          10 6
+--R           a  m   + 65a  m  + 1860a  m  + 30810a  m  + 326613a  m
+--R         + 
+--R                   10 5            10 4            10 3            10 2
+--R           2310945a  m  + 11028590a  m  + 34967140a  m  + 70290936a  m
+--R         + 
+--R                    10             10
+--R           80627040a  m + 39916800a
+--R      *
+--R          m + 1
+--R         x
+--R  /
+--R        11      10        9         8          7           6            5
+--R       m   + 66m   + 1925m  + 32670m  + 357423m  + 2637558m  + 13339535m
+--R     + 
+--R                4             3             2
+--R       45995730m  + 105258076m  + 150917976m  + 120543840m + 39916800
+--R                                                    Type: Expression(Integer)
+--E 482
+
+--S 483 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              10 10      10 9        10 8         10 7          10 6
+--R             b  m   + 55b  m  + 1320b  m  + 18150b  m  + 157773b  m
+--R           + 
+--R                    10 5           10 4           10 3            10 2
+--R             902055b  m  + 3416930b  m  + 8409500b  m  + 12753576b  m
+--R           + 
+--R                      10            10
+--R             10628640b  m + 3628800b
+--R        *
+--R            11
+--R           x
+--R       + 
+--R                  9 10         9 9           9 8            9 7             9 6
+--R             10a b m   + 560a b m  + 13650a b m  + 190200a b m  + 1672230a b m
+--R           + 
+--R                       9 5              9 4              9 3               9 2
+--R             9653280a b m  + 36862550a b m  + 91331800a b m  + 139262760a b m
+--R           + 
+--R                         9               9
+--R             116552160a b m + 39916800a b
+--R        *
+--R            10
+--R           x
+--R       + 
+--R                2 8 10        2 8 9         2 8 8          2 8 7           2 8 6
+--R             45a b m   + 2565a b m  + 63540a b m  + 898290a b m  + 7999425a b m
+--R           + 
+--R                      2 8 5             2 8 4             2 8 3
+--R             46695285a b m  + 180021510a b m  + 449614260a b m
+--R           + 
+--R                       2 8 2             2 8              2 8
+--R             690085080a b m  + 580543200a b m + 199584000a b
+--R        *
+--R            9
+--R           x
+--R       + 
+--R                 3 7 10        3 7 9          3 7 8           3 7 7
+--R             120a b m   + 6960a b m  + 175320a b m  + 2517840a b m
+--R           + 
+--R                      3 7 6             3 7 5             3 7 4
+--R             22748040a b m  + 134522640a b m  + 524563080a b m
+--R           + 
+--R                      3 7 3              3 7 2              3 7              3 7
+--R           1322982960a b m  + 2047105440a b m  + 1733313600a b m + 598752000a b
+--R        *
+--R            8
+--R           x
+--R       + 
+--R                 4 6 10         4 6 9          4 6 8           4 6 7
+--R             210a b m   + 12390a b m  + 317520a b m  + 4638060a b m
+--R           + 
+--R                      4 6 6             4 6 5              4 6 4
+--R             42592410a b m  + 255740310a b m  + 1011120180a b m
+--R           + 
+--R                        4 6 3              4 6 2              4 6
+--R             2581262040a b m  + 4035361680a b m  + 3445243200a b m
+--R           + 
+--R                        4 6
+--R             1197504000a b
+--R        *
+--R            7
+--R           x
+--R       + 
+--R                 5 5 10         5 5 9          5 5 8           5 5 7
+--R             252a b m   + 15120a b m  + 394380a b m  + 5866560a b m
+--R           + 
+--R                      5 5 6             5 5 5              5 5 4
+--R             54871236a b m  + 335437200a b m  + 1348939620a b m
+--R           + 
+--R                        5 5 3              5 5 2              5 5
+--R             3497286240a b m  + 5541317712a b m  + 4783423680a b m
+--R           + 
+--R                        5 5
+--R             1676505600a b
+--R        *
+--R            6
+--R           x
+--R       + 
+--R                 6 4 10         6 4 9          6 4 8           6 4 7
+--R             210a b m   + 12810a b m  + 340200a b m  + 5159700a b m
+--R           + 
+--R                      6 4 6             6 4 5              6 4 4
+--R             49260330a b m  + 307585530a b m  + 1263374700a b m
+--R           + 
+--R                        6 4 3              6 4 2              6 4
+--R             3342229800a b m  + 5393046960a b m  + 4727540160a b m
+--R           + 
+--R                        6 4
+--R             1676505600a b
+--R        *
+--R            5
+--R           x
+--R       + 
+--R                 7 3 10        7 3 9          7 3 8           7 3 7
+--R             120a b m   + 7440a b m  + 201240a b m  + 3115440a b m
+--R           + 
+--R                      7 3 6             7 3 5             7 3 4
+--R             30429000a b m  + 194790960a b m  + 821580360a b m
+--R           + 
+--R                        7 3 3              7 3 2              7 3
+--R             2233166160a b m  + 3698304480a b m  + 3316939200a b m
+--R           + 
+--R                        7 3
+--R             1197504000a b
+--R        *
+--R            4
+--R           x
+--R       + 
+--R                8 2 10        8 2 9         8 2 8           8 2 7
+--R             45a b m   + 2835a b m  + 78120a b m  + 1235790a b m
+--R           + 
+--R                      8 2 6            8 2 5             8 2 4
+--R             12376665a b m  + 81560115a b m  + 355598730a b m
+--R           + 
+--R                      8 2 3              8 2 2              8 2              8 2
+--R           1003011660a b m  + 1727578440a b m  + 1608573600a b m + 598752000a b
+--R        *
+--R            3
+--R           x
+--R       + 
+--R                9   10       9   9         9   8          9   7           9   6
+--R             10a b m   + 640a b m  + 17970a b m  + 290760a b m  + 2992710a b m
+--R           + 
+--R                      9   5            9   4             9   3             9   2
+--R             20390160a b m  + 92615030a b m  + 274727240a b m  + 503126280a b m
+--R           + 
+--R                       9                9
+--R             502927200a b m + 199584000a b
+--R        *
+--R            2
+--R           x
+--R       + 
+--R              10 10      10 9        10 8         10 7          10 6
+--R             a  m   + 65a  m  + 1860a  m  + 30810a  m  + 326613a  m
+--R           + 
+--R                     10 5            10 4            10 3            10 2
+--R             2310945a  m  + 11028590a  m  + 34967140a  m  + 70290936a  m
+--R           + 
+--R                      10             10
+--R             80627040a  m + 39916800a
+--R        *
+--R           x
+--R    *
+--R         m log(x)
+--R       %e
+--R  /
+--R        11      10        9         8          7           6            5
+--R       m   + 66m   + 1925m  + 32670m  + 357423m  + 2637558m  + 13339535m
+--R     + 
+--R                4             3             2
+--R       45995730m  + 105258076m  + 150917976m  + 120543840m + 39916800
+--R                                         Type: Union(Expression(Integer),...)
+--E 483
+
+--S 484 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                10 10      10 9        10 8         10 7          10 6
+--R               b  m   + 55b  m  + 1320b  m  + 18150b  m  + 157773b  m
+--R             + 
+--R                      10 5           10 4           10 3            10 2
+--R               902055b  m  + 3416930b  m  + 8409500b  m  + 12753576b  m
+--R             + 
+--R                        10            10
+--R               10628640b  m + 3628800b
+--R          *
+--R              11
+--R             x
+--R         + 
+--R                    9 10         9 9           9 8            9 7
+--R               10a b m   + 560a b m  + 13650a b m  + 190200a b m
+--R             + 
+--R                         9 6             9 5              9 4              9 3
+--R               1672230a b m  + 9653280a b m  + 36862550a b m  + 91331800a b m
+--R             + 
+--R                           9 2               9               9
+--R               139262760a b m  + 116552160a b m + 39916800a b
+--R          *
+--R              10
+--R             x
+--R         + 
+--R                  2 8 10        2 8 9         2 8 8          2 8 7
+--R               45a b m   + 2565a b m  + 63540a b m  + 898290a b m
+--R             + 
+--R                       2 8 6            2 8 5             2 8 4
+--R               7999425a b m  + 46695285a b m  + 180021510a b m
+--R             + 
+--R                       2 8 3             2 8 2             2 8              2 8
+--R             449614260a b m  + 690085080a b m  + 580543200a b m + 199584000a b
+--R          *
+--R              9
+--R             x
+--R         + 
+--R                   3 7 10        3 7 9          3 7 8           3 7 7
+--R               120a b m   + 6960a b m  + 175320a b m  + 2517840a b m
+--R             + 
+--R                        3 7 6             3 7 5             3 7 4
+--R               22748040a b m  + 134522640a b m  + 524563080a b m
+--R             + 
+--R                          3 7 3              3 7 2              3 7
+--R               1322982960a b m  + 2047105440a b m  + 1733313600a b m
+--R             + 
+--R                         3 7
+--R               598752000a b
+--R          *
+--R              8
+--R             x
+--R         + 
+--R                   4 6 10         4 6 9          4 6 8           4 6 7
+--R               210a b m   + 12390a b m  + 317520a b m  + 4638060a b m
+--R             + 
+--R                        4 6 6             4 6 5              4 6 4
+--R               42592410a b m  + 255740310a b m  + 1011120180a b m
+--R             + 
+--R                          4 6 3              4 6 2              4 6
+--R               2581262040a b m  + 4035361680a b m  + 3445243200a b m
+--R             + 
+--R                          4 6
+--R               1197504000a b
+--R          *
+--R              7
+--R             x
+--R         + 
+--R                   5 5 10         5 5 9          5 5 8           5 5 7
+--R               252a b m   + 15120a b m  + 394380a b m  + 5866560a b m
+--R             + 
+--R                        5 5 6             5 5 5              5 5 4
+--R               54871236a b m  + 335437200a b m  + 1348939620a b m
+--R             + 
+--R                          5 5 3              5 5 2              5 5
+--R               3497286240a b m  + 5541317712a b m  + 4783423680a b m
+--R             + 
+--R                          5 5
+--R               1676505600a b
+--R          *
+--R              6
+--R             x
+--R         + 
+--R                   6 4 10         6 4 9          6 4 8           6 4 7
+--R               210a b m   + 12810a b m  + 340200a b m  + 5159700a b m
+--R             + 
+--R                        6 4 6             6 4 5              6 4 4
+--R               49260330a b m  + 307585530a b m  + 1263374700a b m
+--R             + 
+--R                          6 4 3              6 4 2              6 4
+--R               3342229800a b m  + 5393046960a b m  + 4727540160a b m
+--R             + 
+--R                          6 4
+--R               1676505600a b
+--R          *
+--R              5
+--R             x
+--R         + 
+--R                   7 3 10        7 3 9          7 3 8           7 3 7
+--R               120a b m   + 7440a b m  + 201240a b m  + 3115440a b m
+--R             + 
+--R                        7 3 6             7 3 5             7 3 4
+--R               30429000a b m  + 194790960a b m  + 821580360a b m
+--R             + 
+--R                          7 3 3              7 3 2              7 3
+--R               2233166160a b m  + 3698304480a b m  + 3316939200a b m
+--R             + 
+--R                          7 3
+--R               1197504000a b
+--R          *
+--R              4
+--R             x
+--R         + 
+--R                  8 2 10        8 2 9         8 2 8           8 2 7
+--R               45a b m   + 2835a b m  + 78120a b m  + 1235790a b m
+--R             + 
+--R                        8 2 6            8 2 5             8 2 4
+--R               12376665a b m  + 81560115a b m  + 355598730a b m
+--R             + 
+--R                          8 2 3              8 2 2              8 2
+--R               1003011660a b m  + 1727578440a b m  + 1608573600a b m
+--R             + 
+--R                         8 2
+--R               598752000a b
+--R          *
+--R              3
+--R             x
+--R         + 
+--R                  9   10       9   9         9   8          9   7
+--R               10a b m   + 640a b m  + 17970a b m  + 290760a b m
+--R             + 
+--R                       9   6            9   5            9   4             9   3
+--R               2992710a b m  + 20390160a b m  + 92615030a b m  + 274727240a b m
+--R             + 
+--R                         9   2             9                9
+--R               503126280a b m  + 502927200a b m + 199584000a b
+--R          *
+--R              2
+--R             x
+--R         + 
+--R                10 10      10 9        10 8         10 7          10 6
+--R               a  m   + 65a  m  + 1860a  m  + 30810a  m  + 326613a  m
+--R             + 
+--R                       10 5            10 4            10 3            10 2
+--R               2310945a  m  + 11028590a  m  + 34967140a  m  + 70290936a  m
+--R             + 
+--R                        10             10
+--R               80627040a  m + 39916800a
+--R          *
+--R             x
+--R      *
+--R           m log(x)
+--R         %e
+--R     + 
+--R              10 10      10 9        10 8         10 7          10 6
+--R           - b  m   - 55b  m  - 1320b  m  - 18150b  m  - 157773b  m
+--R         + 
+--R                    10 5           10 4           10 3            10 2
+--R           - 902055b  m  - 3416930b  m  - 8409500b  m  - 12753576b  m
+--R         + 
+--R                      10            10
+--R           - 10628640b  m - 3628800b
+--R      *
+--R          m + 11
+--R         x
+--R     + 
+--R                  9 10         9 9           9 8            9 7             9 6
+--R           - 10a b m   - 560a b m  - 13650a b m  - 190200a b m  - 1672230a b m
+--R         + 
+--R                       9 5              9 4              9 3               9 2
+--R           - 9653280a b m  - 36862550a b m  - 91331800a b m  - 139262760a b m
+--R         + 
+--R                         9               9
+--R           - 116552160a b m - 39916800a b
+--R      *
+--R          m + 10
+--R         x
+--R     + 
+--R                2 8 10        2 8 9         2 8 8          2 8 7           2 8 6
+--R           - 45a b m   - 2565a b m  - 63540a b m  - 898290a b m  - 7999425a b m
+--R         + 
+--R                      2 8 5             2 8 4             2 8 3
+--R           - 46695285a b m  - 180021510a b m  - 449614260a b m
+--R         + 
+--R                       2 8 2             2 8              2 8
+--R           - 690085080a b m  - 580543200a b m - 199584000a b
+--R      *
+--R          m + 9
+--R         x
+--R     + 
+--R                 3 7 10        3 7 9          3 7 8           3 7 7
+--R           - 120a b m   - 6960a b m  - 175320a b m  - 2517840a b m
+--R         + 
+--R                      3 7 6             3 7 5             3 7 4
+--R           - 22748040a b m  - 134522640a b m  - 524563080a b m
+--R         + 
+--R                      3 7 3              3 7 2              3 7              3 7
+--R         - 1322982960a b m  - 2047105440a b m  - 1733313600a b m - 598752000a b
+--R      *
+--R          m + 8
+--R         x
+--R     + 
+--R                 4 6 10         4 6 9          4 6 8           4 6 7
+--R           - 210a b m   - 12390a b m  - 317520a b m  - 4638060a b m
+--R         + 
+--R                      4 6 6             4 6 5              4 6 4
+--R           - 42592410a b m  - 255740310a b m  - 1011120180a b m
+--R         + 
+--R                        4 6 3              4 6 2              4 6
+--R           - 2581262040a b m  - 4035361680a b m  - 3445243200a b m
+--R         + 
+--R                        4 6
+--R           - 1197504000a b
+--R      *
+--R          m + 7
+--R         x
+--R     + 
+--R                 5 5 10         5 5 9          5 5 8           5 5 7
+--R           - 252a b m   - 15120a b m  - 394380a b m  - 5866560a b m
+--R         + 
+--R                      5 5 6             5 5 5              5 5 4
+--R           - 54871236a b m  - 335437200a b m  - 1348939620a b m
+--R         + 
+--R                        5 5 3              5 5 2              5 5
+--R           - 3497286240a b m  - 5541317712a b m  - 4783423680a b m
+--R         + 
+--R                        5 5
+--R           - 1676505600a b
+--R      *
+--R          m + 6
+--R         x
+--R     + 
+--R                 6 4 10         6 4 9          6 4 8           6 4 7
+--R           - 210a b m   - 12810a b m  - 340200a b m  - 5159700a b m
+--R         + 
+--R                      6 4 6             6 4 5              6 4 4
+--R           - 49260330a b m  - 307585530a b m  - 1263374700a b m
+--R         + 
+--R                        6 4 3              6 4 2              6 4
+--R           - 3342229800a b m  - 5393046960a b m  - 4727540160a b m
+--R         + 
+--R                        6 4
+--R           - 1676505600a b
+--R      *
+--R          m + 5
+--R         x
+--R     + 
+--R                 7 3 10        7 3 9          7 3 8           7 3 7
+--R           - 120a b m   - 7440a b m  - 201240a b m  - 3115440a b m
+--R         + 
+--R                      7 3 6             7 3 5             7 3 4
+--R           - 30429000a b m  - 194790960a b m  - 821580360a b m
+--R         + 
+--R                        7 3 3              7 3 2              7 3
+--R           - 2233166160a b m  - 3698304480a b m  - 3316939200a b m
+--R         + 
+--R                        7 3
+--R           - 1197504000a b
+--R      *
+--R          m + 4
+--R         x
+--R     + 
+--R                8 2 10        8 2 9         8 2 8           8 2 7
+--R           - 45a b m   - 2835a b m  - 78120a b m  - 1235790a b m
+--R         + 
+--R                      8 2 6            8 2 5             8 2 4
+--R           - 12376665a b m  - 81560115a b m  - 355598730a b m
+--R         + 
+--R                      8 2 3              8 2 2              8 2              8 2
+--R         - 1003011660a b m  - 1727578440a b m  - 1608573600a b m - 598752000a b
+--R      *
+--R          m + 3
+--R         x
+--R     + 
+--R                9   10       9   9         9   8          9   7           9   6
+--R           - 10a b m   - 640a b m  - 17970a b m  - 290760a b m  - 2992710a b m
+--R         + 
+--R                      9   5            9   4             9   3             9   2
+--R           - 20390160a b m  - 92615030a b m  - 274727240a b m  - 503126280a b m
+--R         + 
+--R                       9                9
+--R           - 502927200a b m - 199584000a b
+--R      *
+--R          m + 2
+--R         x
+--R     + 
+--R              10 10      10 9        10 8         10 7          10 6
+--R           - a  m   - 65a  m  - 1860a  m  - 30810a  m  - 326613a  m
+--R         + 
+--R                     10 5            10 4            10 3            10 2
+--R           - 2310945a  m  - 11028590a  m  - 34967140a  m  - 70290936a  m
+--R         + 
+--R                      10             10
+--R           - 80627040a  m - 39916800a
+--R      *
+--R          m + 1
+--R         x
+--R  /
+--R        11      10        9         8          7           6            5
+--R       m   + 66m   + 1925m  + 32670m  + 357423m  + 2637558m  + 13339535m
+--R     + 
+--R                4             3             2
+--R       45995730m  + 105258076m  + 150917976m  + 120543840m + 39916800
+--R                                                    Type: Expression(Integer)
+--E 484
+
+--S 485 of 3330
+d0000:=normalize m0000
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 485
+
+)clear all
+
+--S 486 of 3330
+t0000:=x^9*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 19        9 18      2 8 17       3 7 16       4 6 15       5 5 14
+--R     b  x   + 10a b x   + 45a b x   + 120a b x   + 210a b x   + 252a b x
+--R   + 
+--R         6 4 13       7 3 12      8 2 11      9   10    10 9
+--R     210a b x   + 120a b x   + 45a b x   + 10a b x   + a  x
+--R                                                    Type: Polynomial(Integer)
+--E 486
+
+--S 487 of 3330
+r0000:=1/10*a^10*x^10+10/11*a^9*b*x^11+15/4*a^8*b^2*x^12+_
+     120/13*a^7*b^3*x^13+15*a^6*b^4*x^14+84/5*a^5*b^5*x^15+_
+     105/8*a^4*b^6*x^16+120/17*a^3*b^7*x^17+5/2*a^2*b^8*x^18+_
+     10/19*a*b^9*x^19+1/20*b^10*x^20
+--R 
+--R
+--R   (2)
+--R      1  10 20   10    9 19   5  2 8 18   120  3 7 17   105  4 6 16   84  5 5 15
+--R     -- b  x   + -- a b x   + - a b x   + --- a b x   + --- a b x   + -- a b x
+--R     20          19           2            17            8             5
+--R   + 
+--R        6 4 14   120  7 3 13   15  8 2 12   10  9   11    1  10 10
+--R     15a b x   + --- a b x   + -- a b x   + -- a b x   + -- a  x
+--R                  13            4           11           10
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 487
+
+--S 488 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 20   10    9 19   5  2 8 18   120  3 7 17   105  4 6 16   84  5 5 15
+--R     -- b  x   + -- a b x   + - a b x   + --- a b x   + --- a b x   + -- a b x
+--R     20          19           2            17            8             5
+--R   + 
+--R        6 4 14   120  7 3 13   15  8 2 12   10  9   11    1  10 10
+--R     15a b x   + --- a b x   + -- a b x   + -- a b x   + -- a  x
+--R                  13            4           11           10
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 488
+
+--S 489 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 489
+
+--S 490 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 490
+
+)clear all
+
+--S 491 of 3330
+t0000:=x^8*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 18        9 17      2 8 16       3 7 15       4 6 14       5 5 13
+--R     b  x   + 10a b x   + 45a b x   + 120a b x   + 210a b x   + 252a b x
+--R   + 
+--R         6 4 12       7 3 11      8 2 10      9   9    10 8
+--R     210a b x   + 120a b x   + 45a b x   + 10a b x  + a  x
+--R                                                    Type: Polynomial(Integer)
+--E 491
+
+--S 492 of 3330
+r0000:=1/9*a^10*x^9+a^9*b*x^10+45/11*a^8*b^2*x^11+10*a^7*b^3*x^12+_
+     210/13*a^6*b^4*x^13+18*a^5*b^5*x^14+14*a^4*b^6*x^15+_
+     15/2*a^3*b^7*x^16+45/17*a^2*b^8*x^17+5/9*a*b^9*x^18+1/19*b^10*x^19
+--R 
+--R
+--R   (2)
+--R      1  10 19   5    9 18   45  2 8 17   15  3 7 16      4 6 15      5 5 14
+--R     -- b  x   + - a b x   + -- a b x   + -- a b x   + 14a b x   + 18a b x
+--R     19          9           17            2
+--R   + 
+--R     210  6 4 13      7 3 12   45  8 2 11    9   10   1  10 9
+--R     --- a b x   + 10a b x   + -- a b x   + a b x   + - a  x
+--R      13                       11                     9
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 492
+
+--S 493 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 19   5    9 18   45  2 8 17   15  3 7 16      4 6 15      5 5 14
+--R     -- b  x   + - a b x   + -- a b x   + -- a b x   + 14a b x   + 18a b x
+--R     19          9           17            2
+--R   + 
+--R     210  6 4 13      7 3 12   45  8 2 11    9   10   1  10 9
+--R     --- a b x   + 10a b x   + -- a b x   + a b x   + - a  x
+--R      13                       11                     9
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 493
+
+--S 494 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 494
+
+--S 495 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 495
+
+)clear all
+
+--S 496 of 3330
+t0000:=x^7*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 17        9 16      2 8 15       3 7 14       4 6 13       5 5 12
+--R     b  x   + 10a b x   + 45a b x   + 120a b x   + 210a b x   + 252a b x
+--R   + 
+--R         6 4 11       7 3 10      8 2 9      9   8    10 7
+--R     210a b x   + 120a b x   + 45a b x  + 10a b x  + a  x
+--R                                                    Type: Polynomial(Integer)
+--E 496
+
+--S 497 of 3330
+r0000:=1/8*a^10*x^8+10/9*a^9*b*x^9+9/2*a^8*b^2*x^10+120/11*a^7*b^3*x^11+_
+     35/2*a^6*b^4*x^12+252/13*a^5*b^5*x^13+15*a^4*b^6*x^14+_
+     8*a^3*b^7*x^15+45/16*a^2*b^8*x^16+10/17*a*b^9*x^17+1/18*b^10*x^18
+--R 
+--R
+--R   (2)
+--R      1  10 18   10    9 17   45  2 8 16     3 7 15      4 6 14   252  5 5 13
+--R     -- b  x   + -- a b x   + -- a b x   + 8a b x   + 15a b x   + --- a b x
+--R     18          17           16                                   13
+--R   + 
+--R     35  6 4 12   120  7 3 11   9  8 2 10   10  9   9   1  10 8
+--R     -- a b x   + --- a b x   + - a b x   + -- a b x  + - a  x
+--R      2            11           2            9          8
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 497
+
+--S 498 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 18   10    9 17   45  2 8 16     3 7 15      4 6 14   252  5 5 13
+--R     -- b  x   + -- a b x   + -- a b x   + 8a b x   + 15a b x   + --- a b x
+--R     18          17           16                                   13
+--R   + 
+--R     35  6 4 12   120  7 3 11   9  8 2 10   10  9   9   1  10 8
+--R     -- a b x   + --- a b x   + - a b x   + -- a b x  + - a  x
+--R      2            11           2            9          8
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 498
+
+--S 499 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 499
+
+--S 500 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 500
+
+)clear all
+
+--S 501 of 3330
+t0000:=x^6*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 16        9 15      2 8 14       3 7 13       4 6 12       5 5 11
+--R     b  x   + 10a b x   + 45a b x   + 120a b x   + 210a b x   + 252a b x
+--R   + 
+--R         6 4 10       7 3 9      8 2 8      9   7    10 6
+--R     210a b x   + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                                    Type: Polynomial(Integer)
+--E 501
+
+--S 502 of 3330
+r0000:=1/11*a^6*(a+b*x)^11/b^7-1/2*a^5*(a+b*x)^12/b^7+_
+     15/13*a^4*(a+b*x)^13/b^7-10/7*a^3*(a+b*x)^14/b^7+a^2*(a+b*x)^15/b^7-_
+     3/8*a*(a+b*x)^16/b^7+1/17*(a+b*x)^17/b^7
+--R 
+--R
+--R   (2)
+--R        1  17 17   5    16 16     2 15 15   60  3 14 14   210  4 13 13
+--R       -- b  x   + - a b  x   + 3a b  x   + -- a b  x   + --- a b  x
+--R       17          8                         7             13
+--R     + 
+--R          5 12 12   210  6 11 11      7 10 10     8 9 9   5  9 8 8   1  10 7 7
+--R       21a b  x   + --- a b  x   + 12a b  x   + 5a b x  + - a b x  + - a  b x
+--R                     11                                   4          7
+--R     + 
+--R          1    17
+--R       ------ a
+--R       136136
+--R  /
+--R      7
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 502
+
+--S 503 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 17   5    9 16     2 8 15   60  3 7 14   210  4 6 13      5 5 12
+--R     -- b  x   + - a b x   + 3a b x   + -- a b x   + --- a b x   + 21a b x
+--R     17          8                       7            13
+--R   + 
+--R     210  6 4 11      7 3 10     8 2 9   5  9   8   1  10 7
+--R     --- a b x   + 12a b x   + 5a b x  + - a b x  + - a  x
+--R      11                                 4          7
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 503
+
+--S 504 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R             1    17
+--R          ------ a
+--R          136136
+--R   (4)  - ----------
+--R               7
+--R              b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 504
+
+--S 505 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 505
+
+)clear all
+
+--S 506 of 3330
+t0000:=x^5*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 15        9 14      2 8 13       3 7 12       4 6 11       5 5 10
+--R     b  x   + 10a b x   + 45a b x   + 120a b x   + 210a b x   + 252a b x
+--R   + 
+--R         6 4 9       7 3 8      8 2 7      9   6    10 5
+--R     210a b x  + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                                    Type: Polynomial(Integer)
+--E 506
+
+--S 507 of 3330
+r0000:=-1/11*a^5*(a+b*x)^11/b^6+5/12*a^4*(a+b*x)^12/b^6-_
+     10/13*a^3*(a+b*x)^13/b^6+5/7*a^2*(a+b*x)^14/b^6-1/3*a*(a+b*x)^15/b^6+_
+     1/16*(a+b*x)^16/b^6
+--R 
+--R
+--R   (2)
+--R        1  16 16   2    15 15   45  2 14 14   120  3 13 13   35  4 12 12
+--R       -- b  x   + - a b  x   + -- a b  x   + --- a b  x   + -- a b  x
+--R       16          3            14             13             2
+--R     + 
+--R       252  5 11 11      6 10 10   40  7 9 9   45  8 8 8   10  9 7 7   1  10 6 6
+--R       --- a b  x   + 21a b  x   + -- a b x  + -- a b x  + -- a b x  + - a  b x
+--R        11                          3           8           7          6
+--R     + 
+--R           1    16
+--R       - ----- a
+--R         48048
+--R  /
+--R      6
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 507
+
+--S 508 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 16   2    9 15   45  2 8 14   120  3 7 13   35  4 6 12   252  5 5 11
+--R     -- b  x   + - a b x   + -- a b x   + --- a b x   + -- a b x   + --- a b x
+--R     16          3           14            13            2            11
+--R   + 
+--R        6 4 10   40  7 3 9   45  8 2 8   10  9   7   1  10 6
+--R     21a b x   + -- a b x  + -- a b x  + -- a b x  + - a  x
+--R                  3           8           7          6
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 508
+
+--S 509 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R          1    16
+--R        ----- a
+--R        48048
+--R   (4)  ---------
+--R             6
+--R            b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 509
+
+--S 510 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 510
+
+)clear all
+
+--S 511 of 3330
+t0000:=x^4*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 14        9 13      2 8 12       3 7 11       4 6 10       5 5 9
+--R     b  x   + 10a b x   + 45a b x   + 120a b x   + 210a b x   + 252a b x
+--R   + 
+--R         6 4 8       7 3 7      8 2 6      9   5    10 4
+--R     210a b x  + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                                    Type: Polynomial(Integer)
+--E 511
+
+--S 512 of 3330
+r0000:=1/11*a^4*(a+b*x)^11/b^5-1/3*a^3*(a+b*x)^12/b^5+_
+     6/13*a^2*(a+b*x)^13/b^5-2/7*a*(a+b*x)^14/b^5+1/15*(a+b*x)^15/b^5
+--R 
+--R
+--R   (2)
+--R        1  15 15   5    14 14   45  2 13 13      3 12 12   210  4 11 11
+--R       -- b  x   + - a b  x   + -- a b  x   + 10a b  x   + --- a b  x
+--R       15          7            13                          11
+--R     + 
+--R       126  5 10 10   70  6 9 9      7 8 8   45  8 7 7   5  9 6 6   1  10 5 5
+--R       --- a b  x   + -- a b x  + 15a b x  + -- a b x  + - a b x  + - a  b x
+--R        5              3                      7          3          5
+--R     + 
+--R         1    15
+--R       ----- a
+--R       15015
+--R  /
+--R      5
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 512
+
+--S 513 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 15   5    9 14   45  2 8 13      3 7 12   210  4 6 11   126  5 5 10
+--R     -- b  x   + - a b x   + -- a b x   + 10a b x   + --- a b x   + --- a b x
+--R     15          7           13                        11            5
+--R   + 
+--R     70  6 4 9      7 3 8   45  8 2 7   5  9   6   1  10 5
+--R     -- a b x  + 15a b x  + -- a b x  + - a b x  + - a  x
+--R      3                      7          3          5
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 513
+
+--S 514 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            1    15
+--R          ----- a
+--R          15015
+--R   (4)  - ---------
+--R               5
+--R              b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 514
+
+--S 515 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 515
+
+)clear all
+
+--S 516 of 3330
+t0000:=x^3*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 13        9 12      2 8 11       3 7 10       4 6 9       5 5 8
+--R     b  x   + 10a b x   + 45a b x   + 120a b x   + 210a b x  + 252a b x
+--R   + 
+--R         6 4 7       7 3 6      8 2 5      9   4    10 3
+--R     210a b x  + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                                    Type: Polynomial(Integer)
+--E 516
+
+--S 517 of 3330
+r0000:=-1/11*a^3*(a+b*x)^11/b^4+1/4*a^2*(a+b*x)^12/b^4-_
+     3/13*a*(a+b*x)^13/b^4+1/14*(a+b*x)^14/b^4
+--R 
+--R
+--R   (2)
+--R        1  14 14   10    13 13   15  2 12 12   120  3 11 11      4 10 10
+--R       -- b  x   + -- a b  x   + -- a b  x   + --- a b  x   + 21a b  x
+--R       14          13             4             11
+--R     + 
+--R          5 9 9   105  6 8 8   120  7 7 7   15  8 6 6     9 5 5   1  10 4 4
+--R       28a b x  + --- a b x  + --- a b x  + -- a b x  + 2a b x  + - a  b x
+--R                   4            7            2                    4
+--R     + 
+--R           1   14
+--R       - ---- a
+--R         4004
+--R  /
+--R      4
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 517
+
+--S 518 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 14   10    9 13   15  2 8 12   120  3 7 11      4 6 10      5 5 9
+--R     -- b  x   + -- a b x   + -- a b x   + --- a b x   + 21a b x   + 28a b x
+--R     14          13            4            11
+--R   + 
+--R     105  6 4 8   120  7 3 7   15  8 2 6     9   5   1  10 4
+--R     --- a b x  + --- a b x  + -- a b x  + 2a b x  + - a  x
+--R      4            7            2                    4
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 518
+
+--S 519 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R          1   14
+--R        ---- a
+--R        4004
+--R   (4)  --------
+--R            4
+--R           b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 519
+
+--S 520 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 520
+
+)clear all
+
+--S 521 of 3330
+t0000:=x^2*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 12        9 11      2 8 10       3 7 9       4 6 8       5 5 7
+--R     b  x   + 10a b x   + 45a b x   + 120a b x  + 210a b x  + 252a b x
+--R   + 
+--R         6 4 6       7 3 5      8 2 4      9   3    10 2
+--R     210a b x  + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                                    Type: Polynomial(Integer)
+--E 521
+
+--S 522 of 3330
+r0000:=1/11*a^2*(a+b*x)^11/b^3-1/6*a*(a+b*x)^12/b^3+1/13*(a+b*x)^13/b^3
+--R 
+--R
+--R   (2)
+--R        1  13 13   5    12 12   45  2 11 11      3 10 10   70  4 9 9   63  5 8 8
+--R       -- b  x   + - a b  x   + -- a b  x   + 12a b  x   + -- a b x  + -- a b x
+--R       13          6            11                          3           2
+--R     + 
+--R          6 7 7      7 6 6     8 5 5   5  9 4 4   1  10 3 3    1   13
+--R       30a b x  + 20a b x  + 9a b x  + - a b x  + - a  b x  + --- a
+--R                                       2          3           858
+--R  /
+--R      3
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 522
+
+--S 523 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 13   5    9 12   45  2 8 11      3 7 10   70  4 6 9   63  5 5 8
+--R     -- b  x   + - a b x   + -- a b x   + 12a b x   + -- a b x  + -- a b x
+--R     13          6           11                        3           2
+--R   + 
+--R        6 4 7      7 3 6     8 2 5   5  9   4   1  10 3
+--R     30a b x  + 20a b x  + 9a b x  + - a b x  + - a  x
+--R                                     2          3
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 523
+
+--S 524 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R           1   13
+--R          --- a
+--R          858
+--R   (4)  - -------
+--R              3
+--R             b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 524
+
+--S 525 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 525
+
+)clear all
+
+--S 526 of 3330
+t0000:=x*(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 11        9 10      2 8 9       3 7 8       4 6 7       5 5 6
+--R     b  x   + 10a b x   + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R   + 
+--R         6 4 5       7 3 4      8 2 3      9   2    10
+--R     210a b x  + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                                    Type: Polynomial(Integer)
+--E 526
+
+--S 527 of 3330
+r0000:=-1/11*a*(a+b*x)^11/b^2+1/12*(a+b*x)^12/b^2
+--R 
+--R
+--R   (2)
+--R        1  12 12   10    11 11   9  2 10 10   40  3 9 9   105  4 8 8      5 7 7
+--R       -- b  x   + -- a b  x   + - a b  x   + -- a b x  + --- a b x  + 36a b x
+--R       12          11            2             3           4
+--R     + 
+--R          6 6 6      7 5 5   45  8 4 4   10  9 3 3   1  10 2 2    1   12
+--R       35a b x  + 24a b x  + -- a b x  + -- a b x  + - a  b x  - --- a
+--R                              4           3          2           132
+--R  /
+--R      2
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 527
+
+--S 528 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 12   10    9 11   9  2 8 10   40  3 7 9   105  4 6 8      5 5 7
+--R     -- b  x   + -- a b x   + - a b x   + -- a b x  + --- a b x  + 36a b x
+--R     12          11           2            3           4
+--R   + 
+--R        6 4 6      7 3 5   45  8 2 4   10  9   3   1  10 2
+--R     35a b x  + 24a b x  + -- a b x  + -- a b x  + - a  x
+--R                            4           3          2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 528
+
+--S 529 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R         1   12
+--R        --- a
+--R        132
+--R   (4)  -------
+--R            2
+--R           b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 529
+
+--S 530 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 530
+
+)clear all
+
+--S 531 of 3330
+t0000:=(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R     b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R   + 
+--R         6 4 4       7 3 3      8 2 2      9       10
+--R     210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                                    Type: Polynomial(Integer)
+--E 531
+
+--S 532 of 3330
+r0000:=1/11*(a+b*x)^11/b
+--R 
+--R
+--R   (2)
+--R        1  11 11      10 10     2 9 9      3 8 8      4 7 7      5 6 6
+--R       -- b  x   + a b  x   + 5a b x  + 15a b x  + 30a b x  + 42a b x
+--R       11
+--R     + 
+--R          6 5 5      7 4 4      8 3 3     9 2 2    10       1  11
+--R       42a b x  + 30a b x  + 15a b x  + 5a b x  + a  b x + -- a
+--R                                                           11
+--R  /
+--R     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 532
+
+--S 533 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      1  10 11      9 10     2 8 9      3 7 8      4 6 7      5 5 6      6 4 5
+--R     -- b  x   + a b x   + 5a b x  + 15a b x  + 30a b x  + 42a b x  + 42a b x
+--R     11
+--R   + 
+--R        7 3 4      8 2 3     9   2    10
+--R     30a b x  + 15a b x  + 5a b x  + a  x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 533
+
+--S 534 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R           1  11
+--R          -- a
+--R          11
+--R   (4)  - ------
+--R             b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 534
+
+--S 535 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 535
+
+)clear all
+
+--S 536 of 3330
+t0000:=(a+b*x)^10/x
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 536
+
+--S 537 of 3330
+r0000:=10*a^9*b*x+45/2*a^8*b^2*x^2+40*a^7*b^3*x^3+105/2*a^6*b^4*x^4+_
+     252/5*a^5*b^5*x^5+35*a^4*b^6*x^6+120/7*a^3*b^7*x^7+_
+     45/8*a^2*b^8*x^8+10/9*a*b^9*x^9+1/10*b^10*x^10+a^10*log(x)
+--R 
+--R
+--R   (2)
+--R            10             10 10          9 9         2 8 8         3 7 7
+--R       2520a  log(x) + 252b  x   + 2800a b x  + 14175a b x  + 43200a b x
+--R     + 
+--R             4 6 6          5 5 5          6 4 4          7 3 3         8 2 2
+--R       88200a b x  + 127008a b x  + 132300a b x  + 100800a b x  + 56700a b x
+--R     + 
+--R             9
+--R       25200a b x
+--R  /
+--R     2520
+--R                                                    Type: Expression(Integer)
+--E 537
+
+--S 538 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            10             10 10          9 9         2 8 8         3 7 7
+--R       2520a  log(x) + 252b  x   + 2800a b x  + 14175a b x  + 43200a b x
+--R     + 
+--R             4 6 6          5 5 5          6 4 4          7 3 3         8 2 2
+--R       88200a b x  + 127008a b x  + 132300a b x  + 100800a b x  + 56700a b x
+--R     + 
+--R             9
+--R       25200a b x
+--R  /
+--R     2520
+--R                                         Type: Union(Expression(Integer),...)
+--E 538
+
+--S 539 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 539
+
+--S 540 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 540
+
+)clear all
+
+--S 541 of 3330
+t0000:=(a+b*x)^10/x^2
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      2
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 541
+
+--S 542 of 3330
+r0000:=-a^10/x+45*a^8*b^2*x+60*a^7*b^3*x^2+70*a^6*b^4*x^3+63*a^5*b^5*x^4+_
+     42*a^4*b^6*x^5+20*a^3*b^7*x^6+45/7*a^2*b^8*x^7+5/4*a*b^9*x^8+_
+     1/9*b^10*x^9+10*a^9*b*log(x)
+--R 
+--R
+--R   (2)
+--R            9                10 10         9 9        2 8 8        3 7 7
+--R       2520a b x log(x) + 28b  x   + 315a b x  + 1620a b x  + 5040a b x
+--R     + 
+--R             4 6 6         5 5 5         6 4 4         7 3 3         8 2 2
+--R       10584a b x  + 15876a b x  + 17640a b x  + 15120a b x  + 11340a b x
+--R     + 
+--R             10
+--R       - 252a
+--R  /
+--R     252x
+--R                                                    Type: Expression(Integer)
+--E 542
+
+--S 543 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            9                10 10         9 9        2 8 8        3 7 7
+--R       2520a b x log(x) + 28b  x   + 315a b x  + 1620a b x  + 5040a b x
+--R     + 
+--R             4 6 6         5 5 5         6 4 4         7 3 3         8 2 2
+--R       10584a b x  + 15876a b x  + 17640a b x  + 15120a b x  + 11340a b x
+--R     + 
+--R             10
+--R       - 252a
+--R  /
+--R     252x
+--R                                         Type: Union(Expression(Integer),...)
+--E 543
+
+--S 544 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 544
+
+--S 545 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 545
+
+)clear all
+
+--S 546 of 3330
+t0000:=(a+b*x)^10/x^3
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      3
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 546
+
+--S 547 of 3330
+r0000:=-1/2*a^10/x^2-10*a^9*b/x+120*a^7*b^3*x+105*a^6*b^4*x^2+_
+     84*a^5*b^5*x^3+105/2*a^4*b^6*x^4+24*a^3*b^7*x^5+15/2*a^2*b^8*x^6+_
+     10/7*a*b^9*x^7+1/8*b^10*x^8+45*a^8*b^2*log(x)
+--R 
+--R
+--R   (2)
+--R            8 2 2           10 10        9 9       2 8 8        3 7 7
+--R       2520a b x log(x) + 7b  x   + 80a b x  + 420a b x  + 1344a b x
+--R     + 
+--R            4 6 6        5 5 5        6 4 4        7 3 3       9         10
+--R       2940a b x  + 4704a b x  + 5880a b x  + 6720a b x  - 560a b x - 28a
+--R  /
+--R        2
+--R     56x
+--R                                                    Type: Expression(Integer)
+--E 547
+
+--S 548 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            8 2 2           10 10        9 9       2 8 8        3 7 7
+--R       2520a b x log(x) + 7b  x   + 80a b x  + 420a b x  + 1344a b x
+--R     + 
+--R            4 6 6        5 5 5        6 4 4        7 3 3       9         10
+--R       2940a b x  + 4704a b x  + 5880a b x  + 6720a b x  - 560a b x - 28a
+--R  /
+--R        2
+--R     56x
+--R                                         Type: Union(Expression(Integer),...)
+--E 548
+
+--S 549 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 549
+
+--S 550 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 550
+
+)clear all
+
+--S 551 of 3330
+t0000:=(a+b*x)^10/x^4
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      4
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 551
+
+--S 552 of 3330
+r0000:=-1/3*a^10/x^3-5*a^9*b/x^2-45*a^8*b^2/x+210*a^6*b^4*x+_
+     126*a^5*b^5*x^2+70*a^4*b^6*x^3+30*a^3*b^7*x^4+9*a^2*b^8*x^5+_
+     5/3*a*b^9*x^6+1/7*b^10*x^7+120*a^7*b^3*log(x)
+--R 
+--R
+--R   (2)
+--R            7 3 3           10 10        9 9       2 8 8       3 7 7
+--R       2520a b x log(x) + 3b  x   + 35a b x  + 189a b x  + 630a b x
+--R     + 
+--R            4 6 6        5 5 5        6 4 4       8 2 2       9        10
+--R       1470a b x  + 2646a b x  + 4410a b x  - 945a b x  - 105a b x - 7a
+--R  /
+--R        3
+--R     21x
+--R                                                    Type: Expression(Integer)
+--E 552
+
+--S 553 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            7 3 3           10 10        9 9       2 8 8       3 7 7
+--R       2520a b x log(x) + 3b  x   + 35a b x  + 189a b x  + 630a b x
+--R     + 
+--R            4 6 6        5 5 5        6 4 4       8 2 2       9        10
+--R       1470a b x  + 2646a b x  + 4410a b x  - 945a b x  - 105a b x - 7a
+--R  /
+--R        3
+--R     21x
+--R                                         Type: Union(Expression(Integer),...)
+--E 553
+
+--S 554 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 554
+
+--S 555 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 555
+
+)clear all
+
+--S 556 of 3330
+t0000:=(a+b*x)^10/x^5
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      5
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 556
+
+--S 557 of 3330
+r0000:=-1/4*a^10/x^4-10/3*a^9*b/x^3-45/2*a^8*b^2/x^2-120*a^7*b^3/x+_
+     252*a^5*b^5*x+105*a^4*b^6*x^2+40*a^3*b^7*x^3+45/4*a^2*b^8*x^4+_
+     2*a*b^9*x^5+1/6*b^10*x^6+210*a^6*b^4*log(x)
+--R 
+--R
+--R   (2)
+--R            6 4 4           10 10        9 9       2 8 8       3 7 7
+--R       2520a b x log(x) + 2b  x   + 24a b x  + 135a b x  + 480a b x
+--R     + 
+--R            4 6 6        5 5 5        7 3 3       8 2 2      9        10
+--R       1260a b x  + 3024a b x  - 1440a b x  - 270a b x  - 40a b x - 3a
+--R  /
+--R        4
+--R     12x
+--R                                                    Type: Expression(Integer)
+--E 557
+
+--S 558 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            6 4 4           10 10        9 9       2 8 8       3 7 7
+--R       2520a b x log(x) + 2b  x   + 24a b x  + 135a b x  + 480a b x
+--R     + 
+--R            4 6 6        5 5 5        7 3 3       8 2 2      9        10
+--R       1260a b x  + 3024a b x  - 1440a b x  - 270a b x  - 40a b x - 3a
+--R  /
+--R        4
+--R     12x
+--R                                         Type: Union(Expression(Integer),...)
+--E 558
+
+--S 559 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 559
+
+--S 560 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 560
+
+)clear all
+
+--S 561 of 3330
+t0000:=(a+b*x)^10/x^6
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      6
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 561
+
+--S 562 of 3330
+r0000:=-1/5*a^10/x^5-5/2*a^9*b/x^4-15*a^8*b^2/x^3-60*a^7*b^3/x^2-_
+     210*a^6*b^4/x+210*a^4*b^6*x+60*a^3*b^7*x^2+15*a^2*b^8*x^3+_
+     5/2*a*b^9*x^4+1/5*b^10*x^5+252*a^5*b^5*log(x)
+--R 
+--R
+--R   (2)
+--R            5 5 5           10 10        9 9       2 8 8       3 7 7
+--R       2520a b x log(x) + 2b  x   + 25a b x  + 150a b x  + 600a b x
+--R     + 
+--R            4 6 6        6 4 4       7 3 3       8 2 2      9        10
+--R       2100a b x  - 2100a b x  - 600a b x  - 150a b x  - 25a b x - 2a
+--R  /
+--R        5
+--R     10x
+--R                                                    Type: Expression(Integer)
+--E 562
+
+--S 563 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            5 5 5           10 10        9 9       2 8 8       3 7 7
+--R       2520a b x log(x) + 2b  x   + 25a b x  + 150a b x  + 600a b x
+--R     + 
+--R            4 6 6        6 4 4       7 3 3       8 2 2      9        10
+--R       2100a b x  - 2100a b x  - 600a b x  - 150a b x  - 25a b x - 2a
+--R  /
+--R        5
+--R     10x
+--R                                         Type: Union(Expression(Integer),...)
+--E 563
+
+--S 564 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 564
+
+--S 565 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 565
+
+)clear all
+
+--S 566 of 3330
+t0000:=(a+b*x)^10/x^7
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      7
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 566
+
+--S 567 of 3330
+r0000:=-1/6*a^10/x^6-2*a^9*b/x^5-45/4*a^8*b^2/x^4-40*a^7*b^3/x^3-_
+     105*a^6*b^4/x^2-252*a^5*b^5/x+120*a^3*b^7*x+45/2*a^2*b^8*x^2+_
+     10/3*a*b^9*x^3+1/4*b^10*x^4+210*a^4*b^6*log(x)
+--R 
+--R
+--R   (2)
+--R            4 6 6           10 10        9 9       2 8 8        3 7 7
+--R       2520a b x log(x) + 3b  x   + 40a b x  + 270a b x  + 1440a b x
+--R     + 
+--R              5 5 5        6 4 4       7 3 3       8 2 2      9        10
+--R       - 3024a b x  - 1260a b x  - 480a b x  - 135a b x  - 24a b x - 2a
+--R  /
+--R        6
+--R     12x
+--R                                                    Type: Expression(Integer)
+--E 567
+
+--S 568 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            4 6 6           10 10        9 9       2 8 8        3 7 7
+--R       2520a b x log(x) + 3b  x   + 40a b x  + 270a b x  + 1440a b x
+--R     + 
+--R              5 5 5        6 4 4       7 3 3       8 2 2      9        10
+--R       - 3024a b x  - 1260a b x  - 480a b x  - 135a b x  - 24a b x - 2a
+--R  /
+--R        6
+--R     12x
+--R                                         Type: Union(Expression(Integer),...)
+--E 568
+
+--S 569 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 569
+
+--S 570 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 570
+
+)clear all
+
+--S 571 of 3330
+t0000:=(a+b*x)^10/x^8
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      8
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 571
+
+--S 572 of 3330
+r0000:=-1/7*a^10/x^7-5/3*a^9*b/x^6-9*a^8*b^2/x^5-30*a^7*b^3/x^4-_
+     70*a^6*b^4/x^3-126*a^5*b^5/x^2-210*a^4*b^6/x+45*a^2*b^8*x+_
+     5*a*b^9*x^2+1/3*b^10*x^3+120*a^3*b^7*log(x)
+--R 
+--R
+--R   (2)
+--R            3 7 7           10 10         9 9       2 8 8        4 6 6
+--R       2520a b x log(x) + 7b  x   + 105a b x  + 945a b x  - 4410a b x
+--R     + 
+--R              5 5 5        6 4 4       7 3 3       8 2 2      9        10
+--R       - 2646a b x  - 1470a b x  - 630a b x  - 189a b x  - 35a b x - 3a
+--R  /
+--R        7
+--R     21x
+--R                                                    Type: Expression(Integer)
+--E 572
+
+--S 573 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            3 7 7           10 10         9 9       2 8 8        4 6 6
+--R       2520a b x log(x) + 7b  x   + 105a b x  + 945a b x  - 4410a b x
+--R     + 
+--R              5 5 5        6 4 4       7 3 3       8 2 2      9        10
+--R       - 2646a b x  - 1470a b x  - 630a b x  - 189a b x  - 35a b x - 3a
+--R  /
+--R        7
+--R     21x
+--R                                         Type: Union(Expression(Integer),...)
+--E 573
+
+--S 574 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 574
+
+--S 575 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 575
+
+)clear all
+
+--S 576 of 3330
+t0000:=(a+b*x)^10/x^9
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      9
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 576
+
+--S 577 of 3330
+r0000:=-1/8*a^10/x^8-10/7*a^9*b/x^7-15/2*a^8*b^2/x^6-24*a^7*b^3/x^5-_
+     105/2*a^6*b^4/x^4-84*a^5*b^5/x^3-105*a^4*b^6/x^2-120*a^3*b^7/x+_
+     10*a*b^9*x+1/2*b^10*x^2+45*a^2*b^8*log(x)
+--R 
+--R
+--R   (2)
+--R            2 8 8            10 10         9 9        3 7 7        4 6 6
+--R       2520a b x log(x) + 28b  x   + 560a b x  - 6720a b x  - 5880a b x
+--R     + 
+--R              5 5 5        6 4 4        7 3 3       8 2 2      9        10
+--R       - 4704a b x  - 2940a b x  - 1344a b x  - 420a b x  - 80a b x - 7a
+--R  /
+--R        8
+--R     56x
+--R                                                    Type: Expression(Integer)
+--E 577
+
+--S 578 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            2 8 8            10 10         9 9        3 7 7        4 6 6
+--R       2520a b x log(x) + 28b  x   + 560a b x  - 6720a b x  - 5880a b x
+--R     + 
+--R              5 5 5        6 4 4        7 3 3       8 2 2      9        10
+--R       - 4704a b x  - 2940a b x  - 1344a b x  - 420a b x  - 80a b x - 7a
+--R  /
+--R        8
+--R     56x
+--R                                         Type: Union(Expression(Integer),...)
+--E 578
+
+--S 579 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 579
+
+--S 580 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 580
+
+)clear all
+
+--S 581 of 3330
+t0000:=(a+b*x)^10/x^10
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      10
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 581
+
+--S 582 of 3330
+r0000:=-1/9*a^10/x^9-5/4*a^9*b/x^8-45/7*a^8*b^2/x^7-20*a^7*b^3/x^6-_
+     42*a^6*b^4/x^5-63*a^5*b^5/x^4-70*a^4*b^6/x^3-60*a^3*b^7/x^2-_
+     45*a^2*b^8/x+b^10*x+10*a*b^9*log(x)
+--R 
+--R
+--R   (2)
+--R              9 9             10 10         2 8 8         3 7 7         4 6 6
+--R       2520a b x log(x) + 252b  x   - 11340a b x  - 15120a b x  - 17640a b x
+--R     + 
+--R               5 5 5         6 4 4        7 3 3        8 2 2       9         10
+--R       - 15876a b x  - 10584a b x  - 5040a b x  - 1620a b x  - 315a b x - 28a
+--R  /
+--R         9
+--R     252x
+--R                                                    Type: Expression(Integer)
+--E 582
+
+--S 583 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              9 9             10 10         2 8 8         3 7 7         4 6 6
+--R       2520a b x log(x) + 252b  x   - 11340a b x  - 15120a b x  - 17640a b x
+--R     + 
+--R               5 5 5         6 4 4        7 3 3        8 2 2       9         10
+--R       - 15876a b x  - 10584a b x  - 5040a b x  - 1620a b x  - 315a b x - 28a
+--R  /
+--R         9
+--R     252x
+--R                                         Type: Union(Expression(Integer),...)
+--E 583
+
+--S 584 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 584
+
+--S 585 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 585
+
+)clear all
+
+--S 586 of 3330
+t0000:=(a+b*x)^10/x^11
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      11
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 586
+
+--S 587 of 3330
+r0000:=-1/10*a^10/x^10-10/9*a^9*b/x^9-45/8*a^8*b^2/x^8-120/7*a^7*b^3/x^7-_
+     35*a^6*b^4/x^6-252/5*a^5*b^5/x^5-105/2*a^4*b^6/x^4-40*a^3*b^7/x^3-_
+     45/2*a^2*b^8/x^2-10*a*b^9/x+b^10*log(x)
+--R 
+--R
+--R   (2)
+--R            10 10                 9 9         2 8 8          3 7 7
+--R       2520b  x  log(x) - 25200a b x  - 56700a b x  - 100800a b x
+--R     + 
+--R                4 6 6          5 5 5         6 4 4         7 3 3         8 2 2
+--R       - 132300a b x  - 127008a b x  - 88200a b x  - 43200a b x  - 14175a b x
+--R     + 
+--R              9          10
+--R       - 2800a b x - 252a
+--R  /
+--R          10
+--R     2520x
+--R                                                    Type: Expression(Integer)
+--E 587
+
+--S 588 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            10 10                 9 9         2 8 8          3 7 7
+--R       2520b  x  log(x) - 25200a b x  - 56700a b x  - 100800a b x
+--R     + 
+--R                4 6 6          5 5 5         6 4 4         7 3 3         8 2 2
+--R       - 132300a b x  - 127008a b x  - 88200a b x  - 43200a b x  - 14175a b x
+--R     + 
+--R              9          10
+--R       - 2800a b x - 252a
+--R  /
+--R          10
+--R     2520x
+--R                                         Type: Union(Expression(Integer),...)
+--E 588
+
+--S 589 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 589
+
+--S 590 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 590
+
+)clear all
+
+--S 591 of 3330
+t0000:=(a+b*x)^10/x^12
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      12
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 591
+
+--S 592 of 3330
+r0000:=-1/11*(a+b*x)^11/(a*x^11)
+--R 
+--R
+--R   (2)
+--R          1  11 11      10 10     2 9 9      3 8 8      4 7 7      5 6 6
+--R       - -- b  x   - a b  x   - 5a b x  - 15a b x  - 30a b x  - 42a b x
+--R         11
+--R     + 
+--R            6 5 5      7 4 4      8 3 3     9 2 2    10       1  11
+--R       - 42a b x  - 30a b x  - 15a b x  - 5a b x  - a  b x - -- a
+--R                                                             11
+--R  /
+--R        11
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 592
+
+--S 593 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            10 10        9 9       2 8 8       3 7 7       4 6 6       5 5 5
+--R       - 11b  x   - 55a b x  - 165a b x  - 330a b x  - 462a b x  - 462a b x
+--R     + 
+--R             6 4 4       7 3 3      8 2 2      9       10
+--R       - 330a b x  - 165a b x  - 55a b x  - 11a b x - a
+--R  /
+--R        11
+--R     11x
+--R                                         Type: Union(Expression(Integer),...)
+--E 593
+
+--S 594 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R         11
+--R        b
+--R   (4)  ---
+--R        11a
+--R                                                    Type: Expression(Integer)
+--E 594
+
+--S 595 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 595
+
+)clear all
+
+--S 596 of 3330
+t0000:=(a+b*x)^10/x^13
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      13
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 596
+
+--S 597 of 3330
+r0000:=-1/12*(a+b*x)^11/(a*x^12)+1/132*b*(a+b*x)^11/(a^2*x^11)
+--R 
+--R
+--R   (2)
+--R        1   12 12   1  2 10 10   10  3 9 9   45  4 8 8      5 7 7      6 6 6
+--R       --- b  x   - - a b  x   - -- a b x  - -- a b x  - 24a b x  - 35a b x
+--R       132          2             3           4
+--R     + 
+--R            7 5 5   105  8 4 4   40  9 3 3   9  10 2 2   10  11       1  12
+--R       - 36a b x  - --- a b x  - -- a b x  - - a  b x  - -- a  b x - -- a
+--R                     4            3          2           11          12
+--R  /
+--R      2 12
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 597
+
+--S 598 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            10 10         9 9        2 8 8        3 7 7        4 6 6
+--R       - 66b  x   - 440a b x  - 1485a b x  - 3168a b x  - 4620a b x
+--R     + 
+--R              5 5 5        6 4 4        7 3 3       8 2 2       9         10
+--R       - 4752a b x  - 3465a b x  - 1760a b x  - 594a b x  - 120a b x - 11a
+--R  /
+--R         12
+--R     132x
+--R                                         Type: Union(Expression(Integer),...)
+--E 598
+
+--S 599 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            12
+--R           b
+--R   (4)  - -----
+--R              2
+--R          132a
+--R                                                    Type: Expression(Integer)
+--E 599
+
+--S 600 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 600
+
+)clear all
+
+--S 601 of 3330
+t0000:=(a+b*x)^10/x^14
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      14
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 601
+
+--S 602 of 3330
+r0000:=-1/13*(a+b*x)^11/(a*x^13)+1/78*b*(a+b*x)^11/(a^2*x^12)-_
+     1/858*b^2*(a+b*x)^11/(a^3*x^11)
+--R 
+--R
+--R   (2)
+--R          1   13 13   1  3 10 10   5  4 9 9     5 8 8      6 7 7      7 6 6
+--R       - --- b  x   - - a b  x   - - a b x  - 9a b x  - 20a b x  - 30a b x
+--R         858          3            2
+--R     + 
+--R         63  8 5 5   70  9 4 4      10 3 3   45  11 2 2   5  12       1  13
+--R       - -- a b x  - -- a b x  - 12a  b x  - -- a  b x  - - a  b x - -- a
+--R          2           3                      11           6          13
+--R  /
+--R      3 13
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 602
+
+--S 603 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             10 10          9 9        2 8 8         3 7 7         4 6 6
+--R       - 286b  x   - 2145a b x  - 7722a b x  - 17160a b x  - 25740a b x
+--R     + 
+--R             5 5 5         6 4 4         7 3 3        8 2 2       9         10
+--R     - 27027a b x  - 20020a b x  - 10296a b x  - 3510a b x  - 715a b x - 66a
+--R  /
+--R         13
+--R     858x
+--R                                         Type: Union(Expression(Integer),...)
+--E 603
+
+--S 604 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R          13
+--R         b
+--R   (4)  -----
+--R            3
+--R        858a
+--R                                                    Type: Expression(Integer)
+--E 604
+
+--S 605 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 605
+
+)clear all
+
+--S 606 of 3330
+t0000:=(a+b*x)^10/x^15
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      15
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 606
+
+--S 607 of 3330
+r0000:=-1/14*(a+b*x)^11/(a*x^14)+3/182*b*(a+b*x)^11/(a^2*x^13)-_
+     1/364*b^2*(a+b*x)^11/(a^3*x^12)+1/4004*b^3*(a+b*x)^11/(a^4*x^11)
+--R 
+--R
+--R   (2)
+--R         1   14 14   1  4 10 10     5 9 9   15  6 8 8   120  7 7 7   105  8 6 6
+--R       ---- b  x   - - a b  x   - 2a b x  - -- a b x  - --- a b x  - --- a b x
+--R       4004          4                       2           7            4
+--R     + 
+--R            9 5 5      10 4 4   120  11 3 3   15  12 2 2   10  13       1  14
+--R       - 28a b x  - 21a  b x  - --- a  b x  - -- a  b x  - -- a  b x - -- a
+--R                                 11            4           13          14
+--R  /
+--R      4 14
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 607
+
+--S 608 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              10 10          9 9         2 8 8         3 7 7          4 6 6
+--R       - 1001b  x   - 8008a b x  - 30030a b x  - 68640a b x  - 105105a b x
+--R     + 
+--R                5 5 5         6 4 4         7 3 3         8 2 2        9
+--R       - 112112a b x  - 84084a b x  - 43680a b x  - 15015a b x  - 3080a b x
+--R     + 
+--R             10
+--R       - 286a
+--R  /
+--R          14
+--R     4004x
+--R                                         Type: Union(Expression(Integer),...)
+--E 608
+
+--S 609 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R             14
+--R            b
+--R   (4)  - ------
+--R               4
+--R          4004a
+--R                                                    Type: Expression(Integer)
+--E 609
+
+--S 610 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 610
+
+)clear all
+
+--S 611 of 3330
+t0000:=(a+b*x)^10/x^16
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      16
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 611
+
+--S 612 of 3330
+r0000:=-1/15*(a+b*x)^11/(a*x^15)+2/105*b*(a+b*x)^11/(a^2*x^14)-_
+     2/455*b^2*(a+b*x)^11/(a^3*x^13)+1/1365*b^3*(a+b*x)^11/(a^4*x^12)-_
+     1/15015*b^4*(a+b*x)^11/(a^5*x^11)
+--R 
+--R
+--R   (2)
+--R           1    15 15   1  5 10 10   5  6 9 9   45  7 8 8      8 7 7   70  9 6 6
+--R       - ----- b  x   - - a b  x   - - a b x  - -- a b x  - 15a b x  - -- a b x
+--R         15015          5            3           7                      3
+--R     + 
+--R         126  10 5 5   210  11 4 4      12 3 3   45  13 2 2   5  14       1  15
+--R       - --- a  b x  - --- a  b x  - 10a  b x  - -- a  b x  - - a  b x - -- a
+--R          5             11                       13           7          15
+--R  /
+--R      5 15
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 612
+
+--S 613 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              10 10           9 9         2 8 8          3 7 7          4 6 6
+--R       - 3003b  x   - 25025a b x  - 96525a b x  - 225225a b x  - 350350a b x
+--R     + 
+--R                5 5 5          6 4 4          7 3 3         8 2 2         9
+--R       - 378378a b x  - 286650a b x  - 150150a b x  - 51975a b x  - 10725a b x
+--R     + 
+--R              10
+--R       - 1001a
+--R  /
+--R           15
+--R     15015x
+--R                                         Type: Union(Expression(Integer),...)
+--E 613
+
+--S 614 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R           15
+--R          b
+--R   (4)  -------
+--R              5
+--R        15015a
+--R                                                    Type: Expression(Integer)
+--E 614
+
+--S 615 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 615
+
+)clear all
+
+--S 616 of 3330
+t0000:=(a+b*x)^10/x^17
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      17
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 616
+
+--S 617 of 3330
+r0000:=-1/16*(a+b*x)^11/(a*x^16)+1/48*b*(a+b*x)^11/(a^2*x^15)-_
+     1/168*b^2*(a+b*x)^11/(a^3*x^14)+1/728*b^3*(a+b*x)^11/(a^4*x^13)-_
+     1/4368*b^4*(a+b*x)^11/(a^5*x^12)+1/48048*b^5*(a+b*x)^11/(a^6*x^11)
+--R 
+--R
+--R   (2)
+--R         1    16 16   1  6 10 10   10  7 9 9   45  8 8 8   40  9 7 7      10 6 6
+--R       ----- b  x   - - a b  x   - -- a b x  - -- a b x  - -- a b x  - 21a  b x
+--R       48048          6             7           8           3
+--R     + 
+--R       252  11 5 5   35  12 4 4   120  13 3 3   45  14 2 2   2  15       1  16
+--R     - --- a  b x  - -- a  b x  - --- a  b x  - -- a  b x  - - a  b x - -- a
+--R        11            2            13           14           3          16
+--R  /
+--R      6 16
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 617
+
+--S 618 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              10 10           9 9          2 8 8          3 7 7           4 6 6
+--R       - 8008b  x   - 68640a b x  - 270270a b x  - 640640a b x  - 1009008a b x
+--R     + 
+--R                 5 5 5          6 4 4          7 3 3          8 2 2         9
+--R       - 1100736a b x  - 840840a b x  - 443520a b x  - 154440a b x  - 32032a b x
+--R     + 
+--R              10
+--R       - 3003a
+--R  /
+--R           16
+--R     48048x
+--R                                         Type: Union(Expression(Integer),...)
+--E 618
+
+--S 619 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R             16
+--R            b
+--R   (4)  - -------
+--R                6
+--R          48048a
+--R                                                    Type: Expression(Integer)
+--E 619
+
+--S 620 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 620
+
+)clear all
+
+--S 621 of 3330
+t0000:=(a+b*x)^10/x^18
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      18
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 621
+
+--S 622 of 3330
+r0000:=-1/17*a^10/x^17-5/8*a^9*b/x^16-3*a^8*b^2/x^15-60/7*a^7*b^3/x^14-_
+     210/13*a^6*b^4/x^13-21*a^5*b^5/x^12-210/11*a^4*b^6/x^11-_
+     12*a^3*b^7/x^10-5*a^2*b^8/x^9-5/4*a*b^9/x^8-1/7*b^10/x^7
+--R 
+--R
+--R   (2)
+--R         1  10 10   5    9 9     2 8 8      3 7 7   210  4 6 6      5 5 5
+--R       - - b  x   - - a b x  - 5a b x  - 12a b x  - --- a b x  - 21a b x
+--R         7          4                                11
+--R     + 
+--R         210  6 4 4   60  7 3 3     8 2 2   5  9       1  10
+--R       - --- a b x  - -- a b x  - 3a b x  - - a b x - -- a
+--R          13           7                    8         17
+--R  /
+--R      17
+--R     x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 622
+
+--S 623 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               10 10            9 9          2 8 8           3 7 7
+--R       - 19448b  x   - 170170a b x  - 680680a b x  - 1633632a b x
+--R     + 
+--R                 4 6 6           5 5 5           6 4 4           7 3 3
+--R       - 2598960a b x  - 2858856a b x  - 2199120a b x  - 1166880a b x
+--R     + 
+--R                8 2 2         9           10
+--R       - 408408a b x  - 85085a b x - 8008a
+--R  /
+--R            17
+--R     136136x
+--R                                         Type: Union(Expression(Integer),...)
+--E 623
+
+--S 624 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 624
+
+--S 625 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 625
+
+)clear all
+
+--S 626 of 3330
+t0000:=(a+b*x)^10/x^19
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      19
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 626
+
+--S 627 of 3330
+r0000:=-1/18*a^10/x^18-10/17*a^9*b/x^17-45/16*a^8*b^2/x^16-8*a^7*b^3/x^15-_
+     15*a^6*b^4/x^14-252/13*a^5*b^5/x^13-35/2*a^4*b^6/x^12-_
+     120/11*a^3*b^7/x^11-9/2*a^2*b^8/x^10-10/9*a*b^9/x^9-1/8*b^10/x^8
+--R 
+--R
+--R   (2)
+--R         1  10 10   10    9 9   9  2 8 8   120  3 7 7   35  4 6 6   252  5 5 5
+--R       - - b  x   - -- a b x  - - a b x  - --- a b x  - -- a b x  - --- a b x
+--R         8           9          2           11           2           13
+--R     + 
+--R            6 4 4     7 3 3   45  8 2 2   10  9       1  10
+--R       - 15a b x  - 8a b x  - -- a b x  - -- a b x - -- a
+--R                              16          17         18
+--R  /
+--R      18
+--R     x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 627
+
+--S 628 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               10 10            9 9           2 8 8           3 7 7
+--R       - 43758b  x   - 388960a b x  - 1575288a b x  - 3818880a b x
+--R     + 
+--R                 4 6 6           5 5 5           6 4 4           7 3 3
+--R       - 6126120a b x  - 6785856a b x  - 5250960a b x  - 2800512a b x
+--R     + 
+--R                8 2 2          9            10
+--R       - 984555a b x  - 205920a b x - 19448a
+--R  /
+--R            18
+--R     350064x
+--R                                         Type: Union(Expression(Integer),...)
+--E 628
+
+--S 629 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 629
+
+--S 630 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 630
+
+)clear all
+
+--S 631 of 3330
+t0000:=(a+b*x)^10/x^20
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      20
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 631
+
+--S 632 of 3330
+r0000:=-1/19*a^10/x^19-5/9*a^9*b/x^18-45/17*a^8*b^2/x^17-15/2*a^7*b^3/x^16-_
+     14*a^6*b^4/x^15-18*a^5*b^5/x^14-210/13*a^4*b^6/x^13-_
+     10*a^3*b^7/x^12-45/11*a^2*b^8/x^11-a*b^9/x^10-1/9*b^10/x^9
+--R 
+--R
+--R   (2)
+--R         1  10 10      9 9   45  2 8 8      3 7 7   210  4 6 6      5 5 5
+--R       - - b  x   - a b x  - -- a b x  - 10a b x  - --- a b x  - 18a b x
+--R         9                   11                      13
+--R     + 
+--R            6 4 4   15  7 3 3   45  8 2 2   5  9       1  10
+--R       - 14a b x  - -- a b x  - -- a b x  - - a b x - -- a
+--R                     2          17          9         19
+--R  /
+--R      19
+--R     x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 632
+
+--S 633 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               10 10            9 9           2 8 8           3 7 7
+--R       - 92378b  x   - 831402a b x  - 3401190a b x  - 8314020a b x
+--R     + 
+--R                  4 6 6            5 5 5            6 4 4           7 3 3
+--R       - 13430340a b x  - 14965236a b x  - 11639628a b x  - 6235515a b x
+--R     + 
+--R                 8 2 2          9            10
+--R       - 2200770a b x  - 461890a b x - 43758a
+--R  /
+--R            19
+--R     831402x
+--R                                         Type: Union(Expression(Integer),...)
+--E 633
+
+--S 634 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 634
+
+--S 635 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 635
+
+)clear all
+
+--S 636 of 3330
+t0000:=c*(a+b*x)
+--R 
+--R
+--R   (1)  b c x + a c
+--R                                                    Type: Polynomial(Integer)
+--E 636
+
+--S 637 of 3330
+r0000:=1/2*c*(a+b*x)^2/b
+--R 
+--R
+--R        1  2   2             1  2
+--R        - b c x  + a b c x + - a c
+--R        2                    2
+--R   (2)  --------------------------
+--R                     b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 637
+
+--S 638 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        1      2
+--R   (3)  - b c x  + a c x
+--R        2
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 638
+
+--S 639 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R          1  2
+--R          - a c
+--R          2
+--R   (4)  - -----
+--R            b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 639
+
+--S 640 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 640
+
+)clear all
+
+--S 641 of 3330
+t0000:=(c+d)*(a+b*x)/e
+--R 
+--R
+--R        (b d + b c)x + a d + a c
+--R   (1)  ------------------------
+--R                    e
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 641
+
+--S 642 of 3330
+r0000:=1/2*(c+d)*(a+b*x)^2/(b*e)
+--R 
+--R
+--R         1  2    1  2   2                      1  2    1  2
+--R        (- b d + - b c)x  + (a b d + a b c)x + - a d + - a c
+--R         2       2                             2       2
+--R   (2)  ----------------------------------------------------
+--R                                 b e
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 642
+
+--S 643 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                    2
+--R        (b d + b c)x  + (2a d + 2a c)x
+--R   (3)  ------------------------------
+--R                      2e
+--R                                         Type: Union(Expression(Integer),...)
+--E 643
+
+--S 644 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R           2     2
+--R        - a d - a c
+--R   (4)  -----------
+--R            2b e
+--R                                                    Type: Expression(Integer)
+--E 644
+
+--S 645 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 645
+
+)clear all
+
+--S 646 of 3330
+t0000:=x^m/(a+b*x)
+--R 
+--R
+--R            m
+--R           x
+--R   (1)  -------
+--R        b x + a
+--R                                                    Type: Expression(Integer)
+--E 646
+
+--S 647 of 3330
+--r0000:=x^(1+m)*hypergeometric(1,1+m,2+m,-b*x/a)/(a*(1+m))
+--E 647
+
+--S 648 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x      m
+--R         ++     %N
+--R   (2)   |   -------- d%N
+--R        ++   %N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 648
+
+--S 649 of 3330
+--m0000:=a0000 - r0000
+--E 649
+
+--S 650 of 3330
+--d0000:=D(m0000,x)
+--E 650
+
+)clear all
+
+--S 651 of 3330
+t0000:=x^5/(a+b*x)
+--R 
+--R
+--R            5
+--R           x
+--R   (1)  -------
+--R        b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 651
+
+--S 652 of 3330
+r0000:=a^4*x/b^5-1/2*a^3*x^2/b^4+1/3*a^2*x^3/b^3-1/4*a*x^4/b^2+1/5*x^5/b-_
+     a^5*log(a+b*x)/b^6
+--R 
+--R
+--R             5                  5 5        4 4      2 3 3      3 2 2      4
+--R        - 60a log(b x + a) + 12b x  - 15a b x  + 20a b x  - 30a b x  + 60a b x
+--R   (2)  ----------------------------------------------------------------------
+--R                                            6
+--R                                         60b
+--R                                                    Type: Expression(Integer)
+--E 652
+
+--S 653 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             5                  5 5        4 4      2 3 3      3 2 2      4
+--R        - 60a log(b x + a) + 12b x  - 15a b x  + 20a b x  - 30a b x  + 60a b x
+--R   (3)  ----------------------------------------------------------------------
+--R                                            6
+--R                                         60b
+--R                                         Type: Union(Expression(Integer),...)
+--E 653
+
+--S 654 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 654
+
+--S 655 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 655
+
+)clear all
+
+--S 656 of 3330
+t0000:=x^4/(a+b*x)
+--R 
+--R
+--R            4
+--R           x
+--R   (1)  -------
+--R        b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 656
+
+--S 657 of 3330
+r0000:=-a^3*x/b^4+1/2*a^2*x^2/b^3-1/3*a*x^3/b^2+1/4*x^4/b+a^4*log(a+b*x)/b^5
+--R 
+--R
+--R           4                 4 4       3 3     2 2 2      3
+--R        12a log(b x + a) + 3b x  - 4a b x  + 6a b x  - 12a b x
+--R   (2)  ------------------------------------------------------
+--R                                    5
+--R                                 12b
+--R                                                    Type: Expression(Integer)
+--E 657
+
+--S 658 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           4                 4 4       3 3     2 2 2      3
+--R        12a log(b x + a) + 3b x  - 4a b x  + 6a b x  - 12a b x
+--R   (3)  ------------------------------------------------------
+--R                                    5
+--R                                 12b
+--R                                         Type: Union(Expression(Integer),...)
+--E 658
+
+--S 659 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 659
+
+--S 660 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 660
+
+)clear all
+
+--S 661 of 3330
+t0000:=x^3/(a+b*x)
+--R 
+--R
+--R            3
+--R           x
+--R   (1)  -------
+--R        b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 661
+
+--S 662 of 3330
+r0000:=a^2*x/b^3-1/2*a*x^2/b^2+1/3*x^3/b-a^3*log(a+b*x)/b^4
+--R 
+--R
+--R            3                 3 3       2 2     2
+--R        - 6a log(b x + a) + 2b x  - 3a b x  + 6a b x
+--R   (2)  --------------------------------------------
+--R                               4
+--R                             6b
+--R                                                    Type: Expression(Integer)
+--E 662
+
+--S 663 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3                 3 3       2 2     2
+--R        - 6a log(b x + a) + 2b x  - 3a b x  + 6a b x
+--R   (3)  --------------------------------------------
+--R                               4
+--R                             6b
+--R                                         Type: Union(Expression(Integer),...)
+--E 663
+
+--S 664 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 664
+
+--S 665 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 665
+
+)clear all
+
+--S 666 of 3330
+t0000:=x^2/(a+b*x)
+--R 
+--R
+--R            2
+--R           x
+--R   (1)  -------
+--R        b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 666
+
+--S 667 of 3330
+r0000:=-a*x/b^2+1/2*x^2/b+a^2*log(a+b*x)/b^3
+--R 
+--R
+--R          2                2 2
+--R        2a log(b x + a) + b x  - 2a b x
+--R   (2)  -------------------------------
+--R                        3
+--R                      2b
+--R                                                    Type: Expression(Integer)
+--E 667
+
+--S 668 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2                2 2
+--R        2a log(b x + a) + b x  - 2a b x
+--R   (3)  -------------------------------
+--R                        3
+--R                      2b
+--R                                         Type: Union(Expression(Integer),...)
+--E 668
+
+--S 669 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 669
+
+--S 670 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 670
+
+)clear all
+
+--S 671 of 3330
+t0000:=x/(a+b*x)
+--R 
+--R
+--R           x
+--R   (1)  -------
+--R        b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 671
+
+--S 672 of 3330
+r0000:=x/b-a*log(a+b*x)/b^2
+--R 
+--R
+--R        - a log(b x + a) + b x
+--R   (2)  ----------------------
+--R                   2
+--R                  b
+--R                                                    Type: Expression(Integer)
+--E 672
+
+--S 673 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        - a log(b x + a) + b x
+--R   (3)  ----------------------
+--R                   2
+--R                  b
+--R                                         Type: Union(Expression(Integer),...)
+--E 673
+
+--S 674 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 674
+
+--S 675 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 675
+
+)clear all
+
+--S 676 of 3330
+t0000:=1/(a+b*x)
+--R 
+--R
+--R           1
+--R   (1)  -------
+--R        b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 676
+
+--S 677 of 3330
+r0000:=log(a+b*x)/b
+--R 
+--R
+--R        log(b x + a)
+--R   (2)  ------------
+--R              b
+--R                                                    Type: Expression(Integer)
+--E 677
+
+--S 678 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        log(b x + a)
+--R   (3)  ------------
+--R              b
+--R                                         Type: Union(Expression(Integer),...)
+--E 678
+
+--S 679 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 679
+
+--S 680 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 680
+
+)clear all
+
+--S 681 of 3330
+t0000:=1/(x*(a+b*x))
+--R 
+--R
+--R             1
+--R   (1)  ----------
+--R           2
+--R        b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 681
+
+--S 682 of 3330
+r0000:=log(x)/a-log(a+b*x)/a
+--R 
+--R
+--R        - log(b x + a) + log(x)
+--R   (2)  -----------------------
+--R                   a
+--R                                                    Type: Expression(Integer)
+--E 682
+
+--S 683 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        - log(b x + a) + log(x)
+--R   (3)  -----------------------
+--R                   a
+--R                                         Type: Union(Expression(Integer),...)
+--E 683
+
+--S 684 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 684
+
+--S 685 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 685
+
+)clear all
+
+--S 686 of 3330
+t0000:=1/(x^2*(a+b*x))
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R           3      2
+--R        b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 686
+
+--S 687 of 3330
+r0000:=(-1)/(a*x)-b*log(x)/a^2+b*log(a+b*x)/a^2
+--R 
+--R
+--R        b x log(b x + a) - b x log(x) - a
+--R   (2)  ---------------------------------
+--R                        2
+--R                       a x
+--R                                                    Type: Expression(Integer)
+--E 687
+
+--S 688 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        b x log(b x + a) - b x log(x) - a
+--R   (3)  ---------------------------------
+--R                        2
+--R                       a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 688
+
+--S 689 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 689
+
+--S 690 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 690
+
+)clear all
+
+--S 691 of 3330
+t0000:=1/(x^3*(a+b*x))
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R           4      3
+--R        b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 691
+
+--S 692 of 3330
+r0000:=(-1/2)/(a*x^2)+b/(a^2*x)+b^2*log(x)/a^3-b^2*log(a+b*x)/a^3
+--R 
+--R
+--R            2 2                 2 2                   2
+--R        - 2b x log(b x + a) + 2b x log(x) + 2a b x - a
+--R   (2)  -----------------------------------------------
+--R                               3 2
+--R                             2a x
+--R                                                    Type: Expression(Integer)
+--E 692
+
+--S 693 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 2                 2 2                   2
+--R        - 2b x log(b x + a) + 2b x log(x) + 2a b x - a
+--R   (3)  -----------------------------------------------
+--R                               3 2
+--R                             2a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 693
+
+--S 694 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 694
+
+--S 695 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 695
+
+)clear all
+
+--S 696 of 3330
+t0000:=1/(x^4*(a+b*x))
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R           5      4
+--R        b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 696
+
+--S 697 of 3330
+r0000:=(-1/3)/(a*x^3)+1/2*b/(a^2*x^2)-b^2/(a^3*x)-_
+     b^3*log(x)/a^4+b^3*log(a+b*x)/a^4
+--R 
+--R
+--R          3 3                 3 3             2 2     2        3
+--R        6b x log(b x + a) - 6b x log(x) - 6a b x  + 3a b x - 2a
+--R   (2)  --------------------------------------------------------
+--R                                    4 3
+--R                                  6a x
+--R                                                    Type: Expression(Integer)
+--E 697
+
+--S 698 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3 3                 3 3             2 2     2        3
+--R        6b x log(b x + a) - 6b x log(x) - 6a b x  + 3a b x - 2a
+--R   (3)  --------------------------------------------------------
+--R                                    4 3
+--R                                  6a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 698
+
+--S 699 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 699
+
+--S 700 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 700
+
+)clear all
+
+--S 701 of 3330
+t0000:=1/(x^5*(a+b*x))
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R           6      5
+--R        b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 701
+
+--S 702 of 3330
+r0000:=(-1/4)/(a*x^4)+1/3*b/(a^2*x^3)-1/2*b^2/(a^3*x^2)+b^3/(a^4*x)+_
+     b^4*log(x)/a^5-b^4*log(a+b*x)/a^5
+--R 
+--R
+--R   (2)
+--R        4 4                  4 4              3 3     2 2 2     3        4
+--R   - 12b x log(b x + a) + 12b x log(x) + 12a b x  - 6a b x  + 4a b x - 3a
+--R   -----------------------------------------------------------------------
+--R                                       5 4
+--R                                    12a x
+--R                                                    Type: Expression(Integer)
+--E 702
+
+--S 703 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R        4 4                  4 4              3 3     2 2 2     3        4
+--R   - 12b x log(b x + a) + 12b x log(x) + 12a b x  - 6a b x  + 4a b x - 3a
+--R   -----------------------------------------------------------------------
+--R                                       5 4
+--R                                    12a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 703
+
+--S 704 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 704
+
+--S 705 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 705
+
+)clear all
+
+--S 706 of 3330
+t0000:=x^m/(a+b*x)^2
+--R 
+--R
+--R                 m
+--R                x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 706
+
+--S 707 of 3330
+--r0000:=x^(1+m)/(a*(a+b*x))-m*x^(1+m)*_
+--       hypergeometric(1,1+m,2+m,-b*x/a)/(a^2*(1+m))
+--E 707
+
+--S 708 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x            m
+--R         ++           %N
+--R   (2)   |   -------------------- d%N
+--R        ++     2 2              2
+--R             %N b  + 2%N a b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 708
+
+--S 709 of 3330
+--m0000:=a0000 - r0000
+--E 709
+
+--S 710 of 3330
+--d0000:=D(m0000,x)
+--E 710
+
+)clear all
+
+--S 711 of 3330
+t0000:=x^6/(a+b*x)^2
+--R 
+--R
+--R                 6
+--R                x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 711
+
+--S 712 of 3330
+r0000:=5*a^4*x/b^6-2*a^3*x^2/b^5+a^2*x^3/b^4-1/2*a*x^4/b^3+1/5*x^5/b^2-_
+     a^6/(b^7*(a+b*x))-6*a^5*log(a+b*x)/b^7
+--R 
+--R
+--R   (2)
+--R             5         6                  6 6       5 5     2 4 4      3 3 3
+--R       (- 60a b x - 60a )log(b x + a) + 2b x  - 3a b x  + 5a b x  - 10a b x
+--R     + 
+--R          4 2 2      5         6
+--R       30a b x  + 50a b x - 10a
+--R  /
+--R        8         7
+--R     10b x + 10a b
+--R                                                    Type: Expression(Integer)
+--E 712
+
+--S 713 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             5         6                  6 6       5 5     2 4 4      3 3 3
+--R       (- 60a b x - 60a )log(b x + a) + 2b x  - 3a b x  + 5a b x  - 10a b x
+--R     + 
+--R          4 2 2      5         6
+--R       30a b x  + 50a b x - 10a
+--R  /
+--R        8         7
+--R     10b x + 10a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 713
+
+--S 714 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 714
+
+--S 715 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 715
+
+)clear all
+
+--S 716 of 3330
+t0000:=x^5/(a+b*x)^2
+--R 
+--R
+--R                 5
+--R                x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 716
+
+--S 717 of 3330
+r0000:=-4*a^3*x/b^5+3/2*a^2*x^2/b^4-2/3*a*x^3/b^3+1/4*x^4/b^2+_
+     a^5/(b^6*(a+b*x))+5*a^4*log(a+b*x)/b^6
+--R 
+--R
+--R   (2)
+--R           4         5                  5 5       4 4      2 3 3      3 2 2
+--R       (60a b x + 60a )log(b x + a) + 3b x  - 5a b x  + 10a b x  - 30a b x
+--R     + 
+--R            4         5
+--R       - 48a b x + 12a
+--R  /
+--R        7         6
+--R     12b x + 12a b
+--R                                                    Type: Expression(Integer)
+--E 717
+
+--S 718 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           4         5                  5 5       4 4      2 3 3      3 2 2
+--R       (60a b x + 60a )log(b x + a) + 3b x  - 5a b x  + 10a b x  - 30a b x
+--R     + 
+--R            4         5
+--R       - 48a b x + 12a
+--R  /
+--R        7         6
+--R     12b x + 12a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 718
+
+--S 719 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 719
+
+--S 720 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 720
+
+)clear all
+
+--S 721 of 3330
+t0000:=x^4/(a+b*x)^2
+--R 
+--R
+--R                 4
+--R                x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 721
+
+--S 722 of 3330
+r0000:=3*a^2*x/b^4-a*x^2/b^3+1/3*x^3/b^2-a^4/(b^5*(a+b*x))-4*a^3*log(a+b*x)/b^5
+--R 
+--R
+--R   (2)
+--R         3         4                 4 4       3 3     2 2 2     3        4
+--R   (- 12a b x - 12a )log(b x + a) + b x  - 2a b x  + 6a b x  + 9a b x - 3a
+--R   ------------------------------------------------------------------------
+--R                                   6        5
+--R                                 3b x + 3a b
+--R                                                    Type: Expression(Integer)
+--E 722
+
+--S 723 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R         3         4                 4 4       3 3     2 2 2     3        4
+--R   (- 12a b x - 12a )log(b x + a) + b x  - 2a b x  + 6a b x  + 9a b x - 3a
+--R   ------------------------------------------------------------------------
+--R                                   6        5
+--R                                 3b x + 3a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 723
+
+--S 724 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 724
+
+--S 725 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 725
+
+)clear all
+
+--S 726 of 3330
+t0000:=x^3/(a+b*x)^2
+--R 
+--R
+--R                 3
+--R                x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 726
+
+--S 727 of 3330
+r0000:=-2*a*x/b^3+1/2*x^2/b^2+a^3/(b^4*(a+b*x))+3*a^2*log(a+b*x)/b^4
+--R 
+--R
+--R           2        3                 3 3       2 2     2        3
+--R        (6a b x + 6a )log(b x + a) + b x  - 3a b x  - 4a b x + 2a
+--R   (2)  ----------------------------------------------------------
+--R                                 5        4
+--R                               2b x + 2a b
+--R                                                    Type: Expression(Integer)
+--E 727
+
+--S 728 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2        3                 3 3       2 2     2        3
+--R        (6a b x + 6a )log(b x + a) + b x  - 3a b x  - 4a b x + 2a
+--R   (3)  ----------------------------------------------------------
+--R                                 5        4
+--R                               2b x + 2a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 728
+
+--S 729 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 729
+
+--S 730 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 730
+
+)clear all
+
+--S 731 of 3330
+t0000:=x^2/(a+b*x)^2
+--R 
+--R
+--R                 2
+--R                x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 731
+
+--S 732 of 3330
+r0000:=x/b^2-a^2/(b^3*(a+b*x))-2*a*log(a+b*x)/b^3
+--R 
+--R
+--R                      2                 2 2            2
+--R        (- 2a b x - 2a )log(b x + a) + b x  + a b x - a
+--R   (2)  ------------------------------------------------
+--R                            4       3
+--R                           b x + a b
+--R                                                    Type: Expression(Integer)
+--E 732
+
+--S 733 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                      2                 2 2            2
+--R        (- 2a b x - 2a )log(b x + a) + b x  + a b x - a
+--R   (3)  ------------------------------------------------
+--R                            4       3
+--R                           b x + a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 733
+
+--S 734 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 734
+
+--S 735 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 735
+
+)clear all
+
+--S 736 of 3330
+t0000:=x/(a+b*x)^2
+--R 
+--R
+--R                 x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 736
+
+--S 737 of 3330
+r0000:=a/(b^2*(a+b*x))+log(a+b*x)/b^2
+--R 
+--R
+--R        (b x + a)log(b x + a) + a
+--R   (2)  -------------------------
+--R                 3       2
+--R                b x + a b
+--R                                                    Type: Expression(Integer)
+--E 737
+
+--S 738 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        (b x + a)log(b x + a) + a
+--R   (3)  -------------------------
+--R                 3       2
+--R                b x + a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 738
+
+--S 739 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 739
+
+--S 740 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 740
+
+)clear all
+
+--S 741 of 3330
+t0000:=1/(a+b*x)^2
+--R 
+--R
+--R                 1
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 741
+
+--S 742 of 3330
+r0000:=(-1)/(b*(a+b*x))
+--R 
+--R
+--R              1
+--R   (2)  - ---------
+--R           2
+--R          b x + a b
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 742
+
+--S 743 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              1
+--R   (3)  - ---------
+--R           2
+--R          b x + a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 743
+
+--S 744 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 744
+
+--S 745 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 745
+
+)clear all
+
+--S 746 of 3330
+t0000:=1/(x*(a+b*x)^2)
+--R 
+--R
+--R                  1
+--R   (1)  --------------------
+--R         2 3         2    2
+--R        b x  + 2a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 746
+
+--S 747 of 3330
+r0000:=1/(a*(a+b*x))+log(x)/a^2-log(a+b*x)/a^2
+--R 
+--R
+--R        (- b x - a)log(b x + a) + (b x + a)log(x) + a
+--R   (2)  ---------------------------------------------
+--R                           2       3
+--R                          a b x + a
+--R                                                    Type: Expression(Integer)
+--E 747
+
+--S 748 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        (- b x - a)log(b x + a) + (b x + a)log(x) + a
+--R   (3)  ---------------------------------------------
+--R                           2       3
+--R                          a b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 748
+
+--S 749 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 749
+
+--S 750 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 750
+
+)clear all
+
+--S 751 of 3330
+t0000:=1/(x^2*(a+b*x)^2)
+--R 
+--R
+--R                  1
+--R   (1)  ---------------------
+--R         2 4         3    2 2
+--R        b x  + 2a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 751
+
+--S 752 of 3330
+r0000:=(-1)/(a^2*x)-b/(a^2*(a+b*x))-2*b*log(x)/a^3+2*b*log(a+b*x)/a^3
+--R 
+--R
+--R           2 2                              2 2                             2
+--R        (2b x  + 2a b x)log(b x + a) + (- 2b x  - 2a b x)log(x) - 2a b x - a
+--R   (2)  ---------------------------------------------------------------------
+--R                                      3   2    4
+--R                                     a b x  + a x
+--R                                                    Type: Expression(Integer)
+--E 752
+
+--S 753 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2                              2 2                             2
+--R        (2b x  + 2a b x)log(b x + a) + (- 2b x  - 2a b x)log(x) - 2a b x - a
+--R   (3)  ---------------------------------------------------------------------
+--R                                      3   2    4
+--R                                     a b x  + a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 753
+
+--S 754 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 754
+
+--S 755 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 755
+
+)clear all
+
+--S 756 of 3330
+t0000:=1/(x^3*(a+b*x)^2)
+--R 
+--R
+--R                  1
+--R   (1)  ---------------------
+--R         2 5         4    2 3
+--R        b x  + 2a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 756
+
+--S 757 of 3330
+r0000:=(-1/2)/(a^2*x^2)+2*b/(a^3*x)+b^2/(a^3*(a+b*x))+_
+     3*b^2*log(x)/a^4-3*b^2*log(a+b*x)/a^4
+--R 
+--R
+--R   (2)
+--R            3 3       2 2                   3 3       2 2              2 2
+--R       (- 6b x  - 6a b x )log(b x + a) + (6b x  + 6a b x )log(x) + 6a b x
+--R     + 
+--R         2       3
+--R       3a b x - a
+--R  /
+--R       4   3     5 2
+--R     2a b x  + 2a x
+--R                                                    Type: Expression(Integer)
+--E 757
+
+--S 758 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            3 3       2 2                   3 3       2 2              2 2
+--R       (- 6b x  - 6a b x )log(b x + a) + (6b x  + 6a b x )log(x) + 6a b x
+--R     + 
+--R         2       3
+--R       3a b x - a
+--R  /
+--R       4   3     5 2
+--R     2a b x  + 2a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 758
+
+--S 759 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 759
+
+--S 760 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 760
+
+)clear all
+
+--S 761 of 3330
+t0000:=1/(x^4*(a+b*x)^2)
+--R 
+--R
+--R                  1
+--R   (1)  ---------------------
+--R         2 6         5    2 4
+--R        b x  + 2a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 761
+
+--S 762 of 3330
+r0000:=(-1/3)/(a^2*x^3)+b/(a^3*x^2)-3*b^2/(a^4*x)-b^3/(a^4*(a+b*x))-_
+     4*b^3*log(x)/a^5+4*b^3*log(a+b*x)/a^5
+--R 
+--R
+--R   (2)
+--R           4 4        3 3                      4 4        3 3               3 3
+--R       (12b x  + 12a b x )log(b x + a) + (- 12b x  - 12a b x )log(x) - 12a b x
+--R     + 
+--R           2 2 2     3       4
+--R       - 6a b x  + 2a b x - a
+--R  /
+--R       5   4     6 3
+--R     3a b x  + 3a x
+--R                                                    Type: Expression(Integer)
+--E 762
+
+--S 763 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           4 4        3 3                      4 4        3 3               3 3
+--R       (12b x  + 12a b x )log(b x + a) + (- 12b x  - 12a b x )log(x) - 12a b x
+--R     + 
+--R           2 2 2     3       4
+--R       - 6a b x  + 2a b x - a
+--R  /
+--R       5   4     6 3
+--R     3a b x  + 3a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 763
+
+--S 764 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 764
+
+--S 765 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 765
+
+)clear all
+
+--S 766 of 3330
+t0000:=1/(x^5*(a+b*x)^2)
+--R 
+--R
+--R                  1
+--R   (1)  ---------------------
+--R         2 7         6    2 5
+--R        b x  + 2a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 766
+
+--S 767 of 3330
+r0000:=(-1/4)/(a^2*x^4)+2/3*b/(a^3*x^3)-3/2*b^2/(a^4*x^2)+4*b^3/(a^5*x)+_
+     b^4/(a^5*(a+b*x))+5*b^4*log(x)/a^6-5*b^4*log(a+b*x)/a^6
+--R 
+--R
+--R   (2)
+--R             5 5        4 4                    5 5        4 4               4 4
+--R       (- 60b x  - 60a b x )log(b x + a) + (60b x  + 60a b x )log(x) + 60a b x
+--R     + 
+--R          2 3 3      3 2 2     4        5
+--R       30a b x  - 10a b x  + 5a b x - 3a
+--R  /
+--R        6   5      7 4
+--R     12a b x  + 12a x
+--R                                                    Type: Expression(Integer)
+--E 767
+
+--S 768 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             5 5        4 4                    5 5        4 4               4 4
+--R       (- 60b x  - 60a b x )log(b x + a) + (60b x  + 60a b x )log(x) + 60a b x
+--R     + 
+--R          2 3 3      3 2 2     4        5
+--R       30a b x  - 10a b x  + 5a b x - 3a
+--R  /
+--R        6   5      7 4
+--R     12a b x  + 12a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 768
+
+--S 769 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 769
+
+--S 770 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 770
+
+)clear all
+
+--S 771 of 3330
+t0000:=x^m/(a+b*x)^3
+--R 
+--R
+--R                      m
+--R                     x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                                    Type: Expression(Integer)
+--E 771
+
+--S 772 of 3330
+--r0000:=1/2*x^(1+m)/(a*(a+b*x)^2)+1/2*(1-m)*x^(1+m)/(a^2*(a+b*x))-_
+--       1/2*(1-m)*m*x^(1+m)*hypergeometric(1,1+m,2+m,-b*x/a)/(a^3*(1+m))
+--E 772
+
+--S 773 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x                 m
+--R         ++                %N
+--R   (2)   |   ------------------------------- d%N
+--R        ++     3 3      2   2        2     3
+--R             %N b  + 3%N a b  + 3%N a b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 773
+
+--S 774 of 3330
+--m0000:=a0000 - r0000
+--E 774
+
+--S 775 of 3330
+--d0000:=D(m0000,x)
+--E 775
+
+)clear all
+
+--S 776 of 3330
+t0000:=x^7/(a+b*x)^3
+--R 
+--R
+--R                      7
+--R                     x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 776
+
+--S 777 of 3330
+r0000:=15*a^4*x/b^7-5*a^3*x^2/b^6+2*a^2*x^3/b^5-3/4*a*x^4/b^4+1/5*x^5/b^3+_
+     1/2*a^7/(b^8*(a+b*x)^2)-7*a^6/(b^8*(a+b*x))-21*a^5*log(a+b*x)/b^8
+--R 
+--R
+--R   (2)
+--R              5 2 2       6          7                  7 7       6 6      2 5 5
+--R       (- 420a b x  - 840a b x - 420a )log(b x + a) + 4b x  - 7a b x  + 14a b x
+--R     + 
+--R            3 4 4       4 3 3       5 2 2       6          7
+--R       - 35a b x  + 140a b x  + 500a b x  + 160a b x - 130a
+--R  /
+--R        10 2        9       2 8
+--R     20b  x  + 40a b x + 20a b
+--R                                                    Type: Expression(Integer)
+--E 777
+
+--S 778 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              5 2 2       6          7                  7 7       6 6      2 5 5
+--R       (- 420a b x  - 840a b x - 420a )log(b x + a) + 4b x  - 7a b x  + 14a b x
+--R     + 
+--R            3 4 4       4 3 3       5 2 2       6          7
+--R       - 35a b x  + 140a b x  + 500a b x  + 160a b x - 130a
+--R  /
+--R        10 2        9       2 8
+--R     20b  x  + 40a b x + 20a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 778
+
+--S 779 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 779
+
+--S 780 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 780
+
+)clear all
+
+--S 781 of 3330
+t0000:=x^6/(a+b*x)^3
+--R 
+--R
+--R                      6
+--R                     x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 781
+
+--S 782 of 3330
+r0000:=-10*a^3*x/b^6+3*a^2*x^2/b^5-a*x^3/b^4+1/4*x^4/b^3-_
+     1/2*a^6/(b^7*(a+b*x)^2)+6*a^5/(b^7*(a+b*x))+15*a^4*log(a+b*x)/b^7
+--R 
+--R
+--R   (2)
+--R           4 2 2       5         6                 6 6       5 5     2 4 4
+--R       (60a b x  + 120a b x + 60a )log(b x + a) + b x  - 2a b x  + 5a b x
+--R     + 
+--R            3 3 3      4 2 2      5         6
+--R       - 20a b x  - 68a b x  - 16a b x + 22a
+--R  /
+--R       9 2       8      2 7
+--R     4b x  + 8a b x + 4a b
+--R                                                    Type: Expression(Integer)
+--E 782
+
+--S 783 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           4 2 2       5         6                 6 6       5 5     2 4 4
+--R       (60a b x  + 120a b x + 60a )log(b x + a) + b x  - 2a b x  + 5a b x
+--R     + 
+--R            3 3 3      4 2 2      5         6
+--R       - 20a b x  - 68a b x  - 16a b x + 22a
+--R  /
+--R       9 2       8      2 7
+--R     4b x  + 8a b x + 4a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 783
+
+--S 784 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 784
+
+--S 785 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 785
+
+)clear all
+
+--S 786 of 3330
+t0000:=x^5/(a+b*x)^3
+--R 
+--R
+--R                      5
+--R                     x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 786
+
+--S 787 of 3330
+r0000:=6*a^2*x/b^5-3/2*a*x^2/b^4+1/3*x^3/b^3+1/2*a^5/(b^6*(a+b*x)^2)-_
+     5*a^4/(b^6*(a+b*x))-10*a^3*log(a+b*x)/b^6
+--R 
+--R
+--R   (2)
+--R             3 2 2       4         5                  5 5       4 4      2 3 3
+--R       (- 60a b x  - 120a b x - 60a )log(b x + a) + 2b x  - 5a b x  + 20a b x
+--R     + 
+--R          3 2 2     4         5
+--R       63a b x  + 6a b x - 27a
+--R  /
+--R       8 2        7      2 6
+--R     6b x  + 12a b x + 6a b
+--R                                                    Type: Expression(Integer)
+--E 787
+
+--S 788 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             3 2 2       4         5                  5 5       4 4      2 3 3
+--R       (- 60a b x  - 120a b x - 60a )log(b x + a) + 2b x  - 5a b x  + 20a b x
+--R     + 
+--R          3 2 2     4         5
+--R       63a b x  + 6a b x - 27a
+--R  /
+--R       8 2        7      2 6
+--R     6b x  + 12a b x + 6a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 788
+
+--S 789 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 789
+
+--S 790 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 790
+
+)clear all
+
+--S 791 of 3330
+t0000:=x^4/(a+b*x)^3
+--R 
+--R
+--R                      4
+--R                     x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 791
+
+--S 792 of 3330
+r0000:=-3*a*x/b^4+1/2*x^2/b^3-1/2*a^4/(b^5*(a+b*x)^2)+4*a^3/(b^5*(a+b*x))+_
+     6*a^2*log(a+b*x)/b^5
+--R 
+--R
+--R   (2)
+--R           2 2 2      3         4                 4 4       3 3      2 2 2
+--R       (12a b x  + 24a b x + 12a )log(b x + a) + b x  - 4a b x  - 11a b x
+--R     + 
+--R         3        4
+--R       2a b x + 7a
+--R  /
+--R       7 2       6      2 5
+--R     2b x  + 4a b x + 2a b
+--R                                                    Type: Expression(Integer)
+--E 792
+
+--S 793 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           2 2 2      3         4                 4 4       3 3      2 2 2
+--R       (12a b x  + 24a b x + 12a )log(b x + a) + b x  - 4a b x  - 11a b x
+--R     + 
+--R         3        4
+--R       2a b x + 7a
+--R  /
+--R       7 2       6      2 5
+--R     2b x  + 4a b x + 2a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 793
+
+--S 794 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 794
+
+--S 795 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 795
+
+)clear all
+
+--S 796 of 3330
+t0000:=x^3/(a+b*x)^3
+--R 
+--R
+--R                      3
+--R                     x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 796
+
+--S 797 of 3330
+r0000:=x/b^3+1/2*a^3/(b^4*(a+b*x)^2)-3*a^2/(b^4*(a+b*x))-3*a*log(a+b*x)/b^4
+--R 
+--R
+--R   (2)
+--R          2 2      2        3                  3 3       2 2     2        3
+--R   (- 6a b x  - 12a b x - 6a )log(b x + a) + 2b x  + 4a b x  - 4a b x - 5a
+--R   ------------------------------------------------------------------------
+--R                              6 2       5      2 4
+--R                            2b x  + 4a b x + 2a b
+--R                                                    Type: Expression(Integer)
+--E 797
+
+--S 798 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R          2 2      2        3                  3 3       2 2     2        3
+--R   (- 6a b x  - 12a b x - 6a )log(b x + a) + 2b x  + 4a b x  - 4a b x - 5a
+--R   ------------------------------------------------------------------------
+--R                              6 2       5      2 4
+--R                            2b x  + 4a b x + 2a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 798
+
+--S 799 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 799
+
+--S 800 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 800
+
+)clear all
+
+--S 801 of 3330
+t0000:=x^2/(a+b*x)^3
+--R 
+--R
+--R                      2
+--R                     x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 801
+
+--S 802 of 3330
+r0000:=-1/2*a^2/(b^3*(a+b*x)^2)+2*a/(b^3*(a+b*x))+log(a+b*x)/b^3
+--R 
+--R
+--R           2 2              2                           2
+--R        (2b x  + 4a b x + 2a )log(b x + a) + 4a b x + 3a
+--R   (2)  -------------------------------------------------
+--R                        5 2       4      2 3
+--R                      2b x  + 4a b x + 2a b
+--R                                                    Type: Expression(Integer)
+--E 802
+
+--S 803 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2              2                           2
+--R        (2b x  + 4a b x + 2a )log(b x + a) + 4a b x + 3a
+--R   (3)  -------------------------------------------------
+--R                        5 2       4      2 3
+--R                      2b x  + 4a b x + 2a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 803
+
+--S 804 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 804
+
+--S 805 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 805
+
+)clear all
+
+--S 806 of 3330
+t0000:=x/(a+b*x)^3
+--R 
+--R
+--R                      x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 806
+
+--S 807 of 3330
+r0000:=1/2*x^2/(a*(a+b*x)^2)
+--R 
+--R
+--R                1  2
+--R                - x
+--R                2
+--R   (2)  --------------------
+--R           2 2     2       3
+--R        a b x  + 2a b x + a
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 807
+
+--S 808 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              - 2b x - a
+--R   (3)  ----------------------
+--R          4 2       3      2 2
+--R        2b x  + 4a b x + 2a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 808
+
+--S 809 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            1
+--R   (4)  - -----
+--R              2
+--R          2a b
+--R                                                    Type: Expression(Integer)
+--E 809
+
+--S 810 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 810
+
+)clear all
+
+--S 811 of 3330
+t0000:=1/(a+b*x)^3
+--R 
+--R
+--R                      1
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 811
+
+--S 812 of 3330
+r0000:=(-1/2)/(b*(a+b*x)^2)
+--R 
+--R
+--R                   1
+--R                   -
+--R                   2
+--R   (2)  - -------------------
+--R           3 2       2     2
+--R          b x  + 2a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 812
+
+--S 813 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                    1
+--R   (3)  - ---------------------
+--R            3 2       2      2
+--R          2b x  + 4a b x + 2a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 813
+
+--S 814 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 814
+
+--S 815 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 815
+
+)clear all
+
+--S 816 of 3330
+t0000:=1/(x*(a+b*x)^3)
+--R 
+--R
+--R                       1
+--R   (1)  ------------------------------
+--R         3 4       2 3     2   2    3
+--R        b x  + 3a b x  + 3a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 816
+
+--S 817 of 3330
+r0000:=1/2/(a*(a+b*x)^2)+1/(a^2*(a+b*x))+log(x)/a^3-log(a+b*x)/a^3
+--R 
+--R
+--R   (2)
+--R            2 2              2                   2 2              2
+--R       (- 2b x  - 4a b x - 2a )log(b x + a) + (2b x  + 4a b x + 2a )log(x)
+--R     + 
+--R                  2
+--R       2a b x + 3a
+--R  /
+--R       3 2 2     4        5
+--R     2a b x  + 4a b x + 2a
+--R                                                    Type: Expression(Integer)
+--E 817
+
+--S 818 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            2 2              2                   2 2              2
+--R       (- 2b x  - 4a b x - 2a )log(b x + a) + (2b x  + 4a b x + 2a )log(x)
+--R     + 
+--R                  2
+--R       2a b x + 3a
+--R  /
+--R       3 2 2     4        5
+--R     2a b x  + 4a b x + 2a
+--R                                         Type: Union(Expression(Integer),...)
+--E 818
+
+--S 819 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 819
+
+--S 820 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 820
+
+)clear all
+
+--S 821 of 3330
+t0000:=1/(x^2*(a+b*x)^3)
+--R 
+--R
+--R                       1
+--R   (1)  -------------------------------
+--R         3 5       2 4     2   3    3 2
+--R        b x  + 3a b x  + 3a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 821
+
+--S 822 of 3330
+r0000:=(-1)/(a^3*x)-1/2*b/(a^2*(a+b*x)^2)-2*b/(a^3*(a+b*x))-_
+     3*b*log(x)/a^4+3*b*log(a+b*x)/a^4
+--R 
+--R
+--R   (2)
+--R          3 3        2 2     2
+--R       (6b x  + 12a b x  + 6a b x)log(b x + a)
+--R     + 
+--R            3 3        2 2     2                 2 2     2        3
+--R       (- 6b x  - 12a b x  - 6a b x)log(x) - 6a b x  - 9a b x - 2a
+--R  /
+--R       4 2 3     5   2     6
+--R     2a b x  + 4a b x  + 2a x
+--R                                                    Type: Expression(Integer)
+--E 822
+
+--S 823 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R          3 3        2 2     2
+--R       (6b x  + 12a b x  + 6a b x)log(b x + a)
+--R     + 
+--R            3 3        2 2     2                 2 2     2        3
+--R       (- 6b x  - 12a b x  - 6a b x)log(x) - 6a b x  - 9a b x - 2a
+--R  /
+--R       4 2 3     5   2     6
+--R     2a b x  + 4a b x  + 2a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 823
+
+--S 824 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 824
+
+--S 825 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 825
+
+)clear all
+
+--S 826 of 3330
+t0000:=1/(x^3*(a+b*x)^3)
+--R 
+--R
+--R                       1
+--R   (1)  -------------------------------
+--R         3 6       2 5     2   4    3 3
+--R        b x  + 3a b x  + 3a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 826
+
+--S 827 of 3330
+r0000:=(-1/2)/(a^3*x^2)+3*b/(a^4*x)+1/2*b^2/(a^3*(a+b*x)^2)+_
+     3*b^2/(a^4*(a+b*x))+6*b^2*log(x)/a^5-6*b^2*log(a+b*x)/a^5
+--R 
+--R
+--R   (2)
+--R             4 4        3 3      2 2 2
+--R       (- 12b x  - 24a b x  - 12a b x )log(b x + a)
+--R     + 
+--R           4 4        3 3      2 2 2               3 3      2 2 2     3       4
+--R       (12b x  + 24a b x  + 12a b x )log(x) + 12a b x  + 18a b x  + 4a b x - a
+--R  /
+--R       5 2 4     6   3     7 2
+--R     2a b x  + 4a b x  + 2a x
+--R                                                    Type: Expression(Integer)
+--E 827
+
+--S 828 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             4 4        3 3      2 2 2
+--R       (- 12b x  - 24a b x  - 12a b x )log(b x + a)
+--R     + 
+--R           4 4        3 3      2 2 2               3 3      2 2 2     3       4
+--R       (12b x  + 24a b x  + 12a b x )log(x) + 12a b x  + 18a b x  + 4a b x - a
+--R  /
+--R       5 2 4     6   3     7 2
+--R     2a b x  + 4a b x  + 2a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 828
+
+--S 829 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 829
+
+--S 830 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 830
+
+)clear all
+
+--S 831 of 3330
+t0000:=1/(x^4*(a+b*x)^3)
+--R 
+--R
+--R                       1
+--R   (1)  -------------------------------
+--R         3 7       2 6     2   5    3 4
+--R        b x  + 3a b x  + 3a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 831
+
+--S 832 of 3330
+r0000:=(-1/3)/(a^3*x^3)+3/2*b/(a^4*x^2)-6*b^2/(a^5*x)-1/2*b^3/(a^4*(a+b*x)^2)-_
+     4*b^3/(a^5*(a+b*x))-10*b^3*log(x)/a^6+10*b^3*log(a+b*x)/a^6
+--R 
+--R
+--R   (2)
+--R           5 5         4 4      2 3 3
+--R       (60b x  + 120a b x  + 60a b x )log(b x + a)
+--R     + 
+--R             5 5         4 4      2 3 3               4 4      2 3 3      3 2 2
+--R       (- 60b x  - 120a b x  - 60a b x )log(x) - 60a b x  - 90a b x  - 20a b x
+--R     + 
+--R         4        5
+--R       5a b x - 2a
+--R  /
+--R       6 2 5      7   4     8 3
+--R     6a b x  + 12a b x  + 6a x
+--R                                                    Type: Expression(Integer)
+--E 832
+
+--S 833 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           5 5         4 4      2 3 3
+--R       (60b x  + 120a b x  + 60a b x )log(b x + a)
+--R     + 
+--R             5 5         4 4      2 3 3               4 4      2 3 3      3 2 2
+--R       (- 60b x  - 120a b x  - 60a b x )log(x) - 60a b x  - 90a b x  - 20a b x
+--R     + 
+--R         4        5
+--R       5a b x - 2a
+--R  /
+--R       6 2 5      7   4     8 3
+--R     6a b x  + 12a b x  + 6a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 833
+
+--S 834 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 834
+
+--S 835 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 835
+
+)clear all
+
+--S 836 of 3330
+t0000:=1/(x^5*(a+b*x)^3)
+--R 
+--R
+--R                       1
+--R   (1)  -------------------------------
+--R         3 8       2 7     2   6    3 5
+--R        b x  + 3a b x  + 3a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 836
+
+--S 837 of 3330
+r0000:=(-1/4)/(a^3*x^4)+b/(a^4*x^3)-3*b^2/(a^5*x^2)+10*b^3/(a^6*x)+_
+     1/2*b^4/(a^5*(a+b*x)^2)+5*b^4/(a^6*(a+b*x))+_
+     15*b^4*log(x)/a^7-15*b^4*log(a+b*x)/a^7
+--R 
+--R
+--R   (2)
+--R             6 6         5 5      2 4 4
+--R       (- 60b x  - 120a b x  - 60a b x )log(b x + a)
+--R     + 
+--R           6 6         5 5      2 4 4               5 5      2 4 4      3 3 3
+--R       (60b x  + 120a b x  + 60a b x )log(x) + 60a b x  + 90a b x  + 20a b x
+--R     + 
+--R           4 2 2     5       6
+--R       - 5a b x  + 2a b x - a
+--R  /
+--R       7 2 6     8   5     9 4
+--R     4a b x  + 8a b x  + 4a x
+--R                                                    Type: Expression(Integer)
+--E 837
+
+--S 838 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             6 6         5 5      2 4 4
+--R       (- 60b x  - 120a b x  - 60a b x )log(b x + a)
+--R     + 
+--R           6 6         5 5      2 4 4               5 5      2 4 4      3 3 3
+--R       (60b x  + 120a b x  + 60a b x )log(x) + 60a b x  + 90a b x  + 20a b x
+--R     + 
+--R           4 2 2     5       6
+--R       - 5a b x  + 2a b x - a
+--R  /
+--R       7 2 6     8   5     9 4
+--R     4a b x  + 8a b x  + 4a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 838
+
+--S 839 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 839
+
+--S 840 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 840
+
+)clear all
+
+--S 841 of 3330
+t0000:=x^8/(a+b*x)^4
+--R 
+--R
+--R                           8
+--R                          x
+--R   (1)  --------------------------------------
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 841
+
+--S 842 of 3330
+r0000:=35*a^4*x/b^8-10*a^3*x^2/b^7+10/3*a^2*x^3/b^6-a*x^4/b^5+_
+     1/5*x^5/b^4-1/3*a^8/(b^9*(a+b*x)^3)+4*a^7/(b^9*(a+b*x)^2)-_
+     28*a^6/(b^9*(a+b*x))-56*a^5*log(a+b*x)/b^9
+--R 
+--R
+--R   (2)
+--R              5 3 3        6 2 2        7          8                  8 8
+--R       (- 840a b x  - 2520a b x  - 2520a b x - 840a )log(b x + a) + 3b x
+--R     + 
+--R             7 7      2 6 6      3 5 5       4 4 4        5 3 3        6 2 2
+--R       - 6a b x  + 14a b x  - 42a b x  + 210a b x  + 1175a b x  + 1005a b x
+--R     + 
+--R             7          8
+--R       - 255a b x - 365a
+--R  /
+--R        12 3        11 2      2 10       3 9
+--R     15b  x  + 45a b  x  + 45a b  x + 15a b
+--R                                                    Type: Expression(Integer)
+--E 842
+
+--S 843 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              5 3 3        6 2 2        7          8                  8 8
+--R       (- 840a b x  - 2520a b x  - 2520a b x - 840a )log(b x + a) + 3b x
+--R     + 
+--R             7 7      2 6 6      3 5 5       4 4 4        5 3 3        6 2 2
+--R       - 6a b x  + 14a b x  - 42a b x  + 210a b x  + 1175a b x  + 1005a b x
+--R     + 
+--R             7          8
+--R       - 255a b x - 365a
+--R  /
+--R        12 3        11 2      2 10       3 9
+--R     15b  x  + 45a b  x  + 45a b  x + 15a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 843
+
+--S 844 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 844
+
+--S 845 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 845
+
+)clear all
+
+--S 846 of 3330
+t0000:=x^7/(a+b*x)^4
+--R 
+--R
+--R                           7
+--R                          x
+--R   (1)  --------------------------------------
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 846
+
+--S 847 of 3330
+r0000:=-20*a^3*x/b^7+5*a^2*x^2/b^6-4/3*a*x^3/b^5+1/4*x^4/b^4+_
+     1/3*a^7/(b^8*(a+b*x)^3)-7/2*a^6/(b^8*(a+b*x)^2)+_
+     21*a^5/(b^8*(a+b*x))+35*a^4*log(a+b*x)/b^8
+--R 
+--R
+--R   (2)
+--R            4 3 3        5 2 2        6          7                  7 7
+--R       (420a b x  + 1260a b x  + 1260a b x + 420a )log(b x + a) + 3b x
+--R     + 
+--R           6 6      2 5 5       3 4 4       4 3 3       5 2 2       6          7
+--R     - 7a b x  + 21a b x  - 105a b x  - 556a b x  - 408a b x  + 222a b x + 214a
+--R  /
+--R        11 3        10 2      2 9       3 8
+--R     12b  x  + 36a b  x  + 36a b x + 12a b
+--R                                                    Type: Expression(Integer)
+--E 847
+
+--S 848 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            4 3 3        5 2 2        6          7                  7 7
+--R       (420a b x  + 1260a b x  + 1260a b x + 420a )log(b x + a) + 3b x
+--R     + 
+--R           6 6      2 5 5       3 4 4       4 3 3       5 2 2       6          7
+--R     - 7a b x  + 21a b x  - 105a b x  - 556a b x  - 408a b x  + 222a b x + 214a
+--R  /
+--R        11 3        10 2      2 9       3 8
+--R     12b  x  + 36a b  x  + 36a b x + 12a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 848
+
+--S 849 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 849
+
+--S 850 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 850
+
+)clear all
+
+--S 851 of 3330
+t0000:=x^6/(a+b*x)^4
+--R 
+--R
+--R                           6
+--R                          x
+--R   (1)  --------------------------------------
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 851
+
+--S 852 of 3330
+r0000:=10*a^2*x/b^6-2*a*x^2/b^5+1/3*x^3/b^4-1/3*a^6/(b^7*(a+b*x)^3)+_
+     3*a^5/(b^7*(a+b*x)^2)-15*a^4/(b^7*(a+b*x))-20*a^3*log(a+b*x)/b^7
+--R 
+--R
+--R   (2)
+--R             3 3 3       4 2 2       5         6                 6 6       5 5
+--R       (- 60a b x  - 180a b x  - 180a b x - 60a )log(b x + a) + b x  - 3a b x
+--R     + 
+--R          2 4 4      3 3 3      4 2 2      5         6
+--R       15a b x  + 73a b x  + 39a b x  - 51a b x - 37a
+--R  /
+--R       10 3       9 2     2 8      3 7
+--R     3b  x  + 9a b x  + 9a b x + 3a b
+--R                                                    Type: Expression(Integer)
+--E 852
+
+--S 853 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             3 3 3       4 2 2       5         6                 6 6       5 5
+--R       (- 60a b x  - 180a b x  - 180a b x - 60a )log(b x + a) + b x  - 3a b x
+--R     + 
+--R          2 4 4      3 3 3      4 2 2      5         6
+--R       15a b x  + 73a b x  + 39a b x  - 51a b x - 37a
+--R  /
+--R       10 3       9 2     2 8      3 7
+--R     3b  x  + 9a b x  + 9a b x + 3a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 853
+
+--S 854 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 854
+
+--S 855 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 855
+
+)clear all
+
+--S 856 of 3330
+t0000:=x^5/(a+b*x)^4
+--R 
+--R
+--R                           5
+--R                          x
+--R   (1)  --------------------------------------
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 856
+
+--S 857 of 3330
+r0000:=-4*a*x/b^5+1/2*x^2/b^4+1/3*a^5/(b^6*(a+b*x)^3)-_
+     5/2*a^4/(b^6*(a+b*x)^2)+10*a^3/(b^6*(a+b*x))+10*a^2*log(a+b*x)/b^6
+--R 
+--R
+--R   (2)
+--R           2 3 3       3 2 2       4         5                  5 5        4 4
+--R       (60a b x  + 180a b x  + 180a b x + 60a )log(b x + a) + 3b x  - 15a b x
+--R     + 
+--R            2 3 3     3 2 2      4         5
+--R       - 63a b x  - 9a b x  + 81a b x + 47a
+--R  /
+--R       9 3        8 2      2 7      3 6
+--R     6b x  + 18a b x  + 18a b x + 6a b
+--R                                                    Type: Expression(Integer)
+--E 857
+
+--S 858 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           2 3 3       3 2 2       4         5                  5 5        4 4
+--R       (60a b x  + 180a b x  + 180a b x + 60a )log(b x + a) + 3b x  - 15a b x
+--R     + 
+--R            2 3 3     3 2 2      4         5
+--R       - 63a b x  - 9a b x  + 81a b x + 47a
+--R  /
+--R       9 3        8 2      2 7      3 6
+--R     6b x  + 18a b x  + 18a b x + 6a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 858
+
+--S 859 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 859
+
+--S 860 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 860
+
+)clear all
+
+--S 861 of 3330
+t0000:=x^4/(a+b*x)^4
+--R 
+--R
+--R                           4
+--R                          x
+--R   (1)  --------------------------------------
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 861
+
+--S 862 of 3330
+r0000:=x/b^4-1/3*a^4/(b^5*(a+b*x)^3)+2*a^3/(b^5*(a+b*x)^2)-_
+     6*a^2/(b^5*(a+b*x))-4*a*log(a+b*x)/b^5
+--R 
+--R
+--R   (2)
+--R               3 3      2 2 2      3         4                  4 4       3 3
+--R       (- 12a b x  - 36a b x  - 36a b x - 12a )log(b x + a) + 3b x  + 9a b x
+--R     + 
+--R           2 2 2      3         4
+--R       - 9a b x  - 27a b x - 13a
+--R  /
+--R       8 3       7 2     2 6      3 5
+--R     3b x  + 9a b x  + 9a b x + 3a b
+--R                                                    Type: Expression(Integer)
+--E 862
+
+--S 863 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               3 3      2 2 2      3         4                  4 4       3 3
+--R       (- 12a b x  - 36a b x  - 36a b x - 12a )log(b x + a) + 3b x  + 9a b x
+--R     + 
+--R           2 2 2      3         4
+--R       - 9a b x  - 27a b x - 13a
+--R  /
+--R       8 3       7 2     2 6      3 5
+--R     3b x  + 9a b x  + 9a b x + 3a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 863
+
+--S 864 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 864
+
+--S 865 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 865
+
+)clear all
+
+--S 866 of 3330
+t0000:=x^3/(a+b*x)^4
+--R 
+--R
+--R                           3
+--R                          x
+--R   (1)  --------------------------------------
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 866
+
+--S 867 of 3330
+r0000:=1/3*a^3/(b^4*(a+b*x)^3)-3/2*a^2/(b^4*(a+b*x)^2)+_
+     3*a/(b^4*(a+b*x))+log(a+b*x)/b^4
+--R 
+--R
+--R   (2)
+--R      3 3        2 2      2        3                     2 2      2         3
+--R   (6b x  + 18a b x  + 18a b x + 6a )log(b x + a) + 18a b x  + 27a b x + 11a
+--R   --------------------------------------------------------------------------
+--R                         7 3        6 2      2 5      3 4
+--R                       6b x  + 18a b x  + 18a b x + 6a b
+--R                                                    Type: Expression(Integer)
+--E 867
+
+--S 868 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      3 3        2 2      2        3                     2 2      2         3
+--R   (6b x  + 18a b x  + 18a b x + 6a )log(b x + a) + 18a b x  + 27a b x + 11a
+--R   --------------------------------------------------------------------------
+--R                         7 3        6 2      2 5      3 4
+--R                       6b x  + 18a b x  + 18a b x + 6a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 868
+
+--S 869 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 869
+
+--S 870 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 870
+
+)clear all
+
+--S 871 of 3330
+t0000:=x^2/(a+b*x)^4
+--R 
+--R
+--R                           2
+--R                          x
+--R   (1)  --------------------------------------
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 871
+
+--S 872 of 3330
+r0000:=1/3*x^3/(a*(a+b*x)^3)
+--R 
+--R
+--R                     1  3
+--R                     - x
+--R                     3
+--R   (2)  ------------------------------
+--R           3 3     2 2 2     3       4
+--R        a b x  + 3a b x  + 3a b x + a
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 872
+
+--S 873 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                  2 2             2
+--R              - 3b x  - 3a b x - a
+--R   (3)  --------------------------------
+--R          6 3       5 2     2 4      3 3
+--R        3b x  + 9a b x  + 9a b x + 3a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 873
+
+--S 874 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            1
+--R   (4)  - -----
+--R              3
+--R          3a b
+--R                                                    Type: Expression(Integer)
+--E 874
+
+--S 875 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 875
+
+)clear all
+
+--S 876 of 3330
+t0000:=x/(a+b*x)^4
+--R 
+--R
+--R                           x
+--R   (1)  --------------------------------------
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 876
+
+--S 877 of 3330
+r0000:=1/3*a/(b^2*(a+b*x)^3)+(-1/2)/(b^2*(a+b*x)^2)
+--R 
+--R
+--R                   1       1
+--R                 - - b x - - a
+--R                   2       6
+--R   (2)  ------------------------------
+--R         5 3       4 2     2 3     3 2
+--R        b x  + 3a b x  + 3a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 877
+
+--S 878 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                    - 3b x - a
+--R   (3)  ----------------------------------
+--R          5 3        4 2      2 3      3 2
+--R        6b x  + 18a b x  + 18a b x + 6a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 878
+
+--S 879 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 879
+
+--S 880 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 880
+
+)clear all
+
+--S 881 of 3330
+t0000:=1/(a+b*x)^4
+--R 
+--R
+--R                           1
+--R   (1)  --------------------------------------
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 881
+
+--S 882 of 3330
+r0000:=(-1/3)/(b*(a+b*x)^3)
+--R 
+--R
+--R                        1
+--R                        -
+--R                        3
+--R   (2)  - -----------------------------
+--R           4 3       3 2     2 2     3
+--R          b x  + 3a b x  + 3a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 882
+
+--S 883 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                         1
+--R   (3)  - -------------------------------
+--R            4 3       3 2     2 2      3
+--R          3b x  + 9a b x  + 9a b x + 3a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 883
+
+--S 884 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 884
+
+--S 885 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 885
+
+)clear all
+
+--S 886 of 3330
+t0000:=1/(x*(a+b*x)^4)
+--R 
+--R
+--R                            1
+--R   (1)  ----------------------------------------
+--R         4 5       3 4     2 2 3     3   2    4
+--R        b x  + 4a b x  + 6a b x  + 4a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 886
+
+--S 887 of 3330
+r0000:=1/3/(a*(a+b*x)^3)+1/2/(a^2*(a+b*x)^2)+1/(a^3*(a+b*x))+log(x)/a^4-_
+     log(a+b*x)/a^4
+--R 
+--R
+--R   (2)
+--R            3 3        2 2      2        3
+--R       (- 6b x  - 18a b x  - 18a b x - 6a )log(b x + a)
+--R     + 
+--R          3 3        2 2      2        3              2 2      2         3
+--R       (6b x  + 18a b x  + 18a b x + 6a )log(x) + 6a b x  + 15a b x + 11a
+--R  /
+--R       4 3 3      5 2 2      6        7
+--R     6a b x  + 18a b x  + 18a b x + 6a
+--R                                                    Type: Expression(Integer)
+--E 887
+
+--S 888 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            3 3        2 2      2        3
+--R       (- 6b x  - 18a b x  - 18a b x - 6a )log(b x + a)
+--R     + 
+--R          3 3        2 2      2        3              2 2      2         3
+--R       (6b x  + 18a b x  + 18a b x + 6a )log(x) + 6a b x  + 15a b x + 11a
+--R  /
+--R       4 3 3      5 2 2      6        7
+--R     6a b x  + 18a b x  + 18a b x + 6a
+--R                                         Type: Union(Expression(Integer),...)
+--E 888
+
+--S 889 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 889
+
+--S 890 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 890
+
+)clear all
+
+--S 891 of 3330
+t0000:=1/(x^2*(a+b*x)^4)
+--R 
+--R
+--R                            1
+--R   (1)  -----------------------------------------
+--R         4 6       3 5     2 2 4     3   3    4 2
+--R        b x  + 4a b x  + 6a b x  + 4a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 891
+
+--S 892 of 3330
+r0000:=(-1)/(a^4*x)-1/3*b/(a^2*(a+b*x)^3)-b/(a^3*(a+b*x)^2)-_
+     3*b/(a^4*(a+b*x))-4*b*log(x)/a^5+4*b*log(a+b*x)/a^5
+--R 
+--R
+--R   (2)
+--R           4 4        3 3      2 2 2      3
+--R       (12b x  + 36a b x  + 36a b x  + 12a b x)log(b x + a)
+--R     + 
+--R             4 4        3 3      2 2 2      3                  3 3      2 2 2
+--R       (- 12b x  - 36a b x  - 36a b x  - 12a b x)log(x) - 12a b x  - 30a b x
+--R     + 
+--R            3        4
+--R       - 22a b x - 3a
+--R  /
+--R       5 3 4     6 2 3     7   2     8
+--R     3a b x  + 9a b x  + 9a b x  + 3a x
+--R                                                    Type: Expression(Integer)
+--E 892
+
+--S 893 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           4 4        3 3      2 2 2      3
+--R       (12b x  + 36a b x  + 36a b x  + 12a b x)log(b x + a)
+--R     + 
+--R             4 4        3 3      2 2 2      3                  3 3      2 2 2
+--R       (- 12b x  - 36a b x  - 36a b x  - 12a b x)log(x) - 12a b x  - 30a b x
+--R     + 
+--R            3        4
+--R       - 22a b x - 3a
+--R  /
+--R       5 3 4     6 2 3     7   2     8
+--R     3a b x  + 9a b x  + 9a b x  + 3a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 893
+
+--S 894 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 894
+
+--S 895 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 895
+
+)clear all
+
+--S 896 of 3330
+t0000:=1/(x^3*(a+b*x)^4)
+--R 
+--R
+--R                            1
+--R   (1)  -----------------------------------------
+--R         4 7       3 6     2 2 5     3   4    4 3
+--R        b x  + 4a b x  + 6a b x  + 4a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 896
+
+--S 897 of 3330
+r0000:=(-1/2)/(a^4*x^2)+4*b/(a^5*x)+1/3*b^2/(a^3*(a+b*x)^3)+_
+     3/2*b^2/(a^4*(a+b*x)^2)+6*b^2/(a^5*(a+b*x))+_
+     10*b^2*log(x)/a^6-10*b^2*log(a+b*x)/a^6
+--R 
+--R
+--R   (2)
+--R             5 5         4 4       2 3 3      3 2 2
+--R       (- 60b x  - 180a b x  - 180a b x  - 60a b x )log(b x + a)
+--R     + 
+--R           5 5         4 4       2 3 3      3 2 2               4 4       2 3 3
+--R       (60b x  + 180a b x  + 180a b x  + 60a b x )log(x) + 60a b x  + 150a b x
+--R     + 
+--R           3 2 2      4        5
+--R       110a b x  + 15a b x - 3a
+--R  /
+--R       6 3 5      7 2 4      8   3     9 2
+--R     6a b x  + 18a b x  + 18a b x  + 6a x
+--R                                                    Type: Expression(Integer)
+--E 897
+
+--S 898 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             5 5         4 4       2 3 3      3 2 2
+--R       (- 60b x  - 180a b x  - 180a b x  - 60a b x )log(b x + a)
+--R     + 
+--R           5 5         4 4       2 3 3      3 2 2               4 4       2 3 3
+--R       (60b x  + 180a b x  + 180a b x  + 60a b x )log(x) + 60a b x  + 150a b x
+--R     + 
+--R           3 2 2      4        5
+--R       110a b x  + 15a b x - 3a
+--R  /
+--R       6 3 5      7 2 4      8   3     9 2
+--R     6a b x  + 18a b x  + 18a b x  + 6a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 898
+
+--S 899 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 899
+
+--S 900 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 900
+
+)clear all
+
+--S 901 of 3330
+t0000:=1/(x^4*(a+b*x)^4)
+--R 
+--R
+--R                            1
+--R   (1)  -----------------------------------------
+--R         4 8       3 7     2 2 6     3   5    4 4
+--R        b x  + 4a b x  + 6a b x  + 4a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 901
+
+--S 902 of 3330
+r0000:=(-1/3)/(a^4*x^3)+2*b/(a^5*x^2)-10*b^2/(a^6*x)-_
+     1/3*b^3/(a^4*(a+b*x)^3)-2*b^3/(a^5*(a+b*x)^2)-_
+     10*b^3/(a^6*(a+b*x))-20*b^3*log(x)/a^7+20*b^3*log(a+b*x)/a^7
+--R 
+--R
+--R   (2)
+--R           6 6         5 5       2 4 4      3 3 3
+--R       (60b x  + 180a b x  + 180a b x  + 60a b x )log(b x + a)
+--R     + 
+--R             6 6         5 5       2 4 4      3 3 3               5 5
+--R       (- 60b x  - 180a b x  - 180a b x  - 60a b x )log(x) - 60a b x
+--R     + 
+--R             2 4 4       3 3 3      4 2 2     5       6
+--R       - 150a b x  - 110a b x  - 15a b x  + 3a b x - a
+--R  /
+--R       7 3 6     8 2 5     9   4     10 3
+--R     3a b x  + 9a b x  + 9a b x  + 3a  x
+--R                                                    Type: Expression(Integer)
+--E 902
+
+--S 903 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           6 6         5 5       2 4 4      3 3 3
+--R       (60b x  + 180a b x  + 180a b x  + 60a b x )log(b x + a)
+--R     + 
+--R             6 6         5 5       2 4 4      3 3 3               5 5
+--R       (- 60b x  - 180a b x  - 180a b x  - 60a b x )log(x) - 60a b x
+--R     + 
+--R             2 4 4       3 3 3      4 2 2     5       6
+--R       - 150a b x  - 110a b x  - 15a b x  + 3a b x - a
+--R  /
+--R       7 3 6     8 2 5     9   4     10 3
+--R     3a b x  + 9a b x  + 9a b x  + 3a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 903
+
+--S 904 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 904
+
+--S 905 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 905
+
+)clear all
+
+--S 906 of 3330
+t0000:=1/(x^5*(a+b*x)^4)
+--R 
+--R
+--R                            1
+--R   (1)  -----------------------------------------
+--R         4 9       3 8     2 2 7     3   6    4 5
+--R        b x  + 4a b x  + 6a b x  + 4a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 906
+
+--S 907 of 3330
+r0000:=(-1/4)/(a^4*x^4)+4/3*b/(a^5*x^3)-5*b^2/(a^6*x^2)+20*b^3/(a^7*x)+_
+     1/3*b^4/(a^5*(a+b*x)^3)+5/2*b^4/(a^6*(a+b*x)^2)+15*b^4/(a^7*(a+b*x))+_
+     35*b^4*log(x)/a^8-35*b^4*log(a+b*x)/a^8
+--R 
+--R
+--R   (2)
+--R              7 7          6 6        2 5 5       3 4 4
+--R       (- 420b x  - 1260a b x  - 1260a b x  - 420a b x )log(b x + a)
+--R     + 
+--R            7 7          6 6        2 5 5       3 4 4                6 6
+--R       (420b x  + 1260a b x  + 1260a b x  + 420a b x )log(x) + 420a b x
+--R     + 
+--R            2 5 5       3 4 4       4 3 3      5 2 2     6        7
+--R       1050a b x  + 770a b x  + 105a b x  - 21a b x  + 7a b x - 3a
+--R  /
+--R        8 3 7      9 2 6      10   5      11 4
+--R     12a b x  + 36a b x  + 36a  b x  + 12a  x
+--R                                                    Type: Expression(Integer)
+--E 907
+
+--S 908 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              7 7          6 6        2 5 5       3 4 4
+--R       (- 420b x  - 1260a b x  - 1260a b x  - 420a b x )log(b x + a)
+--R     + 
+--R            7 7          6 6        2 5 5       3 4 4                6 6
+--R       (420b x  + 1260a b x  + 1260a b x  + 420a b x )log(x) + 420a b x
+--R     + 
+--R            2 5 5       3 4 4       4 3 3      5 2 2     6        7
+--R       1050a b x  + 770a b x  + 105a b x  - 21a b x  + 7a b x - 3a
+--R  /
+--R        8 3 7      9 2 6      10   5      11 4
+--R     12a b x  + 36a b x  + 36a  b x  + 12a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 908
+
+--S 909 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 909
+
+--S 910 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 910
+
+)clear all
+
+--S 911 of 3330
+t0000:=x^10/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       10
+--R                                      x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 911
+
+--S 912 of 3330
+r0000:=-84*a^3*x/b^10+14*a^2*x^2/b^9-7/3*a*x^3/b^8+1/4*x^4/b^7-_
+     1/6*a^10/(b^11*(a+b*x)^6)+2*a^9/(b^11*(a+b*x)^5)-_
+     45/4*a^8/(b^11*(a+b*x)^4)+40*a^7/(b^11*(a+b*x)^3)-_
+     105*a^6/(b^11*(a+b*x)^2)+252*a^5/(b^11*(a+b*x))+210*a^4*log(a+b*x)/b^11
+--R 
+--R
+--R   (2)
+--R                4 6 6         5 5 5         6 4 4         7 3 3         8 2 2
+--R           2520a b x  + 15120a b x  + 37800a b x  + 50400a b x  + 37800a b x
+--R         + 
+--R                 9           10
+--R           15120a b x + 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R         10 10        9 9      2 8 8       3 7 7        4 6 6        5 5 5
+--R       3b  x   - 10a b x  + 45a b x  - 360a b x  - 4043a b x  - 9138a b x
+--R     + 
+--R              6 4 4         7 3 3         8 2 2         9           10
+--R       - 3945a b x  + 11540a b x  + 18105a b x  + 10266a b x + 2131a
+--R  /
+--R          17 6        16 5       2 15 4       3 14 3       4 13 2      5 12
+--R       12b  x  + 72a b  x  + 180a b  x  + 240a b  x  + 180a b  x  + 72a b  x
+--R     + 
+--R          6 11
+--R       12a b
+--R                                                    Type: Expression(Integer)
+--E 912
+
+--S 913 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                4 6 6         5 5 5         6 4 4         7 3 3         8 2 2
+--R           2520a b x  + 15120a b x  + 37800a b x  + 50400a b x  + 37800a b x
+--R         + 
+--R                 9           10
+--R           15120a b x + 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R         10 10        9 9      2 8 8       3 7 7        4 6 6        5 5 5
+--R       3b  x   - 10a b x  + 45a b x  - 360a b x  - 4043a b x  - 9138a b x
+--R     + 
+--R              6 4 4         7 3 3         8 2 2         9           10
+--R       - 3945a b x  + 11540a b x  + 18105a b x  + 10266a b x + 2131a
+--R  /
+--R          17 6        16 5       2 15 4       3 14 3       4 13 2      5 12
+--R       12b  x  + 72a b  x  + 180a b  x  + 240a b  x  + 180a b  x  + 72a b  x
+--R     + 
+--R          6 11
+--R       12a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 913
+
+--S 914 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 914
+
+--S 915 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 915
+
+)clear all
+
+--S 916 of 3330
+t0000:=x^9/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       9
+--R                                      x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 916
+
+--S 917 of 3330
+r0000:=28*a^2*x/b^9-7/2*a*x^2/b^8+1/3*x^3/b^7+1/6*a^9/(b^10*(a+b*x)^6)-_
+     9/5*a^8/(b^10*(a+b*x)^5)+9*a^7/(b^10*(a+b*x)^4)-_
+     28*a^6/(b^10*(a+b*x)^3)+63*a^5/(b^10*(a+b*x)^2)-_
+     126*a^4/(b^10*(a+b*x))-84*a^3*log(a+b*x)/b^10
+--R 
+--R
+--R   (2)
+--R                  3 6 6         4 5 5         5 4 4         6 3 3         7 2 2
+--R           - 2520a b x  - 15120a b x  - 37800a b x  - 50400a b x  - 37800a b x
+--R         + 
+--R                   8           9
+--R           - 15120a b x - 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R          9 9        8 8       2 7 7        3 6 6        4 5 5        5 4 4
+--R       10b x  - 45a b x  + 360a b x  + 3665a b x  + 6870a b x  - 1725a b x
+--R     + 
+--R               6 3 3         7 2 2         8           9
+--R       - 19100a b x  - 23775a b x  - 12534a b x - 2509a
+--R  /
+--R          16 6         15 5       2 14 4       3 13 3       4 12 2       5 11
+--R       30b  x  + 180a b  x  + 450a b  x  + 600a b  x  + 450a b  x  + 180a b  x
+--R     + 
+--R          6 10
+--R       30a b
+--R                                                    Type: Expression(Integer)
+--E 917
+
+--S 918 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                  3 6 6         4 5 5         5 4 4         6 3 3         7 2 2
+--R           - 2520a b x  - 15120a b x  - 37800a b x  - 50400a b x  - 37800a b x
+--R         + 
+--R                   8           9
+--R           - 15120a b x - 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R          9 9        8 8       2 7 7        3 6 6        4 5 5        5 4 4
+--R       10b x  - 45a b x  + 360a b x  + 3665a b x  + 6870a b x  - 1725a b x
+--R     + 
+--R               6 3 3         7 2 2         8           9
+--R       - 19100a b x  - 23775a b x  - 12534a b x - 2509a
+--R  /
+--R          16 6         15 5       2 14 4       3 13 3       4 12 2       5 11
+--R       30b  x  + 180a b  x  + 450a b  x  + 600a b  x  + 450a b  x  + 180a b  x
+--R     + 
+--R          6 10
+--R       30a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 918
+
+--S 919 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 919
+
+--S 920 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 920
+
+)clear all
+
+--S 921 of 3330
+t0000:=x^8/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       8
+--R                                      x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 921
+
+--S 922 of 3330
+r0000:=-7*a*x/b^8+1/2*x^2/b^7-1/6*a^8/(b^9*(a+b*x)^6)+_
+     8/5*a^7/(b^9*(a+b*x)^5)-7*a^6/(b^9*(a+b*x)^4)+_
+     56/3*a^5/(b^9*(a+b*x)^3)-35*a^4/(b^9*(a+b*x)^2)+_
+     56*a^3/(b^9*(a+b*x))+28*a^2*log(a+b*x)/b^9
+--R 
+--R
+--R   (2)
+--R               2 6 6        3 5 5         4 4 4         5 3 3         6 2 2
+--R           840a b x  + 5040a b x  + 12600a b x  + 16800a b x  + 12600a b x
+--R         + 
+--R                7          8
+--R           5040a b x + 840a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R          8 8         7 7        2 6 6        3 5 5        4 4 4         5 3 3
+--R       15b x  - 120a b x  - 1035a b x  - 1170a b x  + 3375a b x  + 10100a b x
+--R     + 
+--R             6 2 2        7           8
+--R       10725a b x  + 5298a b x + 1023a
+--R  /
+--R          15 6         14 5       2 13 4       3 12 3       4 11 2       5 10
+--R       30b  x  + 180a b  x  + 450a b  x  + 600a b  x  + 450a b  x  + 180a b  x
+--R     + 
+--R          6 9
+--R       30a b
+--R                                                    Type: Expression(Integer)
+--E 922
+
+--S 923 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               2 6 6        3 5 5         4 4 4         5 3 3         6 2 2
+--R           840a b x  + 5040a b x  + 12600a b x  + 16800a b x  + 12600a b x
+--R         + 
+--R                7          8
+--R           5040a b x + 840a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R          8 8         7 7        2 6 6        3 5 5        4 4 4         5 3 3
+--R       15b x  - 120a b x  - 1035a b x  - 1170a b x  + 3375a b x  + 10100a b x
+--R     + 
+--R             6 2 2        7           8
+--R       10725a b x  + 5298a b x + 1023a
+--R  /
+--R          15 6         14 5       2 13 4       3 12 3       4 11 2       5 10
+--R       30b  x  + 180a b  x  + 450a b  x  + 600a b  x  + 450a b  x  + 180a b  x
+--R     + 
+--R          6 9
+--R       30a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 923
+
+--S 924 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 924
+
+--S 925 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 925
+
+)clear all
+
+--S 926 of 3330
+t0000:=x^7/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       7
+--R                                      x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 926
+
+--S 927 of 3330
+r0000:=x/b^7+1/6*a^7/(b^8*(a+b*x)^6)-7/5*a^6/(b^8*(a+b*x)^5)+_
+     21/4*a^5/(b^8*(a+b*x)^4)-35/3*a^4/(b^8*(a+b*x)^3)+_
+     35/2*a^3/(b^8*(a+b*x)^2)-21*a^2/(b^8*(a+b*x))-7*a*log(a+b*x)/b^8
+--R 
+--R
+--R   (2)
+--R                   6 6        2 5 5        3 4 4        4 3 3        5 2 2
+--R           - 420a b x  - 2520a b x  - 6300a b x  - 8400a b x  - 6300a b x
+--R         + 
+--R                  6          7
+--R           - 2520a b x - 420a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R          7 7         6 6       2 5 5        3 4 4        4 3 3        5 2 2
+--R       60b x  + 360a b x  - 360a b x  - 4050a b x  - 8200a b x  - 7725a b x
+--R     + 
+--R              6          7
+--R       - 3594a b x - 669a
+--R  /
+--R          14 6         13 5       2 12 4        3 11 3       4 10 2       5 9
+--R       60b  x  + 360a b  x  + 900a b  x  + 1200a b  x  + 900a b  x  + 360a b x
+--R     + 
+--R          6 8
+--R       60a b
+--R                                                    Type: Expression(Integer)
+--E 927
+
+--S 928 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                   6 6        2 5 5        3 4 4        4 3 3        5 2 2
+--R           - 420a b x  - 2520a b x  - 6300a b x  - 8400a b x  - 6300a b x
+--R         + 
+--R                  6          7
+--R           - 2520a b x - 420a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R          7 7         6 6       2 5 5        3 4 4        4 3 3        5 2 2
+--R       60b x  + 360a b x  - 360a b x  - 4050a b x  - 8200a b x  - 7725a b x
+--R     + 
+--R              6          7
+--R       - 3594a b x - 669a
+--R  /
+--R          14 6         13 5       2 12 4        3 11 3       4 10 2       5 9
+--R       60b  x  + 360a b  x  + 900a b  x  + 1200a b  x  + 900a b  x  + 360a b x
+--R     + 
+--R          6 8
+--R       60a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 928
+
+--S 929 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 929
+
+--S 930 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 930
+
+)clear all
+
+--S 931 of 3330
+t0000:=x^6/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       6
+--R                                      x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 931
+
+--S 932 of 3330
+r0000:=-1/6*a^6/(b^7*(a+b*x)^6)+6/5*a^5/(b^7*(a+b*x)^5)-_
+     15/4*a^4/(b^7*(a+b*x)^4)+20/3*a^3/(b^7*(a+b*x)^3)-_
+     15/2*a^2/(b^7*(a+b*x)^2)+6*a/(b^7*(a+b*x))+log(a+b*x)/b^7
+--R 
+--R
+--R   (2)
+--R              6 6         5 5       2 4 4        3 3 3       4 2 2       5
+--R           60b x  + 360a b x  + 900a b x  + 1200a b x  + 900a b x  + 360a b x
+--R         + 
+--R              6
+--R           60a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R             5 5        2 4 4        3 3 3        4 2 2       5          6
+--R       360a b x  + 1350a b x  + 2200a b x  + 1875a b x  + 822a b x + 147a
+--R  /
+--R          13 6         12 5       2 11 4        3 10 3       4 9 2       5 8
+--R       60b  x  + 360a b  x  + 900a b  x  + 1200a b  x  + 900a b x  + 360a b x
+--R     + 
+--R          6 7
+--R       60a b
+--R                                                    Type: Expression(Integer)
+--E 932
+
+--S 933 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              6 6         5 5       2 4 4        3 3 3       4 2 2       5
+--R           60b x  + 360a b x  + 900a b x  + 1200a b x  + 900a b x  + 360a b x
+--R         + 
+--R              6
+--R           60a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R             5 5        2 4 4        3 3 3        4 2 2       5          6
+--R       360a b x  + 1350a b x  + 2200a b x  + 1875a b x  + 822a b x + 147a
+--R  /
+--R          13 6         12 5       2 11 4        3 10 3       4 9 2       5 8
+--R       60b  x  + 360a b  x  + 900a b  x  + 1200a b  x  + 900a b x  + 360a b x
+--R     + 
+--R          6 7
+--R       60a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 933
+
+--S 934 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 934
+
+--S 935 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 935
+
+)clear all
+
+--S 936 of 3330
+t0000:=x^5/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       5
+--R                                      x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 936
+
+--S 937 of 3330
+r0000:=1/6*x^6/(a*(a+b*x)^6)
+--R 
+--R
+--R                                      1  6
+--R                                      - x
+--R                                      6
+--R   (2)  ---------------------------------------------------------------
+--R           6 6     2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R        a b x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a b x + a
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 937
+
+--S 938 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                5 5        4 4      2 3 3      3 2 2     4       5
+--R            - 6b x  - 15a b x  - 20a b x  - 15a b x  - 6a b x - a
+--R   -----------------------------------------------------------------------
+--R     12 6        11 5      2 10 4       3 9 3      4 8 2      5 7      6 6
+--R   6b  x  + 36a b  x  + 90a b  x  + 120a b x  + 90a b x  + 36a b x + 6a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 938
+
+--S 939 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            1
+--R   (4)  - -----
+--R              6
+--R          6a b
+--R                                                    Type: Expression(Integer)
+--E 939
+
+--S 940 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 940
+
+)clear all
+
+--S 941 of 3330
+t0000:=x^4/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       4
+--R                                      x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 941
+
+--S 942 of 3330
+r0000:=1/6*x^5/(a*(a+b*x)^6)+1/30*x^5/(a^2*(a+b*x)^5)
+--R 
+--R
+--R                                 1    6   1    5
+--R                                -- b x  + - a x
+--R                                30        5
+--R   (2)  ---------------------------------------------------------------
+--R         2 6 6     3 5 5      4 4 4      5 3 3      6 2 2     7       8
+--R        a b x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a b x + a
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 942
+
+--S 943 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                        4 4        3 3      2 2 2     3       4
+--R                   - 15b x  - 20a b x  - 15a b x  - 6a b x - a
+--R   ----------------------------------------------------------------------------
+--R      11 6         10 5       2 9 4       3 8 3       4 7 2       5 6       6 5
+--R   30b  x  + 180a b  x  + 450a b x  + 600a b x  + 450a b x  + 180a b x + 30a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 943
+
+--S 944 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R             1
+--R   (4)  - ------
+--R             2 5
+--R          30a b
+--R                                                    Type: Expression(Integer)
+--E 944
+
+--S 945 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 945
+
+)clear all
+
+--S 946 of 3330
+t0000:=x^3/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       3
+--R                                      x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 946
+
+--S 947 of 3330
+r0000:=1/6*x^4/(a*(a+b*x)^6)+1/15*x^4/(a^2*(a+b*x)^5)+_
+     1/60*x^4/(a^3*(a+b*x)^4),1/6*a^3/(b^4*(a+b*x)^6)-_
+     3/5*a^2/(b^4*(a+b*x)^5)+3/4*a/(b^4*(a+b*x)^4)+(-1/3)/(b^4*(a+b*x)^3)
+--R 
+--R
+--R   (2)
+--R                       1  2 6    1      5   1  2 4
+--R                      -- b x  + -- a b x  + - a x
+--R                      60        10          4
+--R   [---------------------------------------------------------------,
+--R     3 6 6     4 5 5      5 4 4      6 3 3      7 2 2     8       9
+--R    a b x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a b x + a
+--R                   1  3 3   1    2 2    1  2       1  3
+--R                 - - b x  - - a b x  - -- a b x - -- a
+--R                   3        4          10         60
+--R    ----------------------------------------------------------------]
+--R     10 6       9 5      2 8 4      3 7 3      4 6 2     5 5     6 4
+--R    b  x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a b x + a b
+--R                         Type: Tuple(Fraction(Polynomial(Fraction(Integer))))
+--E 947
+
+--S 948 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                              3 3        2 2     2       3
+--R                         - 20b x  - 15a b x  - 6a b x - a
+--R   ----------------------------------------------------------------------------
+--R      10 6         9 5       2 8 4        3 7 3       4 6 2       5 5       6 4
+--R   60b  x  + 360a b x  + 900a b x  + 1200a b x  + 900a b x  + 360a b x + 60a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 948
+
+--S 949 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R             1
+--R   (4)  - ------
+--R             3 4
+--R          60a b
+--R                                                    Type: Expression(Integer)
+--E 949
+
+--S 950 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 950
+
+)clear all
+
+--S 951 of 3330
+t0000:=x^2/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       2
+--R                                      x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 951
+
+--S 952 of 3330
+r0000:=-1/6*a^2/(b^3*(a+b*x)^6)+2/5*a/(b^3*(a+b*x)^5)+(-1/4)/(b^3*(a+b*x)^4)
+--R 
+--R
+--R                            1  2 2    1          1  2
+--R                          - - b x  - -- a b x - -- a
+--R                            4        10         60
+--R   (2)  ---------------------------------------------------------------
+--R         9 6       8 5      2 7 4      3 6 3      4 5 2     5 4     6 3
+--R        b x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 952
+
+--S 953 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                                   2 2             2
+--R                              - 15b x  - 6a b x - a
+--R   ---------------------------------------------------------------------------
+--R      9 6         8 5       2 7 4        3 6 3       4 5 2       5 4       6 3
+--R   60b x  + 360a b x  + 900a b x  + 1200a b x  + 900a b x  + 360a b x + 60a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 953
+
+--S 954 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 954
+
+--S 955 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 955
+
+)clear all
+
+--S 956 of 3330
+t0000:=x/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       x
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 956
+
+--S 957 of 3330
+r0000:=1/6*a/(b^2*(a+b*x)^6)+(-1/5)/(b^2*(a+b*x)^5)
+--R 
+--R
+--R                                   1        1
+--R                                 - - b x - -- a
+--R                                   5       30
+--R   (2)  ---------------------------------------------------------------
+--R         8 6       7 5      2 6 4      3 5 3      4 4 2     5 3     6 2
+--R        b x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 957
+
+--S 958 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                                   - 6b x - a
+--R   --------------------------------------------------------------------------
+--R      8 6         7 5       2 6 4       3 5 3       4 4 2       5 3       6 2
+--R   30b x  + 180a b x  + 450a b x  + 600a b x  + 450a b x  + 180a b x + 30a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 958
+
+--S 959 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 959
+
+--S 960 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 960
+
+)clear all
+
+--S 961 of 3330
+t0000:=1/(a+b*x)^7
+--R 
+--R
+--R   (1)
+--R                                       1
+--R   ------------------------------------------------------------------------
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 961
+
+--S 962 of 3330
+r0000:=(-1/6)/(b*(a+b*x)^6)
+--R 
+--R
+--R                                         1
+--R                                         -
+--R                                         6
+--R   (2)  - --------------------------------------------------------------
+--R           7 6       6 5      2 5 4      3 4 3      4 3 2     5 2     6
+--R          b x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 962
+
+--S 963 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                                           1
+--R   (3)  - -------------------------------------------------------------------
+--R            7 6        6 5      2 5 4       3 4 3      4 3 2      5 2      6
+--R          6b x  + 36a b x  + 90a b x  + 120a b x  + 90a b x  + 36a b x + 6a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 963
+
+--S 964 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 964
+
+--S 965 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 965
+
+)clear all
+
+--S 966 of 3330
+t0000:=1/(x*(a+b*x)^7)
+--R 
+--R
+--R   (1)
+--R                                        1
+--R   --------------------------------------------------------------------------
+--R    7 8       6 7      2 5 6      3 4 5      4 3 4      5 2 3     6   2    7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 966
+
+--S 967 of 3330
+r0000:=1/6/(a*(a+b*x)^6)+1/5/(a^2*(a+b*x)^5)+1/4/(a^3*(a+b*x)^4)+_
+     1/3/(a^4*(a+b*x)^3)+1/2/(a^5*(a+b*x)^2)+1/(a^6*(a+b*x))+_
+     log(x)/a^7-log(a+b*x)/a^7
+--R 
+--R
+--R   (2)
+--R                6 6         5 5       2 4 4        3 3 3       4 2 2       5
+--R           - 60b x  - 360a b x  - 900a b x  - 1200a b x  - 900a b x  - 360a b x
+--R         + 
+--R                6
+--R           - 60a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R              6 6         5 5       2 4 4        3 3 3       4 2 2       5
+--R           60b x  + 360a b x  + 900a b x  + 1200a b x  + 900a b x  + 360a b x
+--R         + 
+--R              6
+--R           60a
+--R      *
+--R         log(x)
+--R     + 
+--R            5 5       2 4 4       3 3 3       4 2 2       5          6
+--R       60a b x  + 330a b x  + 740a b x  + 855a b x  + 522a b x + 147a
+--R  /
+--R          7 6 6       8 5 5       9 4 4        10 3 3       11 2 2       12
+--R       60a b x  + 360a b x  + 900a b x  + 1200a  b x  + 900a  b x  + 360a  b x
+--R     + 
+--R          13
+--R       60a
+--R                                                    Type: Expression(Integer)
+--E 967
+
+--S 968 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                6 6         5 5       2 4 4        3 3 3       4 2 2       5
+--R           - 60b x  - 360a b x  - 900a b x  - 1200a b x  - 900a b x  - 360a b x
+--R         + 
+--R                6
+--R           - 60a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R              6 6         5 5       2 4 4        3 3 3       4 2 2       5
+--R           60b x  + 360a b x  + 900a b x  + 1200a b x  + 900a b x  + 360a b x
+--R         + 
+--R              6
+--R           60a
+--R      *
+--R         log(x)
+--R     + 
+--R            5 5       2 4 4       3 3 3       4 2 2       5          6
+--R       60a b x  + 330a b x  + 740a b x  + 855a b x  + 522a b x + 147a
+--R  /
+--R          7 6 6       8 5 5       9 4 4        10 3 3       11 2 2       12
+--R       60a b x  + 360a b x  + 900a b x  + 1200a  b x  + 900a  b x  + 360a  b x
+--R     + 
+--R          13
+--R       60a
+--R                                         Type: Union(Expression(Integer),...)
+--E 968
+
+--S 969 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 969
+
+--S 970 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 970
+
+)clear all
+
+--S 971 of 3330
+t0000:=1/(x^2*(a+b*x)^7)
+--R 
+--R
+--R   (1)
+--R                                        1
+--R   ---------------------------------------------------------------------------
+--R    7 9       6 8      2 5 7      3 4 6      4 3 5      5 2 4     6   3    7 2
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 971
+
+--S 972 of 3330
+r0000:=(-1)/(a^7*x)-1/6*b/(a^2*(a+b*x)^6)-2/5*b/(a^3*(a+b*x)^5)-_
+     3/4*b/(a^4*(a+b*x)^4)-4/3*b/(a^5*(a+b*x)^3)-5/2*b/(a^6*(a+b*x)^2)-_
+     6*b/(a^7*(a+b*x))-7*b*log(x)/a^8+7*b*log(a+b*x)/a^8
+--R 
+--R
+--R   (2)
+--R               7 7          6 6        2 5 5        3 4 4        4 3 3
+--R           420b x  + 2520a b x  + 6300a b x  + 8400a b x  + 6300a b x
+--R         + 
+--R                5 2 2       6
+--R           2520a b x  + 420a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                 7 7          6 6        2 5 5        3 4 4        4 3 3
+--R           - 420b x  - 2520a b x  - 6300a b x  - 8400a b x  - 6300a b x
+--R         + 
+--R                  5 2 2       6
+--R           - 2520a b x  - 420a b x
+--R      *
+--R         log(x)
+--R     + 
+--R               6 6        2 5 5        3 4 4        4 3 3        5 2 2
+--R       - 420a b x  - 2310a b x  - 5180a b x  - 5985a b x  - 3654a b x
+--R     + 
+--R              6         7
+--R       - 1029a b x - 60a
+--R  /
+--R          8 6 7       9 5 6       10 4 5        11 3 4       12 2 3       13   2
+--R       60a b x  + 360a b x  + 900a  b x  + 1200a  b x  + 900a  b x  + 360a  b x
+--R     + 
+--R          14
+--R       60a  x
+--R                                                    Type: Expression(Integer)
+--E 972
+
+--S 973 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               7 7          6 6        2 5 5        3 4 4        4 3 3
+--R           420b x  + 2520a b x  + 6300a b x  + 8400a b x  + 6300a b x
+--R         + 
+--R                5 2 2       6
+--R           2520a b x  + 420a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                 7 7          6 6        2 5 5        3 4 4        4 3 3
+--R           - 420b x  - 2520a b x  - 6300a b x  - 8400a b x  - 6300a b x
+--R         + 
+--R                  5 2 2       6
+--R           - 2520a b x  - 420a b x
+--R      *
+--R         log(x)
+--R     + 
+--R               6 6        2 5 5        3 4 4        4 3 3        5 2 2
+--R       - 420a b x  - 2310a b x  - 5180a b x  - 5985a b x  - 3654a b x
+--R     + 
+--R              6         7
+--R       - 1029a b x - 60a
+--R  /
+--R          8 6 7       9 5 6       10 4 5        11 3 4       12 2 3       13   2
+--R       60a b x  + 360a b x  + 900a  b x  + 1200a  b x  + 900a  b x  + 360a  b x
+--R     + 
+--R          14
+--R       60a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 973
+
+--S 974 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 974
+
+--S 975 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 975
+
+)clear all
+
+--S 976 of 3330
+t0000:=1/(x^3*(a+b*x)^7)
+--R 
+--R
+--R   (1)
+--R                                         1
+--R   ----------------------------------------------------------------------------
+--R    7 10       6 9      2 5 8      3 4 7      4 3 6      5 2 5     6   4    7 3
+--R   b x   + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 976
+
+--S 977 of 3330
+r0000:=(-1/2)/(a^7*x^2)+7*b/(a^8*x)+1/6*b^2/(a^3*(a+b*x)^6)+_
+     3/5*b^2/(a^4*(a+b*x)^5)+3/2*b^2/(a^5*(a+b*x)^4)+_
+     10/3*b^2/(a^6*(a+b*x)^3)+15/2*b^2/(a^7*(a+b*x)^2)+_
+     21*b^2/(a^8*(a+b*x))+28*b^2*log(x)/a^9-28*b^2*log(a+b*x)/a^9
+--R 
+--R
+--R   (2)
+--R                 8 8          7 7         2 6 6         3 5 5         4 4 4
+--R           - 840b x  - 5040a b x  - 12600a b x  - 16800a b x  - 12600a b x
+--R         + 
+--R                  5 3 3       6 2 2
+--R           - 5040a b x  - 840a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R               8 8          7 7         2 6 6         3 5 5         4 4 4
+--R           840b x  + 5040a b x  + 12600a b x  + 16800a b x  + 12600a b x
+--R         + 
+--R                5 3 3       6 2 2
+--R           5040a b x  + 840a b x
+--R      *
+--R         log(x)
+--R     + 
+--R             7 7        2 6 6         3 5 5         4 4 4        5 3 3
+--R       840a b x  + 4620a b x  + 10360a b x  + 11970a b x  + 7308a b x
+--R     + 
+--R            6 2 2       7         8
+--R       2058a b x  + 120a b x - 15a
+--R  /
+--R          9 6 8       10 5 7       11 4 6       12 3 5       13 2 4       14   3
+--R       30a b x  + 180a  b x  + 450a  b x  + 600a  b x  + 450a  b x  + 180a  b x
+--R     + 
+--R          15 2
+--R       30a  x
+--R                                                    Type: Expression(Integer)
+--E 977
+
+--S 978 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                 8 8          7 7         2 6 6         3 5 5         4 4 4
+--R           - 840b x  - 5040a b x  - 12600a b x  - 16800a b x  - 12600a b x
+--R         + 
+--R                  5 3 3       6 2 2
+--R           - 5040a b x  - 840a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R               8 8          7 7         2 6 6         3 5 5         4 4 4
+--R           840b x  + 5040a b x  + 12600a b x  + 16800a b x  + 12600a b x
+--R         + 
+--R                5 3 3       6 2 2
+--R           5040a b x  + 840a b x
+--R      *
+--R         log(x)
+--R     + 
+--R             7 7        2 6 6         3 5 5         4 4 4        5 3 3
+--R       840a b x  + 4620a b x  + 10360a b x  + 11970a b x  + 7308a b x
+--R     + 
+--R            6 2 2       7         8
+--R       2058a b x  + 120a b x - 15a
+--R  /
+--R          9 6 8       10 5 7       11 4 6       12 3 5       13 2 4       14   3
+--R       30a b x  + 180a  b x  + 450a  b x  + 600a  b x  + 450a  b x  + 180a  b x
+--R     + 
+--R          15 2
+--R       30a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 978
+
+--S 979 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 979
+
+--S 980 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 980
+
+)clear all
+
+--S 981 of 3330
+t0000:=1/(x^4*(a+b*x)^7)
+--R 
+--R
+--R   (1)
+--R                                         1
+--R   -----------------------------------------------------------------------------
+--R    7 11       6 10      2 5 9      3 4 8      4 3 7      5 2 6     6   5    7 4
+--R   b x   + 7a b x   + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x  + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 981
+
+--S 982 of 3330
+r0000:=(-1/3)/(a^7*x^3)+7/2*b/(a^8*x^2)-28*b^2/(a^9*x)-_
+     1/6*b^3/(a^4*(a+b*x)^6)-4/5*b^3/(a^5*(a+b*x)^5)-_
+     5/2*b^3/(a^6*(a+b*x)^4)-20/3*b^3/(a^7*(a+b*x)^3)-_
+     35/2*b^3/(a^8*(a+b*x)^2)-56*b^3/(a^9*(a+b*x))-_
+     84*b^3*log(x)/a^10+84*b^3*log(a+b*x)/a^10
+--R 
+--R
+--R   (2)
+--R                9 9           8 8         2 7 7         3 6 6         4 5 5
+--R           2520b x  + 15120a b x  + 37800a b x  + 50400a b x  + 37800a b x
+--R         + 
+--R                 5 4 4        6 3 3
+--R           15120a b x  + 2520a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                  9 9           8 8         2 7 7         3 6 6         4 5 5
+--R           - 2520b x  - 15120a b x  - 37800a b x  - 50400a b x  - 37800a b x
+--R         + 
+--R                   5 4 4        6 3 3
+--R           - 15120a b x  - 2520a b x
+--R      *
+--R         log(x)
+--R     + 
+--R                8 8         2 7 7         3 6 6         4 5 5         5 4 4
+--R       - 2520a b x  - 13860a b x  - 31080a b x  - 35910a b x  - 21924a b x
+--R     + 
+--R              6 3 3       7 2 2      8         9
+--R       - 6174a b x  - 360a b x  + 45a b x - 10a
+--R  /
+--R          10 6 9       11 5 8       12 4 7       13 3 6       14 2 5
+--R       30a  b x  + 180a  b x  + 450a  b x  + 600a  b x  + 450a  b x
+--R     + 
+--R           15   4      16 3
+--R       180a  b x  + 30a  x
+--R                                                    Type: Expression(Integer)
+--E 982
+
+--S 983 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                9 9           8 8         2 7 7         3 6 6         4 5 5
+--R           2520b x  + 15120a b x  + 37800a b x  + 50400a b x  + 37800a b x
+--R         + 
+--R                 5 4 4        6 3 3
+--R           15120a b x  + 2520a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                  9 9           8 8         2 7 7         3 6 6         4 5 5
+--R           - 2520b x  - 15120a b x  - 37800a b x  - 50400a b x  - 37800a b x
+--R         + 
+--R                   5 4 4        6 3 3
+--R           - 15120a b x  - 2520a b x
+--R      *
+--R         log(x)
+--R     + 
+--R                8 8         2 7 7         3 6 6         4 5 5         5 4 4
+--R       - 2520a b x  - 13860a b x  - 31080a b x  - 35910a b x  - 21924a b x
+--R     + 
+--R              6 3 3       7 2 2      8         9
+--R       - 6174a b x  - 360a b x  + 45a b x - 10a
+--R  /
+--R          10 6 9       11 5 8       12 4 7       13 3 6       14 2 5
+--R       30a  b x  + 180a  b x  + 450a  b x  + 600a  b x  + 450a  b x
+--R     + 
+--R           15   4      16 3
+--R       180a  b x  + 30a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 983
+
+--S 984 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 984
+
+--S 985 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 985
+
+)clear all
+
+--S 986 of 3330
+t0000:=x^12/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      12
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 986
+
+--S 987 of 3330
+r0000:=55*a^2*x/b^12-5*a*x^2/b^11+1/3*x^3/b^10-1/9*a^12/(b^13*(a+b*x)^9)+_
+     3/2*a^11/(b^13*(a+b*x)^8)-66/7*a^10/(b^13*(a+b*x)^7)+_
+     110/3*a^9/(b^13*(a+b*x)^6)-99*a^8/(b^13*(a+b*x)^5)+_
+     198*a^7/(b^13*(a+b*x)^4)-308*a^6/(b^13*(a+b*x)^3)+_
+     396*a^5/(b^13*(a+b*x)^2)-495*a^4/(b^13*(a+b*x))-220*a^3*log(a+b*x)/b^13
+--R 
+--R
+--R   (2)
+--R                   3 9 9          4 8 8          5 7 7           6 6 6
+--R           - 27720a b x  - 249480a b x  - 997920a b x  - 2328480a b x
+--R         + 
+--R                     7 5 5           8 4 4           9 3 3          10 2 2
+--R           - 3492720a b x  - 3492720a b x  - 2328480a b x  - 997920a  b x
+--R         + 
+--R                    11            12
+--R           - 249480a  b x - 27720a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R          12 12         11 11        2 10 10         3 9 9          4 8 8
+--R       42b  x   - 252a b  x   + 2772a b  x   + 43218a b x  + 139482a b x
+--R     + 
+--R             5 7 7          6 6 6           7 5 5           8 4 4
+--R       58968a b x  - 638568a b x  - 1831032a b x  - 2529576a b x
+--R     + 
+--R                 9 3 3           10 2 2          11            12
+--R       - 2074464a b x  - 1031616a  b x  - 289089a  b x - 35201a
+--R  /
+--R           22 9          21 8        2 20 7         3 19 6         4 18 5
+--R       126b  x  + 1134a b  x  + 4536a b  x  + 10584a b  x  + 15876a b  x
+--R     + 
+--R             5 17 4         6 16 3        7 15 2        8 14        9 13
+--R       15876a b  x  + 10584a b  x  + 4536a b  x  + 1134a b  x + 126a b
+--R                                                    Type: Expression(Integer)
+--E 987
+
+--S 988 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                   3 9 9          4 8 8          5 7 7           6 6 6
+--R           - 27720a b x  - 249480a b x  - 997920a b x  - 2328480a b x
+--R         + 
+--R                     7 5 5           8 4 4           9 3 3          10 2 2
+--R           - 3492720a b x  - 3492720a b x  - 2328480a b x  - 997920a  b x
+--R         + 
+--R                    11            12
+--R           - 249480a  b x - 27720a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R          12 12         11 11        2 10 10         3 9 9          4 8 8
+--R       42b  x   - 252a b  x   + 2772a b  x   + 43218a b x  + 139482a b x
+--R     + 
+--R             5 7 7          6 6 6           7 5 5           8 4 4
+--R       58968a b x  - 638568a b x  - 1831032a b x  - 2529576a b x
+--R     + 
+--R                 9 3 3           10 2 2          11            12
+--R       - 2074464a b x  - 1031616a  b x  - 289089a  b x - 35201a
+--R  /
+--R           22 9          21 8        2 20 7         3 19 6         4 18 5
+--R       126b  x  + 1134a b  x  + 4536a b  x  + 10584a b  x  + 15876a b  x
+--R     + 
+--R             5 17 4         6 16 3        7 15 2        8 14        9 13
+--R       15876a b  x  + 10584a b  x  + 4536a b  x  + 1134a b  x + 126a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 988
+
+--S 989 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 989
+
+--S 990 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 990
+
+)clear all
+
+--S 991 of 3330
+t0000:=x^11/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      11
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 991
+
+--S 992 of 3330
+r0000:=-10*a*x/b^11+1/2*x^2/b^10+1/9*a^11/(b^12*(a+b*x)^9)-_
+     11/8*a^10/(b^12*(a+b*x)^8)+55/7*a^9/(b^12*(a+b*x)^7)-_
+     55/2*a^8/(b^12*(a+b*x)^6)+66*a^7/(b^12*(a+b*x)^5)-_
+     231/2*a^6/(b^12*(a+b*x)^4)+154*a^5/(b^12*(a+b*x)^3)-_
+     165*a^4/(b^12*(a+b*x)^2)+165*a^3/(b^12*(a+b*x))+55*a^2*log(a+b*x)/b^12
+--R 
+--R
+--R   (2)
+--R                 2 9 9          3 8 8          4 7 7           5 6 6
+--R           27720a b x  + 249480a b x  + 997920a b x  + 2328480a b x
+--R         + 
+--R                   6 5 5           7 4 4           8 3 3          9 2 2
+--R           3492720a b x  + 3492720a b x  + 2328480a b x  + 997920a b x
+--R         + 
+--R                  10            11
+--R           249480a  b x + 27720a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R           11 11          10 10         2 9 9         3 8 8          4 7 7
+--R       252b  x   - 2772a b  x   - 36288a b x  - 77112a b x  + 190512a b x
+--R     + 
+--R               5 6 6           6 5 5           7 4 4           8 3 3
+--R       1220688a b x  + 2704212a b x  + 3402756a b x  + 2656584a b x
+--R     + 
+--R               9 2 2          10            11
+--R       1281096a b x  + 351459a  b x + 42131a
+--R  /
+--R           21 9          20 8         2 19 7         3 18 6         4 17 5
+--R       504b  x  + 4536a b  x  + 18144a b  x  + 42336a b  x  + 63504a b  x
+--R     + 
+--R             5 16 4         6 15 3         7 14 2        8 13        9 12
+--R       63504a b  x  + 42336a b  x  + 18144a b  x  + 4536a b  x + 504a b
+--R                                                    Type: Expression(Integer)
+--E 992
+
+--S 993 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                 2 9 9          3 8 8          4 7 7           5 6 6
+--R           27720a b x  + 249480a b x  + 997920a b x  + 2328480a b x
+--R         + 
+--R                   6 5 5           7 4 4           8 3 3          9 2 2
+--R           3492720a b x  + 3492720a b x  + 2328480a b x  + 997920a b x
+--R         + 
+--R                  10            11
+--R           249480a  b x + 27720a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R           11 11          10 10         2 9 9         3 8 8          4 7 7
+--R       252b  x   - 2772a b  x   - 36288a b x  - 77112a b x  + 190512a b x
+--R     + 
+--R               5 6 6           6 5 5           7 4 4           8 3 3
+--R       1220688a b x  + 2704212a b x  + 3402756a b x  + 2656584a b x
+--R     + 
+--R               9 2 2          10            11
+--R       1281096a b x  + 351459a  b x + 42131a
+--R  /
+--R           21 9          20 8         2 19 7         3 18 6         4 17 5
+--R       504b  x  + 4536a b  x  + 18144a b  x  + 42336a b  x  + 63504a b  x
+--R     + 
+--R             5 16 4         6 15 3         7 14 2        8 13        9 12
+--R       63504a b  x  + 42336a b  x  + 18144a b  x  + 4536a b  x + 504a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 993
+
+--S 994 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 994
+
+--S 995 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 995
+
+)clear all
+
+--S 996 of 3330
+t0000:=x^10/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      10
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 996
+
+--S 997 of 3330
+r0000:=x/b^10-1/9*a^10/(b^11*(a+b*x)^9)+5/4*a^9/(b^11*(a+b*x)^8)-_
+     45/7*a^8/(b^11*(a+b*x)^7)+20*a^7/(b^11*(a+b*x)^6)-_
+     42*a^6/(b^11*(a+b*x)^5)+63*a^5/(b^11*(a+b*x)^4)-_
+     70*a^4/(b^11*(a+b*x)^3)+60*a^3/(b^11*(a+b*x)^2)-_
+     45*a^2/(b^11*(a+b*x))-10*a*log(a+b*x)/b^11
+--R 
+--R
+--R   (2)
+--R                    9 9         2 8 8         3 7 7          4 6 6
+--R           - 2520a b x  - 22680a b x  - 90720a b x  - 211680a b x
+--R         + 
+--R                    5 5 5          6 4 4          7 3 3         8 2 2
+--R           - 317520a b x  - 317520a b x  - 211680a b x  - 90720a b x
+--R         + 
+--R                   9           10
+--R           - 22680a b x - 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R           10 10          9 9        2 8 8         3 7 7          4 6 6
+--R       252b  x   + 2268a b x  - 2268a b x  - 54432a b x  - 197568a b x
+--R     + 
+--R                5 5 5          6 4 4          7 3 3          8 2 2         9
+--R       - 375732a b x  - 439236a b x  - 328104a b x  - 153576a b x  - 41229a b x
+--R     + 
+--R              10
+--R       - 4861a
+--R  /
+--R           20 9          19 8        2 18 7         3 17 6         4 16 5
+--R       252b  x  + 2268a b  x  + 9072a b  x  + 21168a b  x  + 31752a b  x
+--R     + 
+--R             5 15 4         6 14 3        7 13 2        8 12        9 11
+--R       31752a b  x  + 21168a b  x  + 9072a b  x  + 2268a b  x + 252a b
+--R                                                    Type: Expression(Integer)
+--E 997
+
+--S 998 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                    9 9         2 8 8         3 7 7          4 6 6
+--R           - 2520a b x  - 22680a b x  - 90720a b x  - 211680a b x
+--R         + 
+--R                    5 5 5          6 4 4          7 3 3         8 2 2
+--R           - 317520a b x  - 317520a b x  - 211680a b x  - 90720a b x
+--R         + 
+--R                   9           10
+--R           - 22680a b x - 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R           10 10          9 9        2 8 8         3 7 7          4 6 6
+--R       252b  x   + 2268a b x  - 2268a b x  - 54432a b x  - 197568a b x
+--R     + 
+--R                5 5 5          6 4 4          7 3 3          8 2 2         9
+--R       - 375732a b x  - 439236a b x  - 328104a b x  - 153576a b x  - 41229a b x
+--R     + 
+--R              10
+--R       - 4861a
+--R  /
+--R           20 9          19 8        2 18 7         3 17 6         4 16 5
+--R       252b  x  + 2268a b  x  + 9072a b  x  + 21168a b  x  + 31752a b  x
+--R     + 
+--R             5 15 4         6 14 3        7 13 2        8 12        9 11
+--R       31752a b  x  + 21168a b  x  + 9072a b  x  + 2268a b  x + 252a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 998
+
+--S 999 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 999
+
+--S 1000 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1000
+
+)clear all
+
+--S 1001 of 3330
+t0000:=x^9/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      9
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1001
+
+--S 1002 of 3330
+r0000:=1/9*a^9/(b^10*(a+b*x)^9)-9/8*a^8/(b^10*(a+b*x)^8)+_
+     36/7*a^7/(b^10*(a+b*x)^7)-14*a^6/(b^10*(a+b*x)^6)+_
+     126/5*a^5/(b^10*(a+b*x)^5)-63/2*a^4/(b^10*(a+b*x)^4)+_
+     28*a^3/(b^10*(a+b*x)^3)-18*a^2/(b^10*(a+b*x)^2)+_
+     9*a/(b^10*(a+b*x))+log(a+b*x)/b^10
+--R 
+--R
+--R   (2)
+--R                9 9           8 8         2 7 7          3 6 6          4 5 5
+--R           2520b x  + 22680a b x  + 90720a b x  + 211680a b x  + 317520a b x
+--R         + 
+--R                  5 4 4          6 3 3         7 2 2         8           9
+--R           317520a b x  + 211680a b x  + 90720a b x  + 22680a b x + 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R               8 8          2 7 7          3 6 6          4 5 5          5 4 4
+--R       22680a b x  + 136080a b x  + 388080a b x  + 661500a b x  + 725004a b x
+--R     + 
+--R              6 3 3          7 2 2         8           9
+--R       518616a b x  + 235224a b x  + 61641a b x + 7129a
+--R  /
+--R            19 9           18 8         2 17 7          3 16 6          4 15 5
+--R       2520b  x  + 22680a b  x  + 90720a b  x  + 211680a b  x  + 317520a b  x
+--R     + 
+--R              5 14 4          6 13 3         7 12 2         8 11         9 10
+--R       317520a b  x  + 211680a b  x  + 90720a b  x  + 22680a b  x + 2520a b
+--R                                                    Type: Expression(Integer)
+--E 1002
+
+--S 1003 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                9 9           8 8         2 7 7          3 6 6          4 5 5
+--R           2520b x  + 22680a b x  + 90720a b x  + 211680a b x  + 317520a b x
+--R         + 
+--R                  5 4 4          6 3 3         7 2 2         8           9
+--R           317520a b x  + 211680a b x  + 90720a b x  + 22680a b x + 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R               8 8          2 7 7          3 6 6          4 5 5          5 4 4
+--R       22680a b x  + 136080a b x  + 388080a b x  + 661500a b x  + 725004a b x
+--R     + 
+--R              6 3 3          7 2 2         8           9
+--R       518616a b x  + 235224a b x  + 61641a b x + 7129a
+--R  /
+--R            19 9           18 8         2 17 7          3 16 6          4 15 5
+--R       2520b  x  + 22680a b  x  + 90720a b  x  + 211680a b  x  + 317520a b  x
+--R     + 
+--R              5 14 4          6 13 3         7 12 2         8 11         9 10
+--R       317520a b  x  + 211680a b  x  + 90720a b  x  + 22680a b  x + 2520a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1003
+
+--S 1004 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1004
+
+--S 1005 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1005
+
+)clear all
+
+--S 1006 of 3330
+t0000:=x^8/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      8
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1006
+
+--S 1007 of 3330
+r0000:=1/9*x^9/(a*(a+b*x)^9)
+--R 
+--R
+--R   (2)
+--R     1  9
+--R     - x
+--R     9
+--R  /
+--R          9 9     2 8 8      3 7 7      4 6 6       5 5 5       6 4 4      7 3 3
+--R       a b x  + 9a b x  + 36a b x  + 84a b x  + 126a b x  + 126a b x  + 84a b x
+--R     + 
+--R          8 2 2     9       10
+--R       36a b x  + 9a b x + a
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1007
+
+--S 1008 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           8 8        7 7      2 6 6       3 5 5       4 4 4      5 3 3
+--R       - 9b x  - 36a b x  - 84a b x  - 126a b x  - 126a b x  - 84a b x
+--R     + 
+--R            6 2 2     7       8
+--R       - 36a b x  - 9a b x - a
+--R  /
+--R         18 9        17 8       2 16 7       3 15 6        4 14 5        5 13 4
+--R       9b  x  + 81a b  x  + 324a b  x  + 756a b  x  + 1134a b  x  + 1134a b  x
+--R     + 
+--R           6 12 3       7 11 2      8 10      9 9
+--R       756a b  x  + 324a b  x  + 81a b  x + 9a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1008
+
+--S 1009 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            1
+--R   (4)  - -----
+--R              9
+--R          9a b
+--R                                                    Type: Expression(Integer)
+--E 1009
+
+--S 1010 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1010
+
+)clear all
+
+--S 1011 of 3330
+t0000:=x^7/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      7
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1011
+
+--S 1012 of 3330
+r0000:=1/9*x^8/(a*(a+b*x)^9)+1/72*x^8/(a^2*(a+b*x)^8)
+--R 
+--R
+--R   (2)
+--R      1    9   1    8
+--R     -- b x  + - a x
+--R     72        8
+--R  /
+--R        2 9 9     3 8 8      4 7 7      5 6 6       6 5 5       7 4 4      8 3 3
+--R       a b x  + 9a b x  + 36a b x  + 84a b x  + 126a b x  + 126a b x  + 84a b x
+--R     + 
+--R          9 2 2     10       11
+--R       36a b x  + 9a  b x + a
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1012
+
+--S 1013 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            7 7        6 6       2 5 5       3 4 4      4 3 3      5 2 2
+--R       - 36b x  - 84a b x  - 126a b x  - 126a b x  - 84a b x  - 36a b x
+--R     + 
+--R           6       7
+--R       - 9a b x - a
+--R  /
+--R          17 9         16 8        2 15 7        3 14 6        4 13 5
+--R       72b  x  + 648a b  x  + 2592a b  x  + 6048a b  x  + 9072a b  x
+--R     + 
+--R            5 12 4        6 11 3        7 10 2       8 9       9 8
+--R       9072a b  x  + 6048a b  x  + 2592a b  x  + 648a b x + 72a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1013
+
+--S 1014 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R             1
+--R   (4)  - ------
+--R             2 8
+--R          72a b
+--R                                                    Type: Expression(Integer)
+--E 1014
+
+--S 1015 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1015
+
+)clear all
+
+--S 1016 of 3330
+t0000:=x^6/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      6
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1016
+
+--S 1017 of 3330
+r0000:=1/9*x^7/(a*(a+b*x)^9)+1/36*x^7/(a^2*(a+b*x)^8)+1/252*x^7/(a^3*(a+b*x)^7)
+--R 
+--R
+--R   (2)
+--R      1   2 9    1      8   1  2 7
+--R     --- b x  + -- a b x  + - a x
+--R     252        28          7
+--R  /
+--R        3 9 9     4 8 8      5 7 7      6 6 6       7 5 5       8 4 4      9 3 3
+--R       a b x  + 9a b x  + 36a b x  + 84a b x  + 126a b x  + 126a b x  + 84a b x
+--R     + 
+--R          10 2 2     11       12
+--R       36a  b x  + 9a  b x + a
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1017
+
+--S 1018 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R          6 6         5 5       2 4 4      3 3 3      4 2 2     5       6
+--R     - 84b x  - 126a b x  - 126a b x  - 84a b x  - 36a b x  - 9a b x - a
+--R  /
+--R           16 9          15 8        2 14 7         3 13 6         4 12 5
+--R       252b  x  + 2268a b  x  + 9072a b  x  + 21168a b  x  + 31752a b  x
+--R     + 
+--R             5 11 4         6 10 3        7 9 2        8 8        9 7
+--R       31752a b  x  + 21168a b  x  + 9072a b x  + 2268a b x + 252a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1018
+
+--S 1019 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R             1
+--R   (4)  - -------
+--R              3 7
+--R          252a b
+--R                                                    Type: Expression(Integer)
+--E 1019
+
+--S 1020 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1020
+
+)clear all
+
+--S 1021 of 3330
+t0000:=x^5/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      5
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1021
+
+--S 1022 of 3330
+r0000:=1/9*x^6/(a*(a+b*x)^9)+1/24*x^6/(a^2*(a+b*x)^8)+_
+     1/84*x^6/(a^3*(a+b*x)^7)+1/504*x^6/(a^4*(a+b*x)^6)
+--R 
+--R
+--R   (2)
+--R      1   3 9    1    2 8    1  2   7   1  3 6
+--R     --- b x  + -- a b x  + -- a b x  + - a x
+--R     504        56          14          6
+--R  /
+--R        4 9 9     5 8 8      6 7 7      7 6 6       8 5 5       9 4 4
+--R       a b x  + 9a b x  + 36a b x  + 84a b x  + 126a b x  + 126a b x
+--R     + 
+--R          10 3 3      11 2 2     12       13
+--R       84a  b x  + 36a  b x  + 9a  b x + a
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1022
+
+--S 1023 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           5 5         4 4      2 3 3      3 2 2     4       5
+--R     - 126b x  - 126a b x  - 84a b x  - 36a b x  - 9a b x - a
+--R  /
+--R           15 9          14 8         2 13 7         3 12 6         4 11 5
+--R       504b  x  + 4536a b  x  + 18144a b  x  + 42336a b  x  + 63504a b  x
+--R     + 
+--R             5 10 4         6 9 3         7 8 2        8 7        9 6
+--R       63504a b  x  + 42336a b x  + 18144a b x  + 4536a b x + 504a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1023
+
+--S 1024 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R             1
+--R   (4)  - -------
+--R              4 6
+--R          504a b
+--R                                                    Type: Expression(Integer)
+--E 1024
+
+--S 1025 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1025
+
+)clear all
+
+--S 1026 of 3330
+t0000:=x^4/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      4
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1026
+
+--S 1027 of 3330
+r0000:=-1/9*a^4/(b^5*(a+b*x)^9)+1/2*a^3/(b^5*(a+b*x)^8)-_
+     6/7*a^2/(b^5*(a+b*x)^7)+2/3*a/(b^5*(a+b*x)^6)+(-1/5)/(b^5*(a+b*x)^5)
+--R 
+--R
+--R   (2)
+--R       1  4 4    2    3 3    2  2 2 2    1  3       1   4
+--R     - - b x  - -- a b x  - -- a b x  - -- a b x - --- a
+--R       5        15          35          70         630
+--R  /
+--R        14 9       13 8      2 12 7      3 11 6       4 10 5       5 9 4
+--R       b  x  + 9a b  x  + 36a b  x  + 84a b  x  + 126a b  x  + 126a b x
+--R     + 
+--R          6 8 3      7 7 2     8 6     9 5
+--R       84a b x  + 36a b x  + 9a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1027
+
+--S 1028 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           4 4        3 3      2 2 2     3       4
+--R     - 126b x  - 84a b x  - 36a b x  - 9a b x - a
+--R  /
+--R           14 9          13 8         2 12 7         3 11 6         4 10 5
+--R       630b  x  + 5670a b  x  + 22680a b  x  + 52920a b  x  + 79380a b  x
+--R     + 
+--R             5 9 4         6 8 3         7 7 2        8 6        9 5
+--R       79380a b x  + 52920a b x  + 22680a b x  + 5670a b x + 630a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1028
+
+--S 1029 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1029
+
+--S 1030 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1030
+
+)clear all
+
+--S 1031 of 3330
+t0000:=x^3/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      3
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1031
+
+--S 1032 of 3330
+r0000:=1/9*a^3/(b^4*(a+b*x)^9)-3/8*a^2/(b^4*(a+b*x)^8)+_
+     3/7*a/(b^4*(a+b*x)^7)+(-1/6)/(b^4*(a+b*x)^6)
+--R 
+--R
+--R   (2)
+--R       1  3 3    1    2 2    1  2       1   3
+--R     - - b x  - -- a b x  - -- a b x - --- a
+--R       6        14          56         504
+--R  /
+--R        13 9       12 8      2 11 7      3 10 6       4 9 5       5 8 4
+--R       b  x  + 9a b  x  + 36a b  x  + 84a b  x  + 126a b x  + 126a b x
+--R     + 
+--R          6 7 3      7 6 2     8 5     9 4
+--R       84a b x  + 36a b x  + 9a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1032
+
+--S 1033 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R          3 3        2 2     2       3
+--R     - 84b x  - 36a b x  - 9a b x - a
+--R  /
+--R           13 9          12 8         2 11 7         3 10 6         4 9 5
+--R       504b  x  + 4536a b  x  + 18144a b  x  + 42336a b  x  + 63504a b x
+--R     + 
+--R             5 8 4         6 7 3         7 6 2        8 5        9 4
+--R       63504a b x  + 42336a b x  + 18144a b x  + 4536a b x + 504a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1033
+
+--S 1034 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1034
+
+--S 1035 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1035
+
+)clear all
+
+--S 1036 of 3330
+t0000:=x^2/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R      2
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1036
+
+--S 1037 of 3330
+r0000:=-1/9*a^2/(b^3*(a+b*x)^9)+1/4*a/(b^3*(a+b*x)^8)+(-1/7)/(b^3*(a+b*x)^7)
+--R 
+--R
+--R   (2)
+--R       1  2 2    1          1   2
+--R     - - b x  - -- a b x - --- a
+--R       7        28         252
+--R  /
+--R        12 9       11 8      2 10 7      3 9 6       4 8 5       5 7 4
+--R       b  x  + 9a b  x  + 36a b  x  + 84a b x  + 126a b x  + 126a b x
+--R     + 
+--R          6 6 3      7 5 2     8 4     9 3
+--R       84a b x  + 36a b x  + 9a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1037
+
+--S 1038 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R          2 2             2
+--R     - 36b x  - 9a b x - a
+--R  /
+--R           12 9          11 8        2 10 7         3 9 6         4 8 5
+--R       252b  x  + 2268a b  x  + 9072a b  x  + 21168a b x  + 31752a b x
+--R     + 
+--R             5 7 4         6 6 3        7 5 2        8 4        9 3
+--R       31752a b x  + 21168a b x  + 9072a b x  + 2268a b x + 252a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1038
+
+--S 1039 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1039
+
+--S 1040 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1040
+
+)clear all
+
+--S 1041 of 3330
+t0000:=x/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R     x
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1041
+
+--S 1042 of 3330
+r0000:=1/9*a/(b^2*(a+b*x)^9)+(-1/8)/(b^2*(a+b*x)^8)
+--R 
+--R
+--R   (2)
+--R       1        1
+--R     - - b x - -- a
+--R       8       72
+--R  /
+--R        11 9       10 8      2 9 7      3 8 6       4 7 5       5 6 4      6 5 3
+--R       b  x  + 9a b  x  + 36a b x  + 84a b x  + 126a b x  + 126a b x  + 84a b x
+--R     + 
+--R          7 4 2     8 3     9 2
+--R       36a b x  + 9a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1042
+
+--S 1043 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R     - 9b x - a
+--R  /
+--R          11 9         10 8        2 9 7        3 8 6        4 7 5        5 6 4
+--R       72b  x  + 648a b  x  + 2592a b x  + 6048a b x  + 9072a b x  + 9072a b x
+--R     + 
+--R            6 5 3        7 4 2       8 3       9 2
+--R       6048a b x  + 2592a b x  + 648a b x + 72a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1043
+
+--S 1044 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1044
+
+--S 1045 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1045
+
+)clear all
+
+--S 1046 of 3330
+t0000:=1/(a+b*x)^10
+--R 
+--R
+--R   (1)
+--R     1
+--R  /
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1046
+
+--S 1047 of 3330
+r0000:=(-1/9)/(b*(a+b*x)^9)
+--R 
+--R
+--R   (2)
+--R   -
+--R        1
+--R        -
+--R        9
+--R     /
+--R           10 9       9 8      2 8 7      3 7 6       4 6 5       5 5 4
+--R          b  x  + 9a b x  + 36a b x  + 84a b x  + 126a b x  + 126a b x
+--R        + 
+--R             6 4 3      7 3 2     8 2     9
+--R          84a b x  + 36a b x  + 9a b x + a b
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1047
+
+--S 1048 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   -
+--R        1
+--R     /
+--R            10 9        9 8       2 8 7       3 7 6        4 6 5        5 5 4
+--R          9b  x  + 81a b x  + 324a b x  + 756a b x  + 1134a b x  + 1134a b x
+--R        + 
+--R              6 4 3       7 3 2      8 2      9
+--R          756a b x  + 324a b x  + 81a b x + 9a b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1048
+
+--S 1049 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1049
+
+--S 1050 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1050
+
+)clear all
+
+--S 1051 of 3330
+t0000:=1/(x*(a+b*x)^10)
+--R 
+--R
+--R   (1)
+--R     1
+--R  /
+--R        10 11        9 10      2 8 9       3 7 8       4 6 7       5 5 6
+--R       b  x   + 10a b x   + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 5       7 3 4      8 2 3      9   2    10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1051
+
+--S 1052 of 3330
+r0000:=1/9/(a*(a+b*x)^9)+1/8/(a^2*(a+b*x)^8)+1/7/(a^3*(a+b*x)^7)+_
+     1/6/(a^4*(a+b*x)^6)+1/5/(a^5*(a+b*x)^5)+1/4/(a^6*(a+b*x)^4)+_
+     1/3/(a^7*(a+b*x)^3)+1/2/(a^8*(a+b*x)^2)+1/(a^9*(a+b*x))+_
+     log(x)/a^10-log(a+b*x)/a^10
+--R 
+--R
+--R   (2)
+--R                  9 9           8 8         2 7 7          3 6 6          4 5 5
+--R           - 2520b x  - 22680a b x  - 90720a b x  - 211680a b x  - 317520a b x
+--R         + 
+--R                    5 4 4          6 3 3         7 2 2         8           9
+--R           - 317520a b x  - 211680a b x  - 90720a b x  - 22680a b x - 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                9 9           8 8         2 7 7          3 6 6          4 5 5
+--R           2520b x  + 22680a b x  + 90720a b x  + 211680a b x  + 317520a b x
+--R         + 
+--R                  5 4 4          6 3 3         7 2 2         8           9
+--R           317520a b x  + 211680a b x  + 90720a b x  + 22680a b x + 2520a
+--R      *
+--R         log(x)
+--R     + 
+--R              8 8         2 7 7         3 6 6          4 5 5          5 4 4
+--R       2520a b x  + 21420a b x  + 80220a b x  + 173250a b x  + 236754a b x
+--R     + 
+--R              6 3 3          7 2 2         8           9
+--R       210756a b x  + 120564a b x  + 41481a b x + 7129a
+--R  /
+--R            10 9 9         11 8 8         12 7 7          13 6 6          14 5 5
+--R       2520a  b x  + 22680a  b x  + 90720a  b x  + 211680a  b x  + 317520a  b x
+--R     + 
+--R              15 4 4          16 3 3         17 2 2         18           19
+--R       317520a  b x  + 211680a  b x  + 90720a  b x  + 22680a  b x + 2520a
+--R                                                    Type: Expression(Integer)
+--E 1052
+
+--S 1053 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                  9 9           8 8         2 7 7          3 6 6          4 5 5
+--R           - 2520b x  - 22680a b x  - 90720a b x  - 211680a b x  - 317520a b x
+--R         + 
+--R                    5 4 4          6 3 3         7 2 2         8           9
+--R           - 317520a b x  - 211680a b x  - 90720a b x  - 22680a b x - 2520a
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                9 9           8 8         2 7 7          3 6 6          4 5 5
+--R           2520b x  + 22680a b x  + 90720a b x  + 211680a b x  + 317520a b x
+--R         + 
+--R                  5 4 4          6 3 3         7 2 2         8           9
+--R           317520a b x  + 211680a b x  + 90720a b x  + 22680a b x + 2520a
+--R      *
+--R         log(x)
+--R     + 
+--R              8 8         2 7 7         3 6 6          4 5 5          5 4 4
+--R       2520a b x  + 21420a b x  + 80220a b x  + 173250a b x  + 236754a b x
+--R     + 
+--R              6 3 3          7 2 2         8           9
+--R       210756a b x  + 120564a b x  + 41481a b x + 7129a
+--R  /
+--R            10 9 9         11 8 8         12 7 7          13 6 6          14 5 5
+--R       2520a  b x  + 22680a  b x  + 90720a  b x  + 211680a  b x  + 317520a  b x
+--R     + 
+--R              15 4 4          16 3 3         17 2 2         18           19
+--R       317520a  b x  + 211680a  b x  + 90720a  b x  + 22680a  b x + 2520a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1053
+
+--S 1054 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1054
+
+--S 1055 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1055
+
+)clear all
+
+--S 1056 of 3330
+t0000:=1/(x^2*(a+b*x)^10)
+--R 
+--R
+--R   (1)
+--R     1
+--R  /
+--R        10 12        9 11      2 8 10       3 7 9       4 6 8       5 5 7
+--R       b  x   + 10a b x   + 45a b x   + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 6       7 3 5      8 2 4      9   3    10 2
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1056
+
+--S 1057 of 3330
+r0000:=(-1)/(a^10*x)-1/9*b/(a^2*(a+b*x)^9)-1/4*b/(a^3*(a+b*x)^8)-_
+     3/7*b/(a^4*(a+b*x)^7)-2/3*b/(a^5*(a+b*x)^6)-b/(a^6*(a+b*x)^5)-_
+     3/2*b/(a^7*(a+b*x)^4)-7/3*b/(a^8*(a+b*x)^3)-4*b/(a^9*(a+b*x)^2)-_
+     9*b/(a^10*(a+b*x))-10*b*log(x)/a^11+10*b*log(a+b*x)/a^11
+--R 
+--R
+--R   (2)
+--R                10 10           9 9         2 8 8          3 7 7          4 6 6
+--R           2520b  x   + 22680a b x  + 90720a b x  + 211680a b x  + 317520a b x
+--R         + 
+--R                  5 5 5          6 4 4         7 3 3         8 2 2        9
+--R           317520a b x  + 211680a b x  + 90720a b x  + 22680a b x  + 2520a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                  10 10           9 9         2 8 8          3 7 7
+--R           - 2520b  x   - 22680a b x  - 90720a b x  - 211680a b x
+--R         + 
+--R                    4 6 6          5 5 5          6 4 4         7 3 3
+--R           - 317520a b x  - 317520a b x  - 211680a b x  - 90720a b x
+--R         + 
+--R                   8 2 2        9
+--R           - 22680a b x  - 2520a b x
+--R      *
+--R         log(x)
+--R     + 
+--R                9 9         2 8 8         3 7 7          4 6 6          5 5 5
+--R       - 2520a b x  - 21420a b x  - 80220a b x  - 173250a b x  - 236754a b x
+--R     + 
+--R                6 4 4          7 3 3         8 2 2        9          10
+--R       - 210756a b x  - 120564a b x  - 41481a b x  - 7129a b x - 252a
+--R  /
+--R           11 9 10        12 8 9        13 7 8         14 6 7         15 5 6
+--R       252a  b x   + 2268a  b x  + 9072a  b x  + 21168a  b x  + 31752a  b x
+--R     + 
+--R             16 4 5         17 3 4        18 2 3        19   2       20
+--R       31752a  b x  + 21168a  b x  + 9072a  b x  + 2268a  b x  + 252a  x
+--R                                                    Type: Expression(Integer)
+--E 1057
+
+--S 1058 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                10 10           9 9         2 8 8          3 7 7          4 6 6
+--R           2520b  x   + 22680a b x  + 90720a b x  + 211680a b x  + 317520a b x
+--R         + 
+--R                  5 5 5          6 4 4         7 3 3         8 2 2        9
+--R           317520a b x  + 211680a b x  + 90720a b x  + 22680a b x  + 2520a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                  10 10           9 9         2 8 8          3 7 7
+--R           - 2520b  x   - 22680a b x  - 90720a b x  - 211680a b x
+--R         + 
+--R                    4 6 6          5 5 5          6 4 4         7 3 3
+--R           - 317520a b x  - 317520a b x  - 211680a b x  - 90720a b x
+--R         + 
+--R                   8 2 2        9
+--R           - 22680a b x  - 2520a b x
+--R      *
+--R         log(x)
+--R     + 
+--R                9 9         2 8 8         3 7 7          4 6 6          5 5 5
+--R       - 2520a b x  - 21420a b x  - 80220a b x  - 173250a b x  - 236754a b x
+--R     + 
+--R                6 4 4          7 3 3         8 2 2        9          10
+--R       - 210756a b x  - 120564a b x  - 41481a b x  - 7129a b x - 252a
+--R  /
+--R           11 9 10        12 8 9        13 7 8         14 6 7         15 5 6
+--R       252a  b x   + 2268a  b x  + 9072a  b x  + 21168a  b x  + 31752a  b x
+--R     + 
+--R             16 4 5         17 3 4        18 2 3        19   2       20
+--R       31752a  b x  + 21168a  b x  + 9072a  b x  + 2268a  b x  + 252a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1058
+
+--S 1059 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1059
+
+--S 1060 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1060
+
+)clear all
+
+--S 1061 of 3330
+t0000:=1/(x^3*(a+b*x)^10)
+--R 
+--R
+--R   (1)
+--R     1
+--R  /
+--R        10 13        9 12      2 8 11       3 7 10       4 6 9       5 5 8
+--R       b  x   + 10a b x   + 45a b x   + 120a b x   + 210a b x  + 252a b x
+--R     + 
+--R           6 4 7       7 3 6      8 2 5      9   4    10 3
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1061
+
+--S 1062 of 3330
+r0000:=(-1/2)/(a^10*x^2)+10*b/(a^11*x)+1/9*b^2/(a^3*(a+b*x)^9)+_
+     3/8*b^2/(a^4*(a+b*x)^8)+6/7*b^2/(a^5*(a+b*x)^7)+_
+     5/3*b^2/(a^6*(a+b*x)^6)+3*b^2/(a^7*(a+b*x)^5)+_
+     21/4*b^2/(a^8*(a+b*x)^4)+28/3*b^2/(a^9*(a+b*x)^3)+_
+     18*b^2/(a^10*(a+b*x)^2)+45*b^2/(a^11*(a+b*x))+_
+     55*b^2*log(x)/a^12-55*b^2*log(a+b*x)/a^12
+--R 
+--R
+--R   (2)
+--R                   11 11            10 10          2 9 9           3 8 8
+--R           - 27720b  x   - 249480a b  x   - 997920a b x  - 2328480a b x
+--R         + 
+--R                     4 7 7           5 6 6           6 5 5          7 4 4
+--R           - 3492720a b x  - 3492720a b x  - 2328480a b x  - 997920a b x
+--R         + 
+--R                    8 3 3         9 2 2
+--R           - 249480a b x  - 27720a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                 11 11            10 10          2 9 9           3 8 8
+--R           27720b  x   + 249480a b  x   + 997920a b x  + 2328480a b x
+--R         + 
+--R                   4 7 7           5 6 6           6 5 5          7 4 4
+--R           3492720a b x  + 3492720a b x  + 2328480a b x  + 997920a b x
+--R         + 
+--R                  8 3 3         9 2 2
+--R           249480a b x  + 27720a b x
+--R      *
+--R         log(x)
+--R     + 
+--R               10 10          2 9 9          3 8 8           4 7 7
+--R       27720a b  x   + 235620a b x  + 882420a b x  + 1905750a b x
+--R     + 
+--R               5 6 6           6 5 5           7 4 4          8 3 3
+--R       2604294a b x  + 2318316a b x  + 1326204a b x  + 456291a b x
+--R     + 
+--R             9 2 2        10          11
+--R       78419a b x  + 2772a  b x - 252a
+--R  /
+--R           12 9 11        13 8 10         14 7 9         15 6 8         16 5 7
+--R       504a  b x   + 4536a  b x   + 18144a  b x  + 42336a  b x  + 63504a  b x
+--R     + 
+--R             17 4 6         18 3 5         19 2 4        20   3       21 2
+--R       63504a  b x  + 42336a  b x  + 18144a  b x  + 4536a  b x  + 504a  x
+--R                                                    Type: Expression(Integer)
+--E 1062
+
+--S 1063 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                   11 11            10 10          2 9 9           3 8 8
+--R           - 27720b  x   - 249480a b  x   - 997920a b x  - 2328480a b x
+--R         + 
+--R                     4 7 7           5 6 6           6 5 5          7 4 4
+--R           - 3492720a b x  - 3492720a b x  - 2328480a b x  - 997920a b x
+--R         + 
+--R                    8 3 3         9 2 2
+--R           - 249480a b x  - 27720a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                 11 11            10 10          2 9 9           3 8 8
+--R           27720b  x   + 249480a b  x   + 997920a b x  + 2328480a b x
+--R         + 
+--R                   4 7 7           5 6 6           6 5 5          7 4 4
+--R           3492720a b x  + 3492720a b x  + 2328480a b x  + 997920a b x
+--R         + 
+--R                  8 3 3         9 2 2
+--R           249480a b x  + 27720a b x
+--R      *
+--R         log(x)
+--R     + 
+--R               10 10          2 9 9          3 8 8           4 7 7
+--R       27720a b  x   + 235620a b x  + 882420a b x  + 1905750a b x
+--R     + 
+--R               5 6 6           6 5 5           7 4 4          8 3 3
+--R       2604294a b x  + 2318316a b x  + 1326204a b x  + 456291a b x
+--R     + 
+--R             9 2 2        10          11
+--R       78419a b x  + 2772a  b x - 252a
+--R  /
+--R           12 9 11        13 8 10         14 7 9         15 6 8         16 5 7
+--R       504a  b x   + 4536a  b x   + 18144a  b x  + 42336a  b x  + 63504a  b x
+--R     + 
+--R             17 4 6         18 3 5         19 2 4        20   3       21 2
+--R       63504a  b x  + 42336a  b x  + 18144a  b x  + 4536a  b x  + 504a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1063
+
+--S 1064 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1064
+
+--S 1065 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1065
+
+)clear all
+
+--S 1066 of 3330
+t0000:=1/(x^4*(a+b*x)^10)
+--R 
+--R
+--R   (1)
+--R     1
+--R  /
+--R        10 14        9 13      2 8 12       3 7 11       4 6 10       5 5 9
+--R       b  x   + 10a b x   + 45a b x   + 120a b x   + 210a b x   + 252a b x
+--R     + 
+--R           6 4 8       7 3 7      8 2 6      9   5    10 4
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x  + a  x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1066
+
+--S 1067 of 3330
+r0000:=(-1/3)/(a^10*x^3)+5*b/(a^11*x^2)-55*b^2/(a^12*x)-_
+     1/9*b^3/(a^4*(a+b*x)^9)-1/2*b^3/(a^5*(a+b*x)^8)-_
+     10/7*b^3/(a^6*(a+b*x)^7)-10/3*b^3/(a^7*(a+b*x)^6)-_
+     7*b^3/(a^8*(a+b*x)^5)-14*b^3/(a^9*(a+b*x)^4)-_
+     28*b^3/(a^10*(a+b*x)^3)-60*b^3/(a^11*(a+b*x)^2)-_
+     165*b^3/(a^12*(a+b*x))-220*b^3*log(x)/a^13+220*b^3*log(a+b*x)/a^13
+--R 
+--R
+--R   (2)
+--R                 12 12            11 11          2 10 10           3 9 9
+--R           27720b  x   + 249480a b  x   + 997920a b  x   + 2328480a b x
+--R         + 
+--R                   4 8 8           5 7 7           6 6 6          7 5 5
+--R           3492720a b x  + 3492720a b x  + 2328480a b x  + 997920a b x
+--R         + 
+--R                  8 4 4         9 3 3
+--R           249480a b x  + 27720a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                   12 12            11 11          2 10 10           3 9 9
+--R           - 27720b  x   - 249480a b  x   - 997920a b  x   - 2328480a b x
+--R         + 
+--R                     4 8 8           5 7 7           6 6 6          7 5 5
+--R           - 3492720a b x  - 3492720a b x  - 2328480a b x  - 997920a b x
+--R         + 
+--R                    8 4 4         9 3 3
+--R           - 249480a b x  - 27720a b x
+--R      *
+--R         log(x)
+--R     + 
+--R                 11 11          2 10 10          3 9 9           4 8 8
+--R       - 27720a b  x   - 235620a b  x   - 882420a b x  - 1905750a b x
+--R     + 
+--R                 5 7 7           6 6 6           7 5 5          8 4 4
+--R       - 2604294a b x  - 2318316a b x  - 1326204a b x  - 456291a b x
+--R     + 
+--R               9 3 3        10 2 2       11         12
+--R       - 78419a b x  - 2772a  b x  + 252a  b x - 42a
+--R  /
+--R           13 9 12        14 8 11        15 7 10         16 6 9         17 5 8
+--R       126a  b x   + 1134a  b x   + 4536a  b x   + 10584a  b x  + 15876a  b x
+--R     + 
+--R             18 4 7         19 3 6        20 2 5        21   4       22 3
+--R       15876a  b x  + 10584a  b x  + 4536a  b x  + 1134a  b x  + 126a  x
+--R                                                    Type: Expression(Integer)
+--E 1067
+
+--S 1068 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                 12 12            11 11          2 10 10           3 9 9
+--R           27720b  x   + 249480a b  x   + 997920a b  x   + 2328480a b x
+--R         + 
+--R                   4 8 8           5 7 7           6 6 6          7 5 5
+--R           3492720a b x  + 3492720a b x  + 2328480a b x  + 997920a b x
+--R         + 
+--R                  8 4 4         9 3 3
+--R           249480a b x  + 27720a b x
+--R      *
+--R         log(b x + a)
+--R     + 
+--R                   12 12            11 11          2 10 10           3 9 9
+--R           - 27720b  x   - 249480a b  x   - 997920a b  x   - 2328480a b x
+--R         + 
+--R                     4 8 8           5 7 7           6 6 6          7 5 5
+--R           - 3492720a b x  - 3492720a b x  - 2328480a b x  - 997920a b x
+--R         + 
+--R                    8 4 4         9 3 3
+--R           - 249480a b x  - 27720a b x
+--R      *
+--R         log(x)
+--R     + 
+--R                 11 11          2 10 10          3 9 9           4 8 8
+--R       - 27720a b  x   - 235620a b  x   - 882420a b x  - 1905750a b x
+--R     + 
+--R                 5 7 7           6 6 6           7 5 5          8 4 4
+--R       - 2604294a b x  - 2318316a b x  - 1326204a b x  - 456291a b x
+--R     + 
+--R               9 3 3        10 2 2       11         12
+--R       - 78419a b x  - 2772a  b x  + 252a  b x - 42a
+--R  /
+--R           13 9 12        14 8 11        15 7 10         16 6 9         17 5 8
+--R       126a  b x   + 1134a  b x   + 4536a  b x   + 10584a  b x  + 15876a  b x
+--R     + 
+--R             18 4 7         19 3 6        20 2 5        21   4       22 3
+--R       15876a  b x  + 10584a  b x  + 4536a  b x  + 1134a  b x  + 126a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1068
+
+--S 1069 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1069
+
+--S 1070 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1070
+
+)clear all
+
+--S 1071 of 3330
+t0000:=(a+b*x)^12/x^10
+--R 
+--R
+--R   (1)
+--R        12 12        11 11      2 10 10       3 9 9       4 8 8       5 7 7
+--R       b  x   + 12a b  x   + 66a b  x   + 220a b x  + 495a b x  + 792a b x
+--R     + 
+--R         6 6 6       7 5 5       8 4 4       9 3 3      10 2 2      11       12
+--R     924a b x  + 792a b x  + 495a b x  + 220a b x  + 66a  b x  + 12a  b x + a
+--R  /
+--R      10
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1071
+
+--S 1072 of 3330
+r0000:=-1/9*a^12/x^9-3/2*a^11*b/x^8-66/7*a^10*b^2/x^7-_
+     110/3*a^9*b^3/x^6-99*a^8*b^4/x^5-198*a^7*b^5/x^4-_
+     308*a^6*b^6/x^3-396*a^5*b^7/x^2-495*a^4*b^8/x+66*a^2*b^10*x+_
+     6*a*b^11*x^2+1/3*b^12*x^3+220*a^3*b^9*log(x)
+--R 
+--R
+--R   (2)
+--R             3 9 9            12 12         11 11        2 10 10         4 8 8
+--R       27720a b x log(x) + 42b  x   + 756a b  x   + 8316a b  x   - 62370a b x
+--R     + 
+--R               5 7 7         6 6 6         7 5 5         8 4 4        9 3 3
+--R       - 49896a b x  - 38808a b x  - 24948a b x  - 12474a b x  - 4620a b x
+--R     + 
+--R              10 2 2       11         12
+--R       - 1188a  b x  - 189a  b x - 14a
+--R  /
+--R         9
+--R     126x
+--R                                                    Type: Expression(Integer)
+--E 1072
+
+--S 1073 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             3 9 9            12 12         11 11        2 10 10         4 8 8
+--R       27720a b x log(x) + 42b  x   + 756a b  x   + 8316a b  x   - 62370a b x
+--R     + 
+--R               5 7 7         6 6 6         7 5 5         8 4 4        9 3 3
+--R       - 49896a b x  - 38808a b x  - 24948a b x  - 12474a b x  - 4620a b x
+--R     + 
+--R              10 2 2       11         12
+--R       - 1188a  b x  - 189a  b x - 14a
+--R  /
+--R         9
+--R     126x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1073
+
+--S 1074 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1074
+
+--S 1075 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1075
+
+)clear all
+
+--S 1076 of 3330
+t0000:=(a+b*x)^11/x^10
+--R 
+--R
+--R   (1)
+--R        11 11        10 10      2 9 9       3 8 8       4 7 7       5 6 6
+--R       b  x   + 11a b  x   + 55a b x  + 165a b x  + 330a b x  + 462a b x
+--R     + 
+--R           6 5 5       7 4 4       8 3 3      9 2 2      10       11
+--R       462a b x  + 330a b x  + 165a b x  + 55a b x  + 11a  b x + a
+--R  /
+--R      10
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1076
+
+--S 1077 of 3330
+r0000:=-1/9*a^11/x^9-11/8*a^10*b/x^8-55/7*a^9*b^2/x^7-55/2*a^8*b^3/x^6-_
+     66*a^7*b^4/x^5-231/2*a^6*b^5/x^4-154*a^5*b^6/x^3-165*a^4*b^7/x^2-_
+     165*a^3*b^8/x+11*a*b^10*x+1/2*b^11*x^2+55*a^2*b^9*log(x)
+--R 
+--R
+--R   (2)
+--R             2 9 9             11 11          10 10         3 8 8         4 7 7
+--R       27720a b x log(x) + 252b  x   + 5544a b  x   - 83160a b x  - 83160a b x
+--R     + 
+--R               5 6 6         6 5 5         7 4 4         8 3 3        9 2 2
+--R       - 77616a b x  - 58212a b x  - 33264a b x  - 13860a b x  - 3960a b x
+--R     + 
+--R             10         11
+--R       - 693a  b x - 56a
+--R  /
+--R         9
+--R     504x
+--R                                                    Type: Expression(Integer)
+--E 1077
+
+--S 1078 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             2 9 9             11 11          10 10         3 8 8         4 7 7
+--R       27720a b x log(x) + 252b  x   + 5544a b  x   - 83160a b x  - 83160a b x
+--R     + 
+--R               5 6 6         6 5 5         7 4 4         8 3 3        9 2 2
+--R       - 77616a b x  - 58212a b x  - 33264a b x  - 13860a b x  - 3960a b x
+--R     + 
+--R             10         11
+--R       - 693a  b x - 56a
+--R  /
+--R         9
+--R     504x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1078
+
+--S 1079 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1079
+
+--S 1080 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1080
+
+)clear all
+
+--S 1081 of 3330
+t0000:=(a+b*x)^10/x^10
+--R 
+--R
+--R   (1)
+--R        10 10        9 9      2 8 8       3 7 7       4 6 6       5 5 5
+--R       b  x   + 10a b x  + 45a b x  + 120a b x  + 210a b x  + 252a b x
+--R     + 
+--R           6 4 4       7 3 3      8 2 2      9       10
+--R       210a b x  + 120a b x  + 45a b x  + 10a b x + a
+--R  /
+--R      10
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1081
+
+--S 1082 of 3330
+r0000:=-1/9*a^10/x^9-5/4*a^9*b/x^8-45/7*a^8*b^2/x^7-20*a^7*b^3/x^6-_
+     42*a^6*b^4/x^5-63*a^5*b^5/x^4-70*a^4*b^6/x^3-60*a^3*b^7/x^2-_
+     45*a^2*b^8/x+b^10*x+10*a*b^9*log(x)
+--R 
+--R
+--R   (2)
+--R              9 9             10 10         2 8 8         3 7 7         4 6 6
+--R       2520a b x log(x) + 252b  x   - 11340a b x  - 15120a b x  - 17640a b x
+--R     + 
+--R               5 5 5         6 4 4        7 3 3        8 2 2       9         10
+--R       - 15876a b x  - 10584a b x  - 5040a b x  - 1620a b x  - 315a b x - 28a
+--R  /
+--R         9
+--R     252x
+--R                                                    Type: Expression(Integer)
+--E 1082
+
+--S 1083 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              9 9             10 10         2 8 8         3 7 7         4 6 6
+--R       2520a b x log(x) + 252b  x   - 11340a b x  - 15120a b x  - 17640a b x
+--R     + 
+--R               5 5 5         6 4 4        7 3 3        8 2 2       9         10
+--R       - 15876a b x  - 10584a b x  - 5040a b x  - 1620a b x  - 315a b x - 28a
+--R  /
+--R         9
+--R     252x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1083
+
+--S 1084 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1084
+
+--S 1085 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1085
+
+)clear all
+
+--S 1086 of 3330
+t0000:=(a+b*x)^9/x^10
+--R 
+--R
+--R   (1)
+--R        9 9       8 8      2 7 7      3 6 6       4 5 5       5 4 4      6 3 3
+--R       b x  + 9a b x  + 36a b x  + 84a b x  + 126a b x  + 126a b x  + 84a b x
+--R     + 
+--R          7 2 2     8       9
+--R       36a b x  + 9a b x + a
+--R  /
+--R      10
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1086
+
+--S 1087 of 3330
+r0000:=-1/9*a^9/x^9-9/8*a^8*b/x^8-36/7*a^7*b^2/x^7-14*a^6*b^3/x^6-_
+     126/5*a^5*b^4/x^5-63/2*a^4*b^5/x^4-28*a^3*b^6/x^3-_
+     18*a^2*b^7/x^2-9*a*b^8/x+b^9*log(x)
+--R 
+--R
+--R   (2)
+--R            9 9                 8 8         2 7 7         3 6 6         4 5 5
+--R       2520b x log(x) - 22680a b x  - 45360a b x  - 70560a b x  - 79380a b x
+--R     + 
+--R               5 4 4         6 3 3         7 2 2        8          9
+--R       - 63504a b x  - 35280a b x  - 12960a b x  - 2835a b x - 280a
+--R  /
+--R          9
+--R     2520x
+--R                                                    Type: Expression(Integer)
+--E 1087
+
+--S 1088 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            9 9                 8 8         2 7 7         3 6 6         4 5 5
+--R       2520b x log(x) - 22680a b x  - 45360a b x  - 70560a b x  - 79380a b x
+--R     + 
+--R               5 4 4         6 3 3         7 2 2        8          9
+--R       - 63504a b x  - 35280a b x  - 12960a b x  - 2835a b x - 280a
+--R  /
+--R          9
+--R     2520x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1088
+
+--S 1089 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1089
+
+--S 1090 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1090
+
+)clear all
+
+--S 1091 of 3330
+t0000:=(a+b*x)^8/x^10
+--R 
+--R
+--R   (1)
+--R        8 8       7 7      2 6 6      3 5 5      4 4 4      5 3 3      6 2 2
+--R       b x  + 8a b x  + 28a b x  + 56a b x  + 70a b x  + 56a b x  + 28a b x
+--R     + 
+--R         7       8
+--R       8a b x + a
+--R  /
+--R      10
+--R     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1091
+
+--S 1092 of 3330
+r0000:=-1/9*(a+b*x)^9/(a*x^9)
+--R 
+--R
+--R   (2)
+--R         1  9 9      8 8     2 7 7   28  3 6 6      4 5 5      5 4 4   28  6 3 3
+--R       - - b x  - a b x  - 4a b x  - -- a b x  - 14a b x  - 14a b x  - -- a b x
+--R         9                            3                                 3
+--R     + 
+--R           7 2 2    8      1  9
+--R       - 4a b x  - a b x - - a
+--R                           9
+--R  /
+--R        9
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1092
+
+--S 1093 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           8 8        7 7      2 6 6       3 5 5       4 4 4      5 3 3
+--R       - 9b x  - 36a b x  - 84a b x  - 126a b x  - 126a b x  - 84a b x
+--R     + 
+--R            6 2 2     7       8
+--R       - 36a b x  - 9a b x - a
+--R  /
+--R       9
+--R     9x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1093
+
+--S 1094 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R         9
+--R        b
+--R   (4)  --
+--R        9a
+--R                                                    Type: Expression(Integer)
+--E 1094
+
+--S 1095 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1095
+
+)clear all
+
+--S 1096 of 3330
+t0000:=(a+b*x)^7/x^10
+--R 
+--R
+--R   (1)
+--R    7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R   b x  + 7a b x  + 21a b x  + 35a b x  + 35a b x  + 21a b x  + 7a b x + a
+--R   ------------------------------------------------------------------------
+--R                                       10
+--R                                      x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1096
+
+--S 1097 of 3330
+r0000:=-1/9*(a+b*x)^8/(a*x^9)+1/72*b*(a+b*x)^8/(a^2*x^8)
+--R 
+--R
+--R   (2)
+--R        1  9 9   1  2 7 7   7  3 6 6   21  4 5 5     5 4 4   35  6 3 3     7 2 2
+--R       -- b x  - - a b x  - - a b x  - -- a b x  - 7a b x  - -- a b x  - 3a b x
+--R       72        2          3           4                     6
+--R     + 
+--R         7  8      1  9
+--R       - - a b x - - a
+--R         8         9
+--R  /
+--R      2 9
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1097
+
+--S 1098 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            7 7         6 6       2 5 5       3 4 4       4 3 3       5 2 2
+--R       - 36b x  - 168a b x  - 378a b x  - 504a b x  - 420a b x  - 216a b x
+--R     + 
+--R            6        7
+--R       - 63a b x - 8a
+--R  /
+--R        9
+--R     72x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1098
+
+--S 1099 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            9
+--R           b
+--R   (4)  - ----
+--R             2
+--R          72a
+--R                                                    Type: Expression(Integer)
+--E 1099
+
+--S 1100 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1100
+
+)clear all
+
+--S 1101 of 3330
+t0000:=(a+b*x)^6/x^10
+--R 
+--R
+--R         6 6       5 5      2 4 4      3 3 3      4 2 2     5       6
+--R        b x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a b x + a
+--R   (1)  -------------------------------------------------------------
+--R                                      10
+--R                                     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1101
+
+--S 1102 of 3330
+r0000:=-1/9*(a+b*x)^7/(a*x^9)+1/36*b*(a+b*x)^7/(a^2*x^8)-_
+     1/252*b^2*(a+b*x)^7/(a^3*x^7)
+--R 
+--R
+--R   (2)
+--R          1   9 9   1  3 6 6   3  4 5 5     5 4 4   10  6 3 3   15  7 2 2
+--R       - --- b x  - - a b x  - - a b x  - 3a b x  - -- a b x  - -- a b x
+--R         252        3          2                     3           7
+--R     + 
+--R         3  8      1  9
+--R       - - a b x - - a
+--R         4         9
+--R  /
+--R      3 9
+--R     a x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1102
+
+--S 1103 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R        6 6         5 5       2 4 4       3 3 3       4 2 2       5         6
+--R   - 84b x  - 378a b x  - 756a b x  - 840a b x  - 540a b x  - 189a b x - 28a
+--R   --------------------------------------------------------------------------
+--R                                          9
+--R                                      252x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1103
+
+--S 1104 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R           9
+--R          b
+--R   (4)  -----
+--R            3
+--R        252a
+--R                                                    Type: Expression(Integer)
+--E 1104
+
+--S 1105 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1105
+
+)clear all
+
+--S 1106 of 3330
+t0000:=(a+b*x)^5/x^10
+--R 
+--R
+--R         5 5       4 4      2 3 3      3 2 2     4       5
+--R        b x  + 5a b x  + 10a b x  + 10a b x  + 5a b x + a
+--R   (1)  --------------------------------------------------
+--R                                 10
+--R                                x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1106
+
+--S 1107 of 3330
+r0000:=-1/9*a^5/x^9-5/8*a^4*b/x^8-10/7*a^3*b^2/x^7-5/3*a^2*b^3/x^6-_
+     a*b^4/x^5-1/4*b^5/x^4
+--R 
+--R
+--R          1  5 5      4 4   5  2 3 3   10  3 2 2   5  4      1  5
+--R        - - b x  - a b x  - - a b x  - -- a b x  - - a b x - - a
+--R          4                 3           7          8         9
+--R   (2)  ---------------------------------------------------------
+--R                                     9
+--R                                    x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1107
+
+--S 1108 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              5 5         4 4       2 3 3       3 2 2       4         5
+--R        - 126b x  - 504a b x  - 840a b x  - 720a b x  - 315a b x - 56a
+--R   (3)  ---------------------------------------------------------------
+--R                                         9
+--R                                     504x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1108
+
+--S 1109 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1109
+
+--S 1110 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1110
+
+)clear all
+
+--S 1111 of 3330
+t0000:=(a+b*x)^4/x^10
+--R 
+--R
+--R         4 4       3 3     2 2 2     3       4
+--R        b x  + 4a b x  + 6a b x  + 4a b x + a
+--R   (1)  --------------------------------------
+--R                           10
+--R                          x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1111
+
+--S 1112 of 3330
+r0000:=-1/9*a^4/x^9-1/2*a^3*b/x^8-6/7*a^2*b^2/x^7-2/3*a*b^3/x^6-1/5*b^4/x^5
+--R 
+--R
+--R          1  4 4   2    3 3   6  2 2 2   1  3      1  4
+--R        - - b x  - - a b x  - - a b x  - - a b x - - a
+--R          5        3          7          2         9
+--R   (2)  -----------------------------------------------
+--R                                9
+--R                               x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1112
+
+--S 1113 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              4 4         3 3       2 2 2       3         4
+--R        - 126b x  - 420a b x  - 540a b x  - 315a b x - 70a
+--R   (3)  ---------------------------------------------------
+--R                                   9
+--R                               630x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1113
+
+--S 1114 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1114
+
+--S 1115 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1115
+
+)clear all
+
+--S 1116 of 3330
+t0000:=(a+b*x)^3/x^10
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      10
+--R                     x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1116
+
+--S 1117 of 3330
+r0000:=-1/9*a^3/x^9-3/8*a^2*b/x^8-3/7*a*b^2/x^7-1/6*b^3/x^6
+--R 
+--R
+--R          1  3 3   3    2 2   3  2      1  3
+--R        - - b x  - - a b x  - - a b x - - a
+--R          6        7          8         9
+--R   (2)  ------------------------------------
+--R                          9
+--R                         x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1117
+
+--S 1118 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             3 3         2 2       2         3
+--R        - 84b x  - 216a b x  - 189a b x - 56a
+--R   (3)  --------------------------------------
+--R                             9
+--R                         504x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1118
+
+--S 1119 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1119
+
+--S 1120 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1120
+
+)clear all
+
+--S 1121 of 3330
+t0000:=(a+b*x)^2/x^10
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 10
+--R                x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1121
+
+--S 1122 of 3330
+r0000:=-1/9*a^2/x^9-1/4*a*b/x^8-1/7*b^2/x^7
+--R 
+--R
+--R          1  2 2   1         1  2
+--R        - - b x  - - a b x - - a
+--R          7        4         9
+--R   (2)  -------------------------
+--R                     9
+--R                    x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1122
+
+--S 1123 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             2 2                2
+--R        - 36b x  - 63a b x - 28a
+--R   (3)  -------------------------
+--R                      9
+--R                  252x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1123
+
+--S 1124 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1124
+
+--S 1125 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1125
+
+)clear all
+
+--S 1126 of 3330
+t0000:=(a+b*x)/x^10
+--R 
+--R
+--R        b x + a
+--R   (1)  -------
+--R           10
+--R          x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1126
+
+--S 1127 of 3330
+r0000:=-1/9*a/x^9-1/8*b/x^8
+--R 
+--R
+--R          1       1
+--R        - - b x - - a
+--R          8       9
+--R   (2)  -------------
+--R               9
+--R              x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1127
+
+--S 1128 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        - 9b x - 8a
+--R   (3)  -----------
+--R               9
+--R            72x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1128
+
+--S 1129 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1129
+
+--S 1130 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1130
+
+)clear all
+
+--S 1131 of 3330
+t0000:=1/x^10
+--R 
+--R
+--R         1
+--R   (1)  ---
+--R         10
+--R        x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1131
+
+--S 1132 of 3330
+r0000:=(-1/9)/x^9
+--R 
+--R
+--R           1
+--R           -
+--R           9
+--R   (2)  - ---
+--R            9
+--R           x
+--R                                Type: Fraction(Polynomial(Fraction(Integer)))
+--E 1132
+
+--S 1133 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           1
+--R   (3)  - ---
+--R            9
+--R          9x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1133
+
+--S 1134 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1134
+
+--S 1135 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1135
+
+)clear all
+
+--S 1136 of 3330
+t0000:=1/(x^10*(a+b*x))
+--R 
+--R
+--R              1
+--R   (1)  -------------
+--R           11      10
+--R        b x   + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1136
+
+--S 1137 of 3330
+r0000:=(-1/9)/(a*x^9)+1/8*b/(a^2*x^8)-1/7*b^2/(a^3*x^7)+1/6*b^3/(a^4*x^6)-_
+     1/5*b^4/(a^5*x^5)+1/4*b^5/(a^6*x^4)-1/3*b^6/(a^7*x^3)+_
+     1/2*b^7/(a^8*x^2)-b^8/(a^9*x)-b^9*log(x)/a^10+b^9*log(a+b*x)/a^10
+--R 
+--R
+--R   (2)
+--R            9 9                    9 9                8 8        2 7 7
+--R       2520b x log(b x + a) - 2520b x log(x) - 2520a b x  + 1260a b x
+--R     + 
+--R             3 6 6       4 5 5       5 4 4       6 3 3       7 2 2       8
+--R       - 840a b x  + 630a b x  - 504a b x  + 420a b x  - 360a b x  + 315a b x
+--R     + 
+--R             9
+--R       - 280a
+--R  /
+--R          10 9
+--R     2520a  x
+--R                                                    Type: Expression(Integer)
+--E 1137
+
+--S 1138 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            9 9                    9 9                8 8        2 7 7
+--R       2520b x log(b x + a) - 2520b x log(x) - 2520a b x  + 1260a b x
+--R     + 
+--R             3 6 6       4 5 5       5 4 4       6 3 3       7 2 2       8
+--R       - 840a b x  + 630a b x  - 504a b x  + 420a b x  - 360a b x  + 315a b x
+--R     + 
+--R             9
+--R       - 280a
+--R  /
+--R          10 9
+--R     2520a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1138
+
+--S 1139 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1139
+
+--S 1140 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1140
+
+)clear all
+
+--S 1141 of 3330
+t0000:=1/(x^10*(a+b*x)^2)
+--R 
+--R
+--R                    1
+--R   (1)  ------------------------
+--R         2 12         11    2 10
+--R        b x   + 2a b x   + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1141
+
+--S 1142 of 3330
+r0000:=(-1/9)/(a^2*x^9)+1/4*b/(a^3*x^8)-3/7*b^2/(a^4*x^7)+_
+     2/3*b^3/(a^5*x^6)-b^4/(a^6*x^5)+3/2*b^5/(a^7*x^4)-_
+     7/3*b^6/(a^8*x^3)+4*b^7/(a^9*x^2)-9*b^8/(a^10*x)-_
+     b^9/(a^10*(a+b*x))-10*b^9*log(x)/a^11+10*b^9*log(a+b*x)/a^11
+--R 
+--R
+--R   (2)
+--R             10 10          9 9                        10 10          9 9
+--R       (2520b  x   + 2520a b x )log(b x + a) + (- 2520b  x   - 2520a b x )log(x)
+--R     + 
+--R                9 9        2 8 8       3 7 7       4 6 6       5 5 5      6 4 4
+--R       - 2520a b x  - 1260a b x  + 420a b x  - 210a b x  + 126a b x  - 84a b x
+--R     + 
+--R          7 3 3      8 2 2      9         10
+--R       60a b x  - 45a b x  + 35a b x - 28a
+--R  /
+--R         11   10       12 9
+--R     252a  b x   + 252a  x
+--R                                                    Type: Expression(Integer)
+--E 1142
+
+--S 1143 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             10 10          9 9                        10 10          9 9
+--R       (2520b  x   + 2520a b x )log(b x + a) + (- 2520b  x   - 2520a b x )log(x)
+--R     + 
+--R                9 9        2 8 8       3 7 7       4 6 6       5 5 5      6 4 4
+--R       - 2520a b x  - 1260a b x  + 420a b x  - 210a b x  + 126a b x  - 84a b x
+--R     + 
+--R          7 3 3      8 2 2      9         10
+--R       60a b x  - 45a b x  + 35a b x - 28a
+--R  /
+--R         11   10       12 9
+--R     252a  b x   + 252a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1143
+
+--S 1144 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1144
+
+--S 1145 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1145
+
+)clear all
+
+--S 1146 of 3330
+t0000:=1/(x^10*(a+b*x)^3)
+--R 
+--R
+--R                         1
+--R   (1)  -----------------------------------
+--R         3 13       2 12     2   11    3 10
+--R        b x   + 3a b x   + 3a b x   + a x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1146
+
+--S 1147 of 3330
+r0000:=(-1/9)/(a^3*x^9)+3/8*b/(a^4*x^8)-6/7*b^2/(a^5*x^7)+_
+    5/3*b^3/(a^6*x^6)-3*b^4/(a^7*x^5)+21/4*b^5/(a^8*x^4)-_
+    28/3*b^6/(a^9*x^3)+18*b^7/(a^10*x^2)-45*b^8/(a^11*x)-_
+    1/2*b^9/(a^10*(a+b*x)^2)-10*b^9/(a^11*(a+b*x))-_
+    55*b^9*log(x)/a^12+55*b^9*log(a+b*x)/a^12
+--R 
+--R
+--R   (2)
+--R              11 11           10 10         2 9 9
+--R       (27720b  x   + 55440a b  x   + 27720a b x )log(b x + a)
+--R     + 
+--R                11 11           10 10         2 9 9                  10 10
+--R       (- 27720b  x   - 55440a b  x   - 27720a b x )log(x) - 27720a b  x
+--R     + 
+--R               2 9 9        3 8 8        4 7 7       5 6 6       6 5 5
+--R       - 41580a b x  - 9240a b x  + 2310a b x  - 924a b x  + 462a b x
+--R     + 
+--R             7 4 4       8 3 3       9 2 2      10         11
+--R       - 264a b x  + 165a b x  - 110a b x  + 77a  b x - 56a
+--R  /
+--R         12 2 11        13   10       14 9
+--R     504a  b x   + 1008a  b x   + 504a  x
+--R                                                    Type: Expression(Integer)
+--E 1147
+
+--S 1148 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              11 11           10 10         2 9 9
+--R       (27720b  x   + 55440a b  x   + 27720a b x )log(b x + a)
+--R     + 
+--R                11 11           10 10         2 9 9                  10 10
+--R       (- 27720b  x   - 55440a b  x   - 27720a b x )log(x) - 27720a b  x
+--R     + 
+--R               2 9 9        3 8 8        4 7 7       5 6 6       6 5 5
+--R       - 41580a b x  - 9240a b x  + 2310a b x  - 924a b x  + 462a b x
+--R     + 
+--R             7 4 4       8 3 3       9 2 2      10         11
+--R       - 264a b x  + 165a b x  - 110a b x  + 77a  b x - 56a
+--R  /
+--R         12 2 11        13   10       14 9
+--R     504a  b x   + 1008a  b x   + 504a  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1148
+
+--S 1149 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1149
+
+--S 1150 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1150
+
+)clear all
+
+--S 1151 of 3330
+t0000:=1/(x*(2+3*x))
+--R 
+--R
+--R            1
+--R   (1)  --------
+--R          2
+--R        3x  + 2x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1151
+
+--S 1152 of 3330
+r0000:=1/2*log(x)-1/2*log(2+3*x)
+--R 
+--R
+--R        - log(3x + 2) + log(x)
+--R   (2)  ----------------------
+--R                   2
+--R                                                    Type: Expression(Integer)
+--E 1152
+
+--S 1153 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        - log(3x + 2) + log(x)
+--R   (3)  ----------------------
+--R                   2
+--R                                         Type: Union(Expression(Integer),...)
+--E 1153
+
+--S 1154 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1154
+
+--S 1155 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1155
+
+)clear all
+
+--S 1156 of 3330
+t0000:=1/(x*(4+6*x))
+--R 
+--R
+--R            1
+--R   (1)  --------
+--R          2
+--R        6x  + 4x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1156
+
+--S 1157 of 3330
+r0000:=1/4*log(x)-1/4*log(2+3*x)
+--R 
+--R
+--R        - log(3x + 2) + log(x)
+--R   (2)  ----------------------
+--R                   4
+--R                                                    Type: Expression(Integer)
+--E 1157
+
+--S 1158 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        - log(3x + 2) + log(x)
+--R   (3)  ----------------------
+--R                   4
+--R                                         Type: Union(Expression(Integer),...)
+--E 1158
+
+--S 1159 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1159
+
+--S 1160 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1160
+
+)clear all
+
+--S 1161 of 3330
+t0000:=1/(x^2*(4+6*x))
+--R 
+--R
+--R            1
+--R   (1)  ---------
+--R          3     2
+--R        6x  + 4x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1161
+
+--S 1162 of 3330
+r0000:=(-1/4)/x-3/8*log(x)+3/8*log(2+3*x)
+--R 
+--R
+--R        3x log(3x + 2) - 3x log(x) - 2
+--R   (2)  ------------------------------
+--R                      8x
+--R                                                    Type: Expression(Integer)
+--E 1162
+
+--S 1163 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        3x log(3x + 2) - 3x log(x) - 2
+--R   (3)  ------------------------------
+--R                      8x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1163
+
+--S 1164 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1164
+
+--S 1165 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1165
+
+)clear all
+
+--S 1166 of 3330
+t0000:=1/(x^3*(4+6*x))
+--R 
+--R
+--R            1
+--R   (1)  ---------
+--R          4     3
+--R        6x  + 4x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1166
+
+--S 1167 of 3330
+r0000:=(-1/8)/x^2+3/8/x+9/16*log(x)-9/16*log(2+3*x)
+--R 
+--R
+--R            2                2
+--R        - 9x log(3x + 2) + 9x log(x) + 6x - 2
+--R   (2)  -------------------------------------
+--R                            2
+--R                         16x
+--R                                                    Type: Expression(Integer)
+--E 1167
+
+--S 1168 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2                2
+--R        - 9x log(3x + 2) + 9x log(x) + 6x - 2
+--R   (3)  -------------------------------------
+--R                            2
+--R                         16x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1168
+
+--S 1169 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1169
+
+--S 1170 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1170
+
+)clear all
+
+--S 1171 of 3330
+t0000:=1/(x^4*(4+6*x))
+--R 
+--R
+--R            1
+--R   (1)  ---------
+--R          5     4
+--R        6x  + 4x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1171
+
+--S 1172 of 3330
+r0000:=(-1/12)/x^3+3/16/x^2+(-9/16)/x-27/32*log(x)+27/32*log(2+3*x)
+--R 
+--R
+--R           3                 3            2
+--R        81x log(3x + 2) - 81x log(x) - 54x  + 18x - 8
+--R   (2)  ---------------------------------------------
+--R                                3
+--R                             96x
+--R                                                    Type: Expression(Integer)
+--E 1172
+
+--S 1173 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           3                 3            2
+--R        81x log(3x + 2) - 81x log(x) - 54x  + 18x - 8
+--R   (3)  ---------------------------------------------
+--R                                3
+--R                             96x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1173
+
+--S 1174 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1174
+
+--S 1175 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1175
+
+)clear all
+
+--S 1176 of 3330
+t0000:=1/(x^5*(4+6*x))
+--R 
+--R
+--R            1
+--R   (1)  ---------
+--R          6     5
+--R        6x  + 4x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1176
+
+--S 1177 of 3330
+r0000:=(-1/16)/x^4+1/8/x^3+(-9/32)/x^2+27/32/x+81/64*log(x)-81/64*log(2+3*x)
+--R 
+--R
+--R             4                 4            3      2
+--R        - 81x log(3x + 2) + 81x log(x) + 54x  - 18x  + 8x - 4
+--R   (2)  -----------------------------------------------------
+--R                                    4
+--R                                 64x
+--R                                                    Type: Expression(Integer)
+--E 1177
+
+--S 1178 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             4                 4            3      2
+--R        - 81x log(3x + 2) + 81x log(x) + 54x  - 18x  + 8x - 4
+--R   (3)  -----------------------------------------------------
+--R                                    4
+--R                                 64x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1178
+
+--S 1179 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1179
+
+--S 1180 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1180
+
+)clear all
+
+--S 1181 of 3330
+t0000:=1/(x*(4+6*x)^2)
+--R 
+--R
+--R                1
+--R   (1)  -----------------
+--R           3      2
+--R        36x  + 48x  + 16x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1181
+
+--S 1182 of 3330
+r0000:=1/8/(2+3*x)+1/16*log(x)-1/16*log(2+3*x)
+--R 
+--R
+--R        (- 3x - 2)log(3x + 2) + (3x + 2)log(x) + 2
+--R   (2)  ------------------------------------------
+--R                         48x + 32
+--R                                                    Type: Expression(Integer)
+--E 1182
+
+--S 1183 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        (- 3x - 2)log(3x + 2) + (3x + 2)log(x) + 2
+--R   (3)  ------------------------------------------
+--R                         48x + 32
+--R                                         Type: Union(Expression(Integer),...)
+--E 1183
+
+--S 1184 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1184
+
+--S 1185 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1185
+
+)clear all
+
+--S 1186 of 3330
+t0000:=1/(x^2*(4+6*x)^2)
+--R 
+--R
+--R                 1
+--R   (1)  ------------------
+--R           4      3      2
+--R        36x  + 48x  + 16x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1186
+
+--S 1187 of 3330
+r0000:=(-1/16)/x+(-3/16)/(2+3*x)-3/16*log(x)+3/16*log(2+3*x)
+--R 
+--R
+--R           2                         2
+--R        (9x  + 6x)log(3x + 2) + (- 9x  - 6x)log(x) - 6x - 2
+--R   (2)  ---------------------------------------------------
+--R                                2
+--R                             48x  + 32x
+--R                                                    Type: Expression(Integer)
+--E 1187
+
+--S 1188 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2                         2
+--R        (9x  + 6x)log(3x + 2) + (- 9x  - 6x)log(x) - 6x - 2
+--R   (3)  ---------------------------------------------------
+--R                                2
+--R                             48x  + 32x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1188
+
+--S 1189 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1189
+
+--S 1190 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1190
+
+)clear all
+
+--S 1191 of 3330
+t0000:=1/(x^3*(4+6*x)^2)
+--R 
+--R
+--R                 1
+--R   (1)  ------------------
+--R           5      4      3
+--R        36x  + 48x  + 16x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1191
+
+--S 1192 of 3330
+r0000:=(-1/32)/x^2+3/16/x+9/32/(2+3*x)+27/64*log(x)-27/64*log(2+3*x)
+--R 
+--R
+--R              3      2                   3      2             2
+--R        (- 81x  - 54x )log(3x + 2) + (81x  + 54x )log(x) + 54x  + 18x - 4
+--R   (2)  -----------------------------------------------------------------
+--R                                      3       2
+--R                                  192x  + 128x
+--R                                                    Type: Expression(Integer)
+--E 1192
+
+--S 1193 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              3      2                   3      2             2
+--R        (- 81x  - 54x )log(3x + 2) + (81x  + 54x )log(x) + 54x  + 18x - 4
+--R   (3)  -----------------------------------------------------------------
+--R                                      3       2
+--R                                  192x  + 128x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1193
+
+--S 1194 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1194
+
+--S 1195 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1195
+
+)clear all
+
+--S 1196 of 3330
+t0000:=1/(x^4*(4+6*x)^2)
+--R 
+--R
+--R                 1
+--R   (1)  ------------------
+--R           6      5      4
+--R        36x  + 48x  + 16x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1196
+
+--S 1197 of 3330
+r0000:=(-1/48)/x^3+3/32/x^2+(-27/64)/x+(-27/64)/(2+3*x)-_
+     27/32*log(x)+27/32*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R        4       3                      4       3              3      2
+--R   (243x  + 162x )log(3x + 2) + (- 243x  - 162x )log(x) - 162x  - 54x  + 12x - 4
+--R   -----------------------------------------------------------------------------
+--R                                       4       3
+--R                                   288x  + 192x
+--R                                                    Type: Expression(Integer)
+--E 1197
+
+--S 1198 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R        4       3                      4       3              3      2
+--R   (243x  + 162x )log(3x + 2) + (- 243x  - 162x )log(x) - 162x  - 54x  + 12x - 4
+--R   -----------------------------------------------------------------------------
+--R                                       4       3
+--R                                   288x  + 192x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1198
+
+--S 1199 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1199
+
+--S 1200 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1200
+
+)clear all
+
+--S 1201 of 3330
+t0000:=1/(x^5*(4+6*x)^2)
+--R 
+--R
+--R                 1
+--R   (1)  ------------------
+--R           7      6      5
+--R        36x  + 48x  + 16x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1201
+
+--S 1202 of 3330
+r0000:=(-1/64)/x^4+1/16/x^3+(-27/128)/x^2+27/32/x+_
+     81/128/(2+3*x)+405/256*log(x)-405/256*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R               5       4                     5       4              4       3
+--R       (- 1215x  - 810x )log(3x + 2) + (1215x  + 810x )log(x) + 810x  + 270x
+--R     + 
+--R            2
+--R       - 60x  + 20x - 8
+--R  /
+--R         5       4
+--R     768x  + 512x
+--R                                                    Type: Expression(Integer)
+--E 1202
+
+--S 1203 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               5       4                     5       4              4       3
+--R       (- 1215x  - 810x )log(3x + 2) + (1215x  + 810x )log(x) + 810x  + 270x
+--R     + 
+--R            2
+--R       - 60x  + 20x - 8
+--R  /
+--R         5       4
+--R     768x  + 512x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1203
+
+--S 1204 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1204
+
+--S 1205 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1205
+
+)clear all
+
+--S 1206 of 3330
+t0000:=1/(x*(4+6*x)^3)
+--R 
+--R
+--R                     1
+--R   (1)  ---------------------------
+--R            4       3       2
+--R        216x  + 432x  + 288x  + 64x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1206
+
+--S 1207 of 3330
+r0000:=1/32/(2+3*x)^2+1/32/(2+3*x)+1/64*log(x)-1/64*log(2+3*x)
+--R 
+--R
+--R             2                            2
+--R        (- 9x  - 12x - 4)log(3x + 2) + (9x  + 12x + 4)log(x) + 6x + 6
+--R   (2)  -------------------------------------------------------------
+--R                                  2
+--R                              576x  + 768x + 256
+--R                                                    Type: Expression(Integer)
+--E 1207
+
+--S 1208 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             2                            2
+--R        (- 9x  - 12x - 4)log(3x + 2) + (9x  + 12x + 4)log(x) + 6x + 6
+--R   (3)  -------------------------------------------------------------
+--R                                  2
+--R                              576x  + 768x + 256
+--R                                         Type: Union(Expression(Integer),...)
+--E 1208
+
+--S 1209 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1209
+
+--S 1210 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1210
+
+)clear all
+
+--S 1211 of 3330
+t0000:=1/(x^2*(4+6*x)^3)
+--R 
+--R
+--R                      1
+--R   (1)  ----------------------------
+--R            5       4       3      2
+--R        216x  + 432x  + 288x  + 64x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1211
+
+--S 1212 of 3330
+r0000:=(-1/64)/x+(-3/64)/(2+3*x)^2+(-3/32)/(2+3*x)-_
+     9/128*log(x)+9/128*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R           3       2                           3       2                   2
+--R       (81x  + 108x  + 36x)log(3x + 2) + (- 81x  - 108x  - 36x)log(x) - 54x
+--R     + 
+--R       - 54x - 8
+--R  /
+--R          3        2
+--R     1152x  + 1536x  + 512x
+--R                                                    Type: Expression(Integer)
+--E 1212
+
+--S 1213 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           3       2                           3       2                   2
+--R       (81x  + 108x  + 36x)log(3x + 2) + (- 81x  - 108x  - 36x)log(x) - 54x
+--R     + 
+--R       - 54x - 8
+--R  /
+--R          3        2
+--R     1152x  + 1536x  + 512x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1213
+
+--S 1214 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1214
+
+--S 1215 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1215
+
+)clear all
+
+--S 1216 of 3330
+t0000:=1/(x^3*(4+6*x)^3)
+--R 
+--R
+--R                      1
+--R   (1)  ----------------------------
+--R            6       5       4      3
+--R        216x  + 432x  + 288x  + 64x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1216
+
+--S 1217 of 3330
+r0000:=(-1/128)/x^2+9/128/x+9/128/(2+3*x)^2+27/128/(2+3*x)+_
+     27/128*log(x)-27/128*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R              4       3       2                    4       3       2
+--R       (- 243x  - 324x  - 108x )log(3x + 2) + (243x  + 324x  + 108x )log(x)
+--R     + 
+--R           3       2
+--R       162x  + 162x  + 24x - 4
+--R  /
+--R          4        3       2
+--R     1152x  + 1536x  + 512x
+--R                                                    Type: Expression(Integer)
+--E 1217
+
+--S 1218 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              4       3       2                    4       3       2
+--R       (- 243x  - 324x  - 108x )log(3x + 2) + (243x  + 324x  + 108x )log(x)
+--R     + 
+--R           3       2
+--R       162x  + 162x  + 24x - 4
+--R  /
+--R          4        3       2
+--R     1152x  + 1536x  + 512x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1218
+
+--S 1219 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1219
+
+--S 1220 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1220
+
+)clear all
+
+--S 1221 of 3330
+t0000:=1/(x^4*(4+6*x)^3)
+--R 
+--R
+--R                      1
+--R   (1)  ----------------------------
+--R            7       6       5      4
+--R        216x  + 432x  + 288x  + 64x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1221
+
+--S 1222 of 3330
+r0000:=(-1/192)/x^3+9/256/x^2+(-27/128)/x+(-27/256)/(2+3*x)^2+_
+     (-27/64)/(2+3*x)-135/256*log(x)+135/256*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R             5        4        3
+--R       (3645x  + 4860x  + 1620x )log(3x + 2)
+--R     + 
+--R               5        4        3               4        3       2
+--R       (- 3645x  - 4860x  - 1620x )log(x) - 2430x  - 2430x  - 360x  + 60x - 16
+--R  /
+--R          5        4        3
+--R     6912x  + 9216x  + 3072x
+--R                                                    Type: Expression(Integer)
+--E 1222
+
+--S 1223 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             5        4        3
+--R       (3645x  + 4860x  + 1620x )log(3x + 2)
+--R     + 
+--R               5        4        3               4        3       2
+--R       (- 3645x  - 4860x  - 1620x )log(x) - 2430x  - 2430x  - 360x  + 60x - 16
+--R  /
+--R          5        4        3
+--R     6912x  + 9216x  + 3072x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1223
+
+--S 1224 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1224
+
+--S 1225 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1225
+
+)clear all
+
+--S 1226 of 3330
+t0000:=1/(x^5*(4+6*x)^3)
+--R 
+--R
+--R                      1
+--R   (1)  ----------------------------
+--R            8       7       6      5
+--R        216x  + 432x  + 288x  + 64x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1226
+
+--S 1227 of 3330
+r0000:=(-1/256)/x^4+3/128/x^3+(-27/256)/x^2+135/256/x+81/512/(2+3*x)^2+_
+     405/512/(2+3*x)+1215/1024*log(x)-1215/1024*log(2+3*x)
+--R 
+--R
+--R   (2)
+--R                6         5        4
+--R       (- 10935x  - 14580x  - 4860x )log(3x + 2)
+--R     + 
+--R              6         5        4               5        4        3       2
+--R       (10935x  + 14580x  + 4860x )log(x) + 7290x  + 7290x  + 1080x  - 180x
+--R     + 
+--R       48x - 16
+--R  /
+--R          6         5        4
+--R     9216x  + 12288x  + 4096x
+--R                                                    Type: Expression(Integer)
+--E 1227
+
+--S 1228 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                6         5        4
+--R       (- 10935x  - 14580x  - 4860x )log(3x + 2)
+--R     + 
+--R              6         5        4               5        4        3       2
+--R       (10935x  + 14580x  + 4860x )log(x) + 7290x  + 7290x  + 1080x  - 180x
+--R     + 
+--R       48x - 16
+--R  /
+--R          6         5        4
+--R     9216x  + 12288x  + 4096x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1228
+
+--S 1229 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1229
+
+--S 1230 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1230
+
+--R
+--R
+)clear all
+
+--S 1231 of 3330
+t0000:=1/(2+2*x)
+--R 
+--R
+--R           1
+--R   (1)  ------
+--R        2x + 2
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1231
+
+--S 1232 of 3330
+r0000:=1/2*log(1+x)
+--R 
+--R
+--R        log(x + 1)
+--R   (2)  ----------
+--R             2
+--R                                                    Type: Expression(Integer)
+--E 1232
+
+--S 1233 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        log(x + 1)
+--R   (3)  ----------
+--R             2
+--R                                         Type: Union(Expression(Integer),...)
+--E 1233
+
+--S 1234 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1234
+
+--S 1235 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1235
+
+)clear all
+
+--S 1236 of 3330
+t0000:=1/(4-6*x)
+--R 
+--R
+--R             1
+--R   (1)  - ------
+--R          6x - 4
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1236
+
+--S 1237 of 3330
+r0000:=-1/6*log(2-3*x)
+--R 
+--R
+--R          log(- 3x + 2)
+--R   (2)  - -------------
+--R                6
+--R                                                    Type: Expression(Integer)
+--E 1237
+
+--S 1238 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          log(3x - 2)
+--R   (3)  - -----------
+--R               6
+--R                                         Type: Union(Expression(Integer),...)
+--E 1238
+
+--S 1239 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R        - log(3x - 2) + log(- 3x + 2)
+--R   (4)  -----------------------------
+--R                      6
+--R                                                    Type: Expression(Integer)
+--E 1239
+
+--S 1240 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1240
+
+)clear all
+
+--S 1241 of 3330
+t0000:=1/(a+x*sqrt(a))
+--R 
+--R
+--R            1
+--R   (1)  ---------
+--R          +-+
+--R        x\|a  + a
+--R                                                    Type: Expression(Integer)
+--E 1241
+
+--S 1242 of 3330
+r0000:=log(x+sqrt(a))/sqrt(a)
+--R 
+--R
+--R             +-+
+--R        log(\|a  + x)
+--R   (2)  -------------
+--R              +-+
+--R             \|a
+--R                                                    Type: Expression(Integer)
+--E 1242
+
+--S 1243 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              +-+
+--R        log(x\|a  + a)
+--R   (3)  --------------
+--R              +-+
+--R             \|a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1243
+
+--S 1244 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R              +-+             +-+
+--R        log(x\|a  + a) - log(\|a  + x)
+--R   (4)  ------------------------------
+--R                      +-+
+--R                     \|a
+--R                                                    Type: Expression(Integer)
+--E 1244
+
+--S 1245 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1245
+
+)clear all
+
+--S 1246 of 3330
+t0000:=1/(a+x*sqrt(-a))
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R          +---+
+--R        x\|- a  + a
+--R                                                    Type: Expression(Integer)
+--E 1246
+
+--S 1247 of 3330
+r0000:=log(-x+sqrt(-a))/sqrt(-a)
+--R 
+--R
+--R             +---+
+--R        log(\|- a  - x)
+--R   (2)  ---------------
+--R              +---+
+--R             \|- a
+--R                                                    Type: Expression(Integer)
+--E 1247
+
+--S 1248 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              +---+
+--R        log(x\|- a  + a)
+--R   (3)  ----------------
+--R              +---+
+--R             \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1248
+
+--S 1249 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R              +---+             +---+
+--R        log(x\|- a  + a) - log(\|- a  - x)
+--R   (4)  ----------------------------------
+--R                       +---+
+--R                      \|- a
+--R                                                    Type: Expression(Integer)
+--E 1249
+
+--S 1250 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1250
+
+)clear all
+
+--S 1251 of 3330
+t0000:=1/(a^2+x*sqrt(-a))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R          +---+    2
+--R        x\|- a  + a
+--R                                                    Type: Expression(Integer)
+--E 1251
+
+--S 1252 of 3330
+r0000:=log((-a)^(3/2)+x)/sqrt(-a)
+--R 
+--R
+--R                +---+
+--R        log(- a\|- a  + x)
+--R   (2)  ------------------
+--R               +---+
+--R              \|- a
+--R                                                    Type: Expression(Integer)
+--E 1252
+
+--S 1253 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              +---+    2
+--R        log(x\|- a  + a )
+--R   (3)  -----------------
+--R               +---+
+--R              \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1253
+
+--S 1254 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R              +---+    2            +---+
+--R        log(x\|- a  + a ) - log(- a\|- a  + x)
+--R   (4)  --------------------------------------
+--R                         +---+
+--R                        \|- a
+--R                                                    Type: Expression(Integer)
+--E 1254
+
+--S 1255 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1255
+
+)clear all
+
+--S 1256 of 3330
+t0000:=1/(a^3+x*sqrt(-a))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R          +---+    3
+--R        x\|- a  + a
+--R                                                    Type: Expression(Integer)
+--E 1256
+
+--S 1257 of 3330
+r0000:=log((-a)^(5/2)-x)/sqrt(-a)
+--R 
+--R
+--R             2 +---+
+--R        log(a \|- a  - x)
+--R   (2)  -----------------
+--R               +---+
+--R              \|- a
+--R                                                    Type: Expression(Integer)
+--E 1257
+
+--S 1258 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              +---+    3
+--R        log(x\|- a  + a )
+--R   (3)  -----------------
+--R               +---+
+--R              \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1258
+
+--S 1259 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R              +---+    3         2 +---+
+--R        log(x\|- a  + a ) - log(a \|- a  - x)
+--R   (4)  -------------------------------------
+--R                         +---+
+--R                        \|- a
+--R                                                    Type: Expression(Integer)
+--E 1259
+
+--S 1260 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1260
+
+)clear all
+
+--S 1261 of 3330
+t0000:=1/(1/a+x*sqrt(-a))
+--R 
+--R
+--R              a
+--R   (1)  -------------
+--R            +---+
+--R        a x\|- a  + 1
+--R                                                    Type: Expression(Integer)
+--E 1261
+
+--S 1262 of 3330
+r0000:=log(1-(-a)^(3/2)*x)/sqrt(-a)
+--R 
+--R
+--R                +---+
+--R        log(a x\|- a  + 1)
+--R   (2)  ------------------
+--R               +---+
+--R              \|- a
+--R                                                    Type: Expression(Integer)
+--E 1262
+
+--S 1263 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                +---+
+--R        log(a x\|- a  + 1)
+--R   (3)  ------------------
+--R               +---+
+--R              \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1263
+
+--S 1264 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1264
+
+--S 1265 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1265
+
+)clear all
+
+--S 1266 of 3330
+t0000:=1/(1/a^2+x*sqrt(-a))
+--R 
+--R
+--R               2
+--R              a
+--R   (1)  -------------
+--R         2  +---+
+--R        a x\|- a  + 1
+--R                                                    Type: Expression(Integer)
+--E 1266
+
+--S 1267 of 3330
+r0000:=log(1+(-a)^(5/2)*x)/sqrt(-a)
+--R 
+--R
+--R             2  +---+
+--R        log(a x\|- a  + 1)
+--R   (2)  ------------------
+--R               +---+
+--R              \|- a
+--R                                                    Type: Expression(Integer)
+--E 1267
+
+--S 1268 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             2  +---+
+--R        log(a x\|- a  + 1)
+--R   (3)  ------------------
+--R               +---+
+--R              \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1268
+
+--S 1269 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1269
+
+--S 1270 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1270
+
+)clear all
+
+--S 1271 of 3330
+t0000:=1/(x*(1+b*x))
+--R 
+--R
+--R            1
+--R   (1)  --------
+--R           2
+--R        b x  + x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1271
+
+--S 1272 of 3330
+r0000:=log(x)-log(1+b*x)
+--R 
+--R
+--R   (2)  - log(b x + 1) + log(x)
+--R                                                    Type: Expression(Integer)
+--E 1272
+
+--S 1273 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  - log(b x + 1) + log(x)
+--R                                         Type: Union(Expression(Integer),...)
+--E 1273
+
+--S 1274 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1274
+
+--S 1275 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1275
+
+)clear all
+
+--S 1276 of 3330
+t0000:=1/(x*(-1+b*x))
+--R 
+--R
+--R            1
+--R   (1)  --------
+--R           2
+--R        b x  - x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1276
+
+--S 1277 of 3330
+r0000:=-log(x)+log(1-b*x)
+--R 
+--R
+--R   (2)  - log(x) + log(- b x + 1)
+--R                                                    Type: Expression(Integer)
+--E 1277
+
+--S 1278 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)  log(b x - 1) - log(x)
+--R                                         Type: Union(Expression(Integer),...)
+--E 1278
+
+--S 1279 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  log(b x - 1) - log(- b x + 1)
+--R                                                    Type: Expression(Integer)
+--E 1279
+
+--S 1280 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1280
+
+)clear all
+
+--S 1281 of 3330
+t0000:=1/(x^2*(1+b*x))
+--R 
+--R
+--R            1
+--R   (1)  ---------
+--R           3    2
+--R        b x  + x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1281
+
+--S 1282 of 3330
+r0000:=(-1)/x-b*log(x)+b*log(1+b*x)
+--R 
+--R
+--R        b x log(b x + 1) - b x log(x) - 1
+--R   (2)  ---------------------------------
+--R                        x
+--R                                                    Type: Expression(Integer)
+--E 1282
+
+--S 1283 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        b x log(b x + 1) - b x log(x) - 1
+--R   (3)  ---------------------------------
+--R                        x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1283
+
+--S 1284 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1284
+
+--S 1285 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1285
+
+)clear all
+
+--S 1286 of 3330
+t0000:=1/(x^2*(-1+b*x))
+--R 
+--R
+--R            1
+--R   (1)  ---------
+--R           3    2
+--R        b x  - x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1286
+
+--S 1287 of 3330
+r0000:=1/x-b*log(x)+b*log(1-b*x)
+--R 
+--R
+--R        - b x log(x) + b x log(- b x + 1) + 1
+--R   (2)  -------------------------------------
+--R                          x
+--R                                                    Type: Expression(Integer)
+--E 1287
+
+--S 1288 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        b x log(b x - 1) - b x log(x) + 1
+--R   (3)  ---------------------------------
+--R                        x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1288
+
+--S 1289 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  b log(b x - 1) - b log(- b x + 1)
+--R                                                    Type: Expression(Integer)
+--E 1289
+
+--S 1290 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1290
+
+)clear all
+
+--S 1291 of 3330
+t0000:=b/x+1/(x^2*(1+b*x))
+--R 
+--R
+--R         2 2
+--R        b x  + b x + 1
+--R   (1)  --------------
+--R              3    2
+--R           b x  + x
+--R                                          Type: Fraction(Polynomial(Integer))
+--E 1291
+
+--S 1292 of 3330
+r0000:=(-1)/x+b*log(1+b*x)
+--R 
+--R
+--R        b x log(b x + 1) - 1
+--R   (2)  --------------------
+--R                  x
+--R                                                    Type: Expression(Integer)
+--E 1292
+
+--S 1293 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        b x log(b x + 1) - 1
+--R   (3)  --------------------
+--R                  x
+--R                                         Type: Union(Expression(Integer),...)
+--E 1293
+
+--S 1294 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1294
+
+--S 1295 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1295
+
+)clear all
+
+--S 1296 of 3330
+t0000:=x^m*sqrt(a+b*x)
+--R 
+--R
+--R         m +-------+
+--R   (1)  x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1296
+
+--S 1297 of 3330
+--r0000:=2*x^(1+m)*sqrt(a+b*x)/(3+2*m)+2*a*x^m*_
+--       hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/_
+--                      (b*(3+2*m)*(-b*x/a)^m)
+--E 1297
+
+--S 1298 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x
+--R         ++    m +--------+
+--R   (2)   |   %N \|%N b + a d%N
+--R        ++
+--R                                         Type: Union(Expression(Integer),...)
+--E 1298
+
+--S 1299 of 3330
+--m0000:=a0000 - r0000
+--E 1299
+
+--S 1300 of 3330
+--d0000:=D(m0000,x)
+--E 1300
+
+)clear all
+
+--S 1301 of 3330
+t0000:=x^3*sqrt(a+b*x)
+--R 
+--R
+--R         3 +-------+
+--R   (1)  x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1301
+
+--S 1302 of 3330
+r0000:=-2/3*a^3*(a+b*x)^(3/2)/b^4+6/5*a^2*(a+b*x)^(5/2)/b^4-_
+     6/7*a*(a+b*x)^(7/2)/b^4+2/9*(a+b*x)^(9/2)/b^4
+--R 
+--R
+--R            4 4        3 3      2 2 2      3         4  +-------+
+--R        (70b x  + 10a b x  - 12a b x  + 16a b x - 32a )\|b x + a
+--R   (2)  ---------------------------------------------------------
+--R                                      4
+--R                                  315b
+--R                                                    Type: Expression(Integer)
+--E 1302
+
+--S 1303 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            4 4        3 3      2 2 2      3         4  +-------+
+--R        (70b x  + 10a b x  - 12a b x  + 16a b x - 32a )\|b x + a
+--R   (3)  ---------------------------------------------------------
+--R                                      4
+--R                                  315b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1303
+
+--S 1304 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1304
+
+--S 1305 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1305
+
+)clear all
+
+--S 1306 of 3330
+t0000:=x^2*sqrt(a+b*x)
+--R 
+--R
+--R         2 +-------+
+--R   (1)  x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1306
+
+--S 1307 of 3330
+r0000:=2/3*a^2*(a+b*x)^(3/2)/b^3-4/5*a*(a+b*x)^(5/2)/b^3+2/7*(a+b*x)^(7/2)/b^3
+--R 
+--R
+--R            3 3       2 2     2         3  +-------+
+--R        (30b x  + 6a b x  - 8a b x + 16a )\|b x + a
+--R   (2)  --------------------------------------------
+--R                                3
+--R                            105b
+--R                                                    Type: Expression(Integer)
+--E 1307
+
+--S 1308 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 3       2 2     2         3  +-------+
+--R        (30b x  + 6a b x  - 8a b x + 16a )\|b x + a
+--R   (3)  --------------------------------------------
+--R                                3
+--R                            105b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1308
+
+--S 1309 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1309
+
+--S 1310 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1310
+
+)clear all
+
+--S 1311 of 3330
+t0000:=x*sqrt(a+b*x)
+--R 
+--R
+--R          +-------+
+--R   (1)  x\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1311
+
+--S 1312 of 3330
+r0000:=-2/3*a*(a+b*x)^(3/2)/b^2+2/5*(a+b*x)^(5/2)/b^2
+--R 
+--R
+--R           2 2              2  +-------+
+--R        (6b x  + 2a b x - 4a )\|b x + a
+--R   (2)  --------------------------------
+--R                         2
+--R                      15b
+--R                                                    Type: Expression(Integer)
+--E 1312
+
+--S 1313 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2              2  +-------+
+--R        (6b x  + 2a b x - 4a )\|b x + a
+--R   (3)  --------------------------------
+--R                         2
+--R                      15b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1313
+
+--S 1314 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1314
+
+--S 1315 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1315
+
+)clear all
+
+--S 1316 of 3330
+t0000:=sqrt(a+b*x)
+--R 
+--R
+--R         +-------+
+--R   (1)  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1316
+
+--S 1317 of 3330
+r0000:=2/3*(a+b*x)^(3/2)/b
+--R 
+--R
+--R                    +-------+
+--R        (2b x + 2a)\|b x + a
+--R   (2)  ---------------------
+--R                  3b
+--R                                                    Type: Expression(Integer)
+--E 1317
+
+--S 1318 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                    +-------+
+--R        (2b x + 2a)\|b x + a
+--R   (3)  ---------------------
+--R                  3b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1318
+
+--S 1319 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1319
+
+--S 1320 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1320
+
+)clear all
+
+--S 1321 of 3330
+t0000:=sqrt(a+b*x)/x
+--R 
+--R
+--R         +-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R             x
+--R                                                    Type: Expression(Integer)
+--E 1321
+
+--S 1322 of 3330
+r0000:=-2*atanh(sqrt(a+b*x)/sqrt(a))*sqrt(a)+2*sqrt(a+b*x)
+--R 
+--R
+--R                      +-------+
+--R            +-+      \|b x + a       +-------+
+--R   (2)  - 2\|a atanh(----------) + 2\|b x + a
+--R                         +-+
+--R                        \|a
+--R                                                    Type: Expression(Integer)
+--E 1322
+
+--S 1323 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                +-+ +-------+
+--R     +-+    - 2\|a \|b x + a  + b x + 2a      +-------+
+--R   [\|a log(----------------------------) + 2\|b x + a ,
+--R                          x
+--R                   +-------+
+--R        +---+     \|b x + a       +-------+
+--R    - 2\|- a atan(----------) + 2\|b x + a ]
+--R                     +---+
+--R                    \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1323
+
+--S 1324 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                    +-+ +-------+                           +-------+
+--R         +-+    - 2\|a \|b x + a  + b x + 2a      +-+      \|b x + a
+--R   (4)  \|a log(----------------------------) + 2\|a atanh(----------)
+--R                              x                                +-+
+--R                                                              \|a
+--R                                                    Type: Expression(Integer)
+--E 1324
+
+--S 1325 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1325
+
+--S 1326 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                    +-------+                 +-------+
+--R          +-+      \|b x + a       +---+     \|b x + a
+--R   (6)  2\|a atanh(----------) - 2\|- a atan(----------)
+--R                       +-+                      +---+
+--R                      \|a                      \|- a
+--R                                                    Type: Expression(Integer)
+--E 1326
+
+--S 1327 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1327
+
+)clear all
+
+--S 1328 of 3330
+t0000:=sqrt(a+b*x)/x^2
+--R 
+--R
+--R         +-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R             2
+--R            x
+--R                                                    Type: Expression(Integer)
+--E 1328
+
+--S 1329 of 3330
+r0000:=-b*atanh(sqrt(a+b*x)/sqrt(a))/sqrt(a)-sqrt(a+b*x)/x
+--R 
+--R
+--R                     +-------+
+--R                    \|b x + a      +-+ +-------+
+--R        - b x atanh(----------) - \|a \|b x + a
+--R                        +-+
+--R                       \|a
+--R   (2)  ----------------------------------------
+--R                            +-+
+--R                          x\|a
+--R                                                    Type: Expression(Integer)
+--E 1329
+
+--S 1330 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                 +-------+              +-+
+--R            - 2a\|b x + a  + (b x + 2a)\|a       +-+ +-------+
+--R    b x log(-------------------------------) - 2\|a \|b x + a
+--R                           x
+--R   [----------------------------------------------------------,
+--R                                 +-+
+--R                              2x\|a
+--R                +---+ +-------+
+--R               \|- a \|b x + a      +---+ +-------+
+--R    - b x atan(----------------) - \|- a \|b x + a
+--R                       a
+--R    -----------------------------------------------]
+--R                          +---+
+--R                        x\|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1330
+
+--S 1331 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                   +-------+              +-+              +-------+
+--R              - 2a\|b x + a  + (b x + 2a)\|a              \|b x + a
+--R        b log(-------------------------------) + 2b atanh(----------)
+--R                             x                                +-+
+--R                                                             \|a
+--R   (4)  -------------------------------------------------------------
+--R                                      +-+
+--R                                    2\|a
+--R                                                    Type: Expression(Integer)
+--E 1331
+
+--S 1332 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1332
+
+--S 1333 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-------+               +---+ +-------+
+--R          +---+      \|b x + a       +-+     \|- a \|b x + a
+--R        b\|- a atanh(----------) - b\|a atan(----------------)
+--R                         +-+                         a
+--R                        \|a
+--R   (6)  ------------------------------------------------------
+--R                               +---+ +-+
+--R                              \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1333
+
+--S 1334 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1334
+
+)clear all
+
+--S 1335 of 3330
+t0000:=sqrt(a+b*x)/x^3
+--R 
+--R
+--R         +-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R             3
+--R            x
+--R                                                    Type: Expression(Integer)
+--E 1335
+
+--S 1336 of 3330
+r0000:=1/4*b^2*atanh(sqrt(a+b*x)/sqrt(a))/a^(3/2)-_
+     1/2*sqrt(a+b*x)/x^2-1/4*b*sqrt(a+b*x)/(a*x)
+--R 
+--R
+--R                   +-------+
+--R         2 2      \|b x + a                  +-+ +-------+
+--R        b x atanh(----------) + (- b x - 2a)\|a \|b x + a
+--R                      +-+
+--R                     \|a
+--R   (2)  --------------------------------------------------
+--R                                 2 +-+
+--R                             4a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1336
+
+--S 1337 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               +-------+              +-+
+--R     2 2    2a\|b x + a  + (b x + 2a)\|a                   +-+ +-------+
+--R    b x log(-----------------------------) + (- 2b x - 4a)\|a \|b x + a
+--R                          x
+--R   [--------------------------------------------------------------------,
+--R                                      2 +-+
+--R                                  8a x \|a
+--R              +---+ +-------+
+--R     2 2     \|- a \|b x + a                  +---+ +-------+
+--R    b x atan(----------------) + (- b x - 2a)\|- a \|b x + a
+--R                     a
+--R    ---------------------------------------------------------]
+--R                               2 +---+
+--R                           4a x \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1337
+
+--S 1338 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                 +-------+              +-+              +-------+
+--R         2    2a\|b x + a  + (b x + 2a)\|a       2      \|b x + a
+--R        b log(-----------------------------) - 2b atanh(----------)
+--R                            x                               +-+
+--R                                                           \|a
+--R   (4)  -----------------------------------------------------------
+--R                                      +-+
+--R                                   8a\|a
+--R                                                    Type: Expression(Integer)
+--E 1338
+
+--S 1339 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1339
+
+--S 1340 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-------+                +---+ +-------+
+--R           2 +---+      \|b x + a      2 +-+     \|- a \|b x + a
+--R        - b \|- a atanh(----------) + b \|a atan(----------------)
+--R                            +-+                          a
+--R                           \|a
+--R   (6)  ----------------------------------------------------------
+--R                                  +---+ +-+
+--R                               4a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1340
+
+--S 1341 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1341
+
+)clear all
+
+--S 1342 of 3330
+t0000:=sqrt(a+b*x)/x^4
+--R 
+--R
+--R         +-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R             4
+--R            x
+--R                                                    Type: Expression(Integer)
+--E 1342
+
+--S 1343 of 3330
+r0000:=-1/8*b^3*atanh(sqrt(a+b*x)/sqrt(a))/a^(5/2)-1/3*sqrt(a+b*x)/x^3-_
+     1/12*b*sqrt(a+b*x)/(a*x^2)+1/8*b^2*sqrt(a+b*x)/(a^2*x)
+--R 
+--R
+--R                      +-------+
+--R            3 3      \|b x + a        2 2              2  +-+ +-------+
+--R        - 3b x atanh(----------) + (3b x  - 2a b x - 8a )\|a \|b x + a
+--R                         +-+
+--R                        \|a
+--R   (2)  ---------------------------------------------------------------
+--R                                      2 3 +-+
+--R                                   24a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1343
+
+--S 1344 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                       +-------+              +-+
+--R           3 3    - 2a\|b x + a  + (b x + 2a)\|a
+--R         3b x log(-------------------------------)
+--R                                 x
+--R       + 
+--R            2 2               2  +-+ +-------+
+--R         (6b x  - 4a b x - 16a )\|a \|b x + a
+--R    /
+--R          2 3 +-+
+--R       48a x \|a
+--R     ,
+--R                 +---+ +-------+
+--R        3 3     \|- a \|b x + a        2 2              2  +---+ +-------+
+--R    - 3b x atan(----------------) + (3b x  - 2a b x - 8a )\|- a \|b x + a
+--R                        a
+--R    ----------------------------------------------------------------------]
+--R                                    2 3 +---+
+--R                                 24a x \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1344
+
+--S 1345 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                   +-------+              +-+              +-------+
+--R         3    - 2a\|b x + a  + (b x + 2a)\|a       3      \|b x + a
+--R        b log(-------------------------------) + 2b atanh(----------)
+--R                             x                                +-+
+--R                                                             \|a
+--R   (4)  -------------------------------------------------------------
+--R                                      2 +-+
+--R                                   16a \|a
+--R                                                    Type: Expression(Integer)
+--E 1345
+
+--S 1346 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1346
+
+--S 1347 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +-------+                +---+ +-------+
+--R         3 +---+      \|b x + a      3 +-+     \|- a \|b x + a
+--R        b \|- a atanh(----------) - b \|a atan(----------------)
+--R                          +-+                          a
+--R                         \|a
+--R   (6)  --------------------------------------------------------
+--R                                2 +---+ +-+
+--R                              8a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1347
+
+--S 1348 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1348
+
+)clear all
+
+--S 1349 of 3330
+t0000:=x^m*(a+b*x)^(3/2)
+--R 
+--R
+--R                  m +-------+
+--R   (1)  (b x + a)x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1349
+
+--S 1350 of 3330
+--r0000:=2*x^(1+m)*(a+b*x)^(3/2)/(5+2*m)+_
+--       6*a*x^(1+m)*sqrt(a+b*x)/(15+16*m+4*m^2)+_
+--       6*a^2*x^m*hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/_
+--       (b*(15+16*m+4*m^2)*(-b*x/a)^m)
+--E 1350
+
+--S 1351 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x
+--R         ++              m +--------+
+--R   (2)   |   (%N b + a)%N \|%N b + a d%N
+--R        ++
+--R                                         Type: Union(Expression(Integer),...)
+--E 1351
+
+--S 1352 of 3330
+--m0000:=a0000 - r0000
+--E 1352
+
+--S 1353 of 3330
+--d0000:=D(m0000,x)
+--E 1353
+
+)clear all
+
+--S 1354 of 3330
+t0000:=x^3*(a+b*x)^(3/2)
+--R 
+--R
+--R            4      3  +-------+
+--R   (1)  (b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1354
+
+--S 1355 of 3330
+r0000:=-2/5*a^3*(a+b*x)^(5/2)/b^4+6/7*a^2*(a+b*x)^(7/2)/b^4-_
+     2/3*a*(a+b*x)^(9/2)/b^4+2/11*(a+b*x)^(11/2)/b^4
+--R 
+--R
+--R             5 5         4 4      2 3 3      3 2 2      4         5  +-------+
+--R        (210b x  + 280a b x  + 10a b x  - 12a b x  + 16a b x - 32a )\|b x + a
+--R   (2)  ----------------------------------------------------------------------
+--R                                             4
+--R                                        1155b
+--R                                                    Type: Expression(Integer)
+--E 1355
+
+--S 1356 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             5 5         4 4      2 3 3      3 2 2      4         5  +-------+
+--R        (210b x  + 280a b x  + 10a b x  - 12a b x  + 16a b x - 32a )\|b x + a
+--R   (3)  ----------------------------------------------------------------------
+--R                                             4
+--R                                        1155b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1356
+
+--S 1357 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1357
+
+--S 1358 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1358
+
+)clear all
+
+--S 1359 of 3330
+t0000:=x^2*(a+b*x)^(3/2)
+--R 
+--R
+--R            3      2  +-------+
+--R   (1)  (b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1359
+
+--S 1360 of 3330
+r0000:=2/5*a^2*(a+b*x)^(5/2)/b^3-4/7*a*(a+b*x)^(7/2)/b^3+2/9*(a+b*x)^(9/2)/b^3
+--R 
+--R
+--R            4 4         3 3     2 2 2     3         4  +-------+
+--R        (70b x  + 100a b x  + 6a b x  - 8a b x + 16a )\|b x + a
+--R   (2)  --------------------------------------------------------
+--R                                      3
+--R                                  315b
+--R                                                    Type: Expression(Integer)
+--E 1360
+
+--S 1361 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            4 4         3 3     2 2 2     3         4  +-------+
+--R        (70b x  + 100a b x  + 6a b x  - 8a b x + 16a )\|b x + a
+--R   (3)  --------------------------------------------------------
+--R                                      3
+--R                                  315b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1361
+
+--S 1362 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1362
+
+--S 1363 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1363
+
+)clear all
+
+--S 1364 of 3330
+t0000:=x*(a+b*x)^(3/2)
+--R 
+--R
+--R            2        +-------+
+--R   (1)  (b x  + a x)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1364
+
+--S 1365 of 3330
+r0000:=-2/5*a*(a+b*x)^(5/2)/b^2+2/7*(a+b*x)^(7/2)/b^2
+--R 
+--R
+--R            3 3        2 2     2        3  +-------+
+--R        (10b x  + 16a b x  + 2a b x - 4a )\|b x + a
+--R   (2)  --------------------------------------------
+--R                               2
+--R                            35b
+--R                                                    Type: Expression(Integer)
+--E 1365
+
+--S 1366 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 3        2 2     2        3  +-------+
+--R        (10b x  + 16a b x  + 2a b x - 4a )\|b x + a
+--R   (3)  --------------------------------------------
+--R                               2
+--R                            35b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1366
+
+--S 1367 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1367
+
+--S 1368 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1368
+
+)clear all
+
+--S 1369 of 3330
+t0000:=(a+b*x)^(3/2)
+--R 
+--R
+--R                  +-------+
+--R   (1)  (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1369
+
+--S 1370 of 3330
+r0000:=2/5*(a+b*x)^(5/2)/b
+--R 
+--R
+--R           2 2              2  +-------+
+--R        (2b x  + 4a b x + 2a )\|b x + a
+--R   (2)  --------------------------------
+--R                       5b
+--R                                                    Type: Expression(Integer)
+--E 1370
+
+--S 1371 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2              2  +-------+
+--R        (2b x  + 4a b x + 2a )\|b x + a
+--R   (3)  --------------------------------
+--R                       5b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1371
+
+--S 1372 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1372
+
+--S 1373 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1373
+
+)clear all
+
+--S 1374 of 3330
+t0000:=(a+b*x)^(3/2)/x
+--R 
+--R
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1374
+
+--S 1375 of 3330
+r0000:=2/3*(a+b*x)^(3/2)-2*a^(3/2)*atanh(sqrt(a+b*x)/sqrt(a))+2*a*sqrt(a+b*x)
+--R 
+--R
+--R                       +-------+
+--R             +-+      \|b x + a                 +-------+
+--R        - 6a\|a atanh(----------) + (2b x + 8a)\|b x + a
+--R                          +-+
+--R                         \|a
+--R   (2)  -------------------------------------------------
+--R                                3
+--R                                                    Type: Expression(Integer)
+--E 1375
+
+--S 1376 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                  +-+ +-------+
+--R       +-+    - 2\|a \|b x + a  + b x + 2a                +-------+
+--R    3a\|a log(----------------------------) + (2b x + 8a)\|b x + a
+--R                            x
+--R   [---------------------------------------------------------------,
+--R                                   3
+--R                    +-------+
+--R         +---+     \|b x + a                 +-------+
+--R    - 6a\|- a atan(----------) + (2b x + 8a)\|b x + a
+--R                      +---+
+--R                     \|- a
+--R    --------------------------------------------------]
+--R                             3
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1376
+
+--S 1377 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                     +-+ +-------+                            +-------+
+--R          +-+    - 2\|a \|b x + a  + b x + 2a       +-+      \|b x + a
+--R   (4)  a\|a log(----------------------------) + 2a\|a atanh(----------)
+--R                               x                                 +-+
+--R                                                                \|a
+--R                                                    Type: Expression(Integer)
+--E 1377
+
+--S 1378 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1378
+
+--S 1379 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                     +-------+                  +-------+
+--R           +-+      \|b x + a        +---+     \|b x + a
+--R   (6)  2a\|a atanh(----------) - 2a\|- a atan(----------)
+--R                        +-+                       +---+
+--R                       \|a                       \|- a
+--R                                                    Type: Expression(Integer)
+--E 1379
+
+--S 1380 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1380
+
+)clear all
+
+--S 1381 of 3330
+t0000:=(a+b*x)^(3/2)/x^2
+--R 
+--R
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                  2
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1381
+
+--S 1382 of 3330
+r0000:=-(a+b*x)^(3/2)/x-3*b*atanh(sqrt(a+b*x)/sqrt(a))*sqrt(a)+3*b*sqrt(a+b*x)
+--R 
+--R
+--R                         +-------+
+--R               +-+      \|b x + a                +-------+
+--R        - 3b x\|a atanh(----------) + (2b x - a)\|b x + a
+--R                            +-+
+--R                           \|a
+--R   (2)  --------------------------------------------------
+--R                                 x
+--R                                                    Type: Expression(Integer)
+--E 1382
+
+--S 1383 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                    +-+ +-------+
+--R         +-+    - 2\|a \|b x + a  + b x + 2a                +-------+
+--R    3b x\|a log(----------------------------) + (4b x - 2a)\|b x + a
+--R                              x
+--R   [-----------------------------------------------------------------,
+--R                                    2x
+--R                      +-------+
+--R           +---+     \|b x + a                +-------+
+--R    - 3b x\|- a atan(----------) + (2b x - a)\|b x + a
+--R                        +---+
+--R                       \|- a
+--R    ---------------------------------------------------]
+--R                             x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1383
+
+--S 1384 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                      +-+ +-------+                            +-------+
+--R           +-+    - 2\|a \|b x + a  + b x + 2a       +-+      \|b x + a
+--R        3b\|a log(----------------------------) + 6b\|a atanh(----------)
+--R                                x                                 +-+
+--R                                                                 \|a
+--R   (4)  -----------------------------------------------------------------
+--R                                        2
+--R                                                    Type: Expression(Integer)
+--E 1384
+
+--S 1385 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1385
+
+--S 1386 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                     +-------+                  +-------+
+--R           +-+      \|b x + a        +---+     \|b x + a
+--R   (6)  3b\|a atanh(----------) - 3b\|- a atan(----------)
+--R                        +-+                       +---+
+--R                       \|a                       \|- a
+--R                                                    Type: Expression(Integer)
+--E 1386
+
+--S 1387 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1387
+
+)clear all
+
+--S 1388 of 3330
+t0000:=(a+b*x)^(3/2)/x^3
+--R 
+--R
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                  3
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1388
+
+--S 1389 of 3330
+r0000:=-1/2*(a+b*x)^(3/2)/x^2-3/4*b^2*atanh(sqrt(a+b*x)/sqrt(a))/sqrt(a)-_
+     3/4*b*sqrt(a+b*x)/x
+--R 
+--R
+--R                      +-------+
+--R            2 2      \|b x + a                   +-+ +-------+
+--R        - 3b x atanh(----------) + (- 5b x - 2a)\|a \|b x + a
+--R                         +-+
+--R                        \|a
+--R   (2)  ------------------------------------------------------
+--R                                  2 +-+
+--R                                4x \|a
+--R                                                    Type: Expression(Integer)
+--E 1389
+
+--S 1390 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                  +-------+              +-+
+--R      2 2    - 2a\|b x + a  + (b x + 2a)\|a                    +-+ +-------+
+--R    3b x log(-------------------------------) + (- 10b x - 4a)\|a \|b x + a
+--R                            x
+--R   [------------------------------------------------------------------------,
+--R                                       2 +-+
+--R                                     8x \|a
+--R                 +---+ +-------+
+--R        2 2     \|- a \|b x + a                   +---+ +-------+
+--R    - 3b x atan(----------------) + (- 5b x - 2a)\|- a \|b x + a
+--R                        a
+--R    -------------------------------------------------------------]
+--R                                2 +---+
+--R                              4x \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1390
+
+--S 1391 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                    +-------+              +-+              +-------+
+--R          2    - 2a\|b x + a  + (b x + 2a)\|a       2      \|b x + a
+--R        3b log(-------------------------------) + 6b atanh(----------)
+--R                              x                                +-+
+--R                                                              \|a
+--R   (4)  --------------------------------------------------------------
+--R                                       +-+
+--R                                     8\|a
+--R                                                    Type: Expression(Integer)
+--E 1391
+
+--S 1392 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1392
+
+--S 1393 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                        +-------+                 +---+ +-------+
+--R          2 +---+      \|b x + a       2 +-+     \|- a \|b x + a
+--R        3b \|- a atanh(----------) - 3b \|a atan(----------------)
+--R                           +-+                           a
+--R                          \|a
+--R   (6)  ----------------------------------------------------------
+--R                                  +---+ +-+
+--R                                4\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1393
+
+--S 1394 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1394
+
+)clear all
+
+--S 1395 of 3330
+t0000:=(a+b*x)^(3/2)/x^4
+--R 
+--R
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                  4
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1395
+
+--S 1396 of 3330
+r0000:=-1/3*(a+b*x)^(3/2)/x^3+1/8*b^3*atanh(sqrt(a+b*x)/sqrt(a))/a^(3/2)-_
+     1/4*b*sqrt(a+b*x)/x^2-1/8*b^2*sqrt(a+b*x)/(a*x)
+--R 
+--R
+--R                    +-------+
+--R          3 3      \|b x + a          2 2               2  +-+ +-------+
+--R        3b x atanh(----------) + (- 3b x  - 14a b x - 8a )\|a \|b x + a
+--R                       +-+
+--R                      \|a
+--R   (2)  ----------------------------------------------------------------
+--R                                        3 +-+
+--R                                   24a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1396
+
+--S 1397 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                     +-------+              +-+
+--R           3 3    2a\|b x + a  + (b x + 2a)\|a
+--R         3b x log(-----------------------------)
+--R                                x
+--R       + 
+--R              2 2                2  +-+ +-------+
+--R         (- 6b x  - 28a b x - 16a )\|a \|b x + a
+--R    /
+--R            3 +-+
+--R       48a x \|a
+--R     ,
+--R               +---+ +-------+
+--R      3 3     \|- a \|b x + a          2 2               2  +---+ +-------+
+--R    3b x atan(----------------) + (- 3b x  - 14a b x - 8a )\|- a \|b x + a
+--R                      a
+--R    -----------------------------------------------------------------------]
+--R                                       3 +---+
+--R                                  24a x \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1397
+
+--S 1398 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                 +-------+              +-+              +-------+
+--R         3    2a\|b x + a  + (b x + 2a)\|a       3      \|b x + a
+--R        b log(-----------------------------) - 2b atanh(----------)
+--R                            x                               +-+
+--R                                                           \|a
+--R   (4)  -----------------------------------------------------------
+--R                                      +-+
+--R                                  16a\|a
+--R                                                    Type: Expression(Integer)
+--E 1398
+
+--S 1399 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1399
+
+--S 1400 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-------+                +---+ +-------+
+--R           3 +---+      \|b x + a      3 +-+     \|- a \|b x + a
+--R        - b \|- a atanh(----------) + b \|a atan(----------------)
+--R                            +-+                          a
+--R                           \|a
+--R   (6)  ----------------------------------------------------------
+--R                                  +---+ +-+
+--R                               8a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1400
+
+--S 1401 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1401
+
+)clear all
+
+--S 1402 of 3330
+t0000:=x^m*(a+b*x)^(5/2)
+--R 
+--R
+--R          2 2             2  m +-------+
+--R   (1)  (b x  + 2a b x + a )x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1402
+
+--S 1403 of 3330
+--r0000:=10*a*x^(1+m)*(a+b*x)^(3/2)/(35+24*m+4*m^2)+_
+--       2*x^(1+m)*(a+b*x)^(5/2)/(7+2*m)+_
+--       30*a^2*x^(1+m)*sqrt(a+b*x)/((7+2*m)*(15+16*m+4*m^2))+_
+--       30*a^3*x^m*hypergeometric(1/2,-m,3/2,(a+b*x)/a)*_
+--       sqrt(a+b*x)/(b*(7+2*m)*(15+16*m+4*m^2)*(-b*x/a)^m)
+--E 1403
+
+--S 1404 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x
+--R         ++     2 2              2   m +--------+
+--R   (2)   |   (%N b  + 2%N a b + a )%N \|%N b + a d%N
+--R        ++
+--R                                         Type: Union(Expression(Integer),...)
+--E 1404
+
+--S 1405 of 3330
+--m0000:=a0000 - r0000
+--E 1405
+
+--S 1406 of 3330
+--d0000:=D(m0000,x)
+--E 1406
+
+)clear all
+
+--S 1407 of 3330
+t0000:=x^3*(a+b*x)^(5/2)
+--R 
+--R
+--R          2 5         4    2 3  +-------+
+--R   (1)  (b x  + 2a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1407
+
+--S 1408 of 3330
+r0000:=-2/7*a^3*(a+b*x)^(7/2)/b^4+2/3*a^2*(a+b*x)^(9/2)/b^4-_
+     6/11*a*(a+b*x)^(11/2)/b^4+2/13*(a+b*x)^(13/2)/b^4
+--R 
+--R
+--R   (2)
+--R            6 6          5 5       2 4 4      3 3 3      4 2 2      5         6
+--R       (462b x  + 1134a b x  + 742a b x  + 10a b x  - 12a b x  + 16a b x - 32a )
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R          4
+--R     3003b
+--R                                                    Type: Expression(Integer)
+--E 1408
+
+--S 1409 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            6 6          5 5       2 4 4      3 3 3      4 2 2      5         6
+--R       (462b x  + 1134a b x  + 742a b x  + 10a b x  - 12a b x  + 16a b x - 32a )
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R          4
+--R     3003b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1409
+
+--S 1410 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1410
+
+--S 1411 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1411
+
+)clear all
+
+--S 1412 of 3330
+t0000:=x^2*(a+b*x)^(5/2)
+--R 
+--R
+--R          2 4         3    2 2  +-------+
+--R   (1)  (b x  + 2a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1412
+
+--S 1413 of 3330
+r0000:=2/7*a^2*(a+b*x)^(7/2)/b^3-4/9*a*(a+b*x)^(9/2)/b^3+_
+     2/11*(a+b*x)^(11/2)/b^3
+--R 
+--R
+--R             5 5         4 4       2 3 3     3 2 2     4         5  +-------+
+--R        (126b x  + 322a b x  + 226a b x  + 6a b x  - 8a b x + 16a )\|b x + a
+--R   (2)  ---------------------------------------------------------------------
+--R                                            3
+--R                                        693b
+--R                                                    Type: Expression(Integer)
+--E 1413
+
+--S 1414 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             5 5         4 4       2 3 3     3 2 2     4         5  +-------+
+--R        (126b x  + 322a b x  + 226a b x  + 6a b x  - 8a b x + 16a )\|b x + a
+--R   (3)  ---------------------------------------------------------------------
+--R                                            3
+--R                                        693b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1414
+
+--S 1415 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1415
+
+--S 1416 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1416
+
+)clear all
+
+--S 1417 of 3330
+t0000:=x*(a+b*x)^(5/2)
+--R 
+--R
+--R          2 3         2    2   +-------+
+--R   (1)  (b x  + 2a b x  + a x)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1417
+
+--S 1418 of 3330
+r0000:=-2/7*a*(a+b*x)^(7/2)/b^2+2/9*(a+b*x)^(9/2)/b^2
+--R 
+--R
+--R            4 4        3 3      2 2 2     3        4  +-------+
+--R        (14b x  + 38a b x  + 30a b x  + 2a b x - 4a )\|b x + a
+--R   (2)  -------------------------------------------------------
+--R                                     2
+--R                                  63b
+--R                                                    Type: Expression(Integer)
+--E 1418
+
+--S 1419 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            4 4        3 3      2 2 2     3        4  +-------+
+--R        (14b x  + 38a b x  + 30a b x  + 2a b x - 4a )\|b x + a
+--R   (3)  -------------------------------------------------------
+--R                                     2
+--R                                  63b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1419
+
+--S 1420 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1420
+
+--S 1421 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1421
+
+)clear all
+
+--S 1422 of 3330
+t0000:=(a+b*x)^(5/2)
+--R 
+--R
+--R          2 2             2  +-------+
+--R   (1)  (b x  + 2a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1422
+
+--S 1423 of 3330
+r0000:=2/7*(a+b*x)^(7/2)/b
+--R 
+--R
+--R           3 3       2 2     2        3  +-------+
+--R        (2b x  + 6a b x  + 6a b x + 2a )\|b x + a
+--R   (2)  ------------------------------------------
+--R                            7b
+--R                                                    Type: Expression(Integer)
+--E 1423
+
+--S 1424 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           3 3       2 2     2        3  +-------+
+--R        (2b x  + 6a b x  + 6a b x + 2a )\|b x + a
+--R   (3)  ------------------------------------------
+--R                            7b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1424
+
+--S 1425 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1425
+
+--S 1426 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1426
+
+)clear all
+
+--S 1427 of 3330
+t0000:=(a+b*x)^(5/2)/x
+--R 
+--R
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R   (1)  ------------------------------
+--R                       x
+--R                                                    Type: Expression(Integer)
+--E 1427
+
+--S 1428 of 3330
+r0000:=2/3*a*(a+b*x)^(3/2)+2/5*(a+b*x)^(5/2)-_
+     2*a^(5/2)*atanh(sqrt(a+b*x)/sqrt(a))+2*a^2*sqrt(a+b*x)
+--R 
+--R
+--R                         +-------+
+--R             2 +-+      \|b x + a        2 2                2  +-------+
+--R        - 30a \|a atanh(----------) + (6b x  + 22a b x + 46a )\|b x + a
+--R                            +-+
+--R                           \|a
+--R   (2)  ----------------------------------------------------------------
+--R                                       15
+--R                                                    Type: Expression(Integer)
+--E 1428
+
+--S 1429 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                         +-+ +-------+
+--R            2 +-+    - 2\|a \|b x + a  + b x + 2a
+--R         15a \|a log(----------------------------)
+--R                                   x
+--R       + 
+--R            2 2                2  +-------+
+--R         (6b x  + 22a b x + 46a )\|b x + a
+--R    /
+--R       15
+--R     ,
+--R                      +-------+
+--R         2 +---+     \|b x + a        2 2                2  +-------+
+--R    - 30a \|- a atan(----------) + (6b x  + 22a b x + 46a )\|b x + a
+--R                        +---+
+--R                       \|- a
+--R    -----------------------------------------------------------------]
+--R                                    15
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1429
+
+--S 1430 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                      +-+ +-------+                             +-------+
+--R         2 +-+    - 2\|a \|b x + a  + b x + 2a      2 +-+      \|b x + a
+--R   (4)  a \|a log(----------------------------) + 2a \|a atanh(----------)
+--R                                x                                  +-+
+--R                                                                  \|a
+--R                                                    Type: Expression(Integer)
+--E 1430
+
+--S 1431 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1431
+
+--S 1432 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-------+                   +-------+
+--R          2 +-+      \|b x + a       2 +---+     \|b x + a
+--R   (6)  2a \|a atanh(----------) - 2a \|- a atan(----------)
+--R                         +-+                        +---+
+--R                        \|a                        \|- a
+--R                                                    Type: Expression(Integer)
+--E 1432
+
+--S 1433 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1433
+
+)clear all
+
+--S 1434 of 3330
+t0000:=(a+b*x)^(5/2)/x^2
+--R 
+--R
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R   (1)  ------------------------------
+--R                       2
+--R                      x
+--R                                                    Type: Expression(Integer)
+--E 1434
+
+--S 1435 of 3330
+r0000:=5/3*b*(a+b*x)^(3/2)-(a+b*x)^(5/2)/x-_
+     5*a^(3/2)*b*atanh(sqrt(a+b*x)/sqrt(a))+5*a*b*sqrt(a+b*x)
+--R 
+--R
+--R                            +-------+
+--R                  +-+      \|b x + a        2 2               2  +-------+
+--R        - 15a b x\|a atanh(----------) + (2b x  + 14a b x - 3a )\|b x + a
+--R                               +-+
+--R                              \|a
+--R   (2)  ------------------------------------------------------------------
+--R                                        3x
+--R                                                    Type: Expression(Integer)
+--E 1435
+
+--S 1436 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                            +-+ +-------+
+--R                 +-+    - 2\|a \|b x + a  + b x + 2a
+--R         15a b x\|a log(----------------------------)
+--R                                      x
+--R       + 
+--R            2 2               2  +-------+
+--R         (4b x  + 28a b x - 6a )\|b x + a
+--R    /
+--R       6x
+--R     ,
+--R                         +-------+
+--R              +---+     \|b x + a        2 2               2  +-------+
+--R    - 15a b x\|- a atan(----------) + (2b x  + 14a b x - 3a )\|b x + a
+--R                           +---+
+--R                          \|- a
+--R    -------------------------------------------------------------------]
+--R                                     3x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1436
+
+--S 1437 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                        +-+ +-------+                               +-------+
+--R             +-+    - 2\|a \|b x + a  + b x + 2a          +-+      \|b x + a
+--R        5a b\|a log(----------------------------) + 10a b\|a atanh(----------)
+--R                                  x                                    +-+
+--R                                                                      \|a
+--R   (4)  ----------------------------------------------------------------------
+--R                                           2
+--R                                                    Type: Expression(Integer)
+--E 1437
+
+--S 1438 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1438
+
+--S 1439 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +-------+                    +-------+
+--R             +-+      \|b x + a          +---+     \|b x + a
+--R   (6)  5a b\|a atanh(----------) - 5a b\|- a atan(----------)
+--R                          +-+                         +---+
+--R                         \|a                         \|- a
+--R                                                    Type: Expression(Integer)
+--E 1439
+
+--S 1440 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1440
+
+)clear all
+
+--S 1441 of 3330
+t0000:=(a+b*x)^(5/2)/x^3
+--R 
+--R
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R   (1)  ------------------------------
+--R                       3
+--R                      x
+--R                                                    Type: Expression(Integer)
+--E 1441
+
+--S 1442 of 3330
+r0000:=-5/4*b*(a+b*x)^(3/2)/x-1/2*(a+b*x)^(5/2)/x^2-_
+     15/4*b^2*atanh(sqrt(a+b*x)/sqrt(a))*sqrt(a)+15/4*b^2*sqrt(a+b*x)
+--R 
+--R
+--R                           +-------+
+--R             2 2 +-+      \|b x + a        2 2              2  +-------+
+--R        - 15b x \|a atanh(----------) + (8b x  - 9a b x - 2a )\|b x + a
+--R                              +-+
+--R                             \|a
+--R   (2)  ----------------------------------------------------------------
+--R                                         2
+--R                                       4x
+--R                                                    Type: Expression(Integer)
+--E 1442
+
+--S 1443 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                           +-+ +-------+
+--R            2 2 +-+    - 2\|a \|b x + a  + b x + 2a
+--R         15b x \|a log(----------------------------)
+--R                                     x
+--R       + 
+--R             2 2               2  +-------+
+--R         (16b x  - 18a b x - 4a )\|b x + a
+--R    /
+--R         2
+--R       8x
+--R     ,
+--R                        +-------+
+--R         2 2 +---+     \|b x + a        2 2              2  +-------+
+--R    - 15b x \|- a atan(----------) + (8b x  - 9a b x - 2a )\|b x + a
+--R                          +---+
+--R                         \|- a
+--R    -----------------------------------------------------------------]
+--R                                     2
+--R                                   4x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1443
+
+--S 1444 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                        +-+ +-------+                              +-------+
+--R           2 +-+    - 2\|a \|b x + a  + b x + 2a       2 +-+      \|b x + a
+--R        15b \|a log(----------------------------) + 30b \|a atanh(----------)
+--R                                  x                                   +-+
+--R                                                                     \|a
+--R   (4)  ---------------------------------------------------------------------
+--R                                          8
+--R                                                    Type: Expression(Integer)
+--E 1444
+
+--S 1445 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1445
+
+--S 1446 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +-------+                    +-------+
+--R           2 +-+      \|b x + a        2 +---+     \|b x + a
+--R        15b \|a atanh(----------) - 15b \|- a atan(----------)
+--R                          +-+                         +---+
+--R                         \|a                         \|- a
+--R   (6)  ------------------------------------------------------
+--R                                   4
+--R                                                    Type: Expression(Integer)
+--E 1446
+
+--S 1447 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1447
+
+)clear all
+
+--S 1448 of 3330
+t0000:=(a+b*x)^(5/2)/x^4
+--R 
+--R
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R   (1)  ------------------------------
+--R                       4
+--R                      x
+--R                                                    Type: Expression(Integer)
+--E 1448
+
+--S 1449 of 3330
+r0000:=-5/12*b*(a+b*x)^(3/2)/x^2-1/3*(a+b*x)^(5/2)/x^3-_
+     5/8*b^3*atanh(sqrt(a+b*x)/sqrt(a))/sqrt(a)-5/8*b^2*sqrt(a+b*x)/x
+--R 
+--R
+--R                       +-------+
+--R             3 3      \|b x + a           2 2               2  +-+ +-------+
+--R        - 15b x atanh(----------) + (- 33b x  - 26a b x - 8a )\|a \|b x + a
+--R                          +-+
+--R                         \|a
+--R   (2)  --------------------------------------------------------------------
+--R                                         3 +-+
+--R                                      24x \|a
+--R                                                    Type: Expression(Integer)
+--E 1449
+
+--S 1450 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                        +-------+              +-+
+--R            3 3    - 2a\|b x + a  + (b x + 2a)\|a
+--R         15b x log(-------------------------------)
+--R                                  x
+--R       + 
+--R               2 2                2  +-+ +-------+
+--R         (- 66b x  - 52a b x - 16a )\|a \|b x + a
+--R    /
+--R          3 +-+
+--R       48x \|a
+--R     ,
+--R                  +---+ +-------+
+--R         3 3     \|- a \|b x + a           2 2               2  +---+ +-------+
+--R    - 15b x atan(----------------) + (- 33b x  - 26a b x - 8a )\|- a \|b x + a
+--R                         a
+--R    ---------------------------------------------------------------------------]
+--R                                        3 +---+
+--R                                     24x \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1450
+
+--S 1451 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                    +-------+              +-+               +-------+
+--R          3    - 2a\|b x + a  + (b x + 2a)\|a        3      \|b x + a
+--R        5b log(-------------------------------) + 10b atanh(----------)
+--R                              x                                 +-+
+--R                                                               \|a
+--R   (4)  ---------------------------------------------------------------
+--R                                        +-+
+--R                                     16\|a
+--R                                                    Type: Expression(Integer)
+--E 1451
+
+--S 1452 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1452
+
+--S 1453 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                        +-------+                 +---+ +-------+
+--R          3 +---+      \|b x + a       3 +-+     \|- a \|b x + a
+--R        5b \|- a atanh(----------) - 5b \|a atan(----------------)
+--R                           +-+                           a
+--R                          \|a
+--R   (6)  ----------------------------------------------------------
+--R                                  +---+ +-+
+--R                                8\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1453
+
+--S 1454 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1454
+
+)clear all
+
+--S 1455 of 3330
+t0000:=(a+b*x)^(5/2)/x^5
+--R 
+--R
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R   (1)  ------------------------------
+--R                       5
+--R                      x
+--R                                                    Type: Expression(Integer)
+--E 1455
+
+--S 1456 of 3330
+r0000:=-5/24*b*(a+b*x)^(3/2)/x^3-1/4*(a+b*x)^(5/2)/x^4+_
+     5/64*b^4*atanh(sqrt(a+b*x)/sqrt(a))/a^(3/2)-5/32*b^2*sqrt(a+b*x)/x^2-_
+     5/64*b^3*sqrt(a+b*x)/(a*x)
+--R 
+--R
+--R   (2)
+--R                    +-------+
+--R          4 4      \|b x + a
+--R       15b x atanh(----------)
+--R                       +-+
+--R                      \|a
+--R     + 
+--R             3 3         2 2       2         3  +-+ +-------+
+--R       (- 15b x  - 118a b x  - 136a b x - 48a )\|a \|b x + a
+--R  /
+--R           4 +-+
+--R     192a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1456
+
+--S 1457 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                      +-------+              +-+
+--R            4 4    2a\|b x + a  + (b x + 2a)\|a
+--R         15b x log(-----------------------------)
+--R                                 x
+--R       + 
+--R               3 3         2 2       2         3  +-+ +-------+
+--R         (- 30b x  - 236a b x  - 272a b x - 96a )\|a \|b x + a
+--R    /
+--R             4 +-+
+--R       384a x \|a
+--R     ,
+--R
+--R                     +---+ +-------+
+--R            4 4     \|- a \|b x + a
+--R         15b x atan(----------------)
+--R                            a
+--R       + 
+--R               3 3         2 2       2         3  +---+ +-------+
+--R         (- 15b x  - 118a b x  - 136a b x - 48a )\|- a \|b x + a
+--R    /
+--R             4 +---+
+--R       192a x \|- a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1457
+
+--S 1458 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                  +-------+              +-+               +-------+
+--R          4    2a\|b x + a  + (b x + 2a)\|a        4      \|b x + a
+--R        5b log(-----------------------------) - 10b atanh(----------)
+--R                             x                                +-+
+--R                                                             \|a
+--R   (4)  -------------------------------------------------------------
+--R                                        +-+
+--R                                   128a\|a
+--R                                                    Type: Expression(Integer)
+--E 1458
+
+--S 1459 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1459
+
+--S 1460 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                          +-------+                 +---+ +-------+
+--R            4 +---+      \|b x + a       4 +-+     \|- a \|b x + a
+--R        - 5b \|- a atanh(----------) + 5b \|a atan(----------------)
+--R                             +-+                           a
+--R                            \|a
+--R   (6)  ------------------------------------------------------------
+--R                                    +---+ +-+
+--R                                64a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1460
+
+--S 1461 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1461
+
+)clear all
+
+--S 1462 of 3330
+t0000:=x^7*(a+b*x)^(9/2)
+--R 
+--R
+--R          4 11       3 10     2 2 9     3   8    4 7  +-------+
+--R   (1)  (b x   + 4a b x   + 6a b x  + 4a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1462
+
+--S 1463 of 3330
+r0000:=-2/11*a^7*(a+b*x)^(11/2)/b^8+14/13*a^6*(a+b*x)^(13/2)/b^8-_
+     14/5*a^5*(a+b*x)^(15/2)/b^8+70/17*a^4*(a+b*x)^(17/2)/b^8-_
+     70/19*a^3*(a+b*x)^(19/2)/b^8+2*a^2*(a+b*x)^(21/2)/b^8-_
+     14/23*a*(a+b*x)^(23/2)/b^8+2/25*(a+b*x)^(25/2)/b^8
+--R 
+--R
+--R   (2)
+--R                 12 12             11 11            2 10 10            3 9 9
+--R         2124694b  x   + 9330178a b  x   + 15519504a b  x   + 11620180a b x
+--R       + 
+--R                 4 8 8       5 7 7       6 6 6        7 5 5        8 4 4
+--R         3319030a b x  + 858a b x  - 924a b x  + 1008a b x  - 1120a b x
+--R       + 
+--R              9 3 3        10 2 2        11           12
+--R         1280a b x  - 1536a  b x  + 2048a  b x - 4096a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R              8
+--R     26558675b
+--R                                                    Type: Expression(Integer)
+--E 1463
+
+--S 1464 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                 12 12             11 11            2 10 10            3 9 9
+--R         2124694b  x   + 9330178a b  x   + 15519504a b  x   + 11620180a b x
+--R       + 
+--R                 4 8 8       5 7 7       6 6 6        7 5 5        8 4 4
+--R         3319030a b x  + 858a b x  - 924a b x  + 1008a b x  - 1120a b x
+--R       + 
+--R              9 3 3        10 2 2        11           12
+--R         1280a b x  - 1536a  b x  + 2048a  b x - 4096a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R              8
+--R     26558675b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1464
+
+--S 1465 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1465
+
+--S 1466 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1466
+
+)clear all
+
+--S 1467 of 3330
+t0000:=x^6*(a+b*x)^(9/2)
+--R 
+--R
+--R          4 10       3 9     2 2 8     3   7    4 6  +-------+
+--R   (1)  (b x   + 4a b x  + 6a b x  + 4a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1467
+
+--S 1468 of 3330
+r0000:=2/11*a^6*(a+b*x)^(11/2)/b^7-12/13*a^5*(a+b*x)^(13/2)/b^7+_
+     2*a^4*(a+b*x)^(15/2)/b^7-40/17*a^3*(a+b*x)^(17/2)/b^7+_
+     30/19*a^2*(a+b*x)^(19/2)/b^7-4/7*a*(a+b*x)^(21/2)/b^7+_
+     2/23*(a+b*x)^(23/2)/b^7
+--R 
+--R
+--R   (2)
+--R                11 11             10 10           2 9 9           3 8 8
+--R         646646b  x   + 2863718a b  x   + 4813380a b x  + 3652220a b x
+--R       + 
+--R                 4 7 7       5 6 6       6 5 5       7 4 4       8 3 3
+--R         1061918a b x  + 462a b x  - 504a b x  + 560a b x  - 640a b x
+--R       + 
+--R             9 2 2        10           11
+--R         768a b x  - 1024a  b x + 2048a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R             7
+--R     7436429b
+--R                                                    Type: Expression(Integer)
+--E 1468
+
+--S 1469 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                11 11             10 10           2 9 9           3 8 8
+--R         646646b  x   + 2863718a b  x   + 4813380a b x  + 3652220a b x
+--R       + 
+--R                 4 7 7       5 6 6       6 5 5       7 4 4       8 3 3
+--R         1061918a b x  + 462a b x  - 504a b x  + 560a b x  - 640a b x
+--R       + 
+--R             9 2 2        10           11
+--R         768a b x  - 1024a  b x + 2048a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R             7
+--R     7436429b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1469
+
+--S 1470 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1470
+
+--S 1471 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1471
+
+)clear all
+
+--S 1472 of 3330
+t0000:=x^5*(a+b*x)^(9/2)
+--R 
+--R
+--R          4 9       3 8     2 2 7     3   6    4 5  +-------+
+--R   (1)  (b x  + 4a b x  + 6a b x  + 4a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1472
+
+--S 1473 of 3330
+r0000:=-2/11*a^5*(a+b*x)^(11/2)/b^6+10/13*a^4*(a+b*x)^(13/2)/b^6-_
+     4/3*a^3*(a+b*x)^(15/2)/b^6+20/17*a^2*(a+b*x)^(17/2)/b^6-_
+     10/19*a*(a+b*x)^(19/2)/b^6+2/21*(a+b*x)^(21/2)/b^6
+--R 
+--R
+--R   (2)
+--R               10 10            9 9          2 8 8          3 7 7          4 6 6
+--R         92378b  x   + 413270a b x  + 703560a b x  + 542828a b x  + 161546a b x
+--R       + 
+--R             5 5 5       6 4 4       7 3 3       8 2 2       9          10
+--R         126a b x  - 140a b x  + 160a b x  - 192a b x  + 256a b x - 512a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R            6
+--R     969969b
+--R                                                    Type: Expression(Integer)
+--E 1473
+
+--S 1474 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               10 10            9 9          2 8 8          3 7 7          4 6 6
+--R         92378b  x   + 413270a b x  + 703560a b x  + 542828a b x  + 161546a b x
+--R       + 
+--R             5 5 5       6 4 4       7 3 3       8 2 2       9          10
+--R         126a b x  - 140a b x  + 160a b x  - 192a b x  + 256a b x - 512a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R            6
+--R     969969b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1474
+
+--S 1475 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1475
+
+--S 1476 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1476
+
+)clear all
+
+--S 1477 of 3330
+t0000:=x^4*(a+b*x)^(9/2)
+--R 
+--R
+--R          4 8       3 7     2 2 6     3   5    4 4  +-------+
+--R   (1)  (b x  + 4a b x  + 6a b x  + 4a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1477
+
+--S 1478 of 3330
+r0000:=2/11*a^4*(a+b*x)^(11/2)/b^5-8/13*a^3*(a+b*x)^(13/2)/b^5+_
+     4/5*a^2*(a+b*x)^(15/2)/b^5-8/17*a*(a+b*x)^(17/2)/b^5+_
+     2/19*(a+b*x)^(19/2)/b^5
+--R 
+--R
+--R   (2)
+--R               9 9            8 8          2 7 7          3 6 6         4 5 5
+--R         24310b x  + 110110a b x  + 190476a b x  + 150172a b x  + 46126a b x
+--R       + 
+--R            5 4 4      6 3 3      7 2 2       8          9
+--R         70a b x  - 80a b x  + 96a b x  - 128a b x + 256a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R            5
+--R     230945b
+--R                                                    Type: Expression(Integer)
+--E 1478
+
+--S 1479 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               9 9            8 8          2 7 7          3 6 6         4 5 5
+--R         24310b x  + 110110a b x  + 190476a b x  + 150172a b x  + 46126a b x
+--R       + 
+--R            5 4 4      6 3 3      7 2 2       8          9
+--R         70a b x  - 80a b x  + 96a b x  - 128a b x + 256a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R            5
+--R     230945b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1479
+
+--S 1480 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1480
+
+--S 1481 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1481
+
+)clear all
+
+--S 1482 of 3330
+t0000:=x^3*(a+b*x)^(9/2)
+--R 
+--R
+--R          4 7       3 6     2 2 5     3   4    4 3  +-------+
+--R   (1)  (b x  + 4a b x  + 6a b x  + 4a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1482
+
+--S 1483 of 3330
+r0000:=-2/11*a^3*(a+b*x)^(11/2)/b^4+6/13*a^2*(a+b*x)^(13/2)/b^4-_
+     2/5*a*(a+b*x)^(15/2)/b^4+2/17*(a+b*x)^(17/2)/b^4
+--R 
+--R
+--R   (2)
+--R              8 8          7 7         2 6 6        3 5 5        4 4 4
+--R         1430b x  + 6578a b x  + 11616a b x  + 9428a b x  + 3030a b x
+--R       + 
+--R            5 3 3      6 2 2      7         8
+--R         10a b x  - 12a b x  + 16a b x - 32a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R           4
+--R     12155b
+--R                                                    Type: Expression(Integer)
+--E 1483
+
+--S 1484 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              8 8          7 7         2 6 6        3 5 5        4 4 4
+--R         1430b x  + 6578a b x  + 11616a b x  + 9428a b x  + 3030a b x
+--R       + 
+--R            5 3 3      6 2 2      7         8
+--R         10a b x  - 12a b x  + 16a b x - 32a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R           4
+--R     12155b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1484
+
+--S 1485 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1485
+
+--S 1486 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1486
+
+)clear all
+
+--S 1487 of 3330
+t0000:=x^2*(a+b*x)^(9/2)
+--R 
+--R
+--R          4 6       3 5     2 2 4     3   3    4 2  +-------+
+--R   (1)  (b x  + 4a b x  + 6a b x  + 4a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1487
+
+--S 1488 of 3330
+r0000:=2/11*a^2*(a+b*x)^(11/2)/b^3-4/13*a*(a+b*x)^(13/2)/b^3+_
+     2/15*(a+b*x)^(15/2)/b^3
+--R 
+--R
+--R   (2)
+--R             7 7          6 6        2 5 5        3 4 4       4 3 3     5 2 2
+--R         286b x  + 1342a b x  + 2436a b x  + 2060a b x  + 710a b x  + 6a b x
+--R       + 
+--R             6         7
+--R         - 8a b x + 16a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R          3
+--R     2145b
+--R                                                    Type: Expression(Integer)
+--E 1488
+
+--S 1489 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             7 7          6 6        2 5 5        3 4 4       4 3 3     5 2 2
+--R         286b x  + 1342a b x  + 2436a b x  + 2060a b x  + 710a b x  + 6a b x
+--R       + 
+--R             6         7
+--R         - 8a b x + 16a
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R          3
+--R     2145b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1489
+
+--S 1490 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1490
+
+--S 1491 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1491
+
+)clear all
+
+--S 1492 of 3330
+t0000:=x*(a+b*x)^(9/2)
+--R 
+--R
+--R          4 5       3 4     2 2 3     3   2    4   +-------+
+--R   (1)  (b x  + 4a b x  + 6a b x  + 4a b x  + a x)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1492
+
+--S 1493 of 3330
+r0000:=-2/11*a*(a+b*x)^(11/2)/b^2+2/13*(a+b*x)^(13/2)/b^2
+--R 
+--R
+--R   (2)
+--R           6 6         5 5       2 4 4       3 3 3      4 2 2     5        6
+--R       (22b x  + 106a b x  + 200a b x  + 180a b x  + 70a b x  + 2a b x - 4a )
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R         2
+--R     143b
+--R                                                    Type: Expression(Integer)
+--E 1493
+
+--S 1494 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           6 6         5 5       2 4 4       3 3 3      4 2 2     5        6
+--R       (22b x  + 106a b x  + 200a b x  + 180a b x  + 70a b x  + 2a b x - 4a )
+--R    *
+--R        +-------+
+--R       \|b x + a
+--R  /
+--R         2
+--R     143b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1494
+
+--S 1495 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1495
+
+--S 1496 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1496
+
+)clear all
+
+--S 1497 of 3330
+t0000:=(a+b*x)^(9/2)
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4  +-------+
+--R   (1)  (b x  + 4a b x  + 6a b x  + 4a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1497
+
+--S 1498 of 3330
+r0000:=2/11*(a+b*x)^(11/2)/b
+--R 
+--R
+--R           5 5        4 4      2 3 3      3 2 2      4        5  +-------+
+--R        (2b x  + 10a b x  + 20a b x  + 20a b x  + 10a b x + 2a )\|b x + a
+--R   (2)  ------------------------------------------------------------------
+--R                                        11b
+--R                                                    Type: Expression(Integer)
+--E 1498
+
+--S 1499 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           5 5        4 4      2 3 3      3 2 2      4        5  +-------+
+--R        (2b x  + 10a b x  + 20a b x  + 20a b x  + 10a b x + 2a )\|b x + a
+--R   (3)  ------------------------------------------------------------------
+--R                                        11b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1499
+
+--S 1500 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1500
+
+--S 1501 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1501
+
+)clear all
+
+--S 1502 of 3330
+t0000:=(a+b*x)^(9/2)/x
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4  +-------+
+--R        (b x  + 4a b x  + 6a b x  + 4a b x + a )\|b x + a
+--R   (1)  --------------------------------------------------
+--R                                 x
+--R                                                    Type: Expression(Integer)
+--E 1502
+
+--S 1503 of 3330
+r0000:=2/3*a^3*(a+b*x)^(3/2)+2/5*a^2*(a+b*x)^(5/2)+2/7*a*(a+b*x)^(7/2)+_
+     2/9*(a+b*x)^(9/2)-2*a^(9/2)*atanh(sqrt(a+b*x)/sqrt(a))+2*a^4*sqrt(a+b*x)
+--R 
+--R
+--R   (2)
+--R                         +-------+
+--R             4 +-+      \|b x + a
+--R       - 630a \|a atanh(----------)
+--R                            +-+
+--R                           \|a
+--R     + 
+--R           4 4         3 3       2 2 2        3           4  +-------+
+--R       (70b x  + 370a b x  + 816a b x  + 1012a b x + 1126a )\|b x + a
+--R  /
+--R     315
+--R                                                    Type: Expression(Integer)
+--E 1503
+
+--S 1504 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                          +-+ +-------+
+--R             4 +-+    - 2\|a \|b x + a  + b x + 2a
+--R         315a \|a log(----------------------------)
+--R                                    x
+--R       + 
+--R             4 4         3 3       2 2 2        3           4  +-------+
+--R         (70b x  + 370a b x  + 816a b x  + 1012a b x + 1126a )\|b x + a
+--R    /
+--R       315
+--R     ,
+--R
+--R                            +-------+
+--R               4 +---+     \|b x + a
+--R         - 630a \|- a atan(----------)
+--R                              +---+
+--R                             \|- a
+--R       + 
+--R             4 4         3 3       2 2 2        3           4  +-------+
+--R         (70b x  + 370a b x  + 816a b x  + 1012a b x + 1126a )\|b x + a
+--R    /
+--R       315
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1504
+
+--S 1505 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                      +-+ +-------+                             +-------+
+--R         4 +-+    - 2\|a \|b x + a  + b x + 2a      4 +-+      \|b x + a
+--R   (4)  a \|a log(----------------------------) + 2a \|a atanh(----------)
+--R                                x                                  +-+
+--R                                                                  \|a
+--R                                                    Type: Expression(Integer)
+--E 1505
+
+--S 1506 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1506
+
+--S 1507 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-------+                   +-------+
+--R          4 +-+      \|b x + a       4 +---+     \|b x + a
+--R   (6)  2a \|a atanh(----------) - 2a \|- a atan(----------)
+--R                         +-+                        +---+
+--R                        \|a                        \|- a
+--R                                                    Type: Expression(Integer)
+--E 1507
+
+--S 1508 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1508
+
+)clear all
+
+--S 1509 of 3330
+t0000:=(a+b*x)^(9/2)/x^2
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4  +-------+
+--R        (b x  + 4a b x  + 6a b x  + 4a b x + a )\|b x + a
+--R   (1)  --------------------------------------------------
+--R                                 2
+--R                                x
+--R                                                    Type: Expression(Integer)
+--E 1509
+
+--S 1510 of 3330
+r0000:=3*a^2*b*(a+b*x)^(3/2)+9/5*a*b*(a+b*x)^(5/2)+9/7*b*(a+b*x)^(7/2)-_
+     (a+b*x)^(9/2)/x-9*a^(7/2)*b*atanh(sqrt(a+b*x)/sqrt(a))+_
+     9*a^3*b*sqrt(a+b*x)
+--R 
+--R
+--R   (2)
+--R                            +-------+
+--R             3    +-+      \|b x + a
+--R       - 315a b x\|a atanh(----------)
+--R                               +-+
+--R                              \|a
+--R     + 
+--R           4 4        3 3       2 2 2       3         4  +-------+
+--R       (10b x  + 58a b x  + 156a b x  + 388a b x - 35a )\|b x + a
+--R  /
+--R     35x
+--R                                                    Type: Expression(Integer)
+--E 1510
+
+--S 1511 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                             +-+ +-------+
+--R             3    +-+    - 2\|a \|b x + a  + b x + 2a
+--R         315a b x\|a log(----------------------------)
+--R                                       x
+--R       + 
+--R             4 4         3 3       2 2 2       3         4  +-------+
+--R         (20b x  + 116a b x  + 312a b x  + 776a b x - 70a )\|b x + a
+--R    /
+--R       70x
+--R     ,
+--R
+--R                               +-------+
+--R               3    +---+     \|b x + a
+--R         - 315a b x\|- a atan(----------)
+--R                                 +---+
+--R                                \|- a
+--R       + 
+--R             4 4        3 3       2 2 2       3         4  +-------+
+--R         (10b x  + 58a b x  + 156a b x  + 388a b x - 35a )\|b x + a
+--R    /
+--R       35x
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1511
+
+--S 1512 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                        +-+ +-------+                               +-------+
+--R          3  +-+    - 2\|a \|b x + a  + b x + 2a       3  +-+      \|b x + a
+--R        9a b\|a log(----------------------------) + 18a b\|a atanh(----------)
+--R                                  x                                    +-+
+--R                                                                      \|a
+--R   (4)  ----------------------------------------------------------------------
+--R                                           2
+--R                                                    Type: Expression(Integer)
+--E 1512
+
+--S 1513 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1513
+
+--S 1514 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +-------+                    +-------+
+--R          3  +-+      \|b x + a       3  +---+     \|b x + a
+--R   (6)  9a b\|a atanh(----------) - 9a b\|- a atan(----------)
+--R                          +-+                         +---+
+--R                         \|a                         \|- a
+--R                                                    Type: Expression(Integer)
+--E 1514
+
+--S 1515 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1515
+
+)clear all
+
+--S 1516 of 3330
+t0000:=(a+b*x)^(9/2)/x^3
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4  +-------+
+--R        (b x  + 4a b x  + 6a b x  + 4a b x + a )\|b x + a
+--R   (1)  --------------------------------------------------
+--R                                 3
+--R                                x
+--R                                                    Type: Expression(Integer)
+--E 1516
+
+--S 1517 of 3330
+r0000:=21/4*a*b^2*(a+b*x)^(3/2)+63/20*b^2*(a+b*x)^(5/2)-_
+     9/4*b*(a+b*x)^(7/2)/x-1/2*(a+b*x)^(9/2)/x^2-_
+     63/4*a^(5/2)*b^2*atanh(sqrt(a+b*x)/sqrt(a))+63/4*a^2*b^2*sqrt(a+b*x)
+--R 
+--R
+--R   (2)
+--R                             +-------+
+--R             2 2 2 +-+      \|b x + a
+--R       - 315a b x \|a atanh(----------)
+--R                                +-+
+--R                               \|a
+--R     + 
+--R          4 4        3 3       2 2 2      3         4  +-------+
+--R       (8b x  + 56a b x  + 288a b x  - 85a b x - 10a )\|b x + a
+--R  /
+--R        2
+--R     20x
+--R                                                    Type: Expression(Integer)
+--E 1517
+
+--S 1518 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                              +-+ +-------+
+--R             2 2 2 +-+    - 2\|a \|b x + a  + b x + 2a
+--R         315a b x \|a log(----------------------------)
+--R                                        x
+--R       + 
+--R             4 4         3 3       2 2 2       3         4  +-------+
+--R         (16b x  + 112a b x  + 576a b x  - 170a b x - 20a )\|b x + a
+--R    /
+--R          2
+--R       40x
+--R     ,
+--R
+--R                                +-------+
+--R               2 2 2 +---+     \|b x + a
+--R         - 315a b x \|- a atan(----------)
+--R                                  +---+
+--R                                 \|- a
+--R       + 
+--R            4 4        3 3       2 2 2      3         4  +-------+
+--R         (8b x  + 56a b x  + 288a b x  - 85a b x - 10a )\|b x + a
+--R    /
+--R          2
+--R       20x
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1518
+
+--S 1519 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                     +-+ +-------+                                 +-------+
+--R      2 2 +-+    - 2\|a \|b x + a  + b x + 2a        2 2 +-+      \|b x + a
+--R   63a b \|a log(----------------------------) + 126a b \|a atanh(----------)
+--R                               x                                      +-+
+--R                                                                     \|a
+--R   --------------------------------------------------------------------------
+--R                                        8
+--R                                                    Type: Expression(Integer)
+--E 1519
+
+--S 1520 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1520
+
+--S 1521 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-------+                      +-------+
+--R           2 2 +-+      \|b x + a        2 2 +---+     \|b x + a
+--R        63a b \|a atanh(----------) - 63a b \|- a atan(----------)
+--R                            +-+                           +---+
+--R                           \|a                           \|- a
+--R   (6)  ----------------------------------------------------------
+--R                                     4
+--R                                                    Type: Expression(Integer)
+--E 1521
+
+--S 1522 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1522
+
+)clear all
+
+--S 1523 of 3330
+t0000:=(a+b*x)^(9/2)/x^4
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4  +-------+
+--R        (b x  + 4a b x  + 6a b x  + 4a b x + a )\|b x + a
+--R   (1)  --------------------------------------------------
+--R                                 4
+--R                                x
+--R                                                    Type: Expression(Integer)
+--E 1523
+
+--S 1524 of 3330
+r0000:=35/8*b^3*(a+b*x)^(3/2)-21/8*b^2*(a+b*x)^(5/2)/x-_
+     3/4*b*(a+b*x)^(7/2)/x^2-1/3*(a+b*x)^(9/2)/x^3-_
+     105/8*a^(3/2)*b^3*atanh(sqrt(a+b*x)/sqrt(a))+105/8*a*b^3*sqrt(a+b*x)
+--R 
+--R
+--R   (2)
+--R                             +-------+
+--R               3 3 +-+      \|b x + a
+--R       - 315a b x \|a atanh(----------)
+--R                                +-+
+--R                               \|a
+--R     + 
+--R           4 4         3 3       2 2 2      3        4  +-------+
+--R       (16b x  + 208a b x  - 165a b x  - 50a b x - 8a )\|b x + a
+--R  /
+--R        3
+--R     24x
+--R                                                    Type: Expression(Integer)
+--E 1524
+
+--S 1525 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                              +-+ +-------+
+--R               3 3 +-+    - 2\|a \|b x + a  + b x + 2a
+--R         315a b x \|a log(----------------------------)
+--R                                        x
+--R       + 
+--R             4 4         3 3       2 2 2       3         4  +-------+
+--R         (32b x  + 416a b x  - 330a b x  - 100a b x - 16a )\|b x + a
+--R    /
+--R          3
+--R       48x
+--R     ,
+--R
+--R                                +-------+
+--R                 3 3 +---+     \|b x + a
+--R         - 315a b x \|- a atan(----------)
+--R                                  +---+
+--R                                 \|- a
+--R       + 
+--R             4 4         3 3       2 2 2      3        4  +-------+
+--R         (16b x  + 208a b x  - 165a b x  - 50a b x - 8a )\|b x + a
+--R    /
+--R          3
+--R       24x
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1525
+
+--S 1526 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                      +-+ +-------+                                 +-------+
+--R         3 +-+    - 2\|a \|b x + a  + b x + 2a          3 +-+      \|b x + a
+--R   105a b \|a log(----------------------------) + 210a b \|a atanh(----------)
+--R                                x                                      +-+
+--R                                                                      \|a
+--R   ---------------------------------------------------------------------------
+--R                                        16
+--R                                                    Type: Expression(Integer)
+--E 1526
+
+--S 1527 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1527
+
+--S 1528 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                          +-------+                       +-------+
+--R              3 +-+      \|b x + a           3 +---+     \|b x + a
+--R        105a b \|a atanh(----------) - 105a b \|- a atan(----------)
+--R                             +-+                            +---+
+--R                            \|a                            \|- a
+--R   (6)  ------------------------------------------------------------
+--R                                      8
+--R                                                    Type: Expression(Integer)
+--E 1528
+
+--S 1529 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1529
+
+)clear all
+
+--S 1530 of 3330
+t0000:=(a+b*x)^(9/2)/x^5
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4  +-------+
+--R        (b x  + 4a b x  + 6a b x  + 4a b x + a )\|b x + a
+--R   (1)  --------------------------------------------------
+--R                                 5
+--R                                x
+--R                                                    Type: Expression(Integer)
+--E 1530
+
+--S 1531 of 3330
+r0000:=-105/64*b^3*(a+b*x)^(3/2)/x-21/32*b^2*(a+b*x)^(5/2)/x^2-_
+     3/8*b*(a+b*x)^(7/2)/x^3-1/4*(a+b*x)^(9/2)/x^4-_
+     315/64*b^4*atanh(sqrt(a+b*x)/sqrt(a))*sqrt(a)+315/64*b^4*sqrt(a+b*x)
+--R 
+--R
+--R   (2)
+--R                           +-------+
+--R             4 4 +-+      \|b x + a
+--R       - 315b x \|a atanh(----------)
+--R                              +-+
+--R                             \|a
+--R     + 
+--R            4 4         3 3       2 2 2      3         4  +-------+
+--R       (128b x  - 325a b x  - 210a b x  - 88a b x - 16a )\|b x + a
+--R  /
+--R        4
+--R     64x
+--R                                                    Type: Expression(Integer)
+--E 1531
+
+--S 1532 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                            +-+ +-------+
+--R             4 4 +-+    - 2\|a \|b x + a  + b x + 2a
+--R         315b x \|a log(----------------------------)
+--R                                      x
+--R       + 
+--R              4 4         3 3       2 2 2       3         4  +-------+
+--R         (256b x  - 650a b x  - 420a b x  - 176a b x - 32a )\|b x + a
+--R    /
+--R           4
+--R       128x
+--R     ,
+--R
+--R                              +-------+
+--R               4 4 +---+     \|b x + a
+--R         - 315b x \|- a atan(----------)
+--R                                +---+
+--R                               \|- a
+--R       + 
+--R              4 4         3 3       2 2 2      3         4  +-------+
+--R         (128b x  - 325a b x  - 210a b x  - 88a b x - 16a )\|b x + a
+--R    /
+--R          4
+--R       64x
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1532
+
+--S 1533 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                    +-+ +-------+                               +-------+
+--R       4 +-+    - 2\|a \|b x + a  + b x + 2a        4 +-+      \|b x + a
+--R   315b \|a log(----------------------------) + 630b \|a atanh(----------)
+--R                              x                                    +-+
+--R                                                                  \|a
+--R   -----------------------------------------------------------------------
+--R                                     128
+--R                                                    Type: Expression(Integer)
+--E 1533
+
+--S 1534 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1534
+
+--S 1535 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                        +-------+                     +-------+
+--R            4 +-+      \|b x + a         4 +---+     \|b x + a
+--R        315b \|a atanh(----------) - 315b \|- a atan(----------)
+--R                           +-+                          +---+
+--R                          \|a                          \|- a
+--R   (6)  --------------------------------------------------------
+--R                                   64
+--R                                                    Type: Expression(Integer)
+--E 1535
+
+--S 1536 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1536
+
+)clear all
+
+--S 1537 of 3330
+t0000:=(a+b*x)^(9/2)/x^6
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4  +-------+
+--R        (b x  + 4a b x  + 6a b x  + 4a b x + a )\|b x + a
+--R   (1)  --------------------------------------------------
+--R                                 6
+--R                                x
+--R                                                    Type: Expression(Integer)
+--E 1537
+
+--S 1538 of 3330
+r0000:=-21/64*b^3*(a+b*x)^(3/2)/x^2-21/80*b^2*(a+b*x)^(5/2)/x^3-_
+     9/40*b*(a+b*x)^(7/2)/x^4-1/5*(a+b*x)^(9/2)/x^5-_
+     63/128*b^5*atanh(sqrt(a+b*x)/sqrt(a))/sqrt(a)-63/128*b^4*sqrt(a+b*x)/x
+--R 
+--R
+--R   (2)
+--R                       +-------+
+--R             5 5      \|b x + a
+--R       - 315b x atanh(----------)
+--R                          +-+
+--R                         \|a
+--R     + 
+--R              4 4          3 3        2 2 2       3          4  +-+ +-------+
+--R       (- 965b x  - 1490a b x  - 1368a b x  - 656a b x - 128a )\|a \|b x + a
+--R  /
+--R         5 +-+
+--R     640x \|a
+--R                                                    Type: Expression(Integer)
+--E 1538
+
+--S 1539 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                         +-------+              +-+
+--R             5 5    - 2a\|b x + a  + (b x + 2a)\|a
+--R         315b x log(-------------------------------)
+--R                                   x
+--R       + 
+--R               4 4          3 3        2 2 2        3          4  +-+ +-------+
+--R       (- 1930b x  - 2980a b x  - 2736a b x  - 1312a b x - 256a )\|a \|b x + a
+--R    /
+--R            5 +-+
+--R       1280x \|a
+--R     ,
+--R
+--R                        +---+ +-------+
+--R               5 5     \|- a \|b x + a
+--R         - 315b x atan(----------------)
+--R                               a
+--R       + 
+--R              4 4          3 3        2 2 2       3          4  +---+ +-------+
+--R       (- 965b x  - 1490a b x  - 1368a b x  - 656a b x - 128a )\|- a \|b x + a
+--R    /
+--R           5 +---+
+--R       640x \|- a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1539
+
+--S 1540 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                     +-------+              +-+                +-------+
+--R           5    - 2a\|b x + a  + (b x + 2a)\|a         5      \|b x + a
+--R        63b log(-------------------------------) + 126b atanh(----------)
+--R                               x                                  +-+
+--R                                                                 \|a
+--R   (4)  -----------------------------------------------------------------
+--R                                         +-+
+--R                                     256\|a
+--R                                                    Type: Expression(Integer)
+--E 1540
+
+--S 1541 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1541
+
+--S 1542 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-------+                  +---+ +-------+
+--R           5 +---+      \|b x + a        5 +-+     \|- a \|b x + a
+--R        63b \|- a atanh(----------) - 63b \|a atan(----------------)
+--R                            +-+                            a
+--R                           \|a
+--R   (6)  ------------------------------------------------------------
+--R                                    +---+ +-+
+--R                                128\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1542
+
+--S 1543 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1543
+
+)clear all
+
+--S 1544 of 3330
+t0000:=(a+b*x)^(9/2)/x^7
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4  +-------+
+--R        (b x  + 4a b x  + 6a b x  + 4a b x + a )\|b x + a
+--R   (1)  --------------------------------------------------
+--R                                 7
+--R                                x
+--R                                                    Type: Expression(Integer)
+--E 1544
+
+--S 1545 of 3330
+r0000:=-7/64*b^3*(a+b*x)^(3/2)/x^3-21/160*b^2*(a+b*x)^(5/2)/x^4-_
+     3/20*b*(a+b*x)^(7/2)/x^5-1/6*(a+b*x)^(9/2)/x^6+_
+     21/512*b^6*atanh(sqrt(a+b*x)/sqrt(a))/a^(3/2)-_
+     21/256*b^4*sqrt(a+b*x)/x^2-21/512*b^5*sqrt(a+b*x)/(a*x)
+--R 
+--R
+--R   (2)
+--R                     +-------+
+--R           6 6      \|b x + a
+--R       315b x atanh(----------)
+--R                        +-+
+--R                       \|a
+--R     + 
+--R                   5 5          4 4         2 3 3         3 2 2        4
+--R             - 315b x  - 4910a b x  - 11432a b x  - 12144a b x  - 6272a b x
+--R           + 
+--R                    5
+--R             - 1280a
+--R      *
+--R          +-+ +-------+
+--R         \|a \|b x + a
+--R  /
+--R            6 +-+
+--R     7680a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1545
+
+--S 1546 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                       +-------+              +-+
+--R             6 6    2a\|b x + a  + (b x + 2a)\|a
+--R         315b x log(-----------------------------)
+--R                                  x
+--R       + 
+--R                   5 5          4 4         2 3 3         3 2 2         4
+--R             - 630b x  - 9820a b x  - 22864a b x  - 24288a b x  - 12544a b x
+--R           + 
+--R                    5
+--R             - 2560a
+--R        *
+--R            +-+ +-------+
+--R           \|a \|b x + a
+--R    /
+--R               6 +-+
+--R       15360a x \|a
+--R     ,
+--R
+--R                      +---+ +-------+
+--R             6 6     \|- a \|b x + a
+--R         315b x atan(----------------)
+--R                             a
+--R       + 
+--R                   5 5          4 4         2 3 3         3 2 2        4
+--R             - 315b x  - 4910a b x  - 11432a b x  - 12144a b x  - 6272a b x
+--R           + 
+--R                    5
+--R             - 1280a
+--R        *
+--R            +---+ +-------+
+--R           \|- a \|b x + a
+--R    /
+--R              6 +---+
+--R       7680a x \|- a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1546
+
+--S 1547 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                   +-------+              +-+               +-------+
+--R           6    2a\|b x + a  + (b x + 2a)\|a        6      \|b x + a
+--R        21b log(-----------------------------) - 42b atanh(----------)
+--R                              x                                +-+
+--R                                                              \|a
+--R   (4)  --------------------------------------------------------------
+--R                                         +-+
+--R                                   1024a\|a
+--R                                                    Type: Expression(Integer)
+--E 1547
+
+--S 1548 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1548
+
+--S 1549 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                           +-------+                  +---+ +-------+
+--R             6 +---+      \|b x + a        6 +-+     \|- a \|b x + a
+--R        - 21b \|- a atanh(----------) + 21b \|a atan(----------------)
+--R                              +-+                            a
+--R                             \|a
+--R   (6)  --------------------------------------------------------------
+--R                                     +---+ +-+
+--R                                512a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1549
+
+--S 1550 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1550
+
+)clear all
+
+--S 1551 of 3330
+t0000:=(a+b*x)^(9/2)/x^8
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4  +-------+
+--R        (b x  + 4a b x  + 6a b x  + 4a b x + a )\|b x + a
+--R   (1)  --------------------------------------------------
+--R                                 8
+--R                                x
+--R                                                    Type: Expression(Integer)
+--E 1551
+
+--S 1552 of 3330
+r0000:=-3/64*b^3*(a+b*x)^(3/2)/x^4-3/40*b^2*(a+b*x)^(5/2)/x^5-_
+     3/28*b*(a+b*x)^(7/2)/x^6-1/7*(a+b*x)^(9/2)/x^7-_
+     9/1024*b^7*atanh(sqrt(a+b*x)/sqrt(a))/a^(5/2)-_
+     3/128*b^4*sqrt(a+b*x)/x^3-3/512*b^5*sqrt(a+b*x)/(a*x^2)+_
+     9/1024*b^6*sqrt(a+b*x)/(a^2*x)
+--R 
+--R
+--R   (2)
+--R                       +-------+
+--R             7 7      \|b x + a
+--R       - 315b x atanh(----------)
+--R                          +-+
+--R                         \|a
+--R     + 
+--R               6 6         5 5         2 4 4         3 3 3         4 2 2
+--R           315b x  - 210a b x  - 14168a b x  - 39056a b x  - 44928a b x
+--R         + 
+--R                   5           6
+--R           - 24320a b x - 5120a
+--R      *
+--R          +-+ +-------+
+--R         \|a \|b x + a
+--R  /
+--R           2 7 +-+
+--R     35840a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1552
+
+--S 1553 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                         +-------+              +-+
+--R             7 7    - 2a\|b x + a  + (b x + 2a)\|a
+--R         315b x log(-------------------------------)
+--R                                   x
+--R       + 
+--R                 6 6         5 5         2 4 4         3 3 3         4 2 2
+--R             630b x  - 420a b x  - 28336a b x  - 78112a b x  - 89856a b x
+--R           + 
+--R                     5            6
+--R             - 48640a b x - 10240a
+--R        *
+--R            +-+ +-------+
+--R           \|a \|b x + a
+--R    /
+--R             2 7 +-+
+--R       71680a x \|a
+--R     ,
+--R
+--R                        +---+ +-------+
+--R               7 7     \|- a \|b x + a
+--R         - 315b x atan(----------------)
+--R                               a
+--R       + 
+--R                 6 6         5 5         2 4 4         3 3 3         4 2 2
+--R             315b x  - 210a b x  - 14168a b x  - 39056a b x  - 44928a b x
+--R           + 
+--R                     5           6
+--R             - 24320a b x - 5120a
+--R        *
+--R            +---+ +-------+
+--R           \|- a \|b x + a
+--R    /
+--R             2 7 +---+
+--R       35840a x \|- a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1553
+
+--S 1554 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                    +-------+              +-+               +-------+
+--R          7    - 2a\|b x + a  + (b x + 2a)\|a        7      \|b x + a
+--R        9b log(-------------------------------) + 18b atanh(----------)
+--R                              x                                 +-+
+--R                                                               \|a
+--R   (4)  ---------------------------------------------------------------
+--R                                        2 +-+
+--R                                   2048a \|a
+--R                                                    Type: Expression(Integer)
+--E 1554
+
+--S 1555 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1555
+
+--S 1556 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                        +-------+                 +---+ +-------+
+--R          7 +---+      \|b x + a       7 +-+     \|- a \|b x + a
+--R        9b \|- a atanh(----------) - 9b \|a atan(----------------)
+--R                           +-+                           a
+--R                          \|a
+--R   (6)  ----------------------------------------------------------
+--R                                  2 +---+ +-+
+--R                             1024a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1556
+
+--S 1557 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1557
+
+)clear all
+
+--S 1558 of 3330
+t0000:=sqrt(-a+b*x)/x
+--R 
+--R
+--R         +-------+
+--R        \|b x - a
+--R   (1)  ----------
+--R             x
+--R                                                    Type: Expression(Integer)
+--E 1558
+
+--S 1559 of 3330
+r0000:=-2*atan(sqrt(-a+b*x)/sqrt(a))*sqrt(a)+2*sqrt(-a+b*x)
+--R 
+--R
+--R                     +-------+
+--R            +-+     \|b x - a       +-------+
+--R   (2)  - 2\|a atan(----------) + 2\|b x - a
+--R                        +-+
+--R                       \|a
+--R                                                    Type: Expression(Integer)
+--E 1559
+
+--S 1560 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                  +---+ +-------+
+--R     +---+    - 2\|- a \|b x - a  + b x - 2a      +-------+
+--R   [\|- a log(------------------------------) + 2\|b x - a ,
+--R                             x
+--R                 +-------+
+--R        +-+     \|b x - a       +-------+
+--R    - 2\|a atan(----------) + 2\|b x - a ]
+--R                    +-+
+--R                   \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1560
+
+--S 1561 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                      +---+ +-------+                          +-------+
+--R         +---+    - 2\|- a \|b x - a  + b x - 2a      +-+     \|b x - a
+--R   (4)  \|- a log(------------------------------) + 2\|a atan(----------)
+--R                                 x                                +-+
+--R                                                                 \|a
+--R                                                    Type: Expression(Integer)
+--E 1561
+
+--S 1562 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1562
+
+--S 1563 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R   (6)  0
+--R                                                    Type: Expression(Integer)
+--E 1563
+
+--S 1564 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1564
+
+)clear all
+
+--S 1565 of 3330
+t0000:=sqrt(-a+b*x)/x^2
+--R 
+--R
+--R         +-------+
+--R        \|b x - a
+--R   (1)  ----------
+--R             2
+--R            x
+--R                                                    Type: Expression(Integer)
+--E 1565
+
+--S 1566 of 3330
+r0000:=b*atan(sqrt(-a+b*x)/sqrt(a))/sqrt(a)-sqrt(-a+b*x)/x
+--R 
+--R
+--R                  +-------+
+--R                 \|b x - a      +-+ +-------+
+--R        b x atan(----------) - \|a \|b x - a
+--R                     +-+
+--R                    \|a
+--R   (2)  -------------------------------------
+--R                          +-+
+--R                        x\|a
+--R                                                    Type: Expression(Integer)
+--E 1566
+
+--S 1567 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               +-------+              +---+
+--R            2a\|b x - a  + (b x - 2a)\|- a       +---+ +-------+
+--R    b x log(-------------------------------) - 2\|- a \|b x - a
+--R                           x
+--R   [------------------------------------------------------------,
+--R                                 +---+
+--R                              2x\|- a
+--R              +-+ +-------+
+--R             \|a \|b x - a      +-+ +-------+
+--R    b x atan(--------------) - \|a \|b x - a
+--R                    a
+--R    -----------------------------------------]
+--R                        +-+
+--R                      x\|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1567
+
+--S 1568 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                    +-------+              +---+                  +-------+
+--R          +-+    2a\|b x - a  + (b x - 2a)\|- a        +---+     \|b x - a
+--R        b\|a log(-------------------------------) - 2b\|- a atan(----------)
+--R                                x                                    +-+
+--R                                                                    \|a
+--R   (4)  --------------------------------------------------------------------
+--R                                       +---+ +-+
+--R                                     2\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1568
+
+--S 1569 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1569
+
+--S 1570 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                +-+ +-------+            +-------+
+--R               \|a \|b x - a            \|b x - a
+--R        b atan(--------------) - b atan(----------)
+--R                      a                     +-+
+--R                                           \|a
+--R   (6)  -------------------------------------------
+--R                             +-+
+--R                            \|a
+--R                                                    Type: Expression(Integer)
+--E 1570
+
+--S 1571 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1571
+
+)clear all
+
+--S 1572 of 3330
+t0000:=sqrt(-a+b*x)/x^3
+--R 
+--R
+--R         +-------+
+--R        \|b x - a
+--R   (1)  ----------
+--R             3
+--R            x
+--R                                                    Type: Expression(Integer)
+--E 1572
+
+--S 1573 of 3330
+r0000:=1/4*b^2*atan(sqrt(-a+b*x)/sqrt(a))/a^(3/2)-_
+     1/2*sqrt(-a+b*x)/x^2+1/4*b*sqrt(-a+b*x)/(a*x)
+--R 
+--R
+--R                  +-------+
+--R         2 2     \|b x - a                +-+ +-------+
+--R        b x atan(----------) + (b x - 2a)\|a \|b x - a
+--R                     +-+
+--R                    \|a
+--R   (2)  -----------------------------------------------
+--R                               2 +-+
+--R                           4a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1573
+
+--S 1574 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               +-------+              +---+
+--R     2 2    2a\|b x - a  + (b x - 2a)\|- a                 +---+ +-------+
+--R    b x log(-------------------------------) + (2b x - 4a)\|- a \|b x - a
+--R                           x
+--R   [----------------------------------------------------------------------,
+--R                                      2 +---+
+--R                                  8a x \|- a
+--R              +-+ +-------+
+--R     2 2     \|a \|b x - a                +-+ +-------+
+--R    b x atan(--------------) + (b x - 2a)\|a \|b x - a
+--R                    a
+--R    ---------------------------------------------------]
+--R                             2 +-+
+--R                         4a x \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1574
+
+--S 1575 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                     +-------+              +---+                   +-------+
+--R         2 +-+    2a\|b x - a  + (b x - 2a)\|- a       2 +---+     \|b x - a
+--R        b \|a log(-------------------------------) - 2b \|- a atan(----------)
+--R                                 x                                     +-+
+--R                                                                      \|a
+--R   (4)  ----------------------------------------------------------------------
+--R                                        +---+ +-+
+--R                                     8a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1575
+
+--S 1576 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1576
+
+--S 1577 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                +-+ +-------+            +-------+
+--R         2     \|a \|b x - a      2     \|b x - a
+--R        b atan(--------------) - b atan(----------)
+--R                      a                     +-+
+--R                                           \|a
+--R   (6)  -------------------------------------------
+--R                              +-+
+--R                           4a\|a
+--R                                                    Type: Expression(Integer)
+--E 1577
+
+--S 1578 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1578
+
+)clear all
+
+--S 1579 of 3330
+t0000:=(-a+b*x)^(3/2)/x
+--R 
+--R
+--R                  +-------+
+--R        (b x - a)\|b x - a
+--R   (1)  -------------------
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1579
+
+--S 1580 of 3330
+r0000:=2/3*(-a+b*x)^(3/2)+2*a^(3/2)*atan(sqrt(-a+b*x)/sqrt(a))-2*a*sqrt(-a+b*x)
+--R 
+--R
+--R                    +-------+
+--R           +-+     \|b x - a                 +-------+
+--R        6a\|a atan(----------) + (2b x - 8a)\|b x - a
+--R                       +-+
+--R                      \|a
+--R   (2)  ----------------------------------------------
+--R                               3
+--R                                                    Type: Expression(Integer)
+--E 1580
+
+--S 1581 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                  +---+ +-------+
+--R       +---+    2\|- a \|b x - a  + b x - 2a                +-------+
+--R    3a\|- a log(----------------------------) + (2b x - 8a)\|b x - a
+--R                              x
+--R   [-----------------------------------------------------------------,
+--R                                    3
+--R                +-------+
+--R       +-+     \|b x - a                 +-------+
+--R    6a\|a atan(----------) + (2b x - 8a)\|b x - a
+--R                   +-+
+--R                  \|a
+--R    ----------------------------------------------]
+--R                           3
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1581
+
+--S 1582 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                     +---+ +-------+                           +-------+
+--R          +---+    2\|- a \|b x - a  + b x - 2a       +-+     \|b x - a
+--R   (4)  a\|- a log(----------------------------) - 2a\|a atan(----------)
+--R                                 x                                +-+
+--R                                                                 \|a
+--R                                                    Type: Expression(Integer)
+--E 1582
+
+--S 1583 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1583
+
+--S 1584 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R   (6)  0
+--R                                                    Type: Expression(Integer)
+--E 1584
+
+--S 1585 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1585
+
+)clear all
+
+--S 1586 of 3330
+t0000:=(-a+b*x)^(3/2)/x^2
+--R 
+--R
+--R                  +-------+
+--R        (b x - a)\|b x - a
+--R   (1)  -------------------
+--R                  2
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1586
+
+--S 1587 of 3330
+r0000:=-(-a+b*x)^(3/2)/x-3*b*atan(sqrt(-a+b*x)/sqrt(a))*sqrt(a)+_
+     3*b*sqrt(-a+b*x)
+--R 
+--R
+--R                        +-------+
+--R               +-+     \|b x - a                +-------+
+--R        - 3b x\|a atan(----------) + (2b x + a)\|b x - a
+--R                           +-+
+--R                          \|a
+--R   (2)  -------------------------------------------------
+--R                                x
+--R                                                    Type: Expression(Integer)
+--E 1587
+
+--S 1588 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                      +---+ +-------+
+--R         +---+    - 2\|- a \|b x - a  + b x - 2a                +-------+
+--R    3b x\|- a log(------------------------------) + (4b x + 2a)\|b x - a
+--R                                 x
+--R   [---------------------------------------------------------------------,
+--R                                      2x
+--R                    +-------+
+--R           +-+     \|b x - a                +-------+
+--R    - 3b x\|a atan(----------) + (2b x + a)\|b x - a
+--R                       +-+
+--R                      \|a
+--R    -------------------------------------------------]
+--R                            x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1588
+
+--S 1589 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                        +---+ +-------+                           +-------+
+--R           +---+    - 2\|- a \|b x - a  + b x - 2a       +-+     \|b x - a
+--R        3b\|- a log(------------------------------) + 6b\|a atan(----------)
+--R                                   x                                 +-+
+--R                                                                    \|a
+--R   (4)  --------------------------------------------------------------------
+--R                                          2
+--R                                                    Type: Expression(Integer)
+--E 1589
+
+--S 1590 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1590
+
+--S 1591 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R   (6)  0
+--R                                                    Type: Expression(Integer)
+--E 1591
+
+--S 1592 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1592
+
+)clear all
+
+--S 1593 of 3330
+t0000:=(-a+b*x)^(3/2)/x^3
+--R 
+--R
+--R                  +-------+
+--R        (b x - a)\|b x - a
+--R   (1)  -------------------
+--R                  3
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1593
+
+--S 1594 of 3330
+r0000:=-1/2*(-a+b*x)^(3/2)/x^2+3/4*b^2*atan(sqrt(-a+b*x)/sqrt(a))/sqrt(a)-_
+     3/4*b*sqrt(-a+b*x)/x
+--R 
+--R
+--R                   +-------+
+--R          2 2     \|b x - a                   +-+ +-------+
+--R        3b x atan(----------) + (- 5b x + 2a)\|a \|b x - a
+--R                      +-+
+--R                     \|a
+--R   (2)  ---------------------------------------------------
+--R                                2 +-+
+--R                              4x \|a
+--R                                                    Type: Expression(Integer)
+--E 1594
+
+--S 1595 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                +-------+              +---+
+--R      2 2    2a\|b x - a  + (b x - 2a)\|- a                    +---+ +-------+
+--R    3b x log(-------------------------------) + (- 10b x + 4a)\|- a \|b x - a
+--R                            x
+--R   [--------------------------------------------------------------------------,
+--R                                       2 +---+
+--R                                     8x \|- a
+--R               +-+ +-------+
+--R      2 2     \|a \|b x - a                   +-+ +-------+
+--R    3b x atan(--------------) + (- 5b x + 2a)\|a \|b x - a
+--R                     a
+--R    -------------------------------------------------------]
+--R                              2 +-+
+--R                            4x \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1595
+
+--S 1596 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                 +-------+              +---+                   +-------+
+--R     2 +-+    2a\|b x - a  + (b x - 2a)\|- a       2 +---+     \|b x - a
+--R   3b \|a log(-------------------------------) - 6b \|- a atan(----------)
+--R                             x                                     +-+
+--R                                                                  \|a
+--R   -----------------------------------------------------------------------
+--R                                   +---+ +-+
+--R                                 8\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1596
+
+--S 1597 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1597
+
+--S 1598 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                 +-+ +-------+             +-------+
+--R          2     \|a \|b x - a       2     \|b x - a
+--R        3b atan(--------------) - 3b atan(----------)
+--R                       a                      +-+
+--R                                             \|a
+--R   (6)  ---------------------------------------------
+--R                              +-+
+--R                            4\|a
+--R                                                    Type: Expression(Integer)
+--E 1598
+
+--S 1599 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1599
+
+)clear all
+
+--S 1600 of 3330
+t0000:=(-a+b*x)^(5/2)/x
+--R 
+--R
+--R          2 2             2  +-------+
+--R        (b x  - 2a b x + a )\|b x - a
+--R   (1)  ------------------------------
+--R                       x
+--R                                                    Type: Expression(Integer)
+--E 1600
+
+--S 1601 of 3330
+r0000:=-2/3*a*(-a+b*x)^(3/2)+2/5*(-a+b*x)^(5/2)-_
+     2*a^(5/2)*atan(sqrt(-a+b*x)/sqrt(a))+2*a^2*sqrt(-a+b*x)
+--R 
+--R
+--R                        +-------+
+--R             2 +-+     \|b x - a        2 2                2  +-------+
+--R        - 30a \|a atan(----------) + (6b x  - 22a b x + 46a )\|b x - a
+--R                           +-+
+--R                          \|a
+--R   (2)  ---------------------------------------------------------------
+--R                                       15
+--R                                                    Type: Expression(Integer)
+--E 1601
+
+--S 1602 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                           +---+ +-------+
+--R            2 +---+    - 2\|- a \|b x - a  + b x - 2a
+--R         15a \|- a log(------------------------------)
+--R                                      x
+--R       + 
+--R            2 2                2  +-------+
+--R         (6b x  - 22a b x + 46a )\|b x - a
+--R    /
+--R       15
+--R     ,
+--R                    +-------+
+--R         2 +-+     \|b x - a        2 2                2  +-------+
+--R    - 30a \|a atan(----------) + (6b x  - 22a b x + 46a )\|b x - a
+--R                       +-+
+--R                      \|a
+--R    ---------------------------------------------------------------]
+--R                                   15
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1602
+
+--S 1603 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                        +---+ +-------+                            +-------+
+--R         2 +---+    - 2\|- a \|b x - a  + b x - 2a      2 +-+     \|b x - a
+--R   (4)  a \|- a log(------------------------------) + 2a \|a atan(----------)
+--R                                   x                                  +-+
+--R                                                                     \|a
+--R                                                    Type: Expression(Integer)
+--E 1603
+
+--S 1604 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1604
+
+--S 1605 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R   (6)  0
+--R                                                    Type: Expression(Integer)
+--E 1605
+
+--S 1606 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1606
+
+)clear all
+
+--S 1607 of 3330
+t0000:=(-a+b*x)^(5/2)/x^2
+--R 
+--R
+--R          2 2             2  +-------+
+--R        (b x  - 2a b x + a )\|b x - a
+--R   (1)  ------------------------------
+--R                       2
+--R                      x
+--R                                                    Type: Expression(Integer)
+--E 1607
+
+--S 1608 of 3330
+r0000:=5/3*b*(-a+b*x)^(3/2)-(-a+b*x)^(5/2)/x+_
+     5*a^(3/2)*b*atan(sqrt(-a+b*x)/sqrt(a))-5*a*b*sqrt(-a+b*x)
+--R 
+--R
+--R                         +-------+
+--R                +-+     \|b x - a        2 2               2  +-------+
+--R        15a b x\|a atan(----------) + (2b x  - 14a b x - 3a )\|b x - a
+--R                            +-+
+--R                           \|a
+--R   (2)  ---------------------------------------------------------------
+--R                                       3x
+--R                                                    Type: Expression(Integer)
+--E 1608
+
+--S 1609 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                            +---+ +-------+
+--R                 +---+    2\|- a \|b x - a  + b x - 2a
+--R         15a b x\|- a log(----------------------------)
+--R                                        x
+--R       + 
+--R            2 2               2  +-------+
+--R         (4b x  - 28a b x - 6a )\|b x - a
+--R    /
+--R       6x
+--R     ,
+--R                     +-------+
+--R            +-+     \|b x - a        2 2               2  +-------+
+--R    15a b x\|a atan(----------) + (2b x  - 14a b x - 3a )\|b x - a
+--R                        +-+
+--R                       \|a
+--R    ---------------------------------------------------------------]
+--R                                   3x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1609
+
+--S 1610 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                   +---+ +-------+                              +-------+
+--R        +---+    2\|- a \|b x - a  + b x - 2a          +-+     \|b x - a
+--R   5a b\|- a log(----------------------------) - 10a b\|a atan(----------)
+--R                               x                                   +-+
+--R                                                                  \|a
+--R   -----------------------------------------------------------------------
+--R                                      2
+--R                                                    Type: Expression(Integer)
+--E 1610
+
+--S 1611 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1611
+
+--S 1612 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R   (6)  0
+--R                                                    Type: Expression(Integer)
+--E 1612
+
+--S 1613 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1613
+
+)clear all
+
+--S 1614 of 3330
+t0000:=(-a+b*x)^(5/2)/x^3
+--R 
+--R
+--R          2 2             2  +-------+
+--R        (b x  - 2a b x + a )\|b x - a
+--R   (1)  ------------------------------
+--R                       3
+--R                      x
+--R                                                    Type: Expression(Integer)
+--E 1614
+
+--S 1615 of 3330
+r0000:=-5/4*b*(-a+b*x)^(3/2)/x-1/2*(-a+b*x)^(5/2)/x^2-_
+     15/4*b^2*atan(sqrt(-a+b*x)/sqrt(a))*sqrt(a)+15/4*b^2*sqrt(-a+b*x)
+--R 
+--R
+--R                          +-------+
+--R             2 2 +-+     \|b x - a        2 2              2  +-------+
+--R        - 15b x \|a atan(----------) + (8b x  + 9a b x - 2a )\|b x - a
+--R                             +-+
+--R                            \|a
+--R   (2)  ---------------------------------------------------------------
+--R                                        2
+--R                                      4x
+--R                                                    Type: Expression(Integer)
+--E 1615
+
+--S 1616 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                             +---+ +-------+
+--R            2 2 +---+    - 2\|- a \|b x - a  + b x - 2a
+--R         15b x \|- a log(------------------------------)
+--R                                        x
+--R       + 
+--R             2 2               2  +-------+
+--R         (16b x  + 18a b x - 4a )\|b x - a
+--R    /
+--R         2
+--R       8x
+--R     ,
+--R                      +-------+
+--R         2 2 +-+     \|b x - a        2 2              2  +-------+
+--R    - 15b x \|a atan(----------) + (8b x  + 9a b x - 2a )\|b x - a
+--R                         +-+
+--R                        \|a
+--R    ---------------------------------------------------------------]
+--R                                    2
+--R                                  4x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1616
+
+--S 1617 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                     +---+ +-------+                             +-------+
+--R      2 +---+    - 2\|- a \|b x - a  + b x - 2a       2 +-+     \|b x - a
+--R   15b \|- a log(------------------------------) + 30b \|a atan(----------)
+--R                                x                                   +-+
+--R                                                                   \|a
+--R   ------------------------------------------------------------------------
+--R                                       8
+--R                                                    Type: Expression(Integer)
+--E 1617
+
+--S 1618 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1618
+
+--S 1619 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R   (6)  0
+--R                                                    Type: Expression(Integer)
+--E 1619
+
+--S 1620 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1620
+
+)clear all
+
+--S 1621 of 3330
+t0000:=x^m/sqrt(a+b*x)
+--R 
+--R
+--R             m
+--R            x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1621
+
+--S 1622 of 3330
+--r0000:=2*x^m*hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/(b*(-b*x/a)^m)
+--E 1622
+
+--S 1623 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x       m
+--R         ++      %N
+--R   (2)   |   ----------- d%N
+--R        ++    +--------+
+--R             \|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1623
+
+--S 1624 of 3330
+--m0000:=a0000 - r0000
+--E 1624
+
+--S 1625 of 3330
+--d0000:=D(m0000,x)
+--E 1625
+
+)clear all
+
+--S 1626 of 3330
+t0000:=x^4/sqrt(a+b*x)
+--R 
+--R
+--R             4
+--R            x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1626
+
+--S 1627 of 3330
+r0000:=-8/3*a^3*(a+b*x)^(3/2)/b^5+12/5*a^2*(a+b*x)^(5/2)/b^5-_
+     8/7*a*(a+b*x)^(7/2)/b^5+2/9*(a+b*x)^(9/2)/b^5+2*a^4*sqrt(a+b*x)/b^5
+--R 
+--R
+--R            4 4        3 3      2 2 2       3          4  +-------+
+--R        (70b x  - 80a b x  + 96a b x  - 128a b x + 256a )\|b x + a
+--R   (2)  -----------------------------------------------------------
+--R                                       5
+--R                                   315b
+--R                                                    Type: Expression(Integer)
+--E 1627
+
+--S 1628 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            4 4        3 3      2 2 2       3          4  +-------+
+--R        (70b x  - 80a b x  + 96a b x  - 128a b x + 256a )\|b x + a
+--R   (3)  -----------------------------------------------------------
+--R                                       5
+--R                                   315b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1628
+
+--S 1629 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1629
+
+--S 1630 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1630
+
+)clear all
+
+--S 1631 of 3330
+t0000:=x^3/sqrt(a+b*x)
+--R 
+--R
+--R             3
+--R            x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1631
+
+--S 1632 of 3330
+r0000:=2*a^2*(a+b*x)^(3/2)/b^4-6/5*a*(a+b*x)^(5/2)/b^4+_
+     2/7*(a+b*x)^(7/2)/b^4-2*a^3*sqrt(a+b*x)/b^4
+--R 
+--R
+--R            3 3        2 2      2         3  +-------+
+--R        (10b x  - 12a b x  + 16a b x - 32a )\|b x + a
+--R   (2)  ----------------------------------------------
+--R                                4
+--R                             35b
+--R                                                    Type: Expression(Integer)
+--E 1632
+
+--S 1633 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 3        2 2      2         3  +-------+
+--R        (10b x  - 12a b x  + 16a b x - 32a )\|b x + a
+--R   (3)  ----------------------------------------------
+--R                                4
+--R                             35b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1633
+
+--S 1634 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1634
+
+--S 1635 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1635
+
+)clear all
+
+--S 1636 of 3330
+t0000:=x^2/sqrt(a+b*x)
+--R 
+--R
+--R             2
+--R            x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1636
+
+--S 1637 of 3330
+r0000:=-4/3*a*(a+b*x)^(3/2)/b^3+2/5*(a+b*x)^(5/2)/b^3+2*a^2*sqrt(a+b*x)/b^3
+--R 
+--R
+--R           2 2               2  +-------+
+--R        (6b x  - 8a b x + 16a )\|b x + a
+--R   (2)  ---------------------------------
+--R                          3
+--R                       15b
+--R                                                    Type: Expression(Integer)
+--E 1637
+
+--S 1638 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2               2  +-------+
+--R        (6b x  - 8a b x + 16a )\|b x + a
+--R   (3)  ---------------------------------
+--R                          3
+--R                       15b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1638
+
+--S 1639 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1639
+
+--S 1640 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1640
+
+)clear all
+
+--S 1641 of 3330
+t0000:=x/sqrt(a+b*x)
+--R 
+--R
+--R             x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1641
+
+--S 1642 of 3330
+r0000:=2/3*(a+b*x)^(3/2)/b^2-2*a*sqrt(a+b*x)/b^2
+--R 
+--R
+--R                    +-------+
+--R        (2b x - 4a)\|b x + a
+--R   (2)  ---------------------
+--R                   2
+--R                 3b
+--R                                                    Type: Expression(Integer)
+--E 1642
+
+--S 1643 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                    +-------+
+--R        (2b x - 4a)\|b x + a
+--R   (3)  ---------------------
+--R                   2
+--R                 3b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1643
+
+--S 1644 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1644
+
+--S 1645 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1645
+
+)clear all
+
+--S 1646 of 3330
+t0000:=1/sqrt(a+b*x)
+--R 
+--R
+--R             1
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1646
+
+--S 1647 of 3330
+r0000:=2*sqrt(a+b*x)/b
+--R 
+--R
+--R          +-------+
+--R        2\|b x + a
+--R   (2)  -----------
+--R             b
+--R                                                    Type: Expression(Integer)
+--E 1647
+
+--S 1648 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          +-------+
+--R        2\|b x + a
+--R   (3)  -----------
+--R             b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1648
+
+--S 1649 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1649
+
+--S 1650 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1650
+
+)clear all
+
+--S 1651 of 3330
+t0000:=1/(x*sqrt(a+b*x))
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R          +-------+
+--R        x\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1651
+
+--S 1652 of 3330
+r0000:=-2*atanh(sqrt(a+b*x)/sqrt(a))/sqrt(a)
+--R 
+--R
+--R                  +-------+
+--R                 \|b x + a
+--R          2atanh(----------)
+--R                     +-+
+--R                    \|a
+--R   (2)  - ------------------
+--R                  +-+
+--R                 \|a
+--R                                                    Type: Expression(Integer)
+--E 1652
+
+--S 1653 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                  +-------+              +-+           +---+ +-------+
+--R             - 2a\|b x + a  + (b x + 2a)\|a           \|- a \|b x + a
+--R         log(-------------------------------)   2atan(----------------)
+--R                            x                                 a
+--R   (3)  [------------------------------------,- -----------------------]
+--R                          +-+                             +---+
+--R                         \|a                             \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1653
+
+--S 1654 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                 +-------+              +-+            +-------+
+--R            - 2a\|b x + a  + (b x + 2a)\|a            \|b x + a
+--R        log(-------------------------------) + 2atanh(----------)
+--R                           x                              +-+
+--R                                                         \|a
+--R   (4)  ---------------------------------------------------------
+--R                                    +-+
+--R                                   \|a
+--R                                                    Type: Expression(Integer)
+--E 1654
+
+--S 1655 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1655
+
+--S 1656 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-------+               +---+ +-------+
+--R          +---+      \|b x + a       +-+     \|- a \|b x + a
+--R        2\|- a atanh(----------) - 2\|a atan(----------------)
+--R                         +-+                         a
+--R                        \|a
+--R   (6)  ------------------------------------------------------
+--R                               +---+ +-+
+--R                              \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1656
+
+--S 1657 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1657
+
+)clear all
+
+--S 1658 of 3330
+t0000:=1/(x^2*sqrt(a+b*x))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R         2 +-------+
+--R        x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1658
+
+--S 1659 of 3330
+r0000:=b*atanh(sqrt(a+b*x)/sqrt(a))/a^(3/2)-sqrt(a+b*x)/(a*x)
+--R 
+--R
+--R                   +-------+
+--R                  \|b x + a      +-+ +-------+
+--R        b x atanh(----------) - \|a \|b x + a
+--R                      +-+
+--R                     \|a
+--R   (2)  --------------------------------------
+--R                            +-+
+--R                        a x\|a
+--R                                                    Type: Expression(Integer)
+--E 1659
+
+--S 1660 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               +-------+              +-+
+--R            2a\|b x + a  + (b x + 2a)\|a       +-+ +-------+
+--R    b x log(-----------------------------) - 2\|a \|b x + a
+--R                          x
+--R   [--------------------------------------------------------,
+--R                                 +-+
+--R                            2a x\|a
+--R              +---+ +-------+
+--R             \|- a \|b x + a      +---+ +-------+
+--R    b x atan(----------------) - \|- a \|b x + a
+--R                     a
+--R    ---------------------------------------------]
+--R                          +---+
+--R                      a x\|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1660
+
+--S 1661 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                 +-------+              +-+              +-------+
+--R              2a\|b x + a  + (b x + 2a)\|a              \|b x + a
+--R        b log(-----------------------------) - 2b atanh(----------)
+--R                            x                               +-+
+--R                                                           \|a
+--R   (4)  -----------------------------------------------------------
+--R                                      +-+
+--R                                   2a\|a
+--R                                                    Type: Expression(Integer)
+--E 1661
+
+--S 1662 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1662
+
+--S 1663 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                        +-------+               +---+ +-------+
+--R            +---+      \|b x + a       +-+     \|- a \|b x + a
+--R        - b\|- a atanh(----------) + b\|a atan(----------------)
+--R                           +-+                         a
+--R                          \|a
+--R   (6)  --------------------------------------------------------
+--R                                 +---+ +-+
+--R                               a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1663
+
+--S 1664 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1664
+
+)clear all
+
+--S 1665 of 3330
+t0000:=1/(x^3*sqrt(a+b*x))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R         3 +-------+
+--R        x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1665
+
+--S 1666 of 3330
+r0000:=-3/4*b^2*atanh(sqrt(a+b*x)/sqrt(a))/a^(5/2)-_
+     1/2*sqrt(a+b*x)/(a*x^2)+3/4*b*sqrt(a+b*x)/(a^2*x)
+--R 
+--R
+--R                      +-------+
+--R            2 2      \|b x + a                 +-+ +-------+
+--R        - 3b x atanh(----------) + (3b x - 2a)\|a \|b x + a
+--R                         +-+
+--R                        \|a
+--R   (2)  ----------------------------------------------------
+--R                                2 2 +-+
+--R                              4a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1666
+
+--S 1667 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                  +-------+              +-+
+--R      2 2    - 2a\|b x + a  + (b x + 2a)\|a                 +-+ +-------+
+--R    3b x log(-------------------------------) + (6b x - 4a)\|a \|b x + a
+--R                            x
+--R   [---------------------------------------------------------------------,
+--R                                    2 2 +-+
+--R                                  8a x \|a
+--R                 +---+ +-------+
+--R        2 2     \|- a \|b x + a                 +---+ +-------+
+--R    - 3b x atan(----------------) + (3b x - 2a)\|- a \|b x + a
+--R                        a
+--R    -----------------------------------------------------------]
+--R                              2 2 +---+
+--R                            4a x \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1667
+
+--S 1668 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                    +-------+              +-+              +-------+
+--R          2    - 2a\|b x + a  + (b x + 2a)\|a       2      \|b x + a
+--R        3b log(-------------------------------) + 6b atanh(----------)
+--R                              x                                +-+
+--R                                                              \|a
+--R   (4)  --------------------------------------------------------------
+--R                                      2 +-+
+--R                                    8a \|a
+--R                                                    Type: Expression(Integer)
+--E 1668
+
+--S 1669 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1669
+
+--S 1670 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                        +-------+                 +---+ +-------+
+--R          2 +---+      \|b x + a       2 +-+     \|- a \|b x + a
+--R        3b \|- a atanh(----------) - 3b \|a atan(----------------)
+--R                           +-+                           a
+--R                          \|a
+--R   (6)  ----------------------------------------------------------
+--R                                 2 +---+ +-+
+--R                               4a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1670
+
+--S 1671 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1671
+
+)clear all
+
+--S 1672 of 3330
+t0000:=1/(x^4*sqrt(a+b*x))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R         4 +-------+
+--R        x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1672
+
+--S 1673 of 3330
+r0000:=5/8*b^3*atanh(sqrt(a+b*x)/sqrt(a))/a^(7/2)-_
+     1/3*sqrt(a+b*x)/(a*x^3)+5/12*b*sqrt(a+b*x)/(a^2*x^2)-_
+     5/8*b^2*sqrt(a+b*x)/(a^3*x)
+--R 
+--R
+--R                     +-------+
+--R           3 3      \|b x + a           2 2               2  +-+ +-------+
+--R        15b x atanh(----------) + (- 15b x  + 10a b x - 8a )\|a \|b x + a
+--R                        +-+
+--R                       \|a
+--R   (2)  ------------------------------------------------------------------
+--R                                       3 3 +-+
+--R                                    24a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1673
+
+--S 1674 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                      +-------+              +-+
+--R            3 3    2a\|b x + a  + (b x + 2a)\|a
+--R         15b x log(-----------------------------)
+--R                                 x
+--R       + 
+--R               2 2                2  +-+ +-------+
+--R         (- 30b x  + 20a b x - 16a )\|a \|b x + a
+--R    /
+--R          3 3 +-+
+--R       48a x \|a
+--R     ,
+--R                +---+ +-------+
+--R       3 3     \|- a \|b x + a           2 2               2  +---+ +-------+
+--R    15b x atan(----------------) + (- 15b x  + 10a b x - 8a )\|- a \|b x + a
+--R                       a
+--R    -------------------------------------------------------------------------]
+--R                                      3 3 +---+
+--R                                   24a x \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1674
+
+--S 1675 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                  +-------+              +-+               +-------+
+--R          3    2a\|b x + a  + (b x + 2a)\|a        3      \|b x + a
+--R        5b log(-----------------------------) - 10b atanh(----------)
+--R                             x                                +-+
+--R                                                             \|a
+--R   (4)  -------------------------------------------------------------
+--R                                      3 +-+
+--R                                   16a \|a
+--R                                                    Type: Expression(Integer)
+--E 1675
+
+--S 1676 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1676
+
+--S 1677 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                          +-------+                 +---+ +-------+
+--R            3 +---+      \|b x + a       3 +-+     \|- a \|b x + a
+--R        - 5b \|- a atanh(----------) + 5b \|a atan(----------------)
+--R                             +-+                           a
+--R                            \|a
+--R   (6)  ------------------------------------------------------------
+--R                                  3 +---+ +-+
+--R                                8a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1677
+
+--S 1678 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1678
+
+)clear all
+
+--S 1679 of 3330
+t0000:=x^m/(a+b*x)^(3/2)
+--R 
+--R
+--R                  m
+--R                 x
+--R   (1)  -------------------
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1679
+
+--S 1680 of 3330
+--r0000:=2*x^(1+m)/(a*sqrt(a+b*x))-2*(1+2*m)*x^m*_
+--       hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/(a*b*(-b*x/a)^m)
+--E 1680
+
+--S 1681 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x            m
+--R         ++           %N
+--R   (2)   |   --------------------- d%N
+--R        ++              +--------+
+--R             (%N b + a)\|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1681
+
+--S 1682 of 3330
+--m0000:=a0000 - r0000
+--E 1682
+
+--S 1683 of 3330
+--d0000:=D(m0000,x)
+--E 1683
+
+)clear all
+
+--S 1684 of 3330
+t0000:=x^4/(a+b*x)^(3/2)
+--R 
+--R
+--R                  4
+--R                 x
+--R   (1)  -------------------
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1684
+
+--S 1685 of 3330
+r0000:=4*a^2*(a+b*x)^(3/2)/b^5-8/5*a*(a+b*x)^(5/2)/b^5+_
+     2/7*(a+b*x)^(7/2)/b^5-2*a^4/(b^5*sqrt(a+b*x))-8*a^3*sqrt(a+b*x)/b^5
+--R 
+--R
+--R           4 4        3 3      2 2 2       3          4
+--R        10b x  - 16a b x  + 32a b x  - 128a b x - 256a
+--R   (2)  -----------------------------------------------
+--R                            5 +-------+
+--R                         35b \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1685
+
+--S 1686 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           4 4        3 3      2 2 2       3          4
+--R        10b x  - 16a b x  + 32a b x  - 128a b x - 256a
+--R   (3)  -----------------------------------------------
+--R                            5 +-------+
+--R                         35b \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1686
+
+--S 1687 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1687
+
+--S 1688 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1688
+
+)clear all
+
+--S 1689 of 3330
+t0000:=x^3/(a+b*x)^(3/2)
+--R 
+--R
+--R                  3
+--R                 x
+--R   (1)  -------------------
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1689
+
+--S 1690 of 3330
+r0000:=-2*a*(a+b*x)^(3/2)/b^4+2/5*(a+b*x)^(5/2)/b^4+_
+     2*a^3/(b^4*sqrt(a+b*x))+6*a^2*sqrt(a+b*x)/b^4
+--R 
+--R
+--R          3 3       2 2      2         3
+--R        2b x  - 4a b x  + 16a b x + 32a
+--R   (2)  --------------------------------
+--R                    4 +-------+
+--R                  5b \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1690
+
+--S 1691 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3 3       2 2      2         3
+--R        2b x  - 4a b x  + 16a b x + 32a
+--R   (3)  --------------------------------
+--R                    4 +-------+
+--R                  5b \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1691
+
+--S 1692 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1692
+
+--S 1693 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1693
+
+)clear all
+
+--S 1694 of 3330
+t0000:=x^2/(a+b*x)^(3/2)
+--R 
+--R
+--R                  2
+--R                 x
+--R   (1)  -------------------
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1694
+
+--S 1695 of 3330
+r0000:=2/3*(a+b*x)^(3/2)/b^3-2*a^2/(b^3*sqrt(a+b*x))-4*a*sqrt(a+b*x)/b^3
+--R 
+--R
+--R          2 2               2
+--R        2b x  - 8a b x - 16a
+--R   (2)  ---------------------
+--R              3 +-------+
+--R            3b \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1695
+
+--S 1696 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2 2               2
+--R        2b x  - 8a b x - 16a
+--R   (3)  ---------------------
+--R              3 +-------+
+--R            3b \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1696
+
+--S 1697 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1697
+
+--S 1698 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1698
+
+)clear all
+
+--S 1699 of 3330
+t0000:=x/(a+b*x)^(3/2)
+--R 
+--R
+--R                 x
+--R   (1)  -------------------
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1699
+
+--S 1700 of 3330
+r0000:=2*a/(b^2*sqrt(a+b*x))+2*sqrt(a+b*x)/b^2
+--R 
+--R
+--R          2b x + 4a
+--R   (2)  ------------
+--R         2 +-------+
+--R        b \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1700
+
+--S 1701 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2b x + 4a
+--R   (3)  ------------
+--R         2 +-------+
+--R        b \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1701
+
+--S 1702 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1702
+
+--S 1703 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1703
+
+)clear all
+
+--S 1704 of 3330
+t0000:=1/(a+b*x)^(3/2)
+--R 
+--R
+--R                 1
+--R   (1)  -------------------
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1704
+
+--S 1705 of 3330
+r0000:=(-2)/(b*sqrt(a+b*x))
+--R 
+--R
+--R               2
+--R   (2)  - -----------
+--R            +-------+
+--R          b\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1705
+
+--S 1706 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R               2
+--R   (3)  - -----------
+--R            +-------+
+--R          b\|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1706
+
+--S 1707 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1707
+
+--S 1708 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1708
+
+)clear all
+
+--S 1709 of 3330
+t0000:=1/(x*(a+b*x)^(3/2))
+--R 
+--R
+--R                   1
+--R   (1)  ----------------------
+--R            2        +-------+
+--R        (b x  + a x)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1709
+
+--S 1710 of 3330
+r0000:=-2*atanh(sqrt(a+b*x)/sqrt(a))/a^(3/2)+2/(a*sqrt(a+b*x))
+--R 
+--R
+--R                            +-------+
+--R            +-------+      \|b x + a       +-+
+--R        - 2\|b x + a atanh(----------) + 2\|a
+--R                               +-+
+--R                              \|a
+--R   (2)  --------------------------------------
+--R                      +-+ +-------+
+--R                    a\|a \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1710
+
+--S 1711 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                       +-------+              +-+
+--R     +-------+    - 2a\|b x + a  + (b x + 2a)\|a       +-+
+--R    \|b x + a log(-------------------------------) + 2\|a
+--R                                 x
+--R   [------------------------------------------------------,
+--R                          +-+ +-------+
+--R                        a\|a \|b x + a
+--R                       +---+ +-------+
+--R        +-------+     \|- a \|b x + a       +---+
+--R    - 2\|b x + a atan(----------------) + 2\|- a
+--R                              a
+--R    ---------------------------------------------]
+--R                    +---+ +-------+
+--R                  a\|- a \|b x + a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1711
+
+--S 1712 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                 +-------+              +-+            +-------+
+--R            - 2a\|b x + a  + (b x + 2a)\|a            \|b x + a
+--R        log(-------------------------------) + 2atanh(----------)
+--R                           x                              +-+
+--R                                                         \|a
+--R   (4)  ---------------------------------------------------------
+--R                                    +-+
+--R                                  a\|a
+--R                                                    Type: Expression(Integer)
+--E 1712
+
+--S 1713 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1713
+
+--S 1714 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-------+               +---+ +-------+
+--R          +---+      \|b x + a       +-+     \|- a \|b x + a
+--R        2\|- a atanh(----------) - 2\|a atan(----------------)
+--R                         +-+                         a
+--R                        \|a
+--R   (6)  ------------------------------------------------------
+--R                                +---+ +-+
+--R                              a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1714
+
+--S 1715 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1715
+
+)clear all
+
+--S 1716 of 3330
+t0000:=1/(x^2*(a+b*x)^(3/2))
+--R 
+--R
+--R                   1
+--R   (1)  -----------------------
+--R            3      2  +-------+
+--R        (b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1716
+
+--S 1717 of 3330
+r0000:=3*b*atanh(sqrt(a+b*x)/sqrt(a))/a^(5/2)+2/(a*x*sqrt(a+b*x))-_
+     3*sqrt(a+b*x)/(a^2*x)
+--R 
+--R
+--R                             +-------+
+--R             +-------+      \|b x + a                  +-+
+--R        3b x\|b x + a atanh(----------) + (- 3b x - a)\|a
+--R                                +-+
+--R                               \|a
+--R   (2)  --------------------------------------------------
+--R                          2  +-+ +-------+
+--R                         a x\|a \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1717
+
+--S 1718 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                         +-------+              +-+
+--R         +-------+    2a\|b x + a  + (b x + 2a)\|a                   +-+
+--R    3b x\|b x + a log(-----------------------------) + (- 6b x - 2a)\|a
+--R                                    x
+--R   [--------------------------------------------------------------------,
+--R                               2  +-+ +-------+
+--R                             2a x\|a \|b x + a
+--R                        +---+ +-------+
+--R         +-------+     \|- a \|b x + a                  +---+
+--R    3b x\|b x + a atan(----------------) + (- 3b x - a)\|- a
+--R                               a
+--R    ---------------------------------------------------------]
+--R                        2  +---+ +-------+
+--R                       a x\|- a \|b x + a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1718
+
+--S 1719 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                  +-------+              +-+              +-------+
+--R               2a\|b x + a  + (b x + 2a)\|a              \|b x + a
+--R        3b log(-----------------------------) - 6b atanh(----------)
+--R                             x                               +-+
+--R                                                            \|a
+--R   (4)  ------------------------------------------------------------
+--R                                     2 +-+
+--R                                   2a \|a
+--R                                                    Type: Expression(Integer)
+--E 1719
+
+--S 1720 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1720
+
+--S 1721 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-------+                +---+ +-------+
+--R             +---+      \|b x + a        +-+     \|- a \|b x + a
+--R        - 3b\|- a atanh(----------) + 3b\|a atan(----------------)
+--R                            +-+                          a
+--R                           \|a
+--R   (6)  ----------------------------------------------------------
+--R                                2 +---+ +-+
+--R                               a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1721
+
+--S 1722 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1722
+
+)clear all
+
+--S 1723 of 3330
+t0000:=1/(x^3*(a+b*x)^(3/2))
+--R 
+--R
+--R                   1
+--R   (1)  -----------------------
+--R            4      3  +-------+
+--R        (b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1723
+
+--S 1724 of 3330
+r0000:=-15/4*b^2*atanh(sqrt(a+b*x)/sqrt(a))/a^(7/2)+2/(a*x^2*sqrt(a+b*x))-_
+     5/2*sqrt(a+b*x)/(a^2*x^2)+15/4*b*sqrt(a+b*x)/(a^3*x)
+--R 
+--R
+--R                                 +-------+
+--R             2 2 +-------+      \|b x + a         2 2              2  +-+
+--R        - 15b x \|b x + a atanh(----------) + (15b x  + 5a b x - 2a )\|a
+--R                                    +-+
+--R                                   \|a
+--R   (2)  -----------------------------------------------------------------
+--R                                 3 2 +-+ +-------+
+--R                               4a x \|a \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1724
+
+--S 1725 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                  +-------+              +-+
+--R            2 2 +-------+    - 2a\|b x + a  + (b x + 2a)\|a
+--R         15b x \|b x + a log(-------------------------------)
+--R                                            x
+--R       + 
+--R             2 2               2  +-+
+--R         (30b x  + 10a b x - 4a )\|a
+--R    /
+--R         3 2 +-+ +-------+
+--R       8a x \|a \|b x + a
+--R     ,
+--R                            +---+ +-------+
+--R         2 2 +-------+     \|- a \|b x + a         2 2              2  +---+
+--R    - 15b x \|b x + a atan(----------------) + (15b x  + 5a b x - 2a )\|- a
+--R                                   a
+--R    ------------------------------------------------------------------------]
+--R                                3 2 +---+ +-------+
+--R                              4a x \|- a \|b x + a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1725
+
+--S 1726 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                     +-------+              +-+               +-------+
+--R           2    - 2a\|b x + a  + (b x + 2a)\|a        2      \|b x + a
+--R        15b log(-------------------------------) + 30b atanh(----------)
+--R                               x                                 +-+
+--R                                                                \|a
+--R   (4)  ----------------------------------------------------------------
+--R                                       3 +-+
+--R                                     8a \|a
+--R                                                    Type: Expression(Integer)
+--E 1726
+
+--S 1727 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1727
+
+--S 1728 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-------+                  +---+ +-------+
+--R           2 +---+      \|b x + a        2 +-+     \|- a \|b x + a
+--R        15b \|- a atanh(----------) - 15b \|a atan(----------------)
+--R                            +-+                            a
+--R                           \|a
+--R   (6)  ------------------------------------------------------------
+--R                                  3 +---+ +-+
+--R                                4a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1728
+
+--S 1729 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1729
+
+)clear all
+
+--S 1730 of 3330
+t0000:=x^m/(a+b*x)^(5/2)
+--R 
+--R
+--R                       m
+--R                      x
+--R   (1)  ------------------------------
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1730
+
+--S 1731 of 3330
+--r0000:=2/3*x^(1+m)/(a*(a+b*x)^(3/2))+2/3*(1-2*m)*x^(1+m)/(a^2*sqrt(a+b*x))-_
+--       2/3*(1-2*m)*(1+2*m)*x^m*_
+--       hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/(a^2*b*(-b*x/a)^m)
+--E 1731
+
+--S 1732 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x                  m
+--R         ++                 %N
+--R   (2)   |   --------------------------------- d%N
+--R        ++      2 2              2  +--------+
+--R             (%N b  + 2%N a b + a )\|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1732
+
+--S 1733 of 3330
+--m0000:=a0000 - r0000
+--E 1733
+
+--S 1734 of 3330
+--d0000:=D(m0000,x)
+--E 1734
+
+)clear all
+
+--S 1735 of 3330
+--t0000:=x^4/(a+b*x)^(5/2)
+--E 1735
+
+--S 1736 of 3330
+r0000:=-2/3*a^4/(b^5*(a+b*x)^(3/2))-8/3*a*(a+b*x)^(3/2)/b^5+_
+     2/5*(a+b*x)^(5/2)/b^5+8*a^3/(b^5*sqrt(a+b*x))+12*a^2*sqrt(a+b*x)/b^5
+--R 
+--R
+--R          4 4        3 3      2 2 2       3          4
+--R        6b x  - 16a b x  + 96a b x  + 384a b x + 256a
+--R   (1)  ----------------------------------------------
+--R                      6         5  +-------+
+--R                  (15b x + 15a b )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1736
+
+--S 1737 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (2)  t0000 x
+--R                                          Type: Polynomial(Fraction(Integer))
+--E 1737
+
+--S 1738 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (3)
+--R           6       2        5         +-------+     4 4        3 3      2 2 2
+--R       (15b t0000 x  + 15a b t0000 x)\|b x + a  - 6b x  + 16a b x  - 96a b x
+--R     + 
+--R             3          4
+--R       - 384a b x - 256a
+--R  /
+--R         6         5  +-------+
+--R     (15b x + 15a b )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1738
+
+--S 1739 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R          2       2                   2       +-------+    4
+--R        (b t0000 x  + 2a b t0000 x + a t0000)\|b x + a  - x
+--R   (4)  ----------------------------------------------------
+--R                     2 2             2  +-------+
+--R                   (b x  + 2a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1739
+
+)clear all
+
+--S 1740 of 3330
+t0000:=x^3/(a+b*x)^(5/2)
+--R 
+--R
+--R                       3
+--R                      x
+--R   (1)  ------------------------------
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1740
+
+--S 1741 of 3330
+r0000:=2/3*a^3/(b^4*(a+b*x)^(3/2))+2/3*(a+b*x)^(3/2)/b^4-_
+     6*a^2/(b^4*sqrt(a+b*x))-6*a*sqrt(a+b*x)/b^4
+--R 
+--R
+--R          3 3        2 2      2         3
+--R        2b x  - 12a b x  - 48a b x - 32a
+--R   (2)  ---------------------------------
+--R                5        4  +-------+
+--R             (3b x + 3a b )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1741
+
+--S 1742 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3 3        2 2      2         3
+--R        2b x  - 12a b x  - 48a b x - 32a
+--R   (3)  ---------------------------------
+--R                5        4  +-------+
+--R             (3b x + 3a b )\|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1742
+
+--S 1743 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1743
+
+--S 1744 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1744
+
+)clear all
+
+--S 1745 of 3330
+t0000:=x^2/(a+b*x)^(5/2)
+--R 
+--R
+--R                       2
+--R                      x
+--R   (1)  ------------------------------
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1745
+
+--S 1746 of 3330
+r0000:=-2/3*a^2/(b^3*(a+b*x)^(3/2))+4*a/(b^3*sqrt(a+b*x))+2*sqrt(a+b*x)/b^3
+--R 
+--R
+--R           2 2                2
+--R         6b x  + 24a b x + 16a
+--R   (2)  ------------------------
+--R           4        3  +-------+
+--R        (3b x + 3a b )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1746
+
+--S 1747 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2                2
+--R         6b x  + 24a b x + 16a
+--R   (3)  ------------------------
+--R           4        3  +-------+
+--R        (3b x + 3a b )\|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1747
+
+--S 1748 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1748
+
+--S 1749 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1749
+
+)clear all
+
+--S 1750 of 3330
+t0000:=x/(a+b*x)^(5/2)
+--R 
+--R
+--R                       x
+--R   (1)  ------------------------------
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1750
+
+--S 1751 of 3330
+r0000:=2/3*a/(b^2*(a+b*x)^(3/2))+(-2)/(b^2*sqrt(a+b*x))
+--R 
+--R
+--R               - 6b x - 4a
+--R   (2)  ------------------------
+--R           3        2  +-------+
+--R        (3b x + 3a b )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1751
+
+--S 1752 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R               - 6b x - 4a
+--R   (3)  ------------------------
+--R           3        2  +-------+
+--R        (3b x + 3a b )\|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1752
+
+--S 1753 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1753
+
+--S 1754 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1754
+
+)clear all
+
+--S 1755 of 3330
+t0000:=1/(a+b*x)^(5/2)
+--R 
+--R
+--R                       1
+--R   (1)  ------------------------------
+--R          2 2             2  +-------+
+--R        (b x  + 2a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1755
+
+--S 1756 of 3330
+r0000:=(-2/3)/(b*(a+b*x)^(3/2))
+--R 
+--R
+--R                     2
+--R   (2)  - -----------------------
+--R             2          +-------+
+--R          (3b x + 3a b)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1756
+
+--S 1757 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                     2
+--R   (3)  - -----------------------
+--R             2          +-------+
+--R          (3b x + 3a b)\|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1757
+
+--S 1758 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1758
+
+--S 1759 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1759
+
+)clear all
+
+--S 1760 of 3330
+t0000:=1/(x*(a+b*x)^(5/2))
+--R 
+--R
+--R                        1
+--R   (1)  --------------------------------
+--R          2 3         2    2   +-------+
+--R        (b x  + 2a b x  + a x)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1760
+
+--S 1761 of 3330
+r0000:=2/3/(a*(a+b*x)^(3/2))-2*atanh(sqrt(a+b*x)/sqrt(a))/a^(5/2)+_
+     2/(a^2*sqrt(a+b*x))
+--R 
+--R
+--R                                      +-------+
+--R                      +-------+      \|b x + a                 +-+
+--R        (- 6b x - 6a)\|b x + a atanh(----------) + (6b x + 8a)\|a
+--R                                         +-+
+--R                                        \|a
+--R   (2)  ----------------------------------------------------------
+--R                          2        3  +-+ +-------+
+--R                       (3a b x + 3a )\|a \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1761
+
+--S 1762 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                                  +-------+              +-+
+--R                +-------+    - 2a\|b x + a  + (b x + 2a)\|a                 +-+
+--R    (3b x + 3a)\|b x + a log(-------------------------------) + (6b x + 8a)\|a
+--R                                            x
+--R   [---------------------------------------------------------------------------,
+--R                               2        3  +-+ +-------+
+--R                            (3a b x + 3a )\|a \|b x + a
+--R                                 +---+ +-------+
+--R                  +-------+     \|- a \|b x + a                 +---+
+--R    (- 6b x - 6a)\|b x + a atan(----------------) + (6b x + 8a)\|- a
+--R                                        a
+--R    -----------------------------------------------------------------]
+--R                         2        3  +---+ +-------+
+--R                      (3a b x + 3a )\|- a \|b x + a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1762
+
+--S 1763 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                 +-------+              +-+            +-------+
+--R            - 2a\|b x + a  + (b x + 2a)\|a            \|b x + a
+--R        log(-------------------------------) + 2atanh(----------)
+--R                           x                              +-+
+--R                                                         \|a
+--R   (4)  ---------------------------------------------------------
+--R                                   2 +-+
+--R                                  a \|a
+--R                                                    Type: Expression(Integer)
+--E 1763
+
+--S 1764 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1764
+
+--S 1765 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-------+               +---+ +-------+
+--R          +---+      \|b x + a       +-+     \|- a \|b x + a
+--R        2\|- a atanh(----------) - 2\|a atan(----------------)
+--R                         +-+                         a
+--R                        \|a
+--R   (6)  ------------------------------------------------------
+--R                              2 +---+ +-+
+--R                             a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1765
+
+--S 1766 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1766
+
+)clear all
+
+--S 1767 of 3330
+t0000:=1/(x^2*(a+b*x)^(5/2))
+--R 
+--R
+--R                        1
+--R   (1)  ---------------------------------
+--R          2 4         3    2 2  +-------+
+--R        (b x  + 2a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1767
+
+--S 1768 of 3330
+r0000:=2/3/(a*x*(a+b*x)^(3/2))+5*b*atanh(sqrt(a+b*x)/sqrt(a))/a^(7/2)+_
+     10/3/(a^2*x*sqrt(a+b*x))-5*sqrt(a+b*x)/(a^3*x)
+--R 
+--R
+--R   (2)
+--R                                          +-------+
+--R           2 2            +-------+      \|b x + a
+--R       (15b x  + 15a b x)\|b x + a atanh(----------)
+--R                                             +-+
+--R                                            \|a
+--R     + 
+--R             2 2               2  +-+
+--R       (- 15b x  - 20a b x - 3a )\|a
+--R  /
+--R        3   2     4   +-+ +-------+
+--R     (3a b x  + 3a x)\|a \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1768
+
+--S 1769 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                            +-------+              +-+
+--R             2 2            +-------+    2a\|b x + a  + (b x + 2a)\|a
+--R         (15b x  + 15a b x)\|b x + a log(-----------------------------)
+--R                                                       x
+--R       + 
+--R               2 2               2  +-+
+--R         (- 30b x  - 40a b x - 6a )\|a
+--R    /
+--R          3   2     4   +-+ +-------+
+--R       (6a b x  + 6a x)\|a \|b x + a
+--R     ,
+--R
+--R                                           +---+ +-------+
+--R             2 2            +-------+     \|- a \|b x + a
+--R         (15b x  + 15a b x)\|b x + a atan(----------------)
+--R                                                  a
+--R       + 
+--R               2 2               2  +---+
+--R         (- 15b x  - 20a b x - 3a )\|- a
+--R    /
+--R          3   2     4   +---+ +-------+
+--R       (3a b x  + 3a x)\|- a \|b x + a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1769
+
+--S 1770 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                  +-------+              +-+               +-------+
+--R               2a\|b x + a  + (b x + 2a)\|a               \|b x + a
+--R        5b log(-----------------------------) - 10b atanh(----------)
+--R                             x                                +-+
+--R                                                             \|a
+--R   (4)  -------------------------------------------------------------
+--R                                     3 +-+
+--R                                   2a \|a
+--R                                                    Type: Expression(Integer)
+--E 1770
+
+--S 1771 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1771
+
+--S 1772 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-------+                +---+ +-------+
+--R             +---+      \|b x + a        +-+     \|- a \|b x + a
+--R        - 5b\|- a atanh(----------) + 5b\|a atan(----------------)
+--R                            +-+                          a
+--R                           \|a
+--R   (6)  ----------------------------------------------------------
+--R                                3 +---+ +-+
+--R                               a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1772
+
+--S 1773 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1773
+
+)clear all
+
+--S 1774 of 3330
+t0000:=1/(x^3*(a+b*x)^(5/2))
+--R 
+--R
+--R                        1
+--R   (1)  ---------------------------------
+--R          2 5         4    2 3  +-------+
+--R        (b x  + 2a b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1774
+
+--S 1775 of 3330
+r0000:=2/3/(a*x^2*(a+b*x)^(3/2))-_
+     35/4*b^2*atanh(sqrt(a+b*x)/sqrt(a))/a^(9/2)+_
+     14/3/(a^2*x^2*sqrt(a+b*x))-35/6*sqrt(a+b*x)/(a^3*x^2)+_
+     35/4*b*sqrt(a+b*x)/(a^4*x)
+--R 
+--R
+--R   (2)
+--R                                               +-------+
+--R              3 3         2 2  +-------+      \|b x + a
+--R       (- 105b x  - 105a b x )\|b x + a atanh(----------)
+--R                                                  +-+
+--R                                                 \|a
+--R     + 
+--R            3 3         2 2      2        3  +-+
+--R       (105b x  + 140a b x  + 21a b x - 6a )\|a
+--R  /
+--R         4   3      5 2  +-+ +-------+
+--R     (12a b x  + 12a x )\|a \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1775
+
+--S 1776 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                                 +-------+              +-+
+--R              3 3         2 2  +-------+    - 2a\|b x + a  + (b x + 2a)\|a
+--R         (105b x  + 105a b x )\|b x + a log(-------------------------------)
+--R                                                           x
+--R       + 
+--R              3 3         2 2      2         3  +-+
+--R         (210b x  + 280a b x  + 42a b x - 12a )\|a
+--R    /
+--R           4   3      5 2  +-+ +-------+
+--R       (24a b x  + 24a x )\|a \|b x + a
+--R     ,
+--R
+--R                                                +---+ +-------+
+--R                3 3         2 2  +-------+     \|- a \|b x + a
+--R         (- 105b x  - 105a b x )\|b x + a atan(----------------)
+--R                                                       a
+--R       + 
+--R              3 3         2 2      2        3  +---+
+--R         (105b x  + 140a b x  + 21a b x - 6a )\|- a
+--R    /
+--R           4   3      5 2  +---+ +-------+
+--R       (12a b x  + 12a x )\|- a \|b x + a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1776
+
+--S 1777 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                     +-------+              +-+               +-------+
+--R           2    - 2a\|b x + a  + (b x + 2a)\|a        2      \|b x + a
+--R        35b log(-------------------------------) + 70b atanh(----------)
+--R                               x                                 +-+
+--R                                                                \|a
+--R   (4)  ----------------------------------------------------------------
+--R                                       4 +-+
+--R                                     8a \|a
+--R                                                    Type: Expression(Integer)
+--E 1777
+
+--S 1778 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1778
+
+--S 1779 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-------+                  +---+ +-------+
+--R           2 +---+      \|b x + a        2 +-+     \|- a \|b x + a
+--R        35b \|- a atanh(----------) - 35b \|a atan(----------------)
+--R                            +-+                            a
+--R                           \|a
+--R   (6)  ------------------------------------------------------------
+--R                                  4 +---+ +-+
+--R                                4a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1779
+
+--S 1780 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1780
+
+)clear all
+
+--S 1781 of 3330
+t0000:=1/(x*sqrt(-a+b*x))
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R          +-------+
+--R        x\|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1781
+
+--S 1782 of 3330
+r0000:=2*atan(sqrt(-a+b*x)/sqrt(a))/sqrt(a)
+--R 
+--R
+--R               +-------+
+--R              \|b x - a
+--R        2atan(----------)
+--R                  +-+
+--R                 \|a
+--R   (2)  -----------------
+--R                +-+
+--R               \|a
+--R                                                    Type: Expression(Integer)
+--E 1782
+
+--S 1783 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                +-------+              +---+         +-+ +-------+
+--R             2a\|b x - a  + (b x - 2a)\|- a         \|a \|b x - a
+--R         log(-------------------------------) 2atan(--------------)
+--R                            x                              a
+--R   (3)  [------------------------------------,---------------------]
+--R                         +---+                          +-+
+--R                        \|- a                          \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1783
+
+--S 1784 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                   +-------+              +---+                 +-------+
+--R         +-+    2a\|b x - a  + (b x - 2a)\|- a       +---+     \|b x - a
+--R        \|a log(-------------------------------) - 2\|- a atan(----------)
+--R                               x                                   +-+
+--R                                                                  \|a
+--R   (4)  ------------------------------------------------------------------
+--R                                     +---+ +-+
+--R                                    \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1784
+
+--S 1785 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1785
+
+--S 1786 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R               +-+ +-------+           +-------+
+--R              \|a \|b x - a           \|b x - a
+--R        2atan(--------------) - 2atan(----------)
+--R                     a                    +-+
+--R                                         \|a
+--R   (6)  -----------------------------------------
+--R                            +-+
+--R                           \|a
+--R                                                    Type: Expression(Integer)
+--E 1786
+
+--S 1787 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1787
+
+)clear all
+
+--S 1788 of 3330
+t0000:=1/(x^2*sqrt(-a+b*x))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R         2 +-------+
+--R        x \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1788
+
+--S 1789 of 3330
+r0000:=b*atan(sqrt(-a+b*x)/sqrt(a))/a^(3/2)+sqrt(-a+b*x)/(a*x)
+--R 
+--R
+--R                  +-------+
+--R                 \|b x - a      +-+ +-------+
+--R        b x atan(----------) + \|a \|b x - a
+--R                     +-+
+--R                    \|a
+--R   (2)  -------------------------------------
+--R                           +-+
+--R                       a x\|a
+--R                                                    Type: Expression(Integer)
+--E 1789
+
+--S 1790 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R               +-------+              +---+
+--R            2a\|b x - a  + (b x - 2a)\|- a       +---+ +-------+
+--R    b x log(-------------------------------) + 2\|- a \|b x - a
+--R                           x
+--R   [------------------------------------------------------------,
+--R                                  +---+
+--R                             2a x\|- a
+--R              +-+ +-------+
+--R             \|a \|b x - a      +-+ +-------+
+--R    b x atan(--------------) + \|a \|b x - a
+--R                    a
+--R    -----------------------------------------]
+--R                         +-+
+--R                     a x\|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1790
+
+--S 1791 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                    +-------+              +---+                  +-------+
+--R          +-+    2a\|b x - a  + (b x - 2a)\|- a        +---+     \|b x - a
+--R        b\|a log(-------------------------------) - 2b\|- a atan(----------)
+--R                                x                                    +-+
+--R                                                                    \|a
+--R   (4)  --------------------------------------------------------------------
+--R                                       +---+ +-+
+--R                                    2a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1791
+
+--S 1792 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1792
+
+--S 1793 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                +-+ +-------+            +-------+
+--R               \|a \|b x - a            \|b x - a
+--R        b atan(--------------) - b atan(----------)
+--R                      a                     +-+
+--R                                           \|a
+--R   (6)  -------------------------------------------
+--R                             +-+
+--R                           a\|a
+--R                                                    Type: Expression(Integer)
+--E 1793
+
+--S 1794 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1794
+
+)clear all
+
+--S 1795 of 3330
+t0000:=1/(x^3*sqrt(-a+b*x))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R         3 +-------+
+--R        x \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1795
+
+--S 1796 of 3330
+r0000:=3/4*b^2*atan(sqrt(-a+b*x)/sqrt(a))/a^(5/2)+_
+     1/2*sqrt(-a+b*x)/(a*x^2)+3/4*b*sqrt(-a+b*x)/(a^2*x)
+--R 
+--R
+--R                   +-------+
+--R          2 2     \|b x - a                 +-+ +-------+
+--R        3b x atan(----------) + (3b x + 2a)\|a \|b x - a
+--R                      +-+
+--R                     \|a
+--R   (2)  -------------------------------------------------
+--R                              2 2 +-+
+--R                            4a x \|a
+--R                                                    Type: Expression(Integer)
+--E 1796
+
+--S 1797 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                +-------+              +---+
+--R      2 2    2a\|b x - a  + (b x - 2a)\|- a                 +---+ +-------+
+--R    3b x log(-------------------------------) + (6b x + 4a)\|- a \|b x - a
+--R                            x
+--R   [-----------------------------------------------------------------------,
+--R                                    2 2 +---+
+--R                                  8a x \|- a
+--R               +-+ +-------+
+--R      2 2     \|a \|b x - a                 +-+ +-------+
+--R    3b x atan(--------------) + (3b x + 2a)\|a \|b x - a
+--R                     a
+--R    -----------------------------------------------------]
+--R                            2 2 +-+
+--R                          4a x \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1797
+
+--S 1798 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                 +-------+              +---+                   +-------+
+--R     2 +-+    2a\|b x - a  + (b x - 2a)\|- a       2 +---+     \|b x - a
+--R   3b \|a log(-------------------------------) - 6b \|- a atan(----------)
+--R                             x                                     +-+
+--R                                                                  \|a
+--R   -----------------------------------------------------------------------
+--R                                  2 +---+ +-+
+--R                                8a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1798
+
+--S 1799 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1799
+
+--S 1800 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                 +-+ +-------+             +-------+
+--R          2     \|a \|b x - a       2     \|b x - a
+--R        3b atan(--------------) - 3b atan(----------)
+--R                       a                      +-+
+--R                                             \|a
+--R   (6)  ---------------------------------------------
+--R                             2 +-+
+--R                           4a \|a
+--R                                                    Type: Expression(Integer)
+--E 1800
+
+--S 1801 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1801
+
+)clear all
+
+--S 1802 of 3330
+t0000:=1/(x*(-a+b*x)^(3/2))
+--R 
+--R
+--R                   1
+--R   (1)  ----------------------
+--R            2        +-------+
+--R        (b x  - a x)\|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1802
+
+--S 1803 of 3330
+r0000:=-2*atan(sqrt(-a+b*x)/sqrt(a))/a^(3/2)+(-2)/(a*sqrt(-a+b*x))
+--R 
+--R
+--R                           +-------+
+--R            +-------+     \|b x - a       +-+
+--R        - 2\|b x - a atan(----------) - 2\|a
+--R                              +-+
+--R                             \|a
+--R   (2)  -------------------------------------
+--R                     +-+ +-------+
+--R                   a\|a \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1803
+
+--S 1804 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                       +-------+              +---+
+--R     +-------+    - 2a\|b x - a  + (b x - 2a)\|- a       +---+
+--R    \|b x - a log(---------------------------------) - 2\|- a
+--R                                  x
+--R   [----------------------------------------------------------,
+--R                           +---+ +-------+
+--R                         a\|- a \|b x - a
+--R                       +-+ +-------+
+--R        +-------+     \|a \|b x - a       +-+
+--R    - 2\|b x - a atan(--------------) - 2\|a
+--R                             a
+--R    -----------------------------------------]
+--R                   +-+ +-------+
+--R                 a\|a \|b x - a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1804
+
+--S 1805 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                     +-------+              +---+                 +-------+
+--R         +-+    - 2a\|b x - a  + (b x - 2a)\|- a       +---+     \|b x - a
+--R        \|a log(---------------------------------) + 2\|- a atan(----------)
+--R                                x                                    +-+
+--R                                                                    \|a
+--R   (4)  --------------------------------------------------------------------
+--R                                       +---+ +-+
+--R                                     a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1805
+
+--S 1806 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1806
+
+--S 1807 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                 +-+ +-------+           +-------+
+--R                \|a \|b x - a           \|b x - a
+--R        - 2atan(--------------) + 2atan(----------)
+--R                       a                    +-+
+--R                                           \|a
+--R   (6)  -------------------------------------------
+--R                             +-+
+--R                           a\|a
+--R                                                    Type: Expression(Integer)
+--E 1807
+
+--S 1808 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1808
+
+)clear all
+
+--S 1809 of 3330
+t0000:=1/(x^2*(-a+b*x)^(3/2))
+--R 
+--R
+--R                   1
+--R   (1)  -----------------------
+--R            3      2  +-------+
+--R        (b x  - a x )\|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1809
+
+--S 1810 of 3330
+r0000:=-3*b*atan(sqrt(-a+b*x)/sqrt(a))/a^(5/2)+(-2)/(a*x*sqrt(-a+b*x))-_
+     3*sqrt(-a+b*x)/(a^2*x)
+--R 
+--R
+--R                              +-------+
+--R               +-------+     \|b x - a                  +-+
+--R        - 3b x\|b x - a atan(----------) + (- 3b x + a)\|a
+--R                                 +-+
+--R                                \|a
+--R   (2)  ---------------------------------------------------
+--R                          2  +-+ +-------+
+--R                         a x\|a \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1810
+
+--S 1811 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                           +-------+              +---+
+--R         +-------+    - 2a\|b x - a  + (b x - 2a)\|- a                   +---+
+--R    3b x\|b x - a log(---------------------------------) + (- 6b x + 2a)\|- a
+--R                                      x
+--R   [--------------------------------------------------------------------------,
+--R                                 2  +---+ +-------+
+--R                               2a x\|- a \|b x - a
+--R                          +-+ +-------+
+--R           +-------+     \|a \|b x - a                  +-+
+--R    - 3b x\|b x - a atan(--------------) + (- 3b x + a)\|a
+--R                                a
+--R    -------------------------------------------------------]
+--R                        2  +-+ +-------+
+--R                       a x\|a \|b x - a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1811
+
+--S 1812 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                  +-------+              +---+                  +-------+
+--R      +-+    - 2a\|b x - a  + (b x - 2a)\|- a        +---+     \|b x - a
+--R   3b\|a log(---------------------------------) + 6b\|- a atan(----------)
+--R                             x                                     +-+
+--R                                                                  \|a
+--R   -----------------------------------------------------------------------
+--R                                  2 +---+ +-+
+--R                                2a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1812
+
+--S 1813 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1813
+
+--S 1814 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                   +-+ +-------+             +-------+
+--R                  \|a \|b x - a             \|b x - a
+--R        - 3b atan(--------------) + 3b atan(----------)
+--R                         a                      +-+
+--R                                               \|a
+--R   (6)  -----------------------------------------------
+--R                              2 +-+
+--R                             a \|a
+--R                                                    Type: Expression(Integer)
+--E 1814
+
+--S 1815 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1815
+
+)clear all
+
+--S 1816 of 3330
+t0000:=1/(x^3*(-a+b*x)^(3/2))
+--R 
+--R
+--R                   1
+--R   (1)  -----------------------
+--R            4      3  +-------+
+--R        (b x  - a x )\|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1816
+
+--S 1817 of 3330
+r0000:=-15/4*b^2*atan(sqrt(-a+b*x)/sqrt(a))/a^(7/2)+_
+     (-2)/(a*x^2*sqrt(-a+b*x))-5/2*sqrt(-a+b*x)/(a^2*x^2)-_
+     15/4*b*sqrt(-a+b*x)/(a^3*x)
+--R 
+--R
+--R                                +-------+
+--R             2 2 +-------+     \|b x - a           2 2              2  +-+
+--R        - 15b x \|b x - a atan(----------) + (- 15b x  + 5a b x + 2a )\|a
+--R                                   +-+
+--R                                  \|a
+--R   (2)  ------------------------------------------------------------------
+--R                                  3 2 +-+ +-------+
+--R                                4a x \|a \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1817
+
+--S 1818 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                  +-------+              +---+
+--R            2 2 +-------+    - 2a\|b x - a  + (b x - 2a)\|- a
+--R         15b x \|b x - a log(---------------------------------)
+--R                                             x
+--R       + 
+--R               2 2               2  +---+
+--R         (- 30b x  + 10a b x + 4a )\|- a
+--R    /
+--R         3 2 +---+ +-------+
+--R       8a x \|- a \|b x - a
+--R     ,
+--R                            +-+ +-------+
+--R         2 2 +-------+     \|a \|b x - a           2 2              2  +-+
+--R    - 15b x \|b x - a atan(--------------) + (- 15b x  + 5a b x + 2a )\|a
+--R                                  a
+--R    ----------------------------------------------------------------------]
+--R                                3 2 +-+ +-------+
+--R                              4a x \|a \|b x - a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1818
+
+--S 1819 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                    +-------+              +---+                    +-------+
+--R      2 +-+    - 2a\|b x - a  + (b x - 2a)\|- a        2 +---+     \|b x - a
+--R   15b \|a log(---------------------------------) + 30b \|- a atan(----------)
+--R                               x                                       +-+
+--R                                                                      \|a
+--R   ---------------------------------------------------------------------------
+--R                                    3 +---+ +-+
+--R                                  8a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1819
+
+--S 1820 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1820
+
+--S 1821 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                    +-+ +-------+              +-------+
+--R             2     \|a \|b x - a        2     \|b x - a
+--R        - 15b atan(--------------) + 15b atan(----------)
+--R                          a                       +-+
+--R                                                 \|a
+--R   (6)  -------------------------------------------------
+--R                               3 +-+
+--R                             4a \|a
+--R                                                    Type: Expression(Integer)
+--E 1821
+
+--S 1822 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1822
+
+)clear all
+
+--S 1823 of 3330
+t0000:=1/(x*(-a+b*x)^(5/2))
+--R 
+--R
+--R                        1
+--R   (1)  --------------------------------
+--R          2 3         2    2   +-------+
+--R        (b x  - 2a b x  + a x)\|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1823
+
+--S 1824 of 3330
+r0000:=(-2/3)/(a*(-a+b*x)^(3/2))+2*atan(sqrt(-a+b*x)/sqrt(a))/a^(5/2)+_
+     2/(a^2*sqrt(-a+b*x))
+--R 
+--R
+--R                                   +-------+
+--R                    +-------+     \|b x - a                 +-+
+--R        (6b x - 6a)\|b x - a atan(----------) + (6b x - 8a)\|a
+--R                                      +-+
+--R                                     \|a
+--R   (2)  -------------------------------------------------------
+--R                         2        3  +-+ +-------+
+--R                      (3a b x - 3a )\|a \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1824
+
+--S 1825 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                     +-------+              +---+
+--R                     +-------+    2a\|b x - a  + (b x - 2a)\|- a
+--R         (3b x - 3a)\|b x - a log(-------------------------------)
+--R                                                 x
+--R       + 
+--R                     +---+
+--R         (6b x - 8a)\|- a
+--R    /
+--R          2        3  +---+ +-------+
+--R       (3a b x - 3a )\|- a \|b x - a
+--R     ,
+--R                               +-+ +-------+
+--R                +-------+     \|a \|b x - a                 +-+
+--R    (6b x - 6a)\|b x - a atan(--------------) + (6b x - 8a)\|a
+--R                                     a
+--R    -----------------------------------------------------------]
+--R                       2        3  +-+ +-------+
+--R                    (3a b x - 3a )\|a \|b x - a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1825
+
+--S 1826 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                   +-------+              +---+                 +-------+
+--R         +-+    2a\|b x - a  + (b x - 2a)\|- a       +---+     \|b x - a
+--R        \|a log(-------------------------------) - 2\|- a atan(----------)
+--R                               x                                   +-+
+--R                                                                  \|a
+--R   (4)  ------------------------------------------------------------------
+--R                                    2 +---+ +-+
+--R                                   a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1826
+
+--S 1827 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1827
+
+--S 1828 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R               +-+ +-------+           +-------+
+--R              \|a \|b x - a           \|b x - a
+--R        2atan(--------------) - 2atan(----------)
+--R                     a                    +-+
+--R                                         \|a
+--R   (6)  -----------------------------------------
+--R                           2 +-+
+--R                          a \|a
+--R                                                    Type: Expression(Integer)
+--E 1828
+
+--S 1829 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1829
+
+)clear all
+
+--S 1830 of 3330
+t0000:=1/(x^2*(-a+b*x)^(5/2))
+--R 
+--R
+--R                        1
+--R   (1)  ---------------------------------
+--R          2 4         3    2 2  +-------+
+--R        (b x  - 2a b x  + a x )\|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1830
+
+--S 1831 of 3330
+r0000:=(-2/3)/(a*x*(-a+b*x)^(3/2))+5*b*atan(sqrt(-a+b*x)/sqrt(a))/a^(7/2)+_
+     10/3/(a^2*x*sqrt(-a+b*x))+5*sqrt(-a+b*x)/(a^3*x)
+--R 
+--R
+--R   (2)
+--R                                     +-------+
+--R       2 2            +-------+     \|b x - a         2 2               2  +-+
+--R   (15b x  - 15a b x)\|b x - a atan(----------) + (15b x  - 20a b x + 3a )\|a
+--R                                        +-+
+--R                                       \|a
+--R   ---------------------------------------------------------------------------
+--R                             3   2     4   +-+ +-------+
+--R                          (3a b x  - 3a x)\|a \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1831
+
+--S 1832 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                            +-------+              +---+
+--R             2 2            +-------+    2a\|b x - a  + (b x - 2a)\|- a
+--R         (15b x  - 15a b x)\|b x - a log(-------------------------------)
+--R                                                        x
+--R       + 
+--R             2 2               2  +---+
+--R         (30b x  - 40a b x + 6a )\|- a
+--R    /
+--R          3   2     4   +---+ +-------+
+--R       (6a b x  - 6a x)\|- a \|b x - a
+--R     ,
+--R
+--R                                           +-+ +-------+
+--R             2 2            +-------+     \|a \|b x - a
+--R         (15b x  - 15a b x)\|b x - a atan(--------------)
+--R                                                 a
+--R       + 
+--R             2 2               2  +-+
+--R         (15b x  - 20a b x + 3a )\|a
+--R    /
+--R          3   2     4   +-+ +-------+
+--R       (3a b x  - 3a x)\|a \|b x - a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1832
+
+--S 1833 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                     +-------+              +---+                   +-------+
+--R           +-+    2a\|b x - a  + (b x - 2a)\|- a         +---+     \|b x - a
+--R        5b\|a log(-------------------------------) - 10b\|- a atan(----------)
+--R                                 x                                     +-+
+--R                                                                      \|a
+--R   (4)  ----------------------------------------------------------------------
+--R                                       3 +---+ +-+
+--R                                     2a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1833
+
+--S 1834 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1834
+
+--S 1835 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                 +-+ +-------+             +-------+
+--R                \|a \|b x - a             \|b x - a
+--R        5b atan(--------------) - 5b atan(----------)
+--R                       a                      +-+
+--R                                             \|a
+--R   (6)  ---------------------------------------------
+--R                             3 +-+
+--R                            a \|a
+--R                                                    Type: Expression(Integer)
+--E 1835
+
+--S 1836 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1836
+
+)clear all
+
+--S 1837 of 3330
+t0000:=1/(x^3*(-a+b*x)^(5/2))
+--R 
+--R
+--R                        1
+--R   (1)  ---------------------------------
+--R          2 5         4    2 3  +-------+
+--R        (b x  - 2a b x  + a x )\|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1837
+
+--S 1838 of 3330
+r0000:=(-2/3)/(a*x^2*(-a+b*x)^(3/2))+_
+     35/4*b^2*atan(sqrt(-a+b*x)/sqrt(a))/a^(9/2)+_
+     14/3/(a^2*x^2*sqrt(-a+b*x))+35/6*sqrt(-a+b*x)/(a^3*x^2)+_
+     35/4*b*sqrt(-a+b*x)/(a^4*x)
+--R 
+--R
+--R   (2)
+--R                                            +-------+
+--R            3 3         2 2  +-------+     \|b x - a
+--R       (105b x  - 105a b x )\|b x - a atan(----------)
+--R                                               +-+
+--R                                              \|a
+--R     + 
+--R            3 3         2 2      2        3  +-+
+--R       (105b x  - 140a b x  + 21a b x + 6a )\|a
+--R  /
+--R         4   3      5 2  +-+ +-------+
+--R     (12a b x  - 12a x )\|a \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 1838
+
+--S 1839 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                               +-------+              +---+
+--R              3 3         2 2  +-------+    2a\|b x - a  + (b x - 2a)\|- a
+--R         (105b x  - 105a b x )\|b x - a log(-------------------------------)
+--R                                                           x
+--R       + 
+--R              3 3         2 2      2         3  +---+
+--R         (210b x  - 280a b x  + 42a b x + 12a )\|- a
+--R    /
+--R           4   3      5 2  +---+ +-------+
+--R       (24a b x  - 24a x )\|- a \|b x - a
+--R     ,
+--R
+--R                                              +-+ +-------+
+--R              3 3         2 2  +-------+     \|a \|b x - a
+--R         (105b x  - 105a b x )\|b x - a atan(--------------)
+--R                                                    a
+--R       + 
+--R              3 3         2 2      2        3  +-+
+--R         (105b x  - 140a b x  + 21a b x + 6a )\|a
+--R    /
+--R           4   3      5 2  +-+ +-------+
+--R       (12a b x  - 12a x )\|a \|b x - a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1839
+
+--S 1840 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R   (4)
+--R                  +-------+              +---+                    +-------+
+--R      2 +-+    2a\|b x - a  + (b x - 2a)\|- a        2 +---+     \|b x - a
+--R   35b \|a log(-------------------------------) - 70b \|- a atan(----------)
+--R                              x                                      +-+
+--R                                                                    \|a
+--R   -------------------------------------------------------------------------
+--R                                   4 +---+ +-+
+--R                                 8a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1840
+
+--S 1841 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1841
+
+--S 1842 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                  +-+ +-------+              +-------+
+--R           2     \|a \|b x - a        2     \|b x - a
+--R        35b atan(--------------) - 35b atan(----------)
+--R                        a                       +-+
+--R                                               \|a
+--R   (6)  -----------------------------------------------
+--R                              4 +-+
+--R                            4a \|a
+--R                                                    Type: Expression(Integer)
+--E 1842
+
+--S 1843 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1843
+
+)clear all
+
+--S 1844 of 3330
+t0000:=x^(3+m)/sqrt(a+b*x)
+--R 
+--R
+--R           m + 3
+--R          x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1844
+
+--S 1845 of 3330
+--r0000:=8*a^2*(2+m)*(3+m)*x^(1+m)*sqrt(a+b*x)/(b^3*(3+2*m)*(5+2*m)*(7+2*m))-_
+--       4*a*(3+m)*x^(2+m)*sqrt(a+b*x)/(b^2*(5+2*m)*(7+2*m))+_
+--       2*x^(3+m)*sqrt(a+b*x)/(b*(7+2*m))-16*a^3*(1+m)*(2+m)*(3+m)*x^m*_
+--       hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/_
+--       (b^4*(3+2*m)*(5+2*m)*(7+2*m)*(-b*x/a)^m)
+--E 1845
+
+--S 1846 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x     m + 3
+--R         ++    %N
+--R   (2)   |   ----------- d%N
+--R        ++    +--------+
+--R             \|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1846
+
+--S 1847 of 3330
+--m0000:=a0000 - r0000
+--E 1847
+
+--S 1848 of 3330
+--d0000:=D(m0000,x)
+--E 1848
+
+)clear all
+
+--S 1849 of 3330
+t0000:=x^(2+m)/sqrt(a+b*x)
+--R 
+--R
+--R           m + 2
+--R          x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1849
+
+--S 1850 of 3330
+--r0000:=-4*a*(2+m)*x^(1+m)*sqrt(a+b*x)/(b^2*(3+2*m)*(5+2*m))+_
+--       2*x^(2+m)*sqrt(a+b*x)/(b*(5+2*m))+8*a^2*(1+m)*(2+m)*x^m*_
+--       hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/_
+--       (b^3*(3+2*m)*(5+2*m)*(-b*x/a)^m)
+--E 1850
+
+--S 1851 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x     m + 2
+--R         ++    %N
+--R   (2)   |   ----------- d%N
+--R        ++    +--------+
+--R             \|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1851
+
+--S 1852 of 3330
+--m0000:=a0000 - r0000
+--E 1852
+
+--S 1853 of 3330
+--d0000:=D(m0000,x)
+--E 1853
+
+)clear all
+
+--S 1854 of 3330
+t0000:=x^(1+m)/sqrt(a+b*x)
+--R 
+--R
+--R           m + 1
+--R          x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1854
+
+--S 1855 of 3330
+--r0000:=2*x^(1+m)*sqrt(a+b*x)/(b*(3+2*m))-4*a*(1+m)*x^m*_
+--       hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/_
+--       (b^2*(3+2*m)*(-b*x/a)^m)
+--E 1855
+
+--S 1856 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x     m + 1
+--R         ++    %N
+--R   (2)   |   ----------- d%N
+--R        ++    +--------+
+--R             \|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1856
+
+--S 1857 of 3330
+--m0000:=a0000 - r0000
+--E 1857
+
+--S 1858 of 3330
+--d0000:=D(m0000,x)
+--E 1858
+
+)clear all
+
+--S 1859 of 3330
+t0000:=x^m/sqrt(a+b*x)
+--R 
+--R
+--R             m
+--R            x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1859
+
+--S 1860 of 3330
+--r0000:=2*x^m*hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/(b*(-b*x/a)^m)
+--E 1860
+
+--S 1861 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x       m
+--R         ++      %N
+--R   (2)   |   ----------- d%N
+--R        ++    +--------+
+--R             \|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1861
+
+--S 1862 of 3330
+--m0000:=a0000 - r0000
+--E 1862
+
+--S 1863 of 3330
+--d0000:=D(m0000,x)
+--E 1863
+
+)clear all
+
+--S 1864 of 3330
+t0000:=x^(-1+m)/sqrt(a+b*x)
+--R 
+--R
+--R           m - 1
+--R          x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1864
+
+--S 1865 of 3330
+--r0000:=x^m*sqrt(a+b*x)/(a*m)-(1+2*m)*x^m*_
+--       hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/(a*m*(-b*x/a)^m)
+--E 1865
+
+--S 1866 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x     m - 1
+--R         ++    %N
+--R   (2)   |   ----------- d%N
+--R        ++    +--------+
+--R             \|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1866
+
+--S 1867 of 3330
+--m0000:=a0000 - r0000
+--E 1867
+
+--S 1868 of 3330
+--d0000:=D(m0000,x)
+--E 1868
+
+)clear all
+
+--S 1869 of 3330
+t0000:=x^(-2+m)/sqrt(a+b*x)
+--R 
+--R
+--R           m - 2
+--R          x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1869
+
+--S 1870 of 3330
+--r0000:=-x^(-1+m)*sqrt(a+b*x)/(a*(1-m))-1/2*b*(1-2*m)*x^m*_
+--       sqrt(a+b*x)/(a^2*(1-m)*m)+1/2*b*(1-2*m)*(1+2*m)*x^m*_
+--       hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/_
+--       (a^2*(1-m)*m*(-b*x/a)^m)
+--E 1870
+
+--S 1871 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x     m - 2
+--R         ++    %N
+--R   (2)   |   ----------- d%N
+--R        ++    +--------+
+--R             \|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1871
+
+--S 1872 of 3330
+--m0000:=a0000 - r0000
+--E 1872
+
+--S 1873 of 3330
+--d0000:=D(m0000,x)
+--E 1873
+
+)clear all
+
+--S 1874 of 3330
+t0000:=x^(-3+m)/sqrt(a+b*x)
+--R 
+--R
+--R           m - 3
+--R          x
+--R   (1)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1874
+
+--S 1875 of 3330
+--r0000:=-x^(-2+m)*sqrt(a+b*x)/(a*(2-m))+1/2*b*(3-2*m)*x^(-1+m)*_
+--       sqrt(a+b*x)/(a^2*(1-m)*(2-m))+1/4*b^2*(1-2*m)*(3-2*m)*x^m*_
+--       sqrt(a+b*x)/(a^3*(1-m)*(2-m)*m)-1/4*b^2*(1-2*m)*(3-2*m)*(1+2*m)*x^m*_
+--       hypergeometric(1/2,-m,3/2,(a+b*x)/a)*sqrt(a+b*x)/_
+--       (a^3*(1-m)*(2-m)*m*(-b*x/a)^m)
+--E 1875
+
+--S 1876 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           x     m - 3
+--R         ++    %N
+--R   (2)   |   ----------- d%N
+--R        ++    +--------+
+--R             \|%N b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1876
+
+--S 1877 of 3330
+--m0000:=a0000 - r0000
+--E 1877
+
+--S 1878 of 3330
+--d0000:=D(m0000,x)
+--E 1878
+
+)clear all
+
+--S 1879 of 3330
+t0000:=1/2*x^(-1+m)*(2*a*m+b*(-1+2*m)*x)/(a+b*x)^(3/2)
+--R 
+--R
+--R                             m - 1
+--R        ((2b m - b)x + 2a m)x
+--R   (1)  --------------------------
+--R                       +-------+
+--R           (2b x + 2a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1879
+
+--S 1880 of 3330
+r0000:=x^m/sqrt(a+b*x)
+--R 
+--R
+--R             m
+--R            x
+--R   (2)  ----------
+--R         +-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1880
+
+--S 1881 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            (m - 1)log(x)
+--R        x %e
+--R   (3)  -----------------
+--R             +-------+
+--R            \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1881
+
+--S 1882 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            (m - 1)log(x)    m
+--R        x %e              - x
+--R   (4)  ----------------------
+--R               +-------+
+--R              \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1882
+
+--S 1883 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R                              (m - 1)log(x)      m                     m - 1
+--R        ((2b m - b)x + 2a m)%e              + b x  + (- 2b m x - 2a m)x
+--R   (5)  --------------------------------------------------------------------
+--R                                            +-------+
+--R                                (2b x + 2a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1883
+
+)clear all
+
+--S 1884 of 3330
+t0000:=-1/2*b*x^m/(a+b*x)^(3/2)+m*x^(-1+m)/sqrt(a+b*x)
+--R 
+--R
+--R             m                   m - 1
+--R        - b x  + (2b m x + 2a m)x
+--R   (1)  ------------------------------
+--R                         +-------+
+--R             (2b x + 2a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1884
+
+--S 1885 of 3330
+r0000:=x^m/sqrt(a+b*x),-b*x^(1+m)/(a*sqrt(a+b*x))+x^m*sqrt(a+b*x)/a
+--R 
+--R
+--R              m          m + 1             m
+--R             x      - b x      + (b x + a)x
+--R   (2)  [----------,------------------------]
+--R          +-------+          +-------+
+--R         \|b x + a         a\|b x + a
+--R                                             Type: Tuple(Expression(Integer))
+--E 1885
+
+--S 1886 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            (m - 1)log(x)
+--R        x %e
+--R   (3)  -----------------
+--R             +-------+
+--R            \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1886
+
+--S 1887 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R            (m - 1)log(x)    m
+--R        x %e              - x
+--R   (4)  ----------------------
+--R               +-------+
+--R              \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1887
+
+--S 1888 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R                              (m - 1)log(x)      m                     m - 1
+--R        ((2b m - b)x + 2a m)%e              + b x  + (- 2b m x - 2a m)x
+--R   (5)  --------------------------------------------------------------------
+--R                                            +-------+
+--R                                (2b x + 2a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1888
+
+)clear all
+
+--S 1889 of 3330
+t0000:=x^(1/2*(1-n)+1/2*(-3+n))/sqrt(a+b*x)
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R          +-------+
+--R        x\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1889
+
+--S 1890 of 3330
+r0000:=-2*atanh(sqrt(a+b*x)/sqrt(a))/sqrt(a)
+--R 
+--R
+--R                  +-------+
+--R                 \|b x + a
+--R          2atanh(----------)
+--R                     +-+
+--R                    \|a
+--R   (2)  - ------------------
+--R                  +-+
+--R                 \|a
+--R                                                    Type: Expression(Integer)
+--E 1890
+
+--S 1891 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                  +-------+              +-+           +---+ +-------+
+--R             - 2a\|b x + a  + (b x + 2a)\|a           \|- a \|b x + a
+--R         log(-------------------------------)   2atan(----------------)
+--R                            x                                 a
+--R   (3)  [------------------------------------,- -----------------------]
+--R                          +-+                             +---+
+--R                         \|a                             \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 1891
+
+--S 1892 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                 +-------+              +-+            +-------+
+--R            - 2a\|b x + a  + (b x + 2a)\|a            \|b x + a
+--R        log(-------------------------------) + 2atanh(----------)
+--R                           x                              +-+
+--R                                                         \|a
+--R   (4)  ---------------------------------------------------------
+--R                                    +-+
+--R                                   \|a
+--R                                                    Type: Expression(Integer)
+--E 1892
+
+--S 1893 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1893
+
+--S 1894 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-------+               +---+ +-------+
+--R          +---+      \|b x + a       +-+     \|- a \|b x + a
+--R        2\|- a atanh(----------) - 2\|a atan(----------------)
+--R                         +-+                         a
+--R                        \|a
+--R   (6)  ------------------------------------------------------
+--R                               +---+ +-+
+--R                              \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1894
+
+--S 1895 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 1895
+
+)clear all
+
+--S 1896 of 3330
+t0000:=x^3*(a+b*x)^(1/3)
+--R 
+--R
+--R         3 3+-------+
+--R   (1)  x  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1896
+
+--S 1897 of 3330
+r0000:=-3/4*a^3*(a+b*x)^(4/3)/b^4+9/7*a^2*(a+b*x)^(7/3)/b^4-_
+     9/10*a*(a+b*x)^(10/3)/b^4+3/13*(a+b*x)^(13/3)/b^4
+--R 
+--R
+--R             4 4        3 3      2 2 2      3          4 3+-------+
+--R        (420b x  + 42a b x  - 54a b x  + 81a b x - 243a )\|b x + a
+--R   (2)  -----------------------------------------------------------
+--R                                        4
+--R                                   1820b
+--R                                                    Type: Expression(Integer)
+--E 1897
+
+--S 1898 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             4 4        3 3      2 2 2      3          4 3+-------+
+--R        (420b x  + 42a b x  - 54a b x  + 81a b x - 243a )\|b x + a
+--R   (3)  -----------------------------------------------------------
+--R                                        4
+--R                                   1820b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1898
+
+--S 1899 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1899
+
+--S 1900 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1900
+
+)clear all
+
+--S 1901 of 3330
+t0000:=x^2*(a+b*x)^(1/3)
+--R 
+--R
+--R         2 3+-------+
+--R   (1)  x  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1901
+
+--S 1902 of 3330
+r0000:=3/4*a^2*(a+b*x)^(4/3)/b^3-6/7*a*(a+b*x)^(7/3)/b^3+_
+     3/10*(a+b*x)^(10/3)/b^3
+--R 
+--R
+--R            3 3       2 2     2         3 3+-------+
+--R        (42b x  + 6a b x  - 9a b x + 27a )\|b x + a
+--R   (2)  --------------------------------------------
+--R                                3
+--R                            140b
+--R                                                    Type: Expression(Integer)
+--E 1902
+
+--S 1903 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 3       2 2     2         3 3+-------+
+--R        (42b x  + 6a b x  - 9a b x + 27a )\|b x + a
+--R   (3)  --------------------------------------------
+--R                                3
+--R                            140b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1903
+
+--S 1904 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1904
+
+--S 1905 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1905
+
+)clear all
+
+--S 1906 of 3330
+t0000:=x*(a+b*x)^(1/3)
+--R 
+--R
+--R         3+-------+
+--R   (1)  x\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1906
+
+--S 1907 of 3330
+r0000:=-3/4*a*(a+b*x)^(4/3)/b^2+3/7*(a+b*x)^(7/3)/b^2
+--R 
+--R
+--R            2 2              2 3+-------+
+--R        (12b x  + 3a b x - 9a )\|b x + a
+--R   (2)  ---------------------------------
+--R                          2
+--R                       28b
+--R                                                    Type: Expression(Integer)
+--E 1907
+
+--S 1908 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 2              2 3+-------+
+--R        (12b x  + 3a b x - 9a )\|b x + a
+--R   (3)  ---------------------------------
+--R                          2
+--R                       28b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1908
+
+--S 1909 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1909
+
+--S 1910 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1910
+
+)clear all
+
+--S 1911 of 3330
+t0000:=(a+b*x)^(1/3)
+--R 
+--R
+--R        3+-------+
+--R   (1)  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1911
+
+--S 1912 of 3330
+r0000:=3/4*(a+b*x)^(4/3)/b
+--R 
+--R
+--R                   3+-------+
+--R        (3b x + 3a)\|b x + a
+--R   (2)  ---------------------
+--R                  4b
+--R                                                    Type: Expression(Integer)
+--E 1912
+
+--S 1913 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                   3+-------+
+--R        (3b x + 3a)\|b x + a
+--R   (3)  ---------------------
+--R                  4b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1913
+
+--S 1914 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1914
+
+--S 1915 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1915
+
+)clear all
+
+--S 1916 of 3330
+t0000:=(a+b*x)^(1/3)/x
+--R 
+--R
+--R        3+-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R             x
+--R                                                    Type: Expression(Integer)
+--E 1916
+
+--S 1917 of 3330
+r0000:=3*(a+b*x)^(1/3)+a^(1/3)*log(a^(1/3)-(a+b*x)^(1/3))-_
+     1/2*a^(1/3)*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))-_
+     a^(1/3)*atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))*sqrt(3)
+--R 
+--R
+--R   (2)
+--R         3+-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - \|a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                      3+-------+   3+-+
+--R        3+-+      3+-------+   3+-+      +-+3+-+     2\|b x + a  + \|a
+--R       2\|a log(- \|b x + a  + \|a ) - 2\|3 \|a atan(------------------)
+--R                                                           +-+3+-+
+--R                                                          \|3 \|a
+--R     + 
+--R        3+-------+
+--R       6\|b x + a
+--R  /
+--R     2
+--R                                                    Type: Expression(Integer)
+--E 1917
+
+--S 1918 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R         3+-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - \|a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                    3+-------+   3+-+
+--R        3+-+    3+-------+   3+-+      +-+3+-+     2\|b x + a  + \|a
+--R       2\|a log(\|b x + a  - \|a ) - 2\|3 \|a atan(------------------)
+--R                                                         +-+3+-+
+--R                                                        \|3 \|a
+--R     + 
+--R        3+-------+
+--R       6\|b x + a
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 1918
+
+--S 1919 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R        3+-+    3+-------+   3+-+    3+-+      3+-------+   3+-+
+--R   (4)  \|a log(\|b x + a  - \|a ) - \|a log(- \|b x + a  + \|a )
+--R                                                    Type: Expression(Integer)
+--E 1919
+
+--S 1920 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1920
+
+)clear all
+
+--S 1921 of 3330
+t0000:=(a+b*x)^(1/3)/x^2
+--R 
+--R
+--R        3+-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R             2
+--R            x
+--R                                                    Type: Expression(Integer)
+--E 1921
+
+--S 1922 of 3330
+r0000:=-(a+b*x)^(1/3)/x+1/3*b*log(a^(1/3)-(a+b*x)^(1/3))/a^(2/3)-_
+     1/6*b*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(2/3)-_
+     b*atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/(a^(2/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R             +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - b x\|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                     3+-------+   3+-+
+--R            +-+      3+-------+   3+-+              2\|b x + a  + \|a
+--R       2b x\|3 log(- \|b x + a  + \|a ) - 6b x atan(------------------)
+--R                                                          +-+3+-+
+--R                                                         \|3 \|a
+--R     + 
+--R           +-+3+-+2 3+-------+
+--R       - 6\|3 \|a   \|b x + a
+--R  /
+--R        +-+3+-+2
+--R     6x\|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 1922
+
+--S 1923 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                     +--+2                +--+
+--R             +-+    3| 2   3+-------+2   3| 2 3+-------+    2
+--R       - b x\|3 log(\|a    \|b x + a  + a\|a  \|b x + a  + a )
+--R     + 
+--R                    +--+
+--R            +-+    3| 2 3+-------+
+--R       2b x\|3 log(\|a  \|b x + a  - a)
+--R     + 
+--R                         +--+
+--R                     +-+3| 2 3+-------+     +-+          +--+
+--R                   2\|3 \|a  \|b x + a  + a\|3       +-+3| 2 3+-------+
+--R       - 6b x atan(----------------------------) - 6\|3 \|a  \|b x + a
+--R                                3a
+--R  /
+--R            +--+
+--R        +-+3| 2
+--R     6x\|3 \|a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1923
+
+--S 1924 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                        +--+2                +--+
+--R           +-+3+-+2    3| 2   3+-------+2   3| 2 3+-------+    2
+--R       - b\|3 \|a  log(\|a    \|b x + a  + a\|a  \|b x + a  + a )
+--R     + 
+--R             +--+
+--R         +-+3| 2     3+-------+2   3+-+3+-------+   3+-+2
+--R       b\|3 \|a  log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                       +--+                         +--+
+--R          +-+3+-+2    3| 2 3+-------+           +-+3| 2       3+-------+   3+-+
+--R       2b\|3 \|a  log(\|a  \|b x + a  - a) - 2b\|3 \|a  log(- \|b x + a  + \|a )
+--R     + 
+--R                            +--+
+--R                        +-+3| 2 3+-------+     +-+
+--R            3+-+2     2\|3 \|a  \|b x + a  + a\|3
+--R       - 6b \|a  atan(----------------------------)
+--R                                   3a
+--R     + 
+--R          +--+      3+-------+   3+-+
+--R         3| 2      2\|b x + a  + \|a
+--R       6b\|a  atan(------------------)
+--R                         +-+3+-+
+--R                        \|3 \|a
+--R  /
+--R                 +--+
+--R       +-+3+-+2 3| 2
+--R     6\|3 \|a   \|a
+--R                                                    Type: Expression(Integer)
+--E 1924
+
+--S 1925 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1925
+
+)clear all
+
+--S 1926 of 3330
+t0000:=(a+b*x)^(1/3)/x^3
+--R 
+--R
+--R        3+-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R             3
+--R            x
+--R                                                    Type: Expression(Integer)
+--E 1926
+
+--S 1927 of 3330
+r0000:=-1/2*(a+b*x)^(1/3)/x^2-1/6*b*(a+b*x)^(1/3)/(a*x)-_
+     1/9*b^2*log(a^(1/3)-(a+b*x)^(1/3))/a^(5/3)+_
+     1/18*b^2*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+_
+     (a+b*x)^(2/3))/a^(5/3)+1/3*b^2*_
+     atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/(a^(5/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R        2 2 +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       b x \|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                        3+-------+   3+-+
+--R           2 2 +-+      3+-------+   3+-+      2 2     2\|b x + a  + \|a
+--R       - 2b x \|3 log(- \|b x + a  + \|a ) + 6b x atan(------------------)
+--R                                                             +-+3+-+
+--R                                                            \|3 \|a
+--R     + 
+--R                     +-+3+-+2 3+-------+
+--R       (- 3b x - 9a)\|3 \|a   \|b x + a
+--R  /
+--R          2 +-+3+-+2
+--R     18a x \|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 1927
+
+--S 1928 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                      +----+2                +----+
+--R          2 2 +-+    3|   2   3+-------+2   3|   2 3+-------+    2
+--R       - b x \|3 log(\|- a    \|b x + a  - a\|- a  \|b x + a  + a )
+--R     + 
+--R                     +----+
+--R         2 2 +-+    3|   2 3+-------+
+--R       2b x \|3 log(\|- a  \|b x + a  + a)
+--R     + 
+--R                       +----+
+--R                   +-+3|   2 3+-------+     +-+
+--R         2 2     2\|3 \|- a  \|b x + a  - a\|3
+--R       6b x atan(------------------------------)
+--R                               3a
+--R     + 
+--R                         +----+
+--R                     +-+3|   2 3+-------+
+--R       (- 3b x - 9a)\|3 \|- a  \|b x + a
+--R  /
+--R                +----+
+--R          2 +-+3|   2
+--R     18a x \|3 \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1928
+
+--S 1929 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                         +----+2                +----+
+--R          2 +-+3+-+2    3|   2   3+-------+2   3|   2 3+-------+    2
+--R       - b \|3 \|a  log(\|- a    \|b x + a  - a\|- a  \|b x + a  + a )
+--R     + 
+--R                +----+
+--R          2 +-+3|   2     3+-------+2   3+-+3+-------+   3+-+2
+--R       - b \|3 \|- a  log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                        +----+
+--R         2 +-+3+-+2    3|   2 3+-------+
+--R       2b \|3 \|a  log(\|- a  \|b x + a  + a)
+--R     + 
+--R               +----+
+--R         2 +-+3|   2       3+-------+   3+-+
+--R       2b \|3 \|- a  log(- \|b x + a  + \|a )
+--R     + 
+--R                           +----+
+--R                       +-+3|   2 3+-------+     +-+
+--R         2 3+-+2     2\|3 \|- a  \|b x + a  - a\|3
+--R       6b  \|a  atan(------------------------------)
+--R                                   3a
+--R     + 
+--R              +----+      3+-------+   3+-+
+--R           2 3|   2      2\|b x + a  + \|a
+--R       - 6b  \|- a  atan(------------------)
+--R                               +-+3+-+
+--R                              \|3 \|a
+--R  /
+--R             +----+
+--R         +-+3|   2 3+-+2
+--R     18a\|3 \|- a  \|a
+--R                                                    Type: Expression(Integer)
+--E 1929
+
+--S 1930 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1930
+
+)clear all
+
+--S 1931 of 3330
+t0000:=x^3*(a+b*x)^(2/3)
+--R 
+--R
+--R         3 3+-------+2
+--R   (1)  x  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1931
+
+--S 1932 of 3330
+r0000:=-3/5*a^3*(a+b*x)^(5/3)/b^4+9/8*a^2*(a+b*x)^(8/3)/b^4-_
+     9/11*a*(a+b*x)^(11/3)/b^4+3/14*(a+b*x)^(14/3)/b^4
+--R 
+--R
+--R             4 4         3 3       2 2 2       3          4 3+-------+2
+--R        (660b x  + 120a b x  - 135a b x  + 162a b x - 243a )\|b x + a
+--R   (2)  ---------------------------------------------------------------
+--R                                          4
+--R                                     3080b
+--R                                                    Type: Expression(Integer)
+--E 1932
+
+--S 1933 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             4 4         3 3       2 2 2       3          4 3+-------+2
+--R        (660b x  + 120a b x  - 135a b x  + 162a b x - 243a )\|b x + a
+--R   (3)  ---------------------------------------------------------------
+--R                                          4
+--R                                     3080b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1933
+
+--S 1934 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1934
+
+--S 1935 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1935
+
+)clear all
+
+--S 1936 of 3330
+t0000:=x^2*(a+b*x)^(2/3)
+--R 
+--R
+--R         2 3+-------+2
+--R   (1)  x  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1936
+
+--S 1937 of 3330
+r0000:=3/5*a^2*(a+b*x)^(5/3)/b^3-3/4*a*(a+b*x)^(8/3)/b^3+_
+     3/11*(a+b*x)^(11/3)/b^3
+--R 
+--R
+--R            3 3        2 2      2         3 3+-------+2
+--R        (60b x  + 15a b x  - 18a b x + 27a )\|b x + a
+--R   (2)  -----------------------------------------------
+--R                                 3
+--R                             220b
+--R                                                    Type: Expression(Integer)
+--E 1937
+
+--S 1938 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 3        2 2      2         3 3+-------+2
+--R        (60b x  + 15a b x  - 18a b x + 27a )\|b x + a
+--R   (3)  -----------------------------------------------
+--R                                 3
+--R                             220b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1938
+
+--S 1939 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1939
+
+--S 1940 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1940
+
+)clear all
+
+--S 1941 of 3330
+t0000:=x*(a+b*x)^(2/3)
+--R 
+--R
+--R          3+-------+2
+--R   (1)  x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1941
+
+--S 1942 of 3330
+r0000:=-3/5*a*(a+b*x)^(5/3)/b^2+3/8*(a+b*x)^(8/3)/b^2
+--R 
+--R
+--R            2 2              2 3+-------+2
+--R        (15b x  + 6a b x - 9a )\|b x + a
+--R   (2)  ----------------------------------
+--R                          2
+--R                       40b
+--R                                                    Type: Expression(Integer)
+--E 1942
+
+--S 1943 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 2              2 3+-------+2
+--R        (15b x  + 6a b x - 9a )\|b x + a
+--R   (3)  ----------------------------------
+--R                          2
+--R                       40b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1943
+
+--S 1944 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1944
+
+--S 1945 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1945
+
+)clear all
+
+--S 1946 of 3330
+t0000:=(a+b*x)^(2/3)
+--R 
+--R
+--R        3+-------+2
+--R   (1)  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1946
+
+--S 1947 of 3330
+r0000:=3/5*(a+b*x)^(5/3)/b
+--R 
+--R
+--R                   3+-------+2
+--R        (3b x + 3a)\|b x + a
+--R   (2)  ----------------------
+--R                  5b
+--R                                                    Type: Expression(Integer)
+--E 1947
+
+--S 1948 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                   3+-------+2
+--R        (3b x + 3a)\|b x + a
+--R   (3)  ----------------------
+--R                  5b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1948
+
+--S 1949 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1949
+
+--S 1950 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1950
+
+)clear all
+
+--S 1951 of 3330
+t0000:=(a+b*x)^(2/3)/x
+--R 
+--R
+--R        3+-------+2
+--R        \|b x + a
+--R   (1)  -----------
+--R             x
+--R                                                    Type: Expression(Integer)
+--E 1951
+
+--S 1952 of 3330
+r0000:=3/2*(a+b*x)^(2/3)+a^(2/3)*log(a^(1/3)-(a+b*x)^(1/3))-_
+     1/2*a^(2/3)*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))+_
+     a^(2/3)*atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))*sqrt(3)
+--R 
+--R
+--R   (2)
+--R         3+-+2    3+-------+2   3+-+3+-------+   3+-+2
+--R       - \|a  log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                        3+-------+   3+-+
+--R        3+-+2      3+-------+   3+-+      +-+3+-+2     2\|b x + a  + \|a
+--R       2\|a  log(- \|b x + a  + \|a ) + 2\|3 \|a  atan(------------------)
+--R                                                             +-+3+-+
+--R                                                            \|3 \|a
+--R     + 
+--R        3+-------+2
+--R       3\|b x + a
+--R  /
+--R     2
+--R                                                    Type: Expression(Integer)
+--E 1952
+
+--S 1953 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R          +--+                     +--+2               +--+
+--R         3| 2       3+-------+2   3| 2   3+-------+   3| 2
+--R       - \|a  log(a \|b x + a   + \|a    \|b x + a + a\|a  )
+--R     + 
+--R                                                                        +--+2
+--R         +--+                   +--+2          +--+       3+-------+   3| 2
+--R        3| 2      3+-------+   3| 2        +-+3| 2      2a\|b x + a  + \|a
+--R       2\|a  log(a\|b x + a  - \|a   ) + 2\|3 \|a  atan(---------------------)
+--R                                                                   +--+2
+--R                                                               +-+3| 2
+--R                                                              \|3 \|a
+--R     + 
+--R        3+-------+2
+--R       3\|b x + a
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 1953
+
+--S 1954 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R          +--+                     +--+2               +--+
+--R         3| 2       3+-------+2   3| 2   3+-------+   3| 2
+--R       - \|a  log(a \|b x + a   + \|a    \|b x + a + a\|a  )
+--R     + 
+--R       3+-+2    3+-------+2   3+-+3+-------+   3+-+2
+--R       \|a  log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R         +--+                   +--+2
+--R        3| 2      3+-------+   3| 2       3+-+2      3+-------+   3+-+
+--R       2\|a  log(a\|b x + a  - \|a   ) - 2\|a  log(- \|b x + a  + \|a )
+--R     + 
+--R                         3+-------+   3+-+
+--R           +-+3+-+2     2\|b x + a  + \|a
+--R       - 2\|3 \|a  atan(------------------)
+--R                              +-+3+-+
+--R                             \|3 \|a
+--R     + 
+--R                                      +--+2
+--R             +--+       3+-------+   3| 2
+--R         +-+3| 2      2a\|b x + a  + \|a
+--R       2\|3 \|a  atan(---------------------)
+--R                                 +--+2
+--R                             +-+3| 2
+--R                            \|3 \|a
+--R  /
+--R     2
+--R                                                    Type: Expression(Integer)
+--E 1954
+
+--S 1955 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1955
+
+)clear all
+
+--S 1956 of 3330
+t0000:=(a+b*x)^(2/3)/x^2
+--R 
+--R
+--R        3+-------+2
+--R        \|b x + a
+--R   (1)  -----------
+--R              2
+--R             x
+--R                                                    Type: Expression(Integer)
+--E 1956
+
+--S 1957 of 3330
+r0000:=-(a+b*x)^(2/3)/x+2/3*b*log(a^(1/3)-(a+b*x)^(1/3))/a^(1/3)-_
+     1/3*b*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(1/3)+_
+     2*b*atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/(a^(1/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R             +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - b x\|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                     3+-------+   3+-+
+--R            +-+      3+-------+   3+-+              2\|b x + a  + \|a
+--R       2b x\|3 log(- \|b x + a  + \|a ) + 6b x atan(------------------)
+--R                                                          +-+3+-+
+--R                                                         \|3 \|a
+--R     + 
+--R           +-+3+-+3+-------+2
+--R       - 3\|3 \|a \|b x + a
+--R  /
+--R        +-+3+-+
+--R     3x\|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 1957
+
+--S 1958 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             +-+    3+-+3+-------+2   3+-+2 3+-------+
+--R       - b x\|3 log(\|a \|b x + a   + \|a   \|b x + a + a)
+--R     + 
+--R            +-+    3+-+2 3+-------+
+--R       2b x\|3 log(\|a   \|b x + a - a)
+--R     + 
+--R                   +-+3+-+2 3+-------+    +-+
+--R                 2\|3 \|a   \|b x + a + a\|3       +-+3+-+3+-------+2
+--R       6b x atan(----------------------------) - 3\|3 \|a \|b x + a
+--R                              3a
+--R  /
+--R        +-+3+-+
+--R     3x\|3 \|a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1958
+
+--S 1959 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R           +-+    3+-+3+-------+2   3+-+2 3+-------+
+--R       - b\|3 log(\|a \|b x + a   + \|a   \|b x + a + a)
+--R     + 
+--R         +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       b\|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R          +-+    3+-+2 3+-------+          +-+      3+-------+   3+-+
+--R       2b\|3 log(\|a   \|b x + a - a) - 2b\|3 log(- \|b x + a  + \|a )
+--R     + 
+--R                 +-+3+-+2 3+-------+    +-+             3+-------+   3+-+
+--R               2\|3 \|a   \|b x + a + a\|3             2\|b x + a  + \|a
+--R       6b atan(----------------------------) - 6b atan(------------------)
+--R                            3a                               +-+3+-+
+--R                                                            \|3 \|a
+--R  /
+--R       +-+3+-+
+--R     3\|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 1959
+
+--S 1960 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1960
+
+)clear all
+
+--S 1961 of 3330
+t0000:=(a+b*x)^(2/3)/x^3
+--R 
+--R
+--R        3+-------+2
+--R        \|b x + a
+--R   (1)  -----------
+--R              3
+--R             x
+--R                                                    Type: Expression(Integer)
+--E 1961
+
+--S 1962 of 3330
+r0000:=-1/2*(a+b*x)^(2/3)/x^2-1/3*b*(a+b*x)^(2/3)/(a*x)-_
+     1/9*b^2*log(a^(1/3)-(a+b*x)^(1/3))/a^(4/3)+1/18*b^2*log(a^(2/3)+_
+     a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(4/3)-_
+     1/3*b^2*atan((a^(1/3)+2*(a+b*x)^(1/3))/_
+     (a^(1/3)*sqrt(3)))/(a^(4/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R        2 2 +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       b x \|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                        3+-------+   3+-+
+--R           2 2 +-+      3+-------+   3+-+      2 2     2\|b x + a  + \|a
+--R       - 2b x \|3 log(- \|b x + a  + \|a ) - 6b x atan(------------------)
+--R                                                             +-+3+-+
+--R                                                            \|3 \|a
+--R     + 
+--R                     +-+3+-+3+-------+2
+--R       (- 6b x - 9a)\|3 \|a \|b x + a
+--R  /
+--R          2 +-+3+-+
+--R     18a x \|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 1962
+
+--S 1963 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R          2 2 +-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - b x \|3 log(\|- a \|b x + a   - \|- a   \|b x + a - a)
+--R     + 
+--R         2 2 +-+    3+---+2 3+-------+
+--R       2b x \|3 log(\|- a   \|b x + a - a)
+--R     + 
+--R                   +-+3+---+2 3+-------+    +-+
+--R         2 2     2\|3 \|- a   \|b x + a + a\|3
+--R       6b x atan(------------------------------)
+--R                               3a
+--R     + 
+--R                     +-+3+---+3+-------+2
+--R       (- 6b x - 9a)\|3 \|- a \|b x + a
+--R  /
+--R          2 +-+3+---+
+--R     18a x \|3 \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1963
+
+--S 1964 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R          2 +-+3+-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - b \|3 \|a log(\|- a \|b x + a   - \|- a   \|b x + a - a)
+--R     + 
+--R          2 +-+3+---+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - b \|3 \|- a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R         2 +-+3+-+    3+---+2 3+-------+
+--R       2b \|3 \|a log(\|- a   \|b x + a - a)
+--R     + 
+--R         2 +-+3+---+      3+-------+   3+-+
+--R       2b \|3 \|- a log(- \|b x + a  + \|a )
+--R     + 
+--R                      +-+3+---+2 3+-------+    +-+
+--R         2 3+-+     2\|3 \|- a   \|b x + a + a\|3
+--R       6b  \|a atan(------------------------------)
+--R                                  3a
+--R     + 
+--R                       3+-------+   3+-+
+--R         2 3+---+     2\|b x + a  + \|a
+--R       6b  \|- a atan(------------------)
+--R                            +-+3+-+
+--R                           \|3 \|a
+--R  /
+--R         +-+3+---+3+-+
+--R     18a\|3 \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 1964
+
+--S 1965 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1965
+
+)clear all
+
+--S 1966 of 3330
+t0000:=x^3*(a+b*x)^(4/3)
+--R 
+--R
+--R            4      3 3+-------+
+--R   (1)  (b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1966
+
+--S 1967 of 3330
+r0000:=-3/7*a^3*(a+b*x)^(7/3)/b^4+9/10*a^2*(a+b*x)^(10/3)/b^4-_
+     9/13*a*(a+b*x)^(13/3)/b^4+3/16*(a+b*x)^(16/3)/b^4
+--R 
+--R
+--R   (2)
+--R         5 5          4 4      2 3 3      3 2 2      4          5 3+-------+
+--R   (1365b x  + 1785a b x  + 42a b x  - 54a b x  + 81a b x - 243a )\|b x + a
+--R   -------------------------------------------------------------------------
+--R                                          4
+--R                                     7280b
+--R                                                    Type: Expression(Integer)
+--E 1967
+
+--S 1968 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R         5 5          4 4      2 3 3      3 2 2      4          5 3+-------+
+--R   (1365b x  + 1785a b x  + 42a b x  - 54a b x  + 81a b x - 243a )\|b x + a
+--R   -------------------------------------------------------------------------
+--R                                          4
+--R                                     7280b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1968
+
+--S 1969 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1969
+
+--S 1970 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1970
+
+)clear all
+
+--S 1971 of 3330
+t0000:=x^2*(a+b*x)^(4/3)
+--R 
+--R
+--R            3      2 3+-------+
+--R   (1)  (b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1971
+
+--S 1972 of 3330
+r0000:=3/7*a^2*(a+b*x)^(7/3)/b^3-3/5*a*(a+b*x)^(10/3)/b^3+_
+     3/13*(a+b*x)^(13/3)/b^3
+--R 
+--R
+--R             4 4         3 3     2 2 2     3         4 3+-------+
+--R        (105b x  + 147a b x  + 6a b x  - 9a b x + 27a )\|b x + a
+--R   (2)  ---------------------------------------------------------
+--R                                      3
+--R                                  455b
+--R                                                    Type: Expression(Integer)
+--E 1972
+
+--S 1973 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             4 4         3 3     2 2 2     3         4 3+-------+
+--R        (105b x  + 147a b x  + 6a b x  - 9a b x + 27a )\|b x + a
+--R   (3)  ---------------------------------------------------------
+--R                                      3
+--R                                  455b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1973
+
+--S 1974 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1974
+
+--S 1975 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1975
+
+)clear all
+
+--S 1976 of 3330
+t0000:=x*(a+b*x)^(4/3)
+--R 
+--R
+--R            2       3+-------+
+--R   (1)  (b x  + a x)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1976
+
+--S 1977 of 3330
+r0000:=-3/7*a*(a+b*x)^(7/3)/b^2+3/10*(a+b*x)^(10/3)/b^2
+--R 
+--R
+--R            3 3        2 2     2        3 3+-------+
+--R        (21b x  + 33a b x  + 3a b x - 9a )\|b x + a
+--R   (2)  --------------------------------------------
+--R                               2
+--R                            70b
+--R                                                    Type: Expression(Integer)
+--E 1977
+
+--S 1978 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 3        2 2     2        3 3+-------+
+--R        (21b x  + 33a b x  + 3a b x - 9a )\|b x + a
+--R   (3)  --------------------------------------------
+--R                               2
+--R                            70b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1978
+
+--S 1979 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1979
+
+--S 1980 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1980
+
+)clear all
+
+--S 1981 of 3330
+t0000:=(a+b*x)^(4/3)
+--R 
+--R
+--R                 3+-------+
+--R   (1)  (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 1981
+
+--S 1982 of 3330
+r0000:=3/7*(a+b*x)^(7/3)/b
+--R 
+--R
+--R           2 2              2 3+-------+
+--R        (3b x  + 6a b x + 3a )\|b x + a
+--R   (2)  --------------------------------
+--R                       7b
+--R                                                    Type: Expression(Integer)
+--E 1982
+
+--S 1983 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2              2 3+-------+
+--R        (3b x  + 6a b x + 3a )\|b x + a
+--R   (3)  --------------------------------
+--R                       7b
+--R                                         Type: Union(Expression(Integer),...)
+--E 1983
+
+--S 1984 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 1984
+
+--S 1985 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1985
+
+)clear all
+
+--S 1986 of 3330
+t0000:=(a+b*x)^(4/3)/x
+--R 
+--R
+--R                 3+-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1986
+
+--S 1987 of 3330
+r0000:=3*a*(a+b*x)^(1/3)+3/4*(a+b*x)^(4/3)+a^(4/3)*log(a^(1/3)-_
+     (a+b*x)^(1/3))-1/2*a^(4/3)*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+_
+     (a+b*x)^(2/3))-a^(4/3)*atan((a^(1/3)+_
+     2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))*sqrt(3)
+--R 
+--R
+--R   (2)
+--R           3+-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - 2a\|a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                        3+-------+   3+-+
+--R         3+-+      3+-------+   3+-+       +-+3+-+     2\|b x + a  + \|a
+--R       4a\|a log(- \|b x + a  + \|a ) - 4a\|3 \|a atan(------------------)
+--R                                                             +-+3+-+
+--R                                                            \|3 \|a
+--R     + 
+--R                   3+-------+
+--R       (3b x + 15a)\|b x + a
+--R  /
+--R     4
+--R                                                    Type: Expression(Integer)
+--E 1987
+
+--S 1988 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           3+-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - 2a\|a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                      3+-------+   3+-+
+--R         3+-+    3+-------+   3+-+       +-+3+-+     2\|b x + a  + \|a
+--R       4a\|a log(\|b x + a  - \|a ) - 4a\|3 \|a atan(------------------)
+--R                                                           +-+3+-+
+--R                                                          \|3 \|a
+--R     + 
+--R                   3+-------+
+--R       (3b x + 15a)\|b x + a
+--R  /
+--R     4
+--R                                         Type: Union(Expression(Integer),...)
+--E 1988
+
+--S 1989 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R         3+-+    3+-------+   3+-+     3+-+      3+-------+   3+-+
+--R   (4)  a\|a log(\|b x + a  - \|a ) - a\|a log(- \|b x + a  + \|a )
+--R                                                    Type: Expression(Integer)
+--E 1989
+
+--S 1990 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1990
+
+)clear all
+
+--S 1991 of 3330
+t0000:=(a+b*x)^(4/3)/x^2
+--R 
+--R
+--R                 3+-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                  2
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1991
+
+--S 1992 of 3330
+r0000:=4*b*(a+b*x)^(1/3)-(a+b*x)^(4/3)/x+4/3*a^(1/3)*b*log(a^(1/3)-_
+     (a+b*x)^(1/3))-2/3*a^(1/3)*b*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+_
+     (a+b*x)^(2/3))-4*a^(1/3)*b*atan((a^(1/3)+_
+     2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/sqrt(3)
+--R 
+--R
+--R   (2)
+--R              +-+3+-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - 2b x\|3 \|a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                             3+-------+   3+-+
+--R            +-+3+-+      3+-------+   3+-+         3+-+     2\|b x + a  + \|a
+--R       4b x\|3 \|a log(- \|b x + a  + \|a ) - 12b x\|a atan(------------------)
+--R                                                                  +-+3+-+
+--R                                                                 \|3 \|a
+--R     + 
+--R                   +-+3+-------+
+--R       (9b x - 3a)\|3 \|b x + a
+--R  /
+--R        +-+
+--R     3x\|3
+--R                                                    Type: Expression(Integer)
+--E 1992
+
+--S 1993 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              +-+3+-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - 2b x\|3 \|a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R            +-+3+-+    3+-------+   3+-+
+--R       4b x\|3 \|a log(\|b x + a  - \|a )
+--R     + 
+--R                         +-+3+-------+    +-+3+-+
+--R              3+-+     2\|3 \|b x + a  + \|3 \|a                 +-+3+-------+
+--R       - 12b x\|a atan(--------------------------) + (9b x - 3a)\|3 \|b x + a
+--R                                   3+-+
+--R                                  3\|a
+--R  /
+--R        +-+
+--R     3x\|3
+--R                                         Type: Union(Expression(Integer),...)
+--E 1993
+
+--S 1994 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R          +-+3+-+    3+-------+   3+-+       +-+3+-+      3+-------+   3+-+
+--R       4b\|3 \|a log(\|b x + a  - \|a ) - 4b\|3 \|a log(- \|b x + a  + \|a )
+--R     + 
+--R                     +-+3+-------+    +-+3+-+                 3+-------+   3+-+
+--R          3+-+     2\|3 \|b x + a  + \|3 \|a        3+-+     2\|b x + a  + \|a
+--R     - 12b\|a atan(--------------------------) + 12b\|a atan(------------------)
+--R                               3+-+                                +-+3+-+
+--R                              3\|a                                \|3 \|a
+--R  /
+--R       +-+
+--R     3\|3
+--R                                                    Type: Expression(Integer)
+--E 1994
+
+--S 1995 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 1995
+
+)clear all
+
+--S 1996 of 3330
+t0000:=(a+b*x)^(4/3)/x^3
+--R 
+--R
+--R                 3+-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                  3
+--R                 x
+--R                                                    Type: Expression(Integer)
+--E 1996
+
+--S 1997 of 3330
+r0000:=-2/3*b*(a+b*x)^(1/3)/x-1/2*(a+b*x)^(4/3)/x^2+2/9*b^2*log(a^(1/3)-_
+     (a+b*x)^(1/3))/a^(2/3)-1/9*b^2*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+_
+     (a+b*x)^(2/3))/a^(2/3)-2/3*b^2*atan((a^(1/3)+_
+     2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/(a^(2/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R           2 2 +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - 2b x \|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                       3+-------+   3+-+
+--R         2 2 +-+      3+-------+   3+-+       2 2     2\|b x + a  + \|a
+--R       4b x \|3 log(- \|b x + a  + \|a ) - 12b x atan(------------------)
+--R                                                            +-+3+-+
+--R                                                           \|3 \|a
+--R     + 
+--R                      +-+3+-+2 3+-------+
+--R       (- 21b x - 9a)\|3 \|a   \|b x + a
+--R  /
+--R        2 +-+3+-+2
+--R     18x \|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 1997
+
+--S 1998 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                       +--+2                +--+
+--R           2 2 +-+    3| 2   3+-------+2   3| 2 3+-------+    2
+--R       - 2b x \|3 log(\|a    \|b x + a  + a\|a  \|b x + a  + a )
+--R     + 
+--R                     +--+
+--R         2 2 +-+    3| 2 3+-------+
+--R       4b x \|3 log(\|a  \|b x + a  - a)
+--R     + 
+--R                          +--+
+--R                      +-+3| 2 3+-------+     +-+
+--R            2 2     2\|3 \|a  \|b x + a  + a\|3
+--R       - 12b x atan(----------------------------)
+--R                                 3a
+--R     + 
+--R                          +--+
+--R                      +-+3| 2 3+-------+
+--R       (- 21b x - 9a)\|3 \|a  \|b x + a
+--R  /
+--R              +--+
+--R        2 +-+3| 2
+--R     18x \|3 \|a
+--R                                         Type: Union(Expression(Integer),...)
+--E 1998
+
+--S 1999 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                         +--+2                +--+
+--R          2 +-+3+-+2    3| 2   3+-------+2   3| 2 3+-------+    2
+--R       - b \|3 \|a  log(\|a    \|b x + a  + a\|a  \|b x + a  + a )
+--R     + 
+--R              +--+
+--R        2 +-+3| 2     3+-------+2   3+-+3+-------+   3+-+2
+--R       b \|3 \|a  log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                        +--+
+--R         2 +-+3+-+2    3| 2 3+-------+
+--R       2b \|3 \|a  log(\|a  \|b x + a  - a)
+--R     + 
+--R                 +--+
+--R           2 +-+3| 2       3+-------+   3+-+
+--R       - 2b \|3 \|a  log(- \|b x + a  + \|a )
+--R     + 
+--R                             +--+
+--R                         +-+3| 2 3+-------+     +-+
+--R           2 3+-+2     2\|3 \|a  \|b x + a  + a\|3
+--R       - 6b  \|a  atan(----------------------------)
+--R                                    3a
+--R     + 
+--R            +--+      3+-------+   3+-+
+--R         2 3| 2      2\|b x + a  + \|a
+--R       6b  \|a  atan(------------------)
+--R                           +-+3+-+
+--R                          \|3 \|a
+--R  /
+--R                 +--+
+--R       +-+3+-+2 3| 2
+--R     9\|3 \|a   \|a
+--R                                                    Type: Expression(Integer)
+--E 1999
+
+--S 2000 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2000
+
+)clear all
+
+--S 2001 of 3330
+t0000:=x^3/(a+b*x)^(1/3)
+--R 
+--R
+--R             3
+--R            x
+--R   (1)  ----------
+--R        3+-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2001
+
+--S 2002 of 3330
+r0000:=-3/2*a^3*(a+b*x)^(2/3)/b^4+9/5*a^2*(a+b*x)^(5/3)/b^4-_
+     9/8*a*(a+b*x)^(8/3)/b^4+3/11*(a+b*x)^(11/3)/b^4
+--R 
+--R
+--R             3 3         2 2       2          3 3+-------+2
+--R        (120b x  - 135a b x  + 162a b x - 243a )\|b x + a
+--R   (2)  ---------------------------------------------------
+--R                                   4
+--R                               440b
+--R                                                    Type: Expression(Integer)
+--E 2002
+
+--S 2003 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             3 3         2 2       2          3 3+-------+2
+--R        (120b x  - 135a b x  + 162a b x - 243a )\|b x + a
+--R   (3)  ---------------------------------------------------
+--R                                   4
+--R                               440b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2003
+
+--S 2004 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2004
+
+--S 2005 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2005
+
+)clear all
+
+--S 2006 of 3330
+t0000:=x^2/(a+b*x)^(1/3)
+--R 
+--R
+--R             2
+--R            x
+--R   (1)  ----------
+--R        3+-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2006
+
+--S 2007 of 3330
+r0000:=3/2*a^2*(a+b*x)^(2/3)/b^3-6/5*a*(a+b*x)^(5/3)/b^3+3/8*(a+b*x)^(8/3)/b^3
+--R 
+--R
+--R            2 2                2 3+-------+2
+--R        (15b x  - 18a b x + 27a )\|b x + a
+--R   (2)  ------------------------------------
+--R                           3
+--R                        40b
+--R                                                    Type: Expression(Integer)
+--E 2007
+
+--S 2008 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 2                2 3+-------+2
+--R        (15b x  - 18a b x + 27a )\|b x + a
+--R   (3)  ------------------------------------
+--R                           3
+--R                        40b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2008
+
+--S 2009 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2009
+
+--S 2010 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2010
+
+)clear all
+
+--S 2011 of 3330
+t0000:=x/(a+b*x)^(1/3)
+--R 
+--R
+--R             x
+--R   (1)  ----------
+--R        3+-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2011
+
+--S 2012 of 3330
+r0000:=-3/2*a*(a+b*x)^(2/3)/b^2+3/5*(a+b*x)^(5/3)/b^2
+--R 
+--R
+--R                   3+-------+2
+--R        (6b x - 9a)\|b x + a
+--R   (2)  ----------------------
+--R                    2
+--R                 10b
+--R                                                    Type: Expression(Integer)
+--E 2012
+
+--S 2013 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                   3+-------+2
+--R        (6b x - 9a)\|b x + a
+--R   (3)  ----------------------
+--R                    2
+--R                 10b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2013
+
+--S 2014 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2014
+
+--S 2015 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2015
+
+)clear all
+
+--S 2016 of 3330
+t0000:=1/(a+b*x)^(1/3)
+--R 
+--R
+--R             1
+--R   (1)  ----------
+--R        3+-------+
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2016
+
+--S 2017 of 3330
+r0000:=3/2*(a+b*x)^(2/3)/b
+--R 
+--R
+--R         3+-------+2
+--R        3\|b x + a
+--R   (2)  ------------
+--R             2b
+--R                                                    Type: Expression(Integer)
+--E 2017
+
+--S 2018 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R         3+-------+2
+--R        3\|b x + a
+--R   (3)  ------------
+--R             2b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2018
+
+--S 2019 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2019
+
+--S 2020 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2020
+
+)clear all
+
+--S 2021 of 3330
+t0000:=1/(x*(a+b*x)^(1/3))
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R         3+-------+
+--R        x\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2021
+
+--S 2022 of 3330
+r0000:=log(a^(1/3)-(a+b*x)^(1/3))/a^(1/3)-1/2*log(a^(2/3)+_
+     a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(1/3)+_
+     atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))*sqrt(3)/a^(1/3)
+--R 
+--R
+--R   (2)
+--R             3+-------+2   3+-+3+-------+   3+-+2           3+-------+   3+-+
+--R       - log(\|b x + a   + \|a \|b x + a  + \|a  ) + 2log(- \|b x + a  + \|a )
+--R     + 
+--R                  3+-------+   3+-+
+--R         +-+     2\|b x + a  + \|a
+--R       2\|3 atan(------------------)
+--R                       +-+3+-+
+--R                      \|3 \|a
+--R  /
+--R      3+-+
+--R     2\|a
+--R                                                    Type: Expression(Integer)
+--E 2022
+
+--S 2023 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             3+-+3+-------+2   3+-+2 3+-------+            3+-+2 3+-------+
+--R       - log(\|a \|b x + a   + \|a   \|b x + a + a) + 2log(\|a   \|b x + a - a)
+--R     + 
+--R                  3+-+2 3+-------+
+--R         +-+     2\|a   \|b x + a + a
+--R       2\|3 atan(--------------------)
+--R                           +-+
+--R                         a\|3
+--R  /
+--R      3+-+
+--R     2\|a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2023
+
+--S 2024 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R             3+-+3+-------+2   3+-+2 3+-------+
+--R       - log(\|a \|b x + a   + \|a   \|b x + a + a)
+--R     + 
+--R           3+-------+2   3+-+3+-------+   3+-+2         3+-+2 3+-------+
+--R       log(\|b x + a   + \|a \|b x + a  + \|a  ) + 2log(\|a   \|b x + a - a)
+--R     + 
+--R                                                3+-+2 3+-------+
+--R                3+-------+   3+-+      +-+     2\|a   \|b x + a + a
+--R       - 2log(- \|b x + a  + \|a ) + 2\|3 atan(--------------------)
+--R                                                         +-+
+--R                                                       a\|3
+--R     + 
+--R                    3+-------+   3+-+
+--R           +-+     2\|b x + a  + \|a
+--R       - 2\|3 atan(------------------)
+--R                         +-+3+-+
+--R                        \|3 \|a
+--R  /
+--R      3+-+
+--R     2\|a
+--R                                                    Type: Expression(Integer)
+--E 2024
+
+--S 2025 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2025
+
+)clear all
+
+--S 2026 of 3330
+t0000:=1/(x^2*(a+b*x)^(1/3))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R         2 3+-------+
+--R        x  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2026
+
+--S 2027 of 3330
+r0000:=-(a+b*x)^(2/3)/(a*x)-1/3*b*log(a^(1/3)-(a+b*x)^(1/3))/a^(4/3)+_
+     1/6*b*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(4/3)-_
+     b*atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/(a^(4/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R           +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       b x\|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                       3+-------+   3+-+
+--R              +-+      3+-------+   3+-+              2\|b x + a  + \|a
+--R       - 2b x\|3 log(- \|b x + a  + \|a ) - 6b x atan(------------------)
+--R                                                            +-+3+-+
+--R                                                           \|3 \|a
+--R     + 
+--R           +-+3+-+3+-------+2
+--R       - 6\|3 \|a \|b x + a
+--R  /
+--R          +-+3+-+
+--R     6a x\|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 2027
+
+--S 2028 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             +-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - b x\|3 log(\|- a \|b x + a   - \|- a   \|b x + a - a)
+--R     + 
+--R            +-+    3+---+2 3+-------+
+--R       2b x\|3 log(\|- a   \|b x + a - a)
+--R     + 
+--R                   +-+3+---+2 3+-------+    +-+
+--R                 2\|3 \|- a   \|b x + a + a\|3       +-+3+---+3+-------+2
+--R       6b x atan(------------------------------) - 6\|3 \|- a \|b x + a
+--R                               3a
+--R  /
+--R          +-+3+---+
+--R     6a x\|3 \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2028
+
+--S 2029 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R           +-+3+-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - b\|3 \|a log(\|- a \|b x + a   - \|- a   \|b x + a - a)
+--R     + 
+--R           +-+3+---+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - b\|3 \|- a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R          +-+3+-+    3+---+2 3+-------+
+--R       2b\|3 \|a log(\|- a   \|b x + a - a)
+--R     + 
+--R          +-+3+---+      3+-------+   3+-+
+--R       2b\|3 \|- a log(- \|b x + a  + \|a )
+--R     + 
+--R                    +-+3+---+2 3+-------+    +-+
+--R         3+-+     2\|3 \|- a   \|b x + a + a\|3
+--R       6b\|a atan(------------------------------)
+--R                                3a
+--R     + 
+--R                     3+-------+   3+-+
+--R         3+---+     2\|b x + a  + \|a
+--R       6b\|- a atan(------------------)
+--R                          +-+3+-+
+--R                         \|3 \|a
+--R  /
+--R        +-+3+---+3+-+
+--R     6a\|3 \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 2029
+
+--S 2030 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2030
+
+)clear all
+
+--S 2031 of 3330
+t0000:=1/(x^3*(a+b*x)^(1/3))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R         3 3+-------+
+--R        x  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2031
+
+--S 2032 of 3330
+r0000:=-1/2*(a+b*x)^(2/3)/(a*x^2)+2/3*b*(a+b*x)^(2/3)/(a^2*x)+_
+     2/9*b^2*log(a^(1/3)-(a+b*x)^(1/3))/a^(7/3)-1/9*b^2*log(a^(2/3)+_
+     a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(7/3)+_
+     2/3*b^2*atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/_
+     (a^(7/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R           2 2 +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - 2b x \|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                       3+-------+   3+-+
+--R         2 2 +-+      3+-------+   3+-+       2 2     2\|b x + a  + \|a
+--R       4b x \|3 log(- \|b x + a  + \|a ) + 12b x atan(------------------)
+--R                                                            +-+3+-+
+--R                                                           \|3 \|a
+--R     + 
+--R                    +-+3+-+3+-------+2
+--R       (12b x - 9a)\|3 \|a \|b x + a
+--R  /
+--R        2 2 +-+3+-+
+--R     18a x \|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 2032
+
+--S 2033 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           2 2 +-+    3+-+3+-------+2   3+-+2 3+-------+
+--R       - 2b x \|3 log(\|a \|b x + a   + \|a   \|b x + a + a)
+--R     + 
+--R         2 2 +-+    3+-+2 3+-------+
+--R       4b x \|3 log(\|a   \|b x + a - a)
+--R     + 
+--R                  +-+3+-+2 3+-------+    +-+
+--R        2 2     2\|3 \|a   \|b x + a + a\|3                  +-+3+-+3+-------+2
+--R     12b x atan(----------------------------) + (12b x - 9a)\|3 \|a \|b x + a
+--R                             3a
+--R  /
+--R        2 2 +-+3+-+
+--R     18a x \|3 \|a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2033
+
+--S 2034 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R          2 +-+    3+-+3+-------+2   3+-+2 3+-------+
+--R       - b \|3 log(\|a \|b x + a   + \|a   \|b x + a + a)
+--R     + 
+--R        2 +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       b \|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R         2 +-+    3+-+2 3+-------+         2 +-+      3+-------+   3+-+
+--R       2b \|3 log(\|a   \|b x + a - a) - 2b \|3 log(- \|b x + a  + \|a )
+--R     + 
+--R                 +-+3+-+2 3+-------+    +-+             3+-------+   3+-+
+--R         2     2\|3 \|a   \|b x + a + a\|3       2     2\|b x + a  + \|a
+--R       6b atan(----------------------------) - 6b atan(------------------)
+--R                            3a                               +-+3+-+
+--R                                                            \|3 \|a
+--R  /
+--R       2 +-+3+-+
+--R     9a \|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 2034
+
+--S 2035 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2035
+
+)clear all
+
+--S 2036 of 3330
+t0000:=x^3/(-a+b*x)^(1/3)
+--R 
+--R
+--R             3
+--R            x
+--R   (1)  ----------
+--R        3+-------+
+--R        \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 2036
+
+--S 2037 of 3330
+r0000:=3/2*a^3*(-a+b*x)^(2/3)/b^4+9/5*a^2*(-a+b*x)^(5/3)/b^4+_
+     9/8*a*(-a+b*x)^(8/3)/b^4+3/11*(-a+b*x)^(11/3)/b^4
+--R 
+--R
+--R             3 3         2 2       2          3 3+-------+2
+--R        (120b x  + 135a b x  + 162a b x + 243a )\|b x - a
+--R   (2)  ---------------------------------------------------
+--R                                   4
+--R                               440b
+--R                                                    Type: Expression(Integer)
+--E 2037
+
+--S 2038 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             3 3         2 2       2          3 3+-------+2
+--R        (120b x  + 135a b x  + 162a b x + 243a )\|b x - a
+--R   (3)  ---------------------------------------------------
+--R                                   4
+--R                               440b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2038
+
+--S 2039 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2039
+
+--S 2040 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2040
+
+)clear all
+
+--S 2041 of 3330
+t0000:=x^2/(-a+b*x)^(1/3)
+--R 
+--R
+--R             2
+--R            x
+--R   (1)  ----------
+--R        3+-------+
+--R        \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 2041
+
+--S 2042 of 3330
+r0000:=3/2*a^2*(-a+b*x)^(2/3)/b^3+6/5*a*(-a+b*x)^(5/3)/b^3+_
+     3/8*(-a+b*x)^(8/3)/b^3
+--R 
+--R
+--R            2 2                2 3+-------+2
+--R        (15b x  + 18a b x + 27a )\|b x - a
+--R   (2)  ------------------------------------
+--R                           3
+--R                        40b
+--R                                                    Type: Expression(Integer)
+--E 2042
+
+--S 2043 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 2                2 3+-------+2
+--R        (15b x  + 18a b x + 27a )\|b x - a
+--R   (3)  ------------------------------------
+--R                           3
+--R                        40b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2043
+
+--S 2044 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2044
+
+--S 2045 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2045
+
+)clear all
+
+--S 2046 of 3330
+t0000:=x/(-a+b*x)^(1/3)
+--R 
+--R
+--R             x
+--R   (1)  ----------
+--R        3+-------+
+--R        \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 2046
+
+--S 2047 of 3330
+r0000:=3/2*a*(-a+b*x)^(2/3)/b^2+3/5*(-a+b*x)^(5/3)/b^2
+--R 
+--R
+--R                   3+-------+2
+--R        (6b x + 9a)\|b x - a
+--R   (2)  ----------------------
+--R                    2
+--R                 10b
+--R                                                    Type: Expression(Integer)
+--E 2047
+
+--S 2048 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                   3+-------+2
+--R        (6b x + 9a)\|b x - a
+--R   (3)  ----------------------
+--R                    2
+--R                 10b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2048
+
+--S 2049 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2049
+
+--S 2050 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2050
+
+)clear all
+
+--S 2051 of 3330
+t0000:=1/(-a+b*x)^(1/3)
+--R 
+--R
+--R             1
+--R   (1)  ----------
+--R        3+-------+
+--R        \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 2051
+
+--S 2052 of 3330
+r0000:=3/2*(-a+b*x)^(2/3)/b
+--R 
+--R
+--R         3+-------+2
+--R        3\|b x - a
+--R   (2)  ------------
+--R             2b
+--R                                                    Type: Expression(Integer)
+--E 2052
+
+--S 2053 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R         3+-------+2
+--R        3\|b x - a
+--R   (3)  ------------
+--R             2b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2053
+
+--S 2054 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2054
+
+--S 2055 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2055
+
+)clear all
+
+--S 2056 of 3330
+t0000:=1/(x*(-a+b*x)^(1/3))
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R         3+-------+
+--R        x\|b x - a
+--R                                                    Type: Expression(Integer)
+--E 2056
+
+--S 2057 of 3330
+r0000:=-log(a^(1/3)+(-a+b*x)^(1/3))/a^(1/3)+1/2*log(a^(2/3)-_
+     a^(1/3)*(-a+b*x)^(1/3)+(-a+b*x)^(2/3))/a^(1/3)-_
+     atan((a^(1/3)-2*(-a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))*sqrt(3)/a^(1/3)
+--R 
+--R
+--R   (2)
+--R           3+-------+2   3+-+3+-------+   3+-+2         3+-------+   3+-+
+--R       log(\|b x - a   - \|a \|b x - a  + \|a  ) - 2log(\|b x - a  + \|a )
+--R     + 
+--R                  3+-------+   3+-+
+--R         +-+     2\|b x - a  - \|a
+--R       2\|3 atan(------------------)
+--R                       +-+3+-+
+--R                      \|3 \|a
+--R  /
+--R      3+-+
+--R     2\|a
+--R                                                    Type: Expression(Integer)
+--E 2057
+
+--S 2058 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             3+---+3+-------+2   3+---+2 3+-------+
+--R       - log(\|- a \|b x - a   + \|- a   \|b x - a - a)
+--R     + 
+--R                                                3+---+2 3+-------+
+--R            3+---+2 3+-------+         +-+     2\|- a   \|b x - a - a
+--R       2log(\|- a   \|b x - a + a) - 2\|3 atan(----------------------)
+--R                                                          +-+
+--R                                                        a\|3
+--R  /
+--R      3+---+
+--R     2\|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2058
+
+--S 2059 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R         3+-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - \|a log(\|- a \|b x - a   + \|- a   \|b x - a - a)
+--R     + 
+--R         3+---+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - \|- a log(\|b x - a   - \|a \|b x - a  + \|a  )
+--R     + 
+--R        3+-+    3+---+2 3+-------+        3+---+    3+-------+   3+-+
+--R       2\|a log(\|- a   \|b x - a + a) + 2\|- a log(\|b x - a  + \|a )
+--R     + 
+--R                        3+---+2 3+-------+
+--R           +-+3+-+     2\|- a   \|b x - a - a
+--R       - 2\|3 \|a atan(----------------------)
+--R                                  +-+
+--R                                a\|3
+--R     + 
+--R                          3+-------+   3+-+
+--R           +-+3+---+     2\|b x - a  - \|a
+--R       - 2\|3 \|- a atan(------------------)
+--R                               +-+3+-+
+--R                              \|3 \|a
+--R  /
+--R      3+---+3+-+
+--R     2\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 2059
+
+--S 2060 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2060
+
+)clear all
+
+--S 2061 of 3330
+t0000:=1/(x^2*(-a+b*x)^(1/3))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R         2 3+-------+
+--R        x  \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 2061
+
+--S 2062 of 3330
+r0000:=(-a+b*x)^(2/3)/(a*x)-1/3*b*log(a^(1/3)+(-a+b*x)^(1/3))/a^(4/3)+_
+     1/6*b*log(a^(2/3)-a^(1/3)*(-a+b*x)^(1/3)+(-a+b*x)^(2/3))/a^(4/3)-_
+     b*atan((a^(1/3)-2*(-a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/(a^(4/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R           +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       b x\|3 log(\|b x - a   - \|a \|b x - a  + \|a  )
+--R     + 
+--R                                                     3+-------+   3+-+
+--R              +-+    3+-------+   3+-+              2\|b x - a  - \|a
+--R       - 2b x\|3 log(\|b x - a  + \|a ) + 6b x atan(------------------)
+--R                                                          +-+3+-+
+--R                                                         \|3 \|a
+--R     + 
+--R         +-+3+-+3+-------+2
+--R       6\|3 \|a \|b x - a
+--R  /
+--R          +-+3+-+
+--R     6a x\|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 2062
+
+--S 2063 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             +-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - b x\|3 log(\|- a \|b x - a   + \|- a   \|b x - a - a)
+--R     + 
+--R            +-+    3+---+2 3+-------+
+--R       2b x\|3 log(\|- a   \|b x - a + a)
+--R     + 
+--R                     +-+3+---+2 3+-------+    +-+
+--R                   2\|3 \|- a   \|b x - a - a\|3       +-+3+---+3+-------+2
+--R       - 6b x atan(------------------------------) + 6\|3 \|- a \|b x - a
+--R                                 3a
+--R  /
+--R          +-+3+---+
+--R     6a x\|3 \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2063
+
+--S 2064 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R           +-+3+-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - b\|3 \|a log(\|- a \|b x - a   + \|- a   \|b x - a - a)
+--R     + 
+--R           +-+3+---+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - b\|3 \|- a log(\|b x - a   - \|a \|b x - a  + \|a  )
+--R     + 
+--R          +-+3+-+    3+---+2 3+-------+          +-+3+---+    3+-------+   3+-+
+--R       2b\|3 \|a log(\|- a   \|b x - a + a) + 2b\|3 \|- a log(\|b x - a  + \|a )
+--R     + 
+--R                      +-+3+---+2 3+-------+    +-+
+--R           3+-+     2\|3 \|- a   \|b x - a - a\|3
+--R       - 6b\|a atan(------------------------------)
+--R                                  3a
+--R     + 
+--R                       3+-------+   3+-+
+--R           3+---+     2\|b x - a  - \|a
+--R       - 6b\|- a atan(------------------)
+--R                            +-+3+-+
+--R                           \|3 \|a
+--R  /
+--R        +-+3+---+3+-+
+--R     6a\|3 \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 2064
+
+--S 2065 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2065
+
+)clear all
+
+--S 2066 of 3330
+t0000:=1/(x^3*(-a+b*x)^(1/3))
+--R 
+--R
+--R              1
+--R   (1)  ------------
+--R         3 3+-------+
+--R        x  \|b x - a
+--R                                                    Type: Expression(Integer)
+--E 2066
+
+--S 2067 of 3330
+r0000:=1/2*(-a+b*x)^(2/3)/(a*x^2)+2/3*b*(-a+b*x)^(2/3)/(a^2*x)-_
+     2/9*b^2*log(a^(1/3)+(-a+b*x)^(1/3))/a^(7/3)+1/9*b^2*log(a^(2/3)-_
+     a^(1/3)*(-a+b*x)^(1/3)+(-a+b*x)^(2/3))/a^(7/3)-_
+     2/3*b^2*atan((a^(1/3)-2*(-a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/_
+     (a^(7/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R         2 2 +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       2b x \|3 log(\|b x - a   - \|a \|b x - a  + \|a  )
+--R     + 
+--R                                                       3+-------+   3+-+
+--R           2 2 +-+    3+-------+   3+-+       2 2     2\|b x - a  - \|a
+--R       - 4b x \|3 log(\|b x - a  + \|a ) + 12b x atan(------------------)
+--R                                                            +-+3+-+
+--R                                                           \|3 \|a
+--R     + 
+--R                    +-+3+-+3+-------+2
+--R       (12b x + 9a)\|3 \|a \|b x - a
+--R  /
+--R        2 2 +-+3+-+
+--R     18a x \|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 2067
+
+--S 2068 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           2 2 +-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - 2b x \|3 log(\|- a \|b x - a   + \|- a   \|b x - a - a)
+--R     + 
+--R         2 2 +-+    3+---+2 3+-------+
+--R       4b x \|3 log(\|- a   \|b x - a + a)
+--R     + 
+--R                      +-+3+---+2 3+-------+    +-+
+--R            2 2     2\|3 \|- a   \|b x - a - a\|3
+--R       - 12b x atan(------------------------------)
+--R                                  3a
+--R     + 
+--R                    +-+3+---+3+-------+2
+--R       (12b x + 9a)\|3 \|- a \|b x - a
+--R  /
+--R        2 2 +-+3+---+
+--R     18a x \|3 \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2068
+
+--S 2069 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R          2 +-+3+-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - b \|3 \|a log(\|- a \|b x - a   + \|- a   \|b x - a - a)
+--R     + 
+--R          2 +-+3+---+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - b \|3 \|- a log(\|b x - a   - \|a \|b x - a  + \|a  )
+--R     + 
+--R         2 +-+3+-+    3+---+2 3+-------+
+--R       2b \|3 \|a log(\|- a   \|b x - a + a)
+--R     + 
+--R         2 +-+3+---+    3+-------+   3+-+
+--R       2b \|3 \|- a log(\|b x - a  + \|a )
+--R     + 
+--R                        +-+3+---+2 3+-------+    +-+
+--R           2 3+-+     2\|3 \|- a   \|b x - a - a\|3
+--R       - 6b  \|a atan(------------------------------)
+--R                                    3a
+--R     + 
+--R                         3+-------+   3+-+
+--R           2 3+---+     2\|b x - a  - \|a
+--R       - 6b  \|- a atan(------------------)
+--R                              +-+3+-+
+--R                             \|3 \|a
+--R  /
+--R       2 +-+3+---+3+-+
+--R     9a \|3 \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 2069
+
+--S 2070 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2070
+
+)clear all
+
+--S 2071 of 3330
+t0000:=x^3/(a+b*x)^(2/3)
+--R 
+--R
+--R              3
+--R             x
+--R   (1)  -----------
+--R        3+-------+2
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2071
+
+--S 2072 of 3330
+r0000:=-3*a^3*(a+b*x)^(1/3)/b^4+9/4*a^2*(a+b*x)^(4/3)/b^4-_
+     9/7*a*(a+b*x)^(7/3)/b^4+3/10*(a+b*x)^(10/3)/b^4
+--R 
+--R
+--R            3 3        2 2      2          3 3+-------+
+--R        (42b x  - 54a b x  + 81a b x - 243a )\|b x + a
+--R   (2)  -----------------------------------------------
+--R                                 4
+--R                             140b
+--R                                                    Type: Expression(Integer)
+--E 2072
+
+--S 2073 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 3        2 2      2          3 3+-------+
+--R        (42b x  - 54a b x  + 81a b x - 243a )\|b x + a
+--R   (3)  -----------------------------------------------
+--R                                 4
+--R                             140b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2073
+
+--S 2074 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2074
+
+--S 2075 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2075
+
+)clear all
+
+--S 2076 of 3330
+t0000:=x^2/(a+b*x)^(2/3)
+--R 
+--R
+--R              2
+--R             x
+--R   (1)  -----------
+--R        3+-------+2
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2076
+
+--S 2077 of 3330
+r0000:=3*a^2*(a+b*x)^(1/3)/b^3-3/2*a*(a+b*x)^(4/3)/b^3+3/7*(a+b*x)^(7/3)/b^3
+--R 
+--R
+--R           2 2               2 3+-------+
+--R        (6b x  - 9a b x + 27a )\|b x + a
+--R   (2)  ---------------------------------
+--R                          3
+--R                       14b
+--R                                                    Type: Expression(Integer)
+--E 2077
+
+--S 2078 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2               2 3+-------+
+--R        (6b x  - 9a b x + 27a )\|b x + a
+--R   (3)  ---------------------------------
+--R                          3
+--R                       14b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2078
+
+--S 2079 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2079
+
+--S 2080 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2080
+
+)clear all
+
+--S 2081 of 3330
+t0000:=x/(a+b*x)^(2/3)
+--R 
+--R
+--R             x
+--R   (1)  -----------
+--R        3+-------+2
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2081
+
+--S 2082 of 3330
+r0000:=-3*a*(a+b*x)^(1/3)/b^2+3/4*(a+b*x)^(4/3)/b^2
+--R 
+--R
+--R                   3+-------+
+--R        (3b x - 9a)\|b x + a
+--R   (2)  ---------------------
+--R                   2
+--R                 4b
+--R                                                    Type: Expression(Integer)
+--E 2082
+
+--S 2083 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                   3+-------+
+--R        (3b x - 9a)\|b x + a
+--R   (3)  ---------------------
+--R                   2
+--R                 4b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2083
+
+--S 2084 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2084
+
+--S 2085 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2085
+
+)clear all
+
+--S 2086 of 3330
+t0000:=1/(a+b*x)^(2/3)
+--R 
+--R
+--R             1
+--R   (1)  -----------
+--R        3+-------+2
+--R        \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2086
+
+--S 2087 of 3330
+r0000:=3*(a+b*x)^(1/3)/b
+--R 
+--R
+--R         3+-------+
+--R        3\|b x + a
+--R   (2)  -----------
+--R             b
+--R                                                    Type: Expression(Integer)
+--E 2087
+
+--S 2088 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R         3+-------+
+--R        3\|b x + a
+--R   (3)  -----------
+--R             b
+--R                                         Type: Union(Expression(Integer),...)
+--E 2088
+
+--S 2089 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2089
+
+--S 2090 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2090
+
+)clear all
+
+--S 2091 of 3330
+t0000:=1/(x*(a+b*x)^(2/3))
+--R 
+--R
+--R              1
+--R   (1)  -------------
+--R          3+-------+2
+--R        x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2091
+
+--S 2092 of 3330
+r0000:=log(a^(1/3)-(a+b*x)^(1/3))/a^(2/3)-1/2*log(a^(2/3)+_
+     a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(2/3)-_
+     atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))*sqrt(3)/a^(2/3)
+--R 
+--R
+--R   (2)
+--R             3+-------+2   3+-+3+-------+   3+-+2           3+-------+   3+-+
+--R       - log(\|b x + a   + \|a \|b x + a  + \|a  ) + 2log(- \|b x + a  + \|a )
+--R     + 
+--R                    3+-------+   3+-+
+--R           +-+     2\|b x + a  + \|a
+--R       - 2\|3 atan(------------------)
+--R                         +-+3+-+
+--R                        \|3 \|a
+--R  /
+--R      3+-+2
+--R     2\|a
+--R                                                    Type: Expression(Integer)
+--E 2092
+
+--S 2093 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              +--+2                +--+
+--R             3| 2   3+-------+2   3| 2 3+-------+    2
+--R       - log(\|a    \|b x + a  + a\|a  \|b x + a  + a )
+--R     + 
+--R                                               +--+
+--R             +--+                             3| 2 3+-------+
+--R            3| 2 3+-------+          +-+     2\|a  \|b x + a  + a
+--R       2log(\|a  \|b x + a  - a) - 2\|3 atan(--------------------)
+--R                                                       +-+
+--R                                                     a\|3
+--R  /
+--R       +--+
+--R      3| 2
+--R     2\|a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2093
+
+--S 2094 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                   +--+2                +--+
+--R         3+-+2    3| 2   3+-------+2   3| 2 3+-------+    2
+--R       - \|a  log(\|a    \|b x + a  + a\|a  \|b x + a  + a )
+--R     + 
+--R        +--+
+--R       3| 2     3+-------+2   3+-+3+-------+   3+-+2
+--R       \|a  log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                  +--+                    +--+
+--R        3+-+2    3| 2 3+-------+         3| 2       3+-------+   3+-+
+--R       2\|a  log(\|a  \|b x + a  - a) - 2\|a  log(- \|b x + a  + \|a )
+--R     + 
+--R                        +--+
+--R                       3| 2 3+-------+              +--+      3+-------+   3+-+
+--R         +-+3+-+2     2\|a  \|b x + a  + a      +-+3| 2      2\|b x + a  + \|a
+--R     - 2\|3 \|a  atan(--------------------) + 2\|3 \|a  atan(------------------)
+--R                                +-+                                +-+3+-+
+--R                              a\|3                                \|3 \|a
+--R  /
+--R             +--+
+--R      3+-+2 3| 2
+--R     2\|a   \|a
+--R                                                    Type: Expression(Integer)
+--E 2094
+
+--S 2095 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2095
+
+)clear all
+
+--S 2096 of 3330
+t0000:=1/(x^2*(a+b*x)^(2/3))
+--R 
+--R
+--R              1
+--R   (1)  -------------
+--R         2 3+-------+2
+--R        x  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2096
+
+--S 2097 of 3330
+r0000:=-(a+b*x)^(1/3)/(a*x)-2/3*b*log(a^(1/3)-(a+b*x)^(1/3))/a^(5/3)+_
+     1/3*b*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(5/3)+_
+     2*b*atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/(a^(5/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R           +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       b x\|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                       3+-------+   3+-+
+--R              +-+      3+-------+   3+-+              2\|b x + a  + \|a
+--R       - 2b x\|3 log(- \|b x + a  + \|a ) + 6b x atan(------------------)
+--R                                                            +-+3+-+
+--R                                                           \|3 \|a
+--R     + 
+--R           +-+3+-+2 3+-------+
+--R       - 3\|3 \|a   \|b x + a
+--R  /
+--R          +-+3+-+2
+--R     3a x\|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 2097
+
+--S 2098 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                     +----+2                +----+
+--R             +-+    3|   2   3+-------+2   3|   2 3+-------+    2
+--R       - b x\|3 log(\|- a    \|b x + a  - a\|- a  \|b x + a  + a )
+--R     + 
+--R                    +----+
+--R            +-+    3|   2 3+-------+
+--R       2b x\|3 log(\|- a  \|b x + a  + a)
+--R     + 
+--R                       +----+
+--R                   +-+3|   2 3+-------+     +-+          +----+
+--R                 2\|3 \|- a  \|b x + a  - a\|3       +-+3|   2 3+-------+
+--R       6b x atan(------------------------------) - 3\|3 \|- a  \|b x + a
+--R                               3a
+--R  /
+--R              +----+
+--R          +-+3|   2
+--R     3a x\|3 \|- a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2098
+
+--S 2099 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                        +----+2                +----+
+--R           +-+3+-+2    3|   2   3+-------+2   3|   2 3+-------+    2
+--R       - b\|3 \|a  log(\|- a    \|b x + a  - a\|- a  \|b x + a  + a )
+--R     + 
+--R               +----+
+--R           +-+3|   2     3+-------+2   3+-+3+-------+   3+-+2
+--R       - b\|3 \|- a  log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                       +----+
+--R          +-+3+-+2    3|   2 3+-------+
+--R       2b\|3 \|a  log(\|- a  \|b x + a  + a)
+--R     + 
+--R              +----+
+--R          +-+3|   2       3+-------+   3+-+
+--R       2b\|3 \|- a  log(- \|b x + a  + \|a )
+--R     + 
+--R                          +----+
+--R                      +-+3|   2 3+-------+     +-+
+--R          3+-+2     2\|3 \|- a  \|b x + a  - a\|3
+--R       6b \|a  atan(------------------------------)
+--R                                  3a
+--R     + 
+--R            +----+      3+-------+   3+-+
+--R           3|   2      2\|b x + a  + \|a
+--R       - 6b\|- a  atan(------------------)
+--R                             +-+3+-+
+--R                            \|3 \|a
+--R  /
+--R            +----+
+--R        +-+3|   2 3+-+2
+--R     3a\|3 \|- a  \|a
+--R                                                    Type: Expression(Integer)
+--E 2099
+
+--S 2100 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2100
+
+)clear all
+
+--S 2101 of 3330
+t0000:=1/(x^3*(a+b*x)^(2/3))
+--R 
+--R
+--R              1
+--R   (1)  -------------
+--R         3 3+-------+2
+--R        x  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2101
+
+--S 2102 of 3330
+r0000:=-1/2*(a+b*x)^(1/3)/(a*x^2)+5/6*b*(a+b*x)^(1/3)/(a^2*x)+_
+     5/9*b^2*log(a^(1/3)-(a+b*x)^(1/3))/a^(8/3)-_
+     5/18*b^2*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(8/3)-_
+     5/3*b^2*atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/_
+     (a^(8/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R           2 2 +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - 5b x \|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                                                        3+-------+   3+-+
+--R          2 2 +-+      3+-------+   3+-+       2 2     2\|b x + a  + \|a
+--R       10b x \|3 log(- \|b x + a  + \|a ) - 30b x atan(------------------)
+--R                                                             +-+3+-+
+--R                                                            \|3 \|a
+--R     + 
+--R                    +-+3+-+2 3+-------+
+--R       (15b x - 9a)\|3 \|a   \|b x + a
+--R  /
+--R        2 2 +-+3+-+2
+--R     18a x \|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 2102
+
+--S 2103 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                       +--+2                +--+
+--R           2 2 +-+    3| 2   3+-------+2   3| 2 3+-------+    2
+--R       - 5b x \|3 log(\|a    \|b x + a  + a\|a  \|b x + a  + a )
+--R     + 
+--R                      +--+
+--R          2 2 +-+    3| 2 3+-------+
+--R       10b x \|3 log(\|a  \|b x + a  - a)
+--R     + 
+--R                          +--+
+--R                      +-+3| 2 3+-------+     +-+
+--R            2 2     2\|3 \|a  \|b x + a  + a\|3
+--R       - 30b x atan(----------------------------)
+--R                                 3a
+--R     + 
+--R                        +--+
+--R                    +-+3| 2 3+-------+
+--R       (15b x - 9a)\|3 \|a  \|b x + a
+--R  /
+--R                +--+
+--R        2 2 +-+3| 2
+--R     18a x \|3 \|a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2103
+
+--S 2104 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                          +--+2                +--+
+--R           2 +-+3+-+2    3| 2   3+-------+2   3| 2 3+-------+    2
+--R       - 5b \|3 \|a  log(\|a    \|b x + a  + a\|a  \|b x + a  + a )
+--R     + 
+--R               +--+
+--R         2 +-+3| 2     3+-------+2   3+-+3+-------+   3+-+2
+--R       5b \|3 \|a  log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R                         +--+
+--R          2 +-+3+-+2    3| 2 3+-------+
+--R       10b \|3 \|a  log(\|a  \|b x + a  - a)
+--R     + 
+--R                  +--+
+--R            2 +-+3| 2       3+-------+   3+-+
+--R       - 10b \|3 \|a  log(- \|b x + a  + \|a )
+--R     + 
+--R                              +--+
+--R                          +-+3| 2 3+-------+     +-+
+--R            2 3+-+2     2\|3 \|a  \|b x + a  + a\|3
+--R       - 30b  \|a  atan(----------------------------)
+--R                                     3a
+--R     + 
+--R             +--+      3+-------+   3+-+
+--R          2 3| 2      2\|b x + a  + \|a
+--R       30b  \|a  atan(------------------)
+--R                            +-+3+-+
+--R                           \|3 \|a
+--R  /
+--R                    +--+
+--R        2 +-+3+-+2 3| 2
+--R     18a \|3 \|a   \|a
+--R                                                    Type: Expression(Integer)
+--E 2104
+
+--S 2105 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2105
+
+)clear all
+
+--S 2106 of 3330
+t0000:=x^3/(a+b*x)^(4/3)
+--R 
+--R
+--R                  3
+--R                 x
+--R   (1)  -------------------
+--R                 3+-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2106
+
+--S 2107 of 3330
+r0000:=3*a^3/(b^4*(a+b*x)^(1/3))+9/2*a^2*(a+b*x)^(2/3)/b^4-_
+     9/5*a*(a+b*x)^(5/3)/b^4+3/8*(a+b*x)^(8/3)/b^4
+--R 
+--R
+--R           3 3        2 2      2          3
+--R        15b x  - 27a b x  + 81a b x + 243a
+--R   (2)  -----------------------------------
+--R                      4 3+-------+
+--R                   40b  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2107
+
+--S 2108 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           3 3        2 2      2          3
+--R        15b x  - 27a b x  + 81a b x + 243a
+--R   (3)  -----------------------------------
+--R                      4 3+-------+
+--R                   40b  \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2108
+
+--S 2109 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2109
+
+--S 2110 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2110
+
+)clear all
+
+--S 2111 of 3330
+t0000:=x^2/(a+b*x)^(4/3)
+--R 
+--R
+--R                  2
+--R                 x
+--R   (1)  -------------------
+--R                 3+-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2111
+
+--S 2112 of 3330
+r0000:=-3*a^2/(b^3*(a+b*x)^(1/3))-3*a*(a+b*x)^(2/3)/b^3+3/5*(a+b*x)^(5/3)/b^3
+--R 
+--R
+--R          2 2               2
+--R        3b x  - 9a b x - 27a
+--R   (2)  ---------------------
+--R              3 3+-------+
+--R            5b  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2112
+
+--S 2113 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2 2               2
+--R        3b x  - 9a b x - 27a
+--R   (3)  ---------------------
+--R              3 3+-------+
+--R            5b  \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2113
+
+--S 2114 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2114
+
+--S 2115 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2115
+
+)clear all
+
+--S 2116 of 3330
+t0000:=x/(a+b*x)^(4/3)
+--R 
+--R
+--R                 x
+--R   (1)  -------------------
+--R                 3+-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2116
+
+--S 2117 of 3330
+r0000:=3*a/(b^2*(a+b*x)^(1/3))+3/2*(a+b*x)^(2/3)/b^2
+--R 
+--R
+--R          3b x + 9a
+--R   (2)  -------------
+--R          2 3+-------+
+--R        2b  \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2117
+
+--S 2118 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3b x + 9a
+--R   (3)  -------------
+--R          2 3+-------+
+--R        2b  \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2118
+
+--S 2119 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2119
+
+--S 2120 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2120
+
+)clear all
+
+--S 2121 of 3330
+t0000:=1/(a+b*x)^(4/3)
+--R 
+--R
+--R                 1
+--R   (1)  -------------------
+--R                 3+-------+
+--R        (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2121
+
+--S 2122 of 3330
+r0000:=(-3)/(b*(a+b*x)^(1/3))
+--R 
+--R
+--R               3
+--R   (2)  - -----------
+--R           3+-------+
+--R          b\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2122
+
+--S 2123 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R               3
+--R   (3)  - -----------
+--R           3+-------+
+--R          b\|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2123
+
+--S 2124 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2124
+
+--S 2125 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2125
+
+)clear all
+
+--S 2126 of 3330
+t0000:=1/(x*(a+b*x)^(4/3))
+--R 
+--R
+--R                   1
+--R   (1)  ----------------------
+--R            2       3+-------+
+--R        (b x  + a x)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2126
+
+--S 2127 of 3330
+r0000:=3/(a*(a+b*x)^(1/3))+log(a^(1/3)-(a+b*x)^(1/3))/a^(4/3)-_
+     1/2*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+(a+b*x)^(2/3))/a^(4/3)+_
+     atan((a^(1/3)+2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))*sqrt(3)/a^(4/3)
+--R 
+--R
+--R   (2)
+--R         3+-------+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - \|b x + a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R        3+-------+      3+-------+   3+-+
+--R       2\|b x + a log(- \|b x + a  + \|a )
+--R     + 
+--R                            3+-------+   3+-+
+--R         +-+3+-------+     2\|b x + a  + \|a      3+-+
+--R       2\|3 \|b x + a atan(------------------) + 6\|a
+--R                                 +-+3+-+
+--R                                \|3 \|a
+--R  /
+--R       3+-+3+-------+
+--R     2a\|a \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2127
+
+--S 2128 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R         3+-------+    3+-+3+-------+2   3+-+2 3+-------+
+--R       - \|b x + a log(\|a \|b x + a   + \|a   \|b x + a + a)
+--R     + 
+--R        3+-------+    3+-+2 3+-------+
+--R       2\|b x + a log(\|a   \|b x + a - a)
+--R     + 
+--R                            3+-+2 3+-------+
+--R         +-+3+-------+     2\|a   \|b x + a + a     3+-+
+--R       2\|3 \|b x + a atan(--------------------) + 6\|a
+--R                                     +-+
+--R                                   a\|3
+--R  /
+--R       3+-+3+-------+
+--R     2a\|a \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2128
+
+--S 2129 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R             3+-+3+-------+2   3+-+2 3+-------+
+--R       - log(\|a \|b x + a   + \|a   \|b x + a + a)
+--R     + 
+--R           3+-------+2   3+-+3+-------+   3+-+2         3+-+2 3+-------+
+--R       log(\|b x + a   + \|a \|b x + a  + \|a  ) + 2log(\|a   \|b x + a - a)
+--R     + 
+--R                                                3+-+2 3+-------+
+--R                3+-------+   3+-+      +-+     2\|a   \|b x + a + a
+--R       - 2log(- \|b x + a  + \|a ) + 2\|3 atan(--------------------)
+--R                                                         +-+
+--R                                                       a\|3
+--R     + 
+--R                    3+-------+   3+-+
+--R           +-+     2\|b x + a  + \|a
+--R       - 2\|3 atan(------------------)
+--R                         +-+3+-+
+--R                        \|3 \|a
+--R  /
+--R       3+-+
+--R     2a\|a
+--R                                                    Type: Expression(Integer)
+--E 2129
+
+--S 2130 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2130
+
+)clear all
+
+--S 2131 of 3330
+t0000:=1/(x^2*(a+b*x)^(4/3))
+--R 
+--R
+--R                   1
+--R   (1)  -----------------------
+--R            3      2 3+-------+
+--R        (b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2131
+
+--S 2132 of 3330
+r0000:=3/(a*x*(a+b*x)^(1/3))-4*(a+b*x)^(2/3)/(a^2*x)-4/3*b*log(a^(1/3)-_
+     (a+b*x)^(1/3))/a^(7/3)+2/3*b*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+_
+     (a+b*x)^(2/3))/a^(7/3)-4*b*atan((a^(1/3)+2*(a+b*x)^(1/3))/_
+     (a^(1/3)*sqrt(3)))/(a^(7/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R            +-+3+-------+    3+-------+2   3+-+3+-------+   3+-+2
+--R       2b x\|3 \|b x + a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R              +-+3+-------+      3+-------+   3+-+
+--R       - 4b x\|3 \|b x + a log(- \|b x + a  + \|a )
+--R     + 
+--R                              3+-------+   3+-+
+--R              3+-------+     2\|b x + a  + \|a                    +-+3+-+
+--R       - 12b x\|b x + a atan(------------------) + (- 12b x - 3a)\|3 \|a
+--R                                   +-+3+-+
+--R                                  \|3 \|a
+--R  /
+--R       2  +-+3+-+3+-------+
+--R     3a x\|3 \|a \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2132
+
+--S 2133 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R              +-+3+-------+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - 2b x\|3 \|b x + a log(\|- a \|b x + a   - \|- a   \|b x + a - a)
+--R     + 
+--R            +-+3+-------+    3+---+2 3+-------+
+--R       4b x\|3 \|b x + a log(\|- a   \|b x + a - a)
+--R     + 
+--R                             +-+3+---+2 3+-------+    +-+
+--R            3+-------+     2\|3 \|- a   \|b x + a + a\|3
+--R       12b x\|b x + a atan(------------------------------)
+--R                                         3a
+--R     + 
+--R                      +-+3+---+
+--R       (- 12b x - 3a)\|3 \|- a
+--R  /
+--R       2  +-+3+---+3+-------+
+--R     3a x\|3 \|- a \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2133
+
+--S 2134 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R            +-+3+-+    3+---+3+-------+2   3+---+2 3+-------+
+--R       - 2b\|3 \|a log(\|- a \|b x + a   - \|- a   \|b x + a - a)
+--R     + 
+--R            +-+3+---+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - 2b\|3 \|- a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R          +-+3+-+    3+---+2 3+-------+
+--R       4b\|3 \|a log(\|- a   \|b x + a - a)
+--R     + 
+--R          +-+3+---+      3+-------+   3+-+
+--R       4b\|3 \|- a log(- \|b x + a  + \|a )
+--R     + 
+--R                     +-+3+---+2 3+-------+    +-+
+--R          3+-+     2\|3 \|- a   \|b x + a + a\|3
+--R       12b\|a atan(------------------------------)
+--R                                 3a
+--R     + 
+--R                      3+-------+   3+-+
+--R          3+---+     2\|b x + a  + \|a
+--R       12b\|- a atan(------------------)
+--R                           +-+3+-+
+--R                          \|3 \|a
+--R  /
+--R       2 +-+3+---+3+-+
+--R     3a \|3 \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 2134
+
+--S 2135 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2135
+
+)clear all
+
+--S 2136 of 3330
+t0000:=1/(x^3*(a+b*x)^(4/3))
+--R 
+--R
+--R                   1
+--R   (1)  -----------------------
+--R            4      3 3+-------+
+--R        (b x  + a x )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2136
+
+--S 2137 of 3330
+r0000:=3/(a*x^2*(a+b*x)^(1/3))-7/2*(a+b*x)^(2/3)/(a^2*x^2)+_
+     14/3*b*(a+b*x)^(2/3)/(a^3*x)+14/9*b^2*log(a^(1/3)-_
+     (a+b*x)^(1/3))/a^(10/3)-7/9*b^2*log(a^(2/3)+a^(1/3)*(a+b*x)^(1/3)+_
+     (a+b*x)^(2/3))/a^(10/3)+14/3*b^2*atan((a^(1/3)+_
+     2*(a+b*x)^(1/3))/(a^(1/3)*sqrt(3)))/(a^(10/3)*sqrt(3))
+--R 
+--R
+--R   (2)
+--R            2 2 +-+3+-------+    3+-------+2   3+-+3+-------+   3+-+2
+--R       - 14b x \|3 \|b x + a log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R          2 2 +-+3+-------+      3+-------+   3+-+
+--R       28b x \|3 \|b x + a log(- \|b x + a  + \|a )
+--R     + 
+--R                            3+-------+   3+-+
+--R        2 2 3+-------+     2\|b x + a  + \|a        2 2               2  +-+3+-+
+--R     84b x  \|b x + a atan(------------------ + (84b x  + 21a b x - 9a )\|3 \|a
+--R                                 +-+3+-+
+--R                                \|3 \|a
+--R  /
+--R        3 2 +-+3+-+3+-------+
+--R     18a x \|3 \|a \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2137
+
+--S 2138 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R            2 2 +-+3+-------+    3+-+3+-------+2   3+-+2 3+-------+
+--R       - 14b x \|3 \|b x + a log(\|a \|b x + a   + \|a   \|b x + a + a)
+--R     + 
+--R          2 2 +-+3+-------+    3+-+2 3+-------+
+--R       28b x \|3 \|b x + a log(\|a   \|b x + a - a)
+--R     + 
+--R                               +-+3+-+2 3+-------+    +-+
+--R          2 2 3+-------+     2\|3 \|a   \|b x + a + a\|3
+--R       84b x  \|b x + a atan(----------------------------)
+--R                                          3a
+--R     + 
+--R           2 2               2  +-+3+-+
+--R       (84b x  + 21a b x - 9a )\|3 \|a
+--R  /
+--R        3 2 +-+3+-+3+-------+
+--R     18a x \|3 \|a \|b x + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 2138
+
+--S 2139 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R           2 +-+    3+-+3+-------+2   3+-+2 3+-------+
+--R       - 7b \|3 log(\|a \|b x + a   + \|a   \|b x + a + a)
+--R     + 
+--R         2 +-+    3+-------+2   3+-+3+-------+   3+-+2
+--R       7b \|3 log(\|b x + a   + \|a \|b x + a  + \|a  )
+--R     + 
+--R          2 +-+    3+-+2 3+-------+          2 +-+      3+-------+   3+-+
+--R       14b \|3 log(\|a   \|b x + a - a) - 14b \|3 log(- \|b x + a  + \|a )
+--R     + 
+--R                  +-+3+-+2 3+-------+    +-+              3+-------+   3+-+
+--R          2     2\|3 \|a   \|b x + a + a\|3        2     2\|b x + a  + \|a
+--R       42b atan(----------------------------) - 42b atan(------------------)
+--R                             3a                                +-+3+-+
+--R                                                              \|3 \|a
+--R  /
+--R       3 +-+3+-+
+--R     9a \|3 \|a
+--R                                                    Type: Expression(Integer)
+--E 2139
+
+--S 2140 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2140
+
+)clear all
+
+--S 2141 of 3330
+t0000:=x^m*(a+b*x)
+--R 
+--R
+--R                  m
+--R   (1)  (b x + a)x
+--R                                                    Type: Expression(Integer)
+--E 2141
+
+--S 2142 of 3330
+r0000:=a*x^(1+m)/(1+m)+b*x^(2+m)/(2+m)
+--R 
+--R
+--R                  m + 2              m + 1
+--R        (b m + b)x      + (a m + 2a)x
+--R   (2)  ----------------------------------
+--R                     2
+--R                    m  + 3m + 2
+--R                                                    Type: Expression(Integer)
+--E 2142
+
+--S 2143 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                   2                 m log(x)
+--R        ((b m + b)x  + (a m + 2a)x)%e
+--R   (3)  -------------------------------------
+--R                      2
+--R                     m  + 3m + 2
+--R                                         Type: Union(Expression(Integer),...)
+--E 2143
+
+--S 2144 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R                  2                 m log(x)               m + 2
+--R       ((b m + b)x  + (a m + 2a)x)%e         + (- b m - b)x
+--R     + 
+--R                    m + 1
+--R       (- a m - 2a)x
+--R  /
+--R      2
+--R     m  + 3m + 2
+--R                                                    Type: Expression(Integer)
+--E 2144
+
+--S 2145 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R                   m log(x)      m + 1      m
+--R   (5)  (b x + a)%e         - b x      - a x
+--R                                                    Type: Expression(Integer)
+--E 2145
+
+)clear all
+
+--S 2146 of 3330
+t0000:=x^(5/2)*(a+b*x)
+--R 
+--R
+--R            3      2  +-+
+--R   (1)  (b x  + a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2146
+
+--S 2147 of 3330
+r0000:=2/7*a*x^(7/2)+2/9*b*x^(9/2)
+--R 
+--R
+--R              4        3  +-+
+--R        (14b x  + 18a x )\|x
+--R   (2)  ---------------------
+--R                  63
+--R                                                    Type: Expression(Integer)
+--E 2147
+
+--S 2148 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              4        3  +-+
+--R        (14b x  + 18a x )\|x
+--R   (3)  ---------------------
+--R                  63
+--R                                         Type: Union(Expression(Integer),...)
+--E 2148
+
+--S 2149 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R   There are 33 exposed and 3 unexposed library operations named elt 
+--R      having 2 argument(s) but none was determined to be applicable. 
+--R      Use HyperDoc Browse, or issue
+--R                               )display op elt
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named elt 
+--R      with argument type(s) 
+--R                             Expression(Integer)
+--R                               PositiveInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 2149
+
+--S 2150 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Polynomial(Integer)
+--E 2150
+
+--S 2151 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R   There are 33 exposed and 3 unexposed library operations named elt 
+--R      having 2 argument(s) but none was determined to be applicable. 
+--R      Use HyperDoc Browse, or issue
+--R                               )display op elt
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named elt 
+--R      with argument type(s) 
+--R                             Expression(Integer)
+--R                               PositiveInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 2151
+
+--S 2152 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Polynomial(Integer)
+--E 2152
+
+)clear all
+
+--S 2153 of 3330
+t0000:=x^(3/2)*(a+b*x)
+--R 
+--R
+--R            2        +-+
+--R   (1)  (b x  + a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 2153
+
+--S 2154 of 3330
+r0000:=2/5*a*x^(5/2)+2/7*b*x^(7/2)
+--R 
+--R
+--R              3        2  +-+
+--R        (10b x  + 14a x )\|x
+--R   (2)  ---------------------
+--R                  35
+--R                                                    Type: Expression(Integer)
+--E 2154
+
+--S 2155 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R              3        2  +-+
+--R        (10b x  + 14a x )\|x
+--R   (3)  ---------------------
+--R                  35
+--R                                         Type: Union(Expression(Integer),...)
+--E 2155
+
+--S 2156 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R   There are 33 exposed and 3 unexposed library operations named elt 
+--R      having 2 argument(s) but none was determined to be applicable. 
+--R      Use HyperDoc Browse, or issue
+--R                               )display op elt
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named elt 
+--R      with argument type(s) 
+--R                             Expression(Integer)
+--R                               PositiveInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 2156
+
+--S 2157 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Polynomial(Integer)
+--E 2157
+
+--S 2158 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R   There are 33 exposed and 3 unexposed library operations named elt 
+--R      having 2 argument(s) but none was determined to be applicable. 
+--R      Use HyperDoc Browse, or issue
+--R                               )display op elt
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named elt 
+--R      with argument type(s) 
+--R                             Expression(Integer)
+--R                               PositiveInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 2158
+
+--S 2159 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Polynomial(Integer)
+--E 2159
+
+)clear all
+
+--S 2160 of 3330
+t0000:=(a+b*x)*sqrt(x)
+--R 
+--R
+--R                  +-+
+--R   (1)  (b x + a)\|x
+--R                                                    Type: Expression(Integer)
+--E 2160
+
+--S 2161 of 3330
+r0000:=2/3*a*x^(3/2)+2/5*b*x^(5/2)
+--R 
+--R
+--R             2          +-+
+--R        (6b x  + 10a x)\|x
+--R   (2)  -------------------
+--R                 15
+--R                                                    Type: Expression(Integer)
+--E 2161
+
+--S 2162 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             2          +-+
+--R        (6b x  + 10a x)\|x
+--R   (3)  -------------------
+--R                 15
+--R                                         Type: Union(Expression(Integer),...)
+--E 2162
+
+--S 2163 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2163
+
+--S 2164 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2164
+
+)clear all
+
+--S 2165 of 3330
+t0000:=(a+b*x)/sqrt(x)
+--R 
+--R
+--R        b x + a
+--R   (1)  -------
+--R           +-+
+--R          \|x
+--R                                                    Type: Expression(Integer)
+--E 2165
+
+--S 2166 of 3330
+r0000:=2/3*b*x^(3/2)+2*a*sqrt(x)
+--R 
+--R
+--R                    +-+
+--R        (2b x + 6a)\|x
+--R   (2)  ---------------
+--R               3
+--R                                                    Type: Expression(Integer)
+--E 2166
+
+--S 2167 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                    +-+
+--R        (2b x + 6a)\|x
+--R   (3)  ---------------
+--R               3
+--R                                         Type: Union(Expression(Integer),...)
+--E 2167
+
+--S 2168 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2168
+
+--S 2169 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2169
+
+)clear all
+
+--S 2170 of 3330
+t0000:=(a+b*x)/x^(3/2)
+--R 
+--R
+--R        b x + a
+--R   (1)  -------
+--R           +-+
+--R         x\|x
+--R                                                    Type: Expression(Integer)
+--E 2170
+
+--S 2171 of 3330
+r0000:=-2*a/sqrt(x)+2*b*sqrt(x)
+--R 
+--R
+--R        2b x - 2a
+--R   (2)  ---------
+--R            +-+
+--R           \|x
+--R                                                    Type: Expression(Integer)
+--E 2171
+
+--S 2172 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        2b x - 2a
+--R   (3)  ---------
+--R            +-+
+--R           \|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2172
+
+--S 2173 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2173
+
+--S 2174 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2174
+
+)clear all
+
+--S 2175 of 3330
+t0000:=(a+b*x)/x^(5/2)
+--R 
+--R
+--R        b x + a
+--R   (1)  -------
+--R          2 +-+
+--R         x \|x
+--R                                                    Type: Expression(Integer)
+--E 2175
+
+--S 2176 of 3330
+r0000:=-2/3*a/x^(3/2)-2*b/sqrt(x)
+--R 
+--R
+--R        - 6b x - 2a
+--R   (2)  -----------
+--R              +-+
+--R           3x\|x
+--R                                                    Type: Expression(Integer)
+--E 2176
+
+--S 2177 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R        - 6b x - 2a
+--R   (3)  -----------
+--R              +-+
+--R           3x\|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2177
+
+--S 2178 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2178
+
+--S 2179 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2179
+
+)clear all
+
+--S 2180 of 3330
+t0000:=x^m*(a+b*x)^2
+--R 
+--R
+--R          2 2             2  m
+--R   (1)  (b x  + 2a b x + a )x
+--R                                                    Type: Expression(Integer)
+--E 2180
+
+--S 2181 of 3330
+r0000:=a^2*x^(1+m)/(1+m)+2*a*b*x^(2+m)/(2+m)+b^2*x^(3+m)/(3+m)
+--R 
+--R
+--R   (2)
+--R         2 2     2      2  m + 3          2                  m + 2
+--R       (b m  + 3b m + 2b )x      + (2a b m  + 8a b m + 6a b)x
+--R     + 
+--R         2 2     2      2  m + 1
+--R       (a m  + 5a m + 6a )x
+--R  /
+--R      3     2
+--R     m  + 6m  + 11m + 6
+--R                                                    Type: Expression(Integer)
+--E 2181
+
+--S 2182 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           2 2     2      2  3          2                  2
+--R         (b m  + 3b m + 2b )x  + (2a b m  + 8a b m + 6a b)x
+--R       + 
+--R           2 2     2      2
+--R         (a m  + 5a m + 6a )x
+--R    *
+--R         m log(x)
+--R       %e
+--R  /
+--R      3     2
+--R     m  + 6m  + 11m + 6
+--R                                         Type: Union(Expression(Integer),...)
+--E 2182
+
+--S 2183 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R             2 2     2      2  3          2                  2
+--R           (b m  + 3b m + 2b )x  + (2a b m  + 8a b m + 6a b)x
+--R         + 
+--R             2 2     2      2
+--R           (a m  + 5a m + 6a )x
+--R      *
+--R           m log(x)
+--R         %e
+--R     + 
+--R           2 2     2      2  m + 3            2                  m + 2
+--R       (- b m  - 3b m - 2b )x      + (- 2a b m  - 8a b m - 6a b)x
+--R     + 
+--R           2 2     2      2  m + 1
+--R       (- a m  - 5a m - 6a )x
+--R  /
+--R      3     2
+--R     m  + 6m  + 11m + 6
+--R                                                    Type: Expression(Integer)
+--E 2183
+
+--S 2184 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R          2 2             2   m log(x)    2 m + 2         m + 1    2 m
+--R   (5)  (b x  + 2a b x + a )%e         - b x      - 2a b x      - a x
+--R                                                    Type: Expression(Integer)
+--E 2184
+
+)clear all
+
+--S 2185 of 3330
+t0000:=x^(5/2)*(a+b*x)^2
+--R 
+--R
+--R          2 4         3    2 2  +-+
+--R   (1)  (b x  + 2a b x  + a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2185
+
+--S 2186 of 3330
+r0000:=2/7*a^2*x^(7/2)+4/9*a*b*x^(9/2)+2/11*b^2*x^(11/2)
+--R 
+--R
+--R             2 5           4       2 3  +-+
+--R        (126b x  + 308a b x  + 198a x )\|x
+--R   (2)  -----------------------------------
+--R                        693
+--R                                                    Type: Expression(Integer)
+--E 2186
+
+--S 2187 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             2 5           4       2 3  +-+
+--R        (126b x  + 308a b x  + 198a x )\|x
+--R   (3)  -----------------------------------
+--R                        693
+--R                                         Type: Union(Expression(Integer),...)
+--E 2187
+
+--S 2188 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2188
+
+--S 2189 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2189
+
+)clear all
+
+--S 2190 of 3330
+t0000:=x^(3/2)*(a+b*x)^2
+--R 
+--R
+--R          2 3         2    2   +-+
+--R   (1)  (b x  + 2a b x  + a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 2190
+
+--S 2191 of 3330
+r0000:=2/5*a^2*x^(5/2)+4/7*a*b*x^(7/2)+2/9*b^2*x^(9/2)
+--R 
+--R
+--R            2 4           3       2 2  +-+
+--R        (70b x  + 180a b x  + 126a x )\|x
+--R   (2)  ----------------------------------
+--R                        315
+--R                                                    Type: Expression(Integer)
+--E 2191
+
+--S 2192 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 4           3       2 2  +-+
+--R        (70b x  + 180a b x  + 126a x )\|x
+--R   (3)  ----------------------------------
+--R                        315
+--R                                         Type: Union(Expression(Integer),...)
+--E 2192
+
+--S 2193 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2193
+
+--S 2194 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2194
+
+)clear all
+
+--S 2195 of 3330
+t0000:=(a+b*x)^2*sqrt(x)
+--R 
+--R
+--R          2 2             2  +-+
+--R   (1)  (b x  + 2a b x + a )\|x
+--R                                                    Type: Expression(Integer)
+--E 2195
+
+--S 2196 of 3330
+r0000:=2/3*a^2*x^(3/2)+4/5*a*b*x^(5/2)+2/7*b^2*x^(7/2)
+--R 
+--R
+--R            2 3          2      2   +-+
+--R        (30b x  + 84a b x  + 70a x)\|x
+--R   (2)  -------------------------------
+--R                      105
+--R                                                    Type: Expression(Integer)
+--E 2196
+
+--S 2197 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            2 3          2      2   +-+
+--R        (30b x  + 84a b x  + 70a x)\|x
+--R   (3)  -------------------------------
+--R                      105
+--R                                         Type: Union(Expression(Integer),...)
+--E 2197
+
+--S 2198 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2198
+
+--S 2199 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2199
+
+)clear all
+
+--S 2200 of 3330
+t0000:=(a+b*x)^2/sqrt(x)
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                +-+
+--R               \|x
+--R                                                    Type: Expression(Integer)
+--E 2200
+
+--S 2201 of 3330
+r0000:=4/3*a*b*x^(3/2)+2/5*b^2*x^(5/2)+2*a^2*sqrt(x)
+--R 
+--R
+--R           2 2                2  +-+
+--R        (6b x  + 20a b x + 30a )\|x
+--R   (2)  ----------------------------
+--R                     15
+--R                                                    Type: Expression(Integer)
+--E 2201
+
+--S 2202 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2                2  +-+
+--R        (6b x  + 20a b x + 30a )\|x
+--R   (3)  ----------------------------
+--R                     15
+--R                                         Type: Union(Expression(Integer),...)
+--E 2202
+
+--S 2203 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2203
+
+--S 2204 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2204
+
+)clear all
+
+--S 2205 of 3330
+t0000:=(a+b*x)^2/x^(3/2)
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R                 +-+
+--R               x\|x
+--R                                                    Type: Expression(Integer)
+--E 2205
+
+--S 2206 of 3330
+r0000:=2/3*b^2*x^(3/2)-2*a^2/sqrt(x)+4*a*b*sqrt(x)
+--R 
+--R
+--R          2 2               2
+--R        2b x  + 12a b x - 6a
+--R   (2)  ---------------------
+--R                  +-+
+--R                3\|x
+--R                                                    Type: Expression(Integer)
+--E 2206
+
+--S 2207 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2 2               2
+--R        2b x  + 12a b x - 6a
+--R   (3)  ---------------------
+--R                  +-+
+--R                3\|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2207
+
+--S 2208 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2208
+
+--S 2209 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2209
+
+)clear all
+
+--S 2210 of 3330
+t0000:=(a+b*x)^2/x^(5/2)
+--R 
+--R
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R   (1)  ------------------
+--R               2 +-+
+--R              x \|x
+--R                                                    Type: Expression(Integer)
+--E 2210
+
+--S 2211 of 3330
+r0000:=-2/3*a^2/x^(3/2)-4*a*b/sqrt(x)+2*b^2*sqrt(x)
+--R 
+--R
+--R          2 2               2
+--R        6b x  - 12a b x - 2a
+--R   (2)  ---------------------
+--R                   +-+
+--R                3x\|x
+--R                                                    Type: Expression(Integer)
+--E 2211
+
+--S 2212 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          2 2               2
+--R        6b x  - 12a b x - 2a
+--R   (3)  ---------------------
+--R                   +-+
+--R                3x\|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2212
+
+--S 2213 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2213
+
+--S 2214 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2214
+
+)clear all
+
+--S 2215 of 3330
+t0000:=x^m*(a+b*x)^3
+--R 
+--R
+--R          3 3       2 2     2       3  m
+--R   (1)  (b x  + 3a b x  + 3a b x + a )x
+--R                                                    Type: Expression(Integer)
+--E 2215
+
+--S 2216 of 3330
+r0000:=a^3*x^(1+m)/(1+m)+3*a^2*b*x^(2+m)/(2+m)+3*a*b^2*x^(3+m)/(3+m)+_
+     b^3*x^(4+m)/(4+m)
+--R 
+--R
+--R   (2)
+--R         3 3     3 2      3      3  m + 4
+--R       (b m  + 6b m  + 11b m + 6b )x
+--R     + 
+--R            2 3        2 2        2         2  m + 3
+--R       (3a b m  + 21a b m  + 42a b m + 24a b )x
+--R     + 
+--R          2   3      2   2      2         2   m + 2
+--R       (3a b m  + 24a b m  + 57a b m + 36a b)x
+--R     + 
+--R         3 3     3 2      3       3  m + 1
+--R       (a m  + 9a m  + 26a m + 24a )x
+--R  /
+--R      4      3      2
+--R     m  + 10m  + 35m  + 50m + 24
+--R                                                    Type: Expression(Integer)
+--E 2216
+
+--S 2217 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           3 3     3 2      3      3  4
+--R         (b m  + 6b m  + 11b m + 6b )x
+--R       + 
+--R              2 3        2 2        2         2  3
+--R         (3a b m  + 21a b m  + 42a b m + 24a b )x
+--R       + 
+--R          2   3      2   2      2         2   2     3 3     3 2      3       3
+--R       (3a b m  + 24a b m  + 57a b m + 36a b)x  + (a m  + 9a m  + 26a m + 24a )x
+--R    *
+--R         m log(x)
+--R       %e
+--R  /
+--R      4      3      2
+--R     m  + 10m  + 35m  + 50m + 24
+--R                                         Type: Union(Expression(Integer),...)
+--E 2217
+
+--S 2218 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R             3 3     3 2      3      3  4
+--R           (b m  + 6b m  + 11b m + 6b )x
+--R         + 
+--R                2 3        2 2        2         2  3
+--R           (3a b m  + 21a b m  + 42a b m + 24a b )x
+--R         + 
+--R              2   3      2   2      2         2   2
+--R           (3a b m  + 24a b m  + 57a b m + 36a b)x
+--R         + 
+--R             3 3     3 2      3       3
+--R           (a m  + 9a m  + 26a m + 24a )x
+--R      *
+--R           m log(x)
+--R         %e
+--R     + 
+--R           3 3     3 2      3      3  m + 4
+--R       (- b m  - 6b m  - 11b m - 6b )x
+--R     + 
+--R              2 3        2 2        2         2  m + 3
+--R       (- 3a b m  - 21a b m  - 42a b m - 24a b )x
+--R     + 
+--R            2   3      2   2      2         2   m + 2
+--R       (- 3a b m  - 24a b m  - 57a b m - 36a b)x
+--R     + 
+--R           3 3     3 2      3       3  m + 1
+--R       (- a m  - 9a m  - 26a m - 24a )x
+--R  /
+--R      4      3      2
+--R     m  + 10m  + 35m  + 50m + 24
+--R                                                    Type: Expression(Integer)
+--E 2218
+
+--S 2219 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)
+--R       3 3       2 2     2       3   m log(x)    3 m + 3       2 m + 2
+--R     (b x  + 3a b x  + 3a b x + a )%e         - b x      - 3a b x
+--R   + 
+--R         2   m + 1    3 m
+--R     - 3a b x      - a x
+--R                                                    Type: Expression(Integer)
+--E 2219
+
+)clear all
+
+--S 2220 of 3330
+t0000:=x^(5/2)*(a+b*x)^3
+--R 
+--R
+--R          3 5       2 4     2   3    3 2  +-+
+--R   (1)  (b x  + 3a b x  + 3a b x  + a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2220
+
+--S 2221 of 3330
+r0000:=2/7*a^3*x^(7/2)+2/3*a^2*b*x^(9/2)+6/11*a*b^2*x^(11/2)+2/13*b^3*x^(13/2)
+--R 
+--R
+--R             3 6          2 5        2   4       3 3  +-+
+--R        (462b x  + 1638a b x  + 2002a b x  + 858a x )\|x
+--R   (2)  -------------------------------------------------
+--R                               3003
+--R                                                    Type: Expression(Integer)
+--E 2221
+
+--S 2222 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             3 6          2 5        2   4       3 3  +-+
+--R        (462b x  + 1638a b x  + 2002a b x  + 858a x )\|x
+--R   (3)  -------------------------------------------------
+--R                               3003
+--R                                         Type: Union(Expression(Integer),...)
+--E 2222
+
+--S 2223 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2223
+
+--S 2224 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2224
+
+)clear all
+
+--S 2225 of 3330
+t0000:=x^(3/2)*(a+b*x)^3
+--R 
+--R
+--R          3 4       2 3     2   2    3   +-+
+--R   (1)  (b x  + 3a b x  + 3a b x  + a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 2225
+
+--S 2226 of 3330
+r0000:=2/5*a^3*x^(5/2)+6/7*a^2*b*x^(7/2)+2/3*a*b^2*x^(9/2)+2/11*b^3*x^(11/2)
+--R 
+--R
+--R             3 5         2 4       2   3       3 2  +-+
+--R        (210b x  + 770a b x  + 990a b x  + 462a x )\|x
+--R   (2)  -----------------------------------------------
+--R                              1155
+--R                                                    Type: Expression(Integer)
+--E 2226
+
+--S 2227 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R             3 5         2 4       2   3       3 2  +-+
+--R        (210b x  + 770a b x  + 990a b x  + 462a x )\|x
+--R   (3)  -----------------------------------------------
+--R                              1155
+--R                                         Type: Union(Expression(Integer),...)
+--E 2227
+
+--S 2228 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2228
+
+--S 2229 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2229
+
+)clear all
+
+--S 2230 of 3330
+t0000:=(a+b*x)^3*sqrt(x)
+--R 
+--R
+--R          3 3       2 2     2       3  +-+
+--R   (1)  (b x  + 3a b x  + 3a b x + a )\|x
+--R                                                    Type: Expression(Integer)
+--E 2230
+
+--S 2231 of 3330
+r0000:=2/3*a^3*x^(3/2)+6/5*a^2*b*x^(5/2)+6/7*a*b^2*x^(7/2)+2/9*b^3*x^(9/2)
+--R 
+--R
+--R            3 4         2 3       2   2       3   +-+
+--R        (70b x  + 270a b x  + 378a b x  + 210a x)\|x
+--R   (2)  ---------------------------------------------
+--R                             315
+--R                                                    Type: Expression(Integer)
+--E 2231
+
+--S 2232 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 4         2 3       2   2       3   +-+
+--R        (70b x  + 270a b x  + 378a b x  + 210a x)\|x
+--R   (3)  ---------------------------------------------
+--R                             315
+--R                                         Type: Union(Expression(Integer),...)
+--E 2232
+
+--S 2233 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2233
+
+--S 2234 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2234
+
+)clear all
+
+--S 2235 of 3330
+t0000:=(a+b*x)^3/sqrt(x)
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                     +-+
+--R                    \|x
+--R                                                    Type: Expression(Integer)
+--E 2235
+
+--S 2236 of 3330
+r0000:=2*a^2*b*x^(3/2)+6/5*a*b^2*x^(5/2)+2/7*b^3*x^(7/2)+2*a^3*sqrt(x)
+--R 
+--R
+--R            3 3        2 2      2         3  +-+
+--R        (10b x  + 42a b x  + 70a b x + 70a )\|x
+--R   (2)  ----------------------------------------
+--R                           35
+--R                                                    Type: Expression(Integer)
+--E 2236
+
+--S 2237 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R            3 3        2 2      2         3  +-+
+--R        (10b x  + 42a b x  + 70a b x + 70a )\|x
+--R   (3)  ----------------------------------------
+--R                           35
+--R                                         Type: Union(Expression(Integer),...)
+--E 2237
+
+--S 2238 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2238
+
+--S 2239 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2239
+
+)clear all
+
+--S 2240 of 3330
+t0000:=(a+b*x)^3/x^(3/2)
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                      +-+
+--R                    x\|x
+--R                                                    Type: Expression(Integer)
+--E 2240
+
+--S 2241 of 3330
+r0000:=2*a*b^2*x^(3/2)+2/5*b^3*x^(5/2)-2*a^3/sqrt(x)+6*a^2*b*sqrt(x)
+--R 
+--R
+--R          3 3        2 2      2         3
+--R        2b x  + 10a b x  + 30a b x - 10a
+--R   (2)  ---------------------------------
+--R                        +-+
+--R                      5\|x
+--R                                                    Type: Expression(Integer)
+--E 2241
+
+--S 2242 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3 3        2 2      2         3
+--R        2b x  + 10a b x  + 30a b x - 10a
+--R   (3)  ---------------------------------
+--R                        +-+
+--R                      5\|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2242
+
+--S 2243 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2243
+
+--S 2244 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2244
+
+)clear all
+
+--S 2245 of 3330
+t0000:=(a+b*x)^3/x^(5/2)
+--R 
+--R
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R   (1)  ----------------------------
+--R                    2 +-+
+--R                   x \|x
+--R                                                    Type: Expression(Integer)
+--E 2245
+
+--S 2246 of 3330
+r0000:=-2/3*a^3/x^(3/2)+2/3*b^3*x^(3/2)-6*a^2*b/sqrt(x)+6*a*b^2*sqrt(x)
+--R 
+--R
+--R          3 3        2 2      2        3
+--R        2b x  + 18a b x  - 18a b x - 2a
+--R   (2)  --------------------------------
+--R                        +-+
+--R                     3x\|x
+--R                                                    Type: Expression(Integer)
+--E 2246
+
+--S 2247 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R          3 3        2 2      2        3
+--R        2b x  + 18a b x  - 18a b x - 2a
+--R   (3)  --------------------------------
+--R                        +-+
+--R                     3x\|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2247
+
+--S 2248 of 3330
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Expression(Integer)
+--E 2248
+
+--S 2249 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2249
+
+)clear all
+
+--S 2250 of 3330
+t0000:=x^(5/2)/(a+b*x)
+--R 
+--R
+--R          2 +-+
+--R         x \|x
+--R   (1)  -------
+--R        b x + a
+--R                                                    Type: Expression(Integer)
+--E 2250
+
+--S 2251 of 3330
+r0000:=-2/3*a*x^(3/2)/b^2+2/5*x^(5/2)/b-_
+     2*a^(5/2)*atan(sqrt(b)*sqrt(x)/sqrt(a))/b^(7/2)+2*a^2*sqrt(x)/b^3
+--R 
+--R
+--R                        +-+ +-+
+--R             2 +-+     \|b \|x        2 2                2  +-+ +-+
+--R        - 30a \|a atan(--------) + (6b x  - 10a b x + 30a )\|b \|x
+--R                          +-+
+--R                         \|a
+--R   (2)  -----------------------------------------------------------
+--R                                     3 +-+
+--R                                  15b \|b
+--R                                                    Type: Expression(Integer)
+--E 2251
+
+--S 2252 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                       +---+
+--R                       |  a  +-+
+--R         +---+    - 2b |- - \|x  + b x - a
+--R       2 |  a         \|  b                      2 2                2  +-+
+--R    15a  |- - log(------------------------) + (6b x  - 10a b x + 30a )\|x
+--R        \|  b              b x + a
+--R   [----------------------------------------------------------------------,
+--R                                        3
+--R                                     15b
+--R           +-+      +-+
+--R         2 |a      \|x        2 2                2  +-+
+--R    - 30a  |- atan(----) + (6b x  - 10a b x + 30a )\|x
+--R          \|b       +-+
+--R                    |a
+--R                    |-
+--R                   \|b
+--R    ---------------------------------------------------]
+--R                               3
+--R                            15b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2252
+
+--S 2253 of 3330
+m0000:=a0000 - r0000
+--R 
+--R   There are 12 exposed and 3 unexposed library operations named - 
+--R      having 2 argument(s) but none was determined to be applicable. 
+--R      Use HyperDoc Browse, or issue
+--R                                )display op -
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named - 
+--R      with argument type(s) 
+--R                          List(Expression(Integer))
+--R                             Expression(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 2253
+
+--S 2254 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Polynomial(Integer)
+--E 2254
+
+)clear all
+
+--S 2255 of 3330
+t0000:=x^(3/2)/(a+b*x)
+--R 
+--R
+--R           +-+
+--R         x\|x
+--R   (1)  -------
+--R        b x + a
+--R                                                    Type: Expression(Integer)
+--E 2255
+
+--S 2256 of 3330
+r0000:=2/3*x^(3/2)/b+2*a^(3/2)*atan(sqrt(b)*sqrt(x)/sqrt(a))/b^(5/2)-_
+     2*a*sqrt(x)/b^2
+--R 
+--R
+--R                    +-+ +-+
+--R           +-+     \|b \|x                 +-+ +-+
+--R        6a\|a atan(--------) + (2b x - 6a)\|b \|x
+--R                      +-+
+--R                     \|a
+--R   (2)  ------------------------------------------
+--R                            2 +-+
+--R                          3b \|b
+--R                                                    Type: Expression(Integer)
+--E 2256
+
+--S 2257 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                   +---+
+--R                   |  a  +-+
+--R       +---+    2b |- - \|x  + b x - a
+--R       |  a       \|  b                               +-+
+--R    3a |- - log(----------------------) + (2b x - 6a)\|x
+--R      \|  b             b x + a
+--R   [-----------------------------------------------------,
+--R                               2
+--R                             3b
+--R       +-+      +-+
+--R       |a      \|x                 +-+
+--R    6a |- atan(----) + (2b x - 6a)\|x
+--R      \|b       +-+
+--R                |a
+--R                |-
+--R               \|b
+--R    ----------------------------------]
+--R                      2
+--R                    3b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2257
+
+--S 2258 of 3330
+m0000:=a0000 - r0000
+--R 
+--R   There are 12 exposed and 3 unexposed library operations named - 
+--R      having 2 argument(s) but none was determined to be applicable. 
+--R      Use HyperDoc Browse, or issue
+--R                                )display op -
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named - 
+--R      with argument type(s) 
+--R                          List(Expression(Integer))
+--R                             Expression(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 2258
+
+--S 2259 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (4)  0
+--R                                                    Type: Polynomial(Integer)
+--E 2259
+
+)clear all
+
+--S 2260 of 3330
+t0000:=sqrt(x)/(a+b*x)
+--R 
+--R
+--R           +-+
+--R          \|x
+--R   (1)  -------
+--R        b x + a
+--R                                                    Type: Expression(Integer)
+--E 2260
+
+--S 2261 of 3330
+r0000:=-2*atan(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(a)/b^(3/2)+2*sqrt(x)/b
+--R 
+--R
+--R                     +-+ +-+
+--R            +-+     \|b \|x       +-+ +-+
+--R        - 2\|a atan(--------) + 2\|b \|x
+--R                       +-+
+--R                      \|a
+--R   (2)  ---------------------------------
+--R                        +-+
+--R                      b\|b
+--R                                                    Type: Expression(Integer)
+--E 2261
+
+--S 2262 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                                                     +-+      +-+
+--R                   +---+                             |a      \|x      +-+
+--R                   |  a  +-+                    - 2  |- atan(---- + 2\|x
+--R     +---+    - 2b |- - \|x  + b x - a              \|b       +-+
+--R     |  a         \|  b                     +-+               |a
+--R     |- - log(------------------------) + 2\|x                |-
+--R    \|  b              b x + a                               \|b
+--R   [-------------------------------------------,-------------------------]
+--R                         b                                  b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2262
+
+--S 2263 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +---+
+--R                           |  a  +-+
+--R         +---+        - 2b |- - \|x  + b x - a               +-+ +-+
+--R         |  a  +-+        \|  b                     +-+     \|b \|x
+--R         |- - \|b log(------------------------) + 2\|a atan(--------)
+--R        \|  b                  b x + a                         +-+
+--R                                                              \|a
+--R   (4)  -------------------------------------------------------------
+--R                                      +-+
+--R                                    b\|b
+--R                                                    Type: Expression(Integer)
+--E 2263
+
+--S 2264 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2264
+
+--S 2265 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                   +-+ +-+       +-+          +-+
+--R          +-+     \|b \|x        |a  +-+     \|x
+--R        2\|a atan(--------) - 2  |- \|b atan(----)
+--R                     +-+        \|b           +-+
+--R                    \|a                       |a
+--R                                              |-
+--R                                             \|b
+--R   (6)  -----------------------------------------
+--R                            +-+
+--R                          b\|b
+--R                                                    Type: Expression(Integer)
+--E 2265
+
+--S 2266 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2266
+
+)clear all
+
+--S 2267 of 3330
+t0000:=1/((a+b*x)*sqrt(x))
+--R 
+--R
+--R              1
+--R   (1)  -------------
+--R                  +-+
+--R        (b x + a)\|x
+--R                                                    Type: Expression(Integer)
+--E 2267
+
+--S 2268 of 3330
+r0000:=2*atan(sqrt(b)*sqrt(x)/sqrt(a))/(sqrt(a)*sqrt(b))
+--R 
+--R
+--R               +-+ +-+
+--R              \|b \|x
+--R        2atan(--------)
+--R                 +-+
+--R                \|a
+--R   (2)  ---------------
+--R             +-+ +-+
+--R            \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2268
+
+--S 2269 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                  +-+             +-----+         +---+ +-+
+--R             2a b\|x  + (b x - a)\|- a b         \|a b \|x
+--R         log(----------------------------) 2atan(----------)
+--R                        b x + a                       a
+--R   (3)  [---------------------------------,-----------------]
+--R                       +-----+                    +---+
+--R                      \|- a b                    \|a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2269
+
+--S 2270 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                         +-+             +-----+                   +-+ +-+
+--R         +-+ +-+    2a b\|x  + (b x - a)\|- a b       +-----+     \|b \|x
+--R        \|a \|b log(----------------------------) - 2\|- a b atan(--------)
+--R                               b x + a                               +-+
+--R                                                                    \|a
+--R   (4)  -------------------------------------------------------------------
+--R                                   +-----+ +-+ +-+
+--R                                  \|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2270
+
+--S 2271 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2271
+
+--S 2272 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +---+ +-+                 +-+ +-+
+--R          +-+ +-+     \|a b \|x       +---+     \|b \|x
+--R        2\|a \|b atan(----------) - 2\|a b atan(--------)
+--R                           a                       +-+
+--R                                                  \|a
+--R   (6)  -------------------------------------------------
+--R                           +-+ +-+ +---+
+--R                          \|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2272
+
+--S 2273 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2273
+
+)clear all
+
+--S 2274 of 3330
+t0000:=1/(x^(3/2)*(a+b*x))
+--R 
+--R
+--R                1
+--R   (1)  ----------------
+--R            2        +-+
+--R        (b x  + a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 2274
+
+--S 2275 of 3330
+r0000:=-2*atan(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(b)/a^(3/2)+(-2)/(a*sqrt(x))
+--R 
+--R
+--R                         +-+ +-+
+--R            +-+ +-+     \|b \|x       +-+
+--R        - 2\|b \|x atan(--------) - 2\|a
+--R                           +-+
+--R                          \|a
+--R   (2)  ---------------------------------
+--R                      +-+ +-+
+--R                    a\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2275
+
+--S 2276 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                                                     +-+           +-+
+--R                       +---+                         |b  +-+     b\|x
+--R                       |  b  +-+                - 2  |- \|x atan(----- - 2
+--R     +---+        - 2a |- - \|x  + b x - a          \|a            +-+
+--R     |  b  +-+        \|  a                                        |b
+--R     |- - \|x log(------------------------) - 2                  a |-
+--R    \|  a                  b x + a                                \|a
+--R   [-------------------------------------------,--------------------------]
+--R                         +-+                                 +-+
+--R                       a\|x                                a\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2276
+
+--S 2277 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +---+
+--R                           |  b  +-+
+--R         +---+        - 2a |- - \|x  + b x - a               +-+ +-+
+--R         |  b  +-+        \|  a                     +-+     \|b \|x
+--R         |- - \|a log(------------------------) + 2\|b atan(--------)
+--R        \|  a                  b x + a                         +-+
+--R                                                              \|a
+--R   (4)  -------------------------------------------------------------
+--R                                      +-+
+--R                                    a\|a
+--R                                                    Type: Expression(Integer)
+--E 2277
+
+--S 2278 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2278
+
+--S 2279 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                   +-+ +-+          +-+       +-+
+--R          +-+     \|b \|x       +-+ |b      b\|x
+--R        2\|b atan(--------) - 2\|a  |- atan(-----)
+--R                     +-+           \|a        +-+
+--R                    \|a                       |b
+--R                                            a |-
+--R                                             \|a
+--R   (6)  ------------------------------------------
+--R                             +-+
+--R                           a\|a
+--R                                                    Type: Expression(Integer)
+--E 2279
+
+--S 2280 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2280
+
+)clear all
+
+--S 2281 of 3330
+t0000:=1/(x^(5/2)*(a+b*x))
+--R 
+--R
+--R                1
+--R   (1)  -----------------
+--R            3      2  +-+
+--R        (b x  + a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2281
+
+--S 2282 of 3330
+r0000:=(-2/3)/(a*x^(3/2))+2*b^(3/2)*atan(sqrt(b)*sqrt(x)/sqrt(a))/a^(5/2)+_
+     2*b/(a^2*sqrt(x))
+--R 
+--R
+--R                          +-+ +-+
+--R             +-+ +-+     \|b \|x                 +-+
+--R        6b x\|b \|x atan(--------) + (6b x - 2a)\|a
+--R                            +-+
+--R                           \|a
+--R   (2)  --------------------------------------------
+--R                          2  +-+ +-+
+--R                        3a x\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2282
+
+--S 2283 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                         +---+
+--R                         |  b  +-+
+--R         +---+        2a |- - \|x  + b x - a
+--R         |  b  +-+      \|  a
+--R    3b x |- - \|x log(----------------------) + 6b x - 2a
+--R        \|  a                 b x + a
+--R   [-----------------------------------------------------,
+--R                             2  +-+
+--R                           3a x\|x
+--R         +-+           +-+
+--R         |b  +-+     b\|x
+--R    6b x |- \|x atan(-----) + 6b x - 2a
+--R        \|a            +-+
+--R                       |b
+--R                     a |-
+--R                      \|a
+--R    -----------------------------------]
+--R                    2  +-+
+--R                  3a x\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2283
+
+--S 2284 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                          +---+
+--R                          |  b  +-+
+--R          +---+        2a |- - \|x  + b x - a                +-+ +-+
+--R          |  b  +-+      \|  a                      +-+     \|b \|x
+--R        b |- - \|a log(----------------------) - 2b\|b atan(--------)
+--R         \|  a                 b x + a                         +-+
+--R                                                              \|a
+--R   (4)  -------------------------------------------------------------
+--R                                     2 +-+
+--R                                    a \|a
+--R                                                    Type: Expression(Integer)
+--E 2284
+
+--S 2285 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2285
+
+--S 2286 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-+ +-+           +-+       +-+
+--R             +-+     \|b \|x        +-+ |b      b\|x
+--R        - 2b\|b atan(--------) + 2b\|a  |- atan(-----)
+--R                        +-+            \|a        +-+
+--R                       \|a                        |b
+--R                                                a |-
+--R                                                 \|a
+--R   (6)  ----------------------------------------------
+--R                             2 +-+
+--R                            a \|a
+--R                                                    Type: Expression(Integer)
+--E 2286
+
+--S 2287 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2287
+
+)clear all
+
+--S 2288 of 3330
+t0000:=1/(x^(7/2)*(a+b*x))
+--R 
+--R
+--R                1
+--R   (1)  -----------------
+--R            4      3  +-+
+--R        (b x  + a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2288
+
+--S 2289 of 3330
+r0000:=(-2/5)/(a*x^(5/2))+2/3*b/(a^2*x^(3/2))-_
+     2*b^(5/2)*atan(sqrt(b)*sqrt(x)/sqrt(a))/a^(7/2)-2*b^2/(a^3*sqrt(x))
+--R 
+--R
+--R                              +-+ +-+
+--R             2 2 +-+ +-+     \|b \|x           2 2               2  +-+
+--R        - 30b x \|b \|x atan(--------) + (- 30b x  + 10a b x - 6a )\|a
+--R                                +-+
+--R                               \|a
+--R   (2)  ---------------------------------------------------------------
+--R                                    3 2 +-+ +-+
+--R                                 15a x \|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2289
+
+--S 2290 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                             +---+
+--R                             |  b  +-+
+--R           +---+        - 2a |- - \|x  + b x - a
+--R       2 2 |  b  +-+        \|  a                      2 2               2
+--R    15b x  |- - \|x log(------------------------) - 30b x  + 10a b x - 6a
+--R          \|  a                  b x + a
+--R   [----------------------------------------------------------------------,
+--R                                     3 2 +-+
+--R                                  15a x \|x
+--R             +-+           +-+
+--R         2 2 |b  +-+     b\|x        2 2               2
+--R    - 30b x  |- \|x atan(-----) - 30b x  + 10a b x - 6a
+--R            \|a            +-+
+--R                           |b
+--R                         a |-
+--R                          \|a
+--R    ----------------------------------------------------]
+--R                            3 2 +-+
+--R                         15a x \|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2290
+
+--S 2291 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                             +---+
+--R                             |  b  +-+
+--R           +---+        - 2a |- - \|x  + b x - a                 +-+ +-+
+--R         2 |  b  +-+        \|  a                     2 +-+     \|b \|x
+--R        b  |- - \|a log(------------------------) + 2b \|b atan(--------)
+--R          \|  a                  b x + a                           +-+
+--R                                                                  \|a
+--R   (4)  -----------------------------------------------------------------
+--R                                       3 +-+
+--R                                      a \|a
+--R                                                    Type: Expression(Integer)
+--E 2291
+
+--S 2292 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2292
+
+--S 2293 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                     +-+ +-+            +-+       +-+
+--R          2 +-+     \|b \|x       2 +-+ |b      b\|x
+--R        2b \|b atan(--------) - 2b \|a  |- atan(-----)
+--R                       +-+             \|a        +-+
+--R                      \|a                         |b
+--R                                                a |-
+--R                                                 \|a
+--R   (6)  ----------------------------------------------
+--R                             3 +-+
+--R                            a \|a
+--R                                                    Type: Expression(Integer)
+--E 2293
+
+--S 2294 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2294
+
+)clear all
+
+--S 2295 of 3330
+t0000:=x^(5/2)/(a+b*x)^2
+--R 
+--R
+--R               2 +-+
+--R              x \|x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2295
+
+--S 2296 of 3330
+r0000:=5/3*x^(3/2)/b^2-x^(5/2)/(b*(a+b*x))+_
+     5*a^(3/2)*atan(sqrt(b)*sqrt(x)/sqrt(a))/b^(7/2)-5*a*sqrt(x)/b^3
+--R 
+--R
+--R                                  +-+ +-+
+--R                      2  +-+     \|b \|x        2 2                2  +-+ +-+
+--R        (15a b x + 15a )\|a atan(--------) + (2b x  - 10a b x - 15a )\|b \|x
+--R                                    +-+
+--R                                   \|a
+--R   (2)  ---------------------------------------------------------------------
+--R                                     4        3  +-+
+--R                                  (3b x + 3a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 2296
+
+--S 2297 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                      +---+
+--R                                      |  a  +-+
+--R                          +---+    2b |- - \|x  + b x - a
+--R                       2  |  a       \|  b
+--R         (15a b x + 15a ) |- - log(----------------------)
+--R                         \|  b             b x + a
+--R       + 
+--R            2 2                2  +-+
+--R         (4b x  - 20a b x - 30a )\|x
+--R    /
+--R         4        3
+--R       6b x + 6a b
+--R     ,
+--R                     +-+      +-+
+--R                  2  |a      \|x        2 2                2  +-+
+--R    (15a b x + 15a ) |- atan(----) + (2b x  - 10a b x - 15a )\|x
+--R                    \|b       +-+
+--R                              |a
+--R                              |-
+--R                             \|b
+--R    -------------------------------------------------------------]
+--R                               4        3
+--R                             3b x + 3a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2297
+
+--S 2298 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +---+
+--R                           |  a  +-+
+--R           +---+        2b |- - \|x  + b x - a                 +-+ +-+
+--R           |  a  +-+      \|  b                       +-+     \|b \|x
+--R        5a |- - \|b log(----------------------) - 10a\|a atan(--------)
+--R          \|  b                 b x + a                          +-+
+--R                                                                \|a
+--R   (4)  ---------------------------------------------------------------
+--R                                      3 +-+
+--R                                    2b \|b
+--R                                                    Type: Expression(Integer)
+--E 2298
+
+--S 2299 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2299
+
+--S 2300 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-+ +-+       +-+          +-+
+--R             +-+     \|b \|x        |a  +-+     \|x
+--R        - 5a\|a atan(--------) + 5a |- \|b atan(----)
+--R                        +-+        \|b           +-+
+--R                       \|a                       |a
+--R                                                 |-
+--R                                                \|b
+--R   (6)  ---------------------------------------------
+--R                             3 +-+
+--R                            b \|b
+--R                                                    Type: Expression(Integer)
+--E 2300
+
+--S 2301 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2301
+
+)clear all
+
+--S 2302 of 3330
+t0000:=x^(3/2)/(a+b*x)^2
+--R 
+--R
+--R                 +-+
+--R               x\|x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2302
+
+--S 2303 of 3330
+r0000:=-x^(3/2)/(b*(a+b*x))-3*atan(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(a)/b^(5/2)+_
+     3*sqrt(x)/b^2
+--R 
+--R
+--R                               +-+ +-+
+--R                      +-+     \|b \|x                 +-+ +-+
+--R        (- 3b x - 3a)\|a atan(--------) + (2b x + 3a)\|b \|x
+--R                                 +-+
+--R                                \|a
+--R   (2)  -----------------------------------------------------
+--R                             3       2  +-+
+--R                           (b x + a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 2303
+
+--S 2304 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                              +---+
+--R                              |  a  +-+
+--R                +---+    - 2b |- - \|x  + b x - a
+--R                |  a         \|  b                               +-+
+--R    (3b x + 3a) |- - log(------------------------) + (4b x + 6a)\|x
+--R               \|  b              b x + a
+--R   [----------------------------------------------------------------,
+--R                                3        2
+--R                              2b x + 2a b
+--R                  +-+      +-+
+--R                  |a      \|x                 +-+
+--R    (- 3b x - 3a) |- atan(----) + (2b x + 3a)\|x
+--R                 \|b       +-+
+--R                           |a
+--R                           |-
+--R                          \|b
+--R    ---------------------------------------------]
+--R                       3       2
+--R                      b x + a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2304
+
+--S 2305 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                             +---+
+--R                             |  a  +-+
+--R           +---+        - 2b |- - \|x  + b x - a              +-+ +-+
+--R           |  a  +-+        \|  b                    +-+     \|b \|x
+--R        3  |- - \|b log(------------------------ + 6\|a atan(--------)
+--R          \|  b                  b x + a                        +-+
+--R                                                               \|a
+--R   (4)  --------------------------------------------------------------
+--R                                      2 +-+
+--R                                    2b \|b
+--R                                                    Type: Expression(Integer)
+--E 2305
+
+--S 2306 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2306
+
+--S 2307 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                   +-+ +-+       +-+          +-+
+--R          +-+     \|b \|x        |a  +-+     \|x
+--R        3\|a atan(--------) - 3  |- \|b atan(----)
+--R                     +-+        \|b           +-+
+--R                    \|a                       |a
+--R                                              |-
+--R                                             \|b
+--R   (6)  -----------------------------------------
+--R                           2 +-+
+--R                          b \|b
+--R                                                    Type: Expression(Integer)
+--E 2307
+
+--S 2308 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2308
+
+)clear all
+
+--S 2309 of 3330
+t0000:=sqrt(x)/(a+b*x)^2
+--R 
+--R
+--R                +-+
+--R               \|x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2309
+
+--S 2310 of 3330
+r0000:=atan(sqrt(b)*sqrt(x)/sqrt(a))/(b^(3/2)*sqrt(a))-sqrt(x)/(b*(a+b*x))
+--R 
+--R
+--R                       +-+ +-+
+--R                      \|b \|x      +-+ +-+ +-+
+--R        (b x + a)atan(--------) - \|a \|b \|x
+--R                         +-+
+--R                        \|a
+--R   (2)  --------------------------------------
+--R                    2         +-+ +-+
+--R                  (b x + a b)\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2310
+
+--S 2311 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                      +-+             +-----+
+--R                 2a b\|x  + (b x - a)\|- a b       +-----+ +-+
+--R    (b x + a)log(----------------------------) - 2\|- a b \|x
+--R                            b x + a
+--R   [----------------------------------------------------------,
+--R                          2          +-----+
+--R                       (2b x + 2a b)\|- a b
+--R                   +---+ +-+
+--R                  \|a b \|x      +---+ +-+
+--R    (b x + a)atan(----------) - \|a b \|x
+--R                       a
+--R    --------------------------------------]
+--R                 2         +---+
+--R               (b x + a b)\|a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2311
+
+--S 2312 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                         +-+             +-----+                   +-+ +-+
+--R         +-+ +-+    2a b\|x  + (b x - a)\|- a b       +-----+     \|b \|x
+--R        \|a \|b log(----------------------------) - 2\|- a b atan(--------)
+--R                               b x + a                               +-+
+--R                                                                    \|a
+--R   (4)  -------------------------------------------------------------------
+--R                                    +-----+ +-+ +-+
+--R                                 2b\|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2312
+
+--S 2313 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2313
+
+--S 2314 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +---+ +-+                +-+ +-+
+--R         +-+ +-+     \|a b \|x      +---+     \|b \|x
+--R        \|a \|b atan(----------) - \|a b atan(--------)
+--R                          a                      +-+
+--R                                                \|a
+--R   (6)  -----------------------------------------------
+--R                          +-+ +-+ +---+
+--R                        b\|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2314
+
+--S 2315 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2315
+
+)clear all
+
+--S 2316 of 3330
+t0000:=1/((a+b*x)^2*sqrt(x))
+--R 
+--R
+--R                    1
+--R   (1)  ------------------------
+--R          2 2             2  +-+
+--R        (b x  + 2a b x + a )\|x
+--R                                                    Type: Expression(Integer)
+--E 2316
+
+--S 2317 of 3330
+r0000:=atan(sqrt(b)*sqrt(x)/sqrt(a))/(a^(3/2)*sqrt(b))+sqrt(x)/(a*(a+b*x))
+--R 
+--R
+--R                       +-+ +-+
+--R                      \|b \|x      +-+ +-+ +-+
+--R        (b x + a)atan(--------) + \|a \|b \|x
+--R                         +-+
+--R                        \|a
+--R   (2)  --------------------------------------
+--R                           2  +-+ +-+
+--R                 (a b x + a )\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2317
+
+--S 2318 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                      +-+             +-----+
+--R                 2a b\|x  + (b x - a)\|- a b       +-----+ +-+
+--R    (b x + a)log(----------------------------) + 2\|- a b \|x
+--R                            b x + a
+--R   [----------------------------------------------------------,
+--R                                  2  +-----+
+--R                      (2a b x + 2a )\|- a b
+--R                   +---+ +-+
+--R                  \|a b \|x      +---+ +-+
+--R    (b x + a)atan(----------) + \|a b \|x
+--R                       a
+--R    --------------------------------------]
+--R                        2  +---+
+--R              (a b x + a )\|a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2318
+
+--S 2319 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                         +-+             +-----+                   +-+ +-+
+--R         +-+ +-+    2a b\|x  + (b x - a)\|- a b       +-----+     \|b \|x
+--R        \|a \|b log(----------------------------) - 2\|- a b atan(--------)
+--R                               b x + a                               +-+
+--R                                                                    \|a
+--R   (4)  -------------------------------------------------------------------
+--R                                    +-----+ +-+ +-+
+--R                                 2a\|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2319
+
+--S 2320 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2320
+
+--S 2321 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +---+ +-+                +-+ +-+
+--R         +-+ +-+     \|a b \|x      +---+     \|b \|x
+--R        \|a \|b atan(----------) - \|a b atan(--------)
+--R                          a                      +-+
+--R                                                \|a
+--R   (6)  -----------------------------------------------
+--R                          +-+ +-+ +---+
+--R                        a\|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2321
+
+--S 2322 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2322
+
+)clear all
+
+--S 2323 of 3330
+t0000:=1/(x^(3/2)*(a+b*x)^2)
+--R 
+--R
+--R                     1
+--R   (1)  --------------------------
+--R          2 3         2    2   +-+
+--R        (b x  + 2a b x  + a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 2323
+
+--S 2324 of 3330
+r0000:=-3*atan(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(b)/a^(5/2)+_
+     (-3)/(a^2*sqrt(x))+1/(a*(a+b*x)*sqrt(x))
+--R 
+--R
+--R                                   +-+ +-+
+--R                      +-+ +-+     \|b \|x                   +-+
+--R        (- 3b x - 3a)\|b \|x atan(--------) + (- 3b x - 2a)\|a
+--R                                     +-+
+--R                                    \|a
+--R   (2)  -------------------------------------------------------
+--R                            2       3  +-+ +-+
+--R                          (a b x + a )\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2324
+
+--S 2325 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                                  +---+
+--R                                  |  b  +-+
+--R                +---+        - 2a |- - \|x  + b x - a
+--R                |  b  +-+        \|  a
+--R    (3b x + 3a) |- - \|x log(------------------------) - 6b x - 4a
+--R               \|  a                  b x + a
+--R   [--------------------------------------------------------------,
+--R                             2        3  +-+
+--R                          (2a b x + 2a )\|x
+--R                  +-+           +-+
+--R                  |b  +-+     b\|x
+--R    (- 3b x - 3a) |- \|x atan(-----) - 3b x - 2a
+--R                 \|a            +-+
+--R                                |b
+--R                              a |-
+--R                               \|a
+--R    --------------------------------------------]
+--R                    2       3  +-+
+--R                  (a b x + a )\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2325
+
+--S 2326 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                             +---+
+--R                             |  b  +-+
+--R           +---+        - 2a |- - \|x  + b x - a              +-+ +-+
+--R           |  b  +-+        \|  a                    +-+     \|b \|x
+--R        3  |- - \|a log(------------------------ + 6\|b atan(--------)
+--R          \|  a                  b x + a                        +-+
+--R                                                               \|a
+--R   (4)  --------------------------------------------------------------
+--R                                      2 +-+
+--R                                    2a \|a
+--R                                                    Type: Expression(Integer)
+--E 2326
+
+--S 2327 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2327
+
+--S 2328 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                   +-+ +-+          +-+       +-+
+--R          +-+     \|b \|x       +-+ |b      b\|x
+--R        3\|b atan(--------) - 3\|a  |- atan(-----)
+--R                     +-+           \|a        +-+
+--R                    \|a                       |b
+--R                                            a |-
+--R                                             \|a
+--R   (6)  ------------------------------------------
+--R                           2 +-+
+--R                          a \|a
+--R                                                    Type: Expression(Integer)
+--E 2328
+
+--S 2329 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2329
+
+)clear all
+
+--S 2330 of 3330
+t0000:=1/(x^(5/2)*(a+b*x)^2)
+--R 
+--R
+--R                     1
+--R   (1)  ---------------------------
+--R          2 4         3    2 2  +-+
+--R        (b x  + 2a b x  + a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2330
+
+--S 2331 of 3330
+r0000:=(-5/3)/(a^2*x^(3/2))+1/(a*x^(3/2)*(a+b*x))+_
+     5*b^(3/2)*atan(sqrt(b)*sqrt(x)/sqrt(a))/a^(7/2)+5*b/(a^3*sqrt(x))
+--R 
+--R
+--R   (2)
+--R                                   +-+ +-+
+--R       2 2            +-+ +-+     \|b \|x         2 2               2  +-+
+--R   (15b x  + 15a b x)\|b \|x atan(--------) + (15b x  + 10a b x - 2a )\|a
+--R                                     +-+
+--R                                    \|a
+--R   -----------------------------------------------------------------------
+--R                              3   2     4   +-+ +-+
+--R                           (3a b x  + 3a x)\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2331
+
+--S 2332 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                            +---+
+--R                                            |  b  +-+
+--R                            +---+        2a |- - \|x  + b x - a
+--R             2 2            |  b  +-+      \|  a                      2 2
+--R         (15b x  + 15a b x) |- - \|x log(----------------------) + 30b x
+--R                           \|  a                 b x + a
+--R       + 
+--R                     2
+--R         20a b x - 4a
+--R    /
+--R          3   2     4   +-+
+--R       (6a b x  + 6a x)\|x
+--R     ,
+--R                       +-+           +-+
+--R        2 2            |b  +-+     b\|x        2 2               2
+--R    (15b x  + 15a b x) |- \|x atan(-----) + 15b x  + 10a b x - 2a
+--R                      \|a            +-+
+--R                                     |b
+--R                                   a |-
+--R                                    \|a
+--R    --------------------------------------------------------------]
+--R                            3   2     4   +-+
+--R                         (3a b x  + 3a x)\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2332
+
+--S 2333 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +---+
+--R                           |  b  +-+
+--R           +---+        2a |- - \|x  + b x - a                 +-+ +-+
+--R           |  b  +-+      \|  a                       +-+     \|b \|x
+--R        5b |- - \|a log(----------------------) - 10b\|b atan(--------)
+--R          \|  a                 b x + a                          +-+
+--R                                                                \|a
+--R   (4)  ---------------------------------------------------------------
+--R                                      3 +-+
+--R                                    2a \|a
+--R                                                    Type: Expression(Integer)
+--E 2333
+
+--S 2334 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2334
+
+--S 2335 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-+ +-+           +-+       +-+
+--R             +-+     \|b \|x        +-+ |b      b\|x
+--R        - 5b\|b atan(--------) + 5b\|a  |- atan(-----)
+--R                        +-+            \|a        +-+
+--R                       \|a                        |b
+--R                                                a |-
+--R                                                 \|a
+--R   (6)  ----------------------------------------------
+--R                             3 +-+
+--R                            a \|a
+--R                                                    Type: Expression(Integer)
+--E 2335
+
+--S 2336 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2336
+
+)clear all
+
+--S 2337 of 3330
+t0000:=x^(7/2)/(a+b*x)^3
+--R 
+--R
+--R                    3 +-+
+--R                   x \|x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2337
+
+--S 2338 of 3330
+r0000:=35/12*x^(3/2)/b^3-1/2*x^(7/2)/(b*(a+b*x)^2)-_
+     7/4*x^(5/2)/(b^2*(a+b*x))+35/4*a^(3/2)*_
+     atan(sqrt(b)*sqrt(x)/sqrt(a))/b^(9/2)-35/4*a*sqrt(x)/b^4
+--R 
+--R
+--R   (2)
+--R                                               +-+ +-+
+--R              2 2       2          3  +-+     \|b \|x
+--R       (105a b x  + 210a b x + 105a )\|a atan(--------)
+--R                                                 +-+
+--R                                                \|a
+--R     + 
+--R          3 3        2 2       2          3  +-+ +-+
+--R       (8b x  - 56a b x  - 175a b x - 105a )\|b \|x
+--R  /
+--R         6 2        5       2 4  +-+
+--R     (12b x  + 24a b x + 12a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 2338
+
+--S 2339 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                                    +---+
+--R                                                    |  a  +-+
+--R                                        +---+    2b |- - \|x  + b x - a
+--R                2 2       2          3  |  a       \|  b
+--R         (105a b x  + 210a b x + 105a ) |- - log(----------------------)
+--R                                       \|  b             b x + a
+--R       + 
+--R             3 3         2 2       2          3  +-+
+--R         (16b x  - 112a b x  - 350a b x - 210a )\|x
+--R    /
+--R          6 2        5       2 4
+--R       24b x  + 48a b x + 24a b
+--R     ,
+--R
+--R                                        +-+      +-+
+--R                2 2       2          3  |a      \|x
+--R         (105a b x  + 210a b x + 105a ) |- atan(----)
+--R                                       \|b       +-+
+--R                                                 |a
+--R                                                 |-
+--R                                                \|b
+--R       + 
+--R            3 3        2 2       2          3  +-+
+--R         (8b x  - 56a b x  - 175a b x - 105a )\|x
+--R    /
+--R          6 2        5       2 4
+--R       12b x  + 24a b x + 12a b
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2339
+
+--S 2340 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                            +---+
+--R                            |  a  +-+
+--R            +---+        2b |- - \|x  + b x - a                 +-+ +-+
+--R            |  a  +-+      \|  b                       +-+     \|b \|x
+--R        35a |- - \|b log(----------------------) - 70a\|a atan(--------)
+--R           \|  b                 b x + a                          +-+
+--R                                                                 \|a
+--R   (4)  ----------------------------------------------------------------
+--R                                       4 +-+
+--R                                     8b \|b
+--R                                                    Type: Expression(Integer)
+--E 2340
+
+--S 2341 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2341
+
+--S 2342 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +-+ +-+        +-+          +-+
+--R              +-+     \|b \|x         |a  +-+     \|x
+--R        - 35a\|a atan(--------) + 35a |- \|b atan(----)
+--R                         +-+         \|b           +-+
+--R                        \|a                        |a
+--R                                                   |-
+--R                                                  \|b
+--R   (6)  -----------------------------------------------
+--R                              4 +-+
+--R                            4b \|b
+--R                                                    Type: Expression(Integer)
+--E 2342
+
+--S 2343 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2343
+
+)clear all
+
+--S 2344 of 3330
+t0000:=x^(5/2)/(a+b*x)^3
+--R 
+--R
+--R                    2 +-+
+--R                   x \|x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2344
+
+--S 2345 of 3330
+r0000:=-1/2*x^(5/2)/(b*(a+b*x)^2)-5/4*x^(3/2)/(b^2*(a+b*x))-_
+     15/4*atan(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(a)/b^(7/2)+15/4*sqrt(x)/b^3
+--R 
+--R
+--R   (2)
+--R                                            +-+ +-+
+--R             2 2                2  +-+     \|b \|x
+--R       (- 15b x  - 30a b x - 15a )\|a atan(--------)
+--R                                              +-+
+--R                                             \|a
+--R     + 
+--R          2 2                2  +-+ +-+
+--R       (8b x  + 25a b x + 15a )\|b \|x
+--R  /
+--R        5 2       4      2 3  +-+
+--R     (4b x  + 8a b x + 4a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 2345
+
+--S 2346 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                                 +---+
+--R                                                 |  a  +-+
+--R                                   +---+    - 2b |- - \|x  + b x - a
+--R             2 2                2  |  a         \|  b
+--R         (15b x  + 30a b x + 15a ) |- - log(------------------------)
+--R                                  \|  b              b x + a
+--R       + 
+--R             2 2                2  +-+
+--R         (16b x  + 50a b x + 30a )\|x
+--R    /
+--R         5 2        4      2 3
+--R       8b x  + 16a b x + 8a b
+--R     ,
+--R                                +-+      +-+
+--R          2 2                2  |a      \|x        2 2                2  +-+
+--R    (- 15b x  - 30a b x - 15a ) |- atan(----) + (8b x  + 25a b x + 15a )\|x
+--R                               \|b       +-+
+--R                                         |a
+--R                                         |-
+--R                                        \|b
+--R    ------------------------------------------------------------------------]
+--R                               5 2       4      2 3
+--R                             4b x  + 8a b x + 4a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2346
+
+--S 2347 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                              +---+
+--R                              |  a  +-+
+--R            +---+        - 2b |- - \|x  + b x - a               +-+ +-+
+--R            |  a  +-+        \|  b                     +-+     \|b \|x
+--R        15  |- - \|b log(------------------------ + 30\|a atan(--------)
+--R           \|  b                  b x + a                         +-+
+--R                                                                 \|a
+--R   (4)  ----------------------------------------------------------------
+--R                                       3 +-+
+--R                                     8b \|b
+--R                                                    Type: Expression(Integer)
+--E 2347
+
+--S 2348 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2348
+
+--S 2349 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                    +-+ +-+        +-+          +-+
+--R           +-+     \|b \|x         |a  +-+     \|x
+--R        15\|a atan(--------) - 15  |- \|b atan(----)
+--R                      +-+         \|b           +-+
+--R                     \|a                        |a
+--R                                                |-
+--R                                               \|b
+--R   (6)  -------------------------------------------
+--R                            3 +-+
+--R                          4b \|b
+--R                                                    Type: Expression(Integer)
+--E 2349
+
+--S 2350 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2350
+
+)clear all
+
+--S 2351 of 3330
+t0000:=x^(3/2)/(a+b*x)^3
+--R 
+--R
+--R                      +-+
+--R                    x\|x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2351
+
+--S 2352 of 3330
+r0000:=-1/2*x^(3/2)/(b*(a+b*x)^2)+_
+     3/4*atan(sqrt(b)*sqrt(x)/sqrt(a))/(b^(5/2)*sqrt(a))-_
+     3/4*sqrt(x)/(b^2*(a+b*x))
+--R 
+--R
+--R                                    +-+ +-+
+--R           2 2              2      \|b \|x                   +-+ +-+ +-+
+--R        (3b x  + 6a b x + 3a )atan(--------) + (- 5b x - 3a)\|a \|b \|x
+--R                                      +-+
+--R                                     \|a
+--R   (2)  ----------------------------------------------------------------
+--R                           4 2       3      2 2  +-+ +-+
+--R                        (4b x  + 8a b x + 4a b )\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2352
+
+--S 2353 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                        +-+             +-----+
+--R            2 2              2     2a b\|x  + (b x - a)\|- a b
+--R         (3b x  + 6a b x + 3a )log(----------------------------)
+--R                                              b x + a
+--R       + 
+--R                        +-----+ +-+
+--R         (- 10b x - 6a)\|- a b \|x
+--R    /
+--R          4 2        3      2 2  +-----+
+--R       (8b x  + 16a b x + 8a b )\|- a b
+--R     ,
+--R                                +---+ +-+
+--R       2 2              2      \|a b \|x                   +---+ +-+
+--R    (3b x  + 6a b x + 3a )atan(----------) + (- 5b x - 3a)\|a b \|x
+--R                                    a
+--R    ----------------------------------------------------------------]
+--R                        4 2       3      2 2  +---+
+--R                     (4b x  + 8a b x + 4a b )\|a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2353
+
+--S 2354 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                          +-+             +-----+                   +-+ +-+
+--R          +-+ +-+    2a b\|x  + (b x - a)\|- a b       +-----+     \|b \|x
+--R        3\|a \|b log(----------------------------) - 6\|- a b atan(--------)
+--R                                b x + a                               +-+
+--R                                                                     \|a
+--R   (4)  --------------------------------------------------------------------
+--R                                   2 +-----+ +-+ +-+
+--R                                 8b \|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2354
+
+--S 2355 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2355
+
+--S 2356 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +---+ +-+                 +-+ +-+
+--R          +-+ +-+     \|a b \|x       +---+     \|b \|x
+--R        3\|a \|b atan(----------) - 3\|a b atan(--------)
+--R                           a                       +-+
+--R                                                  \|a
+--R   (6)  -------------------------------------------------
+--R                          2 +-+ +-+ +---+
+--R                        4b \|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2356
+
+--S 2357 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2357
+
+)clear all
+
+--S 2358 of 3330
+t0000:=sqrt(x)/(a+b*x)^3
+--R 
+--R
+--R                     +-+
+--R                    \|x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  + 3a b x  + 3a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2358
+
+--S 2359 of 3330
+r0000:=1/4*atan(sqrt(b)*sqrt(x)/sqrt(a))/(a^(3/2)*b^(3/2))-_
+     1/2*sqrt(x)/(b*(a+b*x)^2)+1/4*sqrt(x)/(a*b*(a+b*x))
+--R 
+--R
+--R                                  +-+ +-+
+--R          2 2             2      \|b \|x               +-+ +-+ +-+
+--R        (b x  + 2a b x + a )atan(--------) + (b x - a)\|a \|b \|x
+--R                                    +-+
+--R                                   \|a
+--R   (2)  ----------------------------------------------------------
+--R                          3 2     2 2      3   +-+ +-+
+--R                     (4a b x  + 8a b x + 4a b)\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2359
+
+--S 2360 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                      +-+             +-----+
+--R           2 2             2     2a b\|x  + (b x - a)\|- a b
+--R         (b x  + 2a b x + a )log(----------------------------)
+--R                                            b x + a
+--R       + 
+--R                     +-----+ +-+
+--R         (2b x - 2a)\|- a b \|x
+--R    /
+--R            3 2      2 2      3   +-----+
+--R       (8a b x  + 16a b x + 8a b)\|- a b
+--R     ,
+--R                              +---+ +-+
+--R      2 2             2      \|a b \|x               +---+ +-+
+--R    (b x  + 2a b x + a )atan(----------) + (b x - a)\|a b \|x
+--R                                  a
+--R    ----------------------------------------------------------]
+--R                       3 2     2 2      3   +---+
+--R                  (4a b x  + 8a b x + 4a b)\|a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2360
+
+--S 2361 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                         +-+             +-----+                   +-+ +-+
+--R         +-+ +-+    2a b\|x  + (b x - a)\|- a b       +-----+     \|b \|x
+--R        \|a \|b log(----------------------------) - 2\|- a b atan(--------)
+--R                               b x + a                               +-+
+--R                                                                    \|a
+--R   (4)  -------------------------------------------------------------------
+--R                                     +-----+ +-+ +-+
+--R                                8a b\|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2361
+
+--S 2362 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2362
+
+--S 2363 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +---+ +-+                +-+ +-+
+--R         +-+ +-+     \|a b \|x      +---+     \|b \|x
+--R        \|a \|b atan(----------) - \|a b atan(--------)
+--R                          a                      +-+
+--R                                                \|a
+--R   (6)  -----------------------------------------------
+--R                            +-+ +-+ +---+
+--R                       4a b\|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2363
+
+--S 2364 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2364
+
+)clear all
+
+--S 2365 of 3330
+t0000:=1/((a+b*x)^3*sqrt(x))
+--R 
+--R
+--R                         1
+--R   (1)  ----------------------------------
+--R          3 3       2 2     2       3  +-+
+--R        (b x  + 3a b x  + 3a b x + a )\|x
+--R                                                    Type: Expression(Integer)
+--E 2365
+
+--S 2366 of 3330
+r0000:=3/4*atan(sqrt(b)*sqrt(x)/sqrt(a))/(a^(5/2)*sqrt(b))+_
+     1/2*sqrt(x)/(a*(a+b*x)^2)+3/4*sqrt(x)/(a^2*(a+b*x))
+--R 
+--R
+--R                                    +-+ +-+
+--R           2 2              2      \|b \|x                 +-+ +-+ +-+
+--R        (3b x  + 6a b x + 3a )atan(--------) + (3b x + 5a)\|a \|b \|x
+--R                                      +-+
+--R                                     \|a
+--R   (2)  --------------------------------------------------------------
+--R                          2 2 2     3        4  +-+ +-+
+--R                       (4a b x  + 8a b x + 4a )\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2366
+
+--S 2367 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                        +-+             +-----+
+--R            2 2              2     2a b\|x  + (b x - a)\|- a b
+--R         (3b x  + 6a b x + 3a )log(----------------------------)
+--R                                              b x + a
+--R       + 
+--R                      +-----+ +-+
+--R         (6b x + 10a)\|- a b \|x
+--R    /
+--R          2 2 2      3        4  +-----+
+--R       (8a b x  + 16a b x + 8a )\|- a b
+--R     ,
+--R                                +---+ +-+
+--R       2 2              2      \|a b \|x                 +---+ +-+
+--R    (3b x  + 6a b x + 3a )atan(----------) + (3b x + 5a)\|a b \|x
+--R                                    a
+--R    --------------------------------------------------------------]
+--R                       2 2 2     3        4  +---+
+--R                    (4a b x  + 8a b x + 4a )\|a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2367
+
+--S 2368 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                          +-+             +-----+                   +-+ +-+
+--R          +-+ +-+    2a b\|x  + (b x - a)\|- a b       +-----+     \|b \|x
+--R        3\|a \|b log(----------------------------) - 6\|- a b atan(--------)
+--R                                b x + a                               +-+
+--R                                                                     \|a
+--R   (4)  --------------------------------------------------------------------
+--R                                   2 +-----+ +-+ +-+
+--R                                 8a \|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2368
+
+--S 2369 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2369
+
+--S 2370 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +---+ +-+                 +-+ +-+
+--R          +-+ +-+     \|a b \|x       +---+     \|b \|x
+--R        3\|a \|b atan(----------) - 3\|a b atan(--------)
+--R                           a                       +-+
+--R                                                  \|a
+--R   (6)  -------------------------------------------------
+--R                          2 +-+ +-+ +---+
+--R                        4a \|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2370
+
+--S 2371 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2371
+
+)clear all
+
+--S 2372 of 3330
+t0000:=1/(x^(3/2)*(a+b*x)^3)
+--R 
+--R
+--R                          1
+--R   (1)  ------------------------------------
+--R          3 4       2 3     2   2    3   +-+
+--R        (b x  + 3a b x  + 3a b x  + a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 2372
+
+--S 2373 of 3330
+r0000:=-15/4*atan(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(b)/a^(7/2)+_
+     (-15/4)/(a^3*sqrt(x))+1/2/(a*(a+b*x)^2*sqrt(x))+_
+     5/4/(a^2*(a+b*x)*sqrt(x))
+--R 
+--R
+--R   (2)
+--R                                                +-+ +-+
+--R             2 2                2  +-+ +-+     \|b \|x
+--R       (- 15b x  - 30a b x - 15a )\|b \|x atan(--------)
+--R                                                  +-+
+--R                                                 \|a
+--R     + 
+--R             2 2               2  +-+
+--R       (- 15b x  - 25a b x - 8a )\|a
+--R  /
+--R        3 2 2     4        5  +-+ +-+
+--R     (4a b x  + 8a b x + 4a )\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2373
+
+--S 2374 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                                     +---+
+--R                                                     |  b  +-+
+--R                                   +---+        - 2a |- - \|x  + b x - a
+--R             2 2                2  |  b  +-+        \|  a
+--R         (15b x  + 30a b x + 15a ) |- - \|x log(------------------------)
+--R                                  \|  a                  b x + a
+--R       + 
+--R              2 2                2
+--R         - 30b x  - 50a b x - 16a
+--R    /
+--R          3 2 2      4        5  +-+
+--R       (8a b x  + 16a b x + 8a )\|x
+--R     ,
+--R                                +-+           +-+
+--R          2 2                2  |b  +-+     b\|x        2 2               2
+--R    (- 15b x  - 30a b x - 15a ) |- \|x atan(-----) - 15b x  - 25a b x - 8a
+--R                               \|a            +-+
+--R                                              |b
+--R                                            a |-
+--R                                             \|a
+--R    -----------------------------------------------------------------------]
+--R                             3 2 2     4        5  +-+
+--R                          (4a b x  + 8a b x + 4a )\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2374
+
+--S 2375 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                              +---+
+--R                              |  b  +-+
+--R            +---+        - 2a |- - \|x  + b x - a               +-+ +-+
+--R            |  b  +-+        \|  a                     +-+     \|b \|x
+--R        15  |- - \|a log(------------------------ + 30\|b atan(--------)
+--R           \|  a                  b x + a                         +-+
+--R                                                                 \|a
+--R   (4)  ----------------------------------------------------------------
+--R                                       3 +-+
+--R                                     8a \|a
+--R                                                    Type: Expression(Integer)
+--E 2375
+
+--S 2376 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2376
+
+--S 2377 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                    +-+ +-+           +-+       +-+
+--R           +-+     \|b \|x        +-+ |b      b\|x
+--R        15\|b atan(--------) - 15\|a  |- atan(-----)
+--R                      +-+            \|a        +-+
+--R                     \|a                        |b
+--R                                              a |-
+--R                                               \|a
+--R   (6)  --------------------------------------------
+--R                             3 +-+
+--R                           4a \|a
+--R                                                    Type: Expression(Integer)
+--E 2377
+
+--S 2378 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2378
+
+)clear all
+
+--S 2379 of 3330
+t0000:=1/(x^(5/2)*(a+b*x)^3)
+--R 
+--R
+--R                          1
+--R   (1)  -------------------------------------
+--R          3 5       2 4     2   3    3 2  +-+
+--R        (b x  + 3a b x  + 3a b x  + a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2379
+
+--S 2380 of 3330
+r0000:=(-35/12)/(a^3*x^(3/2))+1/2/(a*x^(3/2)*(a+b*x)^2)+_
+     7/4/(a^2*x^(3/2)*(a+b*x))+35/4*b^(3/2)*_
+     atan(sqrt(b)*sqrt(x)/sqrt(a))/a^(9/2)+35/4*b/(a^4*sqrt(x))
+--R 
+--R
+--R   (2)
+--R                                                     +-+ +-+
+--R            3 3         2 2       2     +-+ +-+     \|b \|x
+--R       (105b x  + 210a b x  + 105a b x)\|b \|x atan(--------)
+--R                                                       +-+
+--R                                                      \|a
+--R     + 
+--R            3 3         2 2      2        3  +-+
+--R       (105b x  + 175a b x  + 56a b x - 8a )\|a
+--R  /
+--R         4 2 3      5   2      6   +-+ +-+
+--R     (12a b x  + 24a b x  + 12a x)\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2380
+
+--S 2381 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                                          +---+
+--R                                                          |  b  +-+
+--R                                          +---+        2a |- - \|x  + b x - a
+--R              3 3         2 2       2     |  b  +-+      \|  a
+--R         (105b x  + 210a b x  + 105a b x) |- - \|x log(----------------------)
+--R                                         \|  a                 b x + a
+--R       + 
+--R             3 3         2 2       2         3
+--R         210b x  + 350a b x  + 112a b x - 16a
+--R    /
+--R           4 2 3      5   2      6   +-+
+--R       (24a b x  + 48a b x  + 24a x)\|x
+--R     ,
+--R
+--R                                          +-+           +-+
+--R              3 3         2 2       2     |b  +-+     b\|x         3 3
+--R         (105b x  + 210a b x  + 105a b x) |- \|x atan(-----) + 105b x
+--R                                         \|a            +-+
+--R                                                        |b
+--R                                                      a |-
+--R                                                       \|a
+--R       + 
+--R               2 2      2        3
+--R         175a b x  + 56a b x - 8a
+--R    /
+--R           4 2 3      5   2      6   +-+
+--R       (12a b x  + 24a b x  + 12a x)\|x
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2381
+
+--S 2382 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                            +---+
+--R                            |  b  +-+
+--R            +---+        2a |- - \|x  + b x - a                 +-+ +-+
+--R            |  b  +-+      \|  a                       +-+     \|b \|x
+--R        35b |- - \|a log(----------------------) - 70b\|b atan(--------)
+--R           \|  a                 b x + a                          +-+
+--R                                                                 \|a
+--R   (4)  ----------------------------------------------------------------
+--R                                       4 +-+
+--R                                     8a \|a
+--R                                                    Type: Expression(Integer)
+--E 2382
+
+--S 2383 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2383
+
+--S 2384 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +-+ +-+            +-+       +-+
+--R              +-+     \|b \|x         +-+ |b      b\|x
+--R        - 35b\|b atan(--------) + 35b\|a  |- atan(-----)
+--R                         +-+             \|a        +-+
+--R                        \|a                         |b
+--R                                                  a |-
+--R                                                   \|a
+--R   (6)  ------------------------------------------------
+--R                               4 +-+
+--R                             4a \|a
+--R                                                    Type: Expression(Integer)
+--E 2384
+
+--S 2385 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2385
+
+)clear all
+
+--S 2386 of 3330
+t0000:=x^(5/2)/(-a+b*x)
+--R 
+--R
+--R          2 +-+
+--R         x \|x
+--R   (1)  -------
+--R        b x - a
+--R                                                    Type: Expression(Integer)
+--E 2386
+
+--S 2387 of 3330
+r0000:=2/3*a*x^(3/2)/b^2+2/5*x^(5/2)/b-_
+     2*a^(5/2)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/b^(7/2)+2*a^2*sqrt(x)/b^3
+--R 
+--R
+--R                         +-+ +-+
+--R             2 +-+      \|b \|x        2 2                2  +-+ +-+
+--R        - 30a \|a atanh(--------) + (6b x  + 10a b x + 30a )\|b \|x
+--R                           +-+
+--R                          \|a
+--R   (2)  ------------------------------------------------------------
+--R                                     3 +-+
+--R                                  15b \|b
+--R                                                    Type: Expression(Integer)
+--E 2387
+
+--S 2388 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                     +-+
+--R                     |a  +-+
+--R         +-+    - 2b |- \|x  + b x + a
+--R       2 |a         \|b                      2 2                2  +-+
+--R    15a  |- log(----------------------) + (6b x  + 10a b x + 30a )\|x
+--R        \|b             b x - a
+--R   [------------------------------------------------------------------,
+--R                                      3
+--R                                   15b
+--R           +---+       +-+
+--R         2 |  a       \|x         2 2                2  +-+
+--R    - 30a  |- - atan(------) + (6b x  + 10a b x + 30a )\|x
+--R          \|  b       +---+
+--R                      |  a
+--R                      |- -
+--R                     \|  b
+--R    -------------------------------------------------------]
+--R                                 3
+--R                              15b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2388
+
+--S 2389 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +-+
+--R                           |a  +-+
+--R           +-+        - 2b |- \|x  + b x + a                  +-+ +-+
+--R         2 |a  +-+        \|b                     2 +-+      \|b \|x
+--R        a  |- \|b log(----------------------) + 2a \|a atanh(--------)
+--R          \|b                 b x - a                           +-+
+--R                                                               \|a
+--R   (4)  --------------------------------------------------------------
+--R                                     3 +-+
+--R                                    b \|b
+--R                                                    Type: Expression(Integer)
+--E 2389
+
+--S 2390 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2390
+
+--S 2391 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-+ +-+        +---+           +-+
+--R          2 +-+      \|b \|x       2 |  a  +-+      \|x
+--R        2a \|a atanh(--------) - 2a  |- - \|b atan(------)
+--R                        +-+         \|  b           +---+
+--R                       \|a                          |  a
+--R                                                    |- -
+--R                                                   \|  b
+--R   (6)  --------------------------------------------------
+--R                               3 +-+
+--R                              b \|b
+--R                                                    Type: Expression(Integer)
+--E 2391
+
+--S 2392 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2392
+
+)clear all
+
+--S 2393 of 3330
+t0000:=x^(3/2)/(-a+b*x)
+--R 
+--R
+--R           +-+
+--R         x\|x
+--R   (1)  -------
+--R        b x - a
+--R                                                    Type: Expression(Integer)
+--E 2393
+
+--S 2394 of 3330
+r0000:=2/3*x^(3/2)/b-2*a^(3/2)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/b^(5/2)+_
+     2*a*sqrt(x)/b^2
+--R 
+--R
+--R                       +-+ +-+
+--R             +-+      \|b \|x                 +-+ +-+
+--R        - 6a\|a atanh(--------) + (2b x + 6a)\|b \|x
+--R                         +-+
+--R                        \|a
+--R   (2)  ---------------------------------------------
+--R                             2 +-+
+--R                           3b \|b
+--R                                                    Type: Expression(Integer)
+--E 2394
+
+--S 2395 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                   +-+
+--R                   |a  +-+
+--R       +-+    - 2b |- \|x  + b x + a
+--R       |a         \|b                               +-+
+--R    3a |- log(----------------------) + (2b x + 6a)\|x
+--R      \|b             b x - a
+--R   [---------------------------------------------------,
+--R                              2
+--R                            3b
+--R         +---+       +-+
+--R         |  a       \|x                  +-+
+--R    - 6a |- - atan(------) + (2b x + 6a)\|x
+--R        \|  b       +---+
+--R                    |  a
+--R                    |- -
+--R                   \|  b
+--R    ----------------------------------------]
+--R                         2
+--R                       3b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2395
+
+--S 2396 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                          +-+
+--R                          |a  +-+
+--R          +-+        - 2b |- \|x  + b x + a                 +-+ +-+
+--R          |a  +-+        \|b                      +-+      \|b \|x
+--R        a |- \|b log(----------------------) + 2a\|a atanh(--------)
+--R         \|b                 b x - a                          +-+
+--R                                                             \|a
+--R   (4)  ------------------------------------------------------------
+--R                                    2 +-+
+--R                                   b \|b
+--R                                                    Type: Expression(Integer)
+--E 2396
+
+--S 2397 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2397
+
+--S 2398 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                     +-+ +-+       +---+           +-+
+--R           +-+      \|b \|x        |  a  +-+      \|x
+--R        2a\|a atanh(--------) - 2a |- - \|b atan(------)
+--R                       +-+        \|  b           +---+
+--R                      \|a                         |  a
+--R                                                  |- -
+--R                                                 \|  b
+--R   (6)  ------------------------------------------------
+--R                              2 +-+
+--R                             b \|b
+--R                                                    Type: Expression(Integer)
+--E 2398
+
+--S 2399 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2399
+
+)clear all
+
+--S 2400 of 3330
+t0000:=sqrt(x)/(-a+b*x)
+--R 
+--R
+--R           +-+
+--R          \|x
+--R   (1)  -------
+--R        b x - a
+--R                                                    Type: Expression(Integer)
+--E 2400
+
+--S 2401 of 3330
+r0000:=-2*atanh(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(a)/b^(3/2)+2*sqrt(x)/b
+--R 
+--R
+--R                      +-+ +-+
+--R            +-+      \|b \|x       +-+ +-+
+--R        - 2\|a atanh(--------) + 2\|b \|x
+--R                        +-+
+--R                       \|a
+--R   (2)  ----------------------------------
+--R                         +-+
+--R                       b\|b
+--R                                                    Type: Expression(Integer)
+--E 2401
+
+--S 2402 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                                                 +---+       +-+
+--R                 +-+                             |  a       \|x       +-+
+--R                 |a  +-+                    - 2  |- - atan(------ + 2\|x
+--R     +-+    - 2b |- \|x  + b x + a              \|  b       +---+
+--R     |a         \|b                     +-+                 |  a
+--R     |- log(----------------------) + 2\|x                  |- -
+--R    \|b             b x - a                                \|  b
+--R   [---------------------------------------,-----------------------------]
+--R                       b                                  b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2402
+
+--S 2403 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                         +-+
+--R                         |a  +-+
+--R         +-+        - 2b |- \|x  + b x + a                +-+ +-+
+--R         |a  +-+        \|b                     +-+      \|b \|x
+--R         |- \|b log(----------------------) + 2\|a atanh(--------)
+--R        \|b                 b x - a                         +-+
+--R                                                           \|a
+--R   (4)  ----------------------------------------------------------
+--R                                     +-+
+--R                                   b\|b
+--R                                                    Type: Expression(Integer)
+--E 2403
+
+--S 2404 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2404
+
+--S 2405 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                    +-+ +-+       +---+           +-+
+--R          +-+      \|b \|x        |  a  +-+      \|x
+--R        2\|a atanh(--------) - 2  |- - \|b atan(------)
+--R                      +-+        \|  b           +---+
+--R                     \|a                         |  a
+--R                                                 |- -
+--R                                                \|  b
+--R   (6)  ----------------------------------------------
+--R                               +-+
+--R                             b\|b
+--R                                                    Type: Expression(Integer)
+--E 2405
+
+--S 2406 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2406
+
+)clear all
+
+--S 2407 of 3330
+t0000:=1/((-a+b*x)*sqrt(x))
+--R 
+--R
+--R              1
+--R   (1)  -------------
+--R                  +-+
+--R        (b x - a)\|x
+--R                                                    Type: Expression(Integer)
+--E 2407
+
+--S 2408 of 3330
+r0000:=-2*atanh(sqrt(b)*sqrt(x)/sqrt(a))/(sqrt(a)*sqrt(b))
+--R 
+--R
+--R                  +-+ +-+
+--R                 \|b \|x
+--R          2atanh(--------)
+--R                    +-+
+--R                   \|a
+--R   (2)  - ----------------
+--R               +-+ +-+
+--R              \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2408
+
+--S 2409 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                    +-+             +---+           +-----+ +-+
+--R             - 2a b\|x  + (b x + a)\|a b           \|- a b \|x
+--R         log(----------------------------)   2atan(------------)
+--R                        b x - a                          a
+--R   (3)  [---------------------------------,- -------------------]
+--R                        +---+                       +-----+
+--R                       \|a b                       \|- a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2409
+
+--S 2410 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +-+             +---+                  +-+ +-+
+--R         +-+ +-+    - 2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R        \|a \|b log(----------------------------) + 2\|a b atanh(--------)
+--R                               b x - a                              +-+
+--R                                                                   \|a
+--R   (4)  ------------------------------------------------------------------
+--R                                   +-+ +-+ +---+
+--R                                  \|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2410
+
+--S 2411 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2411
+
+--S 2412 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                        +-+ +-+                   +-----+ +-+
+--R          +-----+      \|b \|x       +-+ +-+     \|- a b \|x
+--R        2\|- a b atanh(--------) - 2\|a \|b atan(------------)
+--R                          +-+                          a
+--R                         \|a
+--R   (6)  ------------------------------------------------------
+--R                            +-----+ +-+ +-+
+--R                           \|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2412
+
+--S 2413 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2413
+
+)clear all
+
+--S 2414 of 3330
+t0000:=1/(x^(3/2)*(-a+b*x))
+--R 
+--R
+--R                1
+--R   (1)  ----------------
+--R            2        +-+
+--R        (b x  - a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 2414
+
+--S 2415 of 3330
+r0000:=-2*atanh(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(b)/a^(3/2)+2/(a*sqrt(x))
+--R 
+--R
+--R                          +-+ +-+
+--R            +-+ +-+      \|b \|x       +-+
+--R        - 2\|b \|x atanh(--------) + 2\|a
+--R                            +-+
+--R                           \|a
+--R   (2)  ----------------------------------
+--R                       +-+ +-+
+--R                     a\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2415
+
+--S 2416 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                                                 +---+            +-+
+--R                     +-+                         |  b  +-+      b\|x
+--R                     |b  +-+                - 2  |- - \|x atan(------- + 2
+--R     +-+        - 2a |- \|x  + b x + a          \|  a            +---+
+--R     |b  +-+        \|a                                          |  b
+--R     |- \|x log(----------------------) + 2                    a |- -
+--R    \|a                 b x - a                                 \|  a
+--R   [---------------------------------------,------------------------------]
+--R                       +-+                                 +-+
+--R                     a\|x                                a\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2416
+
+--S 2417 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                         +-+
+--R                         |b  +-+
+--R             +-+    - 2a |- \|x  + b x + a                +-+ +-+
+--R         +-+ |b         \|a                     +-+      \|b \|x
+--R        \|a  |- log(----------------------) + 2\|b atanh(--------)
+--R            \|a             b x - a                         +-+
+--R                                                           \|a
+--R   (4)  ----------------------------------------------------------
+--R                                     +-+
+--R                                   a\|a
+--R                                                    Type: Expression(Integer)
+--E 2417
+
+--S 2418 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2418
+
+--S 2419 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                    +-+ +-+       +---+            +-+
+--R          +-+      \|b \|x        |  b  +-+      b\|x
+--R        2\|b atanh(--------) - 2  |- - \|a atan(-------)
+--R                      +-+        \|  a            +---+
+--R                     \|a                          |  b
+--R                                                a |- -
+--R                                                 \|  a
+--R   (6)  -----------------------------------------------
+--R                               +-+
+--R                             a\|a
+--R                                                    Type: Expression(Integer)
+--E 2419
+
+--S 2420 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2420
+
+)clear all
+
+--S 2421 of 3330
+t0000:=1/(x^(5/2)*(-a+b*x))
+--R 
+--R
+--R                1
+--R   (1)  -----------------
+--R            3      2  +-+
+--R        (b x  - a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2421
+
+--S 2422 of 3330
+r0000:=2/3/(a*x^(3/2))-2*b^(3/2)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/a^(5/2)+_
+     2*b/(a^2*sqrt(x))
+--R 
+--R
+--R                             +-+ +-+
+--R               +-+ +-+      \|b \|x                 +-+
+--R        - 6b x\|b \|x atanh(--------) + (6b x + 2a)\|a
+--R                               +-+
+--R                              \|a
+--R   (2)  -----------------------------------------------
+--R                            2  +-+ +-+
+--R                          3a x\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2422
+
+--S 2423 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                         +-+
+--R                         |b  +-+
+--R         +-+        - 2a |- \|x  + b x + a
+--R         |b  +-+        \|a
+--R    3b x |- \|x log(----------------------) + 6b x + 2a
+--R        \|a                 b x - a
+--R   [---------------------------------------------------,
+--R                            2  +-+
+--R                          3a x\|x
+--R           +---+            +-+
+--R           |  b  +-+      b\|x
+--R    - 6b x |- - \|x atan(-------) + 6b x + 2a
+--R          \|  a            +---+
+--R                           |  b
+--R                         a |- -
+--R                          \|  a
+--R    -----------------------------------------]
+--R                       2  +-+
+--R                     3a x\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2423
+
+--S 2424 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                          +-+
+--R                          |b  +-+
+--R              +-+    - 2a |- \|x  + b x + a                 +-+ +-+
+--R          +-+ |b         \|a                      +-+      \|b \|x
+--R        b\|a  |- log(----------------------) + 2b\|b atanh(--------)
+--R             \|a             b x - a                          +-+
+--R                                                             \|a
+--R   (4)  ------------------------------------------------------------
+--R                                    2 +-+
+--R                                   a \|a
+--R                                                    Type: Expression(Integer)
+--E 2424
+
+--S 2425 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2425
+
+--S 2426 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                     +-+ +-+       +---+            +-+
+--R           +-+      \|b \|x        |  b  +-+      b\|x
+--R        2b\|b atanh(--------) - 2b |- - \|a atan(-------)
+--R                       +-+        \|  a            +---+
+--R                      \|a                          |  b
+--R                                                 a |- -
+--R                                                  \|  a
+--R   (6)  -------------------------------------------------
+--R                               2 +-+
+--R                              a \|a
+--R                                                    Type: Expression(Integer)
+--E 2426
+
+--S 2427 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2427
+
+)clear all
+
+--S 2428 of 3330
+t0000:=1/(x^(7/2)*(-a+b*x))
+--R 
+--R
+--R                1
+--R   (1)  -----------------
+--R            4      3  +-+
+--R        (b x  - a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2428
+
+--S 2429 of 3330
+r0000:=2/5/(a*x^(5/2))+2/3*b/(a^2*x^(3/2))-_
+     2*b^(5/2)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/a^(7/2)+2*b^2/(a^3*sqrt(x))
+--R 
+--R
+--R                               +-+ +-+
+--R             2 2 +-+ +-+      \|b \|x         2 2               2  +-+
+--R        - 30b x \|b \|x atanh(--------) + (30b x  + 10a b x + 6a )\|a
+--R                                 +-+
+--R                                \|a
+--R   (2)  --------------------------------------------------------------
+--R                                   3 2 +-+ +-+
+--R                                15a x \|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2429
+
+--S 2430 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                           +-+
+--R                           |b  +-+
+--R           +-+        - 2a |- \|x  + b x + a
+--R       2 2 |b  +-+        \|a                      2 2               2
+--R    15b x  |- \|x log(----------------------) + 30b x  + 10a b x + 6a
+--R          \|a                 b x - a
+--R   [------------------------------------------------------------------,
+--R                                   3 2 +-+
+--R                                15a x \|x
+--R             +---+            +-+
+--R         2 2 |  b  +-+      b\|x         2 2               2
+--R    - 30b x  |- - \|x atan(-------) + 30b x  + 10a b x + 6a
+--R            \|  a            +---+
+--R                             |  b
+--R                           a |- -
+--R                            \|  a
+--R    --------------------------------------------------------]
+--R                              3 2 +-+
+--R                           15a x \|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2430
+
+--S 2431 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +-+
+--R                           |b  +-+
+--R               +-+    - 2a |- \|x  + b x + a                  +-+ +-+
+--R         2 +-+ |b         \|a                     2 +-+      \|b \|x
+--R        b \|a  |- log(----------------------) + 2b \|b atanh(--------)
+--R              \|a             b x - a                           +-+
+--R                                                               \|a
+--R   (4)  --------------------------------------------------------------
+--R                                     3 +-+
+--R                                    a \|a
+--R                                                    Type: Expression(Integer)
+--E 2431
+
+--S 2432 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2432
+
+--S 2433 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-+ +-+        +---+            +-+
+--R          2 +-+      \|b \|x       2 |  b  +-+      b\|x
+--R        2b \|b atanh(--------) - 2b  |- - \|a atan(-------)
+--R                        +-+         \|  a            +---+
+--R                       \|a                           |  b
+--R                                                   a |- -
+--R                                                    \|  a
+--R   (6)  ---------------------------------------------------
+--R                                3 +-+
+--R                               a \|a
+--R                                                    Type: Expression(Integer)
+--E 2433
+
+--S 2434 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2434
+
+)clear all
+
+--S 2435 of 3330
+t0000:=x^(5/2)/(-a+b*x)^2
+--R 
+--R
+--R               2 +-+
+--R              x \|x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  - 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2435
+
+--S 2436 of 3330
+r0000:=5/3*x^(3/2)/b^2+x^(5/2)/(b*(a-b*x))-_
+     5*a^(3/2)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/b^(7/2)+5*a*sqrt(x)/b^3
+--R 
+--R
+--R   (2)
+--R                                +-+ +-+
+--R                   2  +-+      \|b \|x        2 2                2  +-+ +-+
+--R   (- 15a b x + 15a )\|a atanh(--------) + (2b x  + 10a b x - 15a )\|b \|x
+--R                                  +-+
+--R                                 \|a
+--R   ------------------------------------------------------------------------
+--R                                 4        3  +-+
+--R                              (3b x - 3a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 2436
+
+--S 2437 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                      +-+
+--R                                      |a  +-+
+--R                          +-+    - 2b |- \|x  + b x + a
+--R                       2  |a         \|b
+--R         (15a b x - 15a ) |- log(----------------------)
+--R                         \|b             b x - a
+--R       + 
+--R            2 2                2  +-+
+--R         (4b x  + 20a b x - 30a )\|x
+--R    /
+--R         4        3
+--R       6b x - 6a b
+--R     ,
+--R                       +---+       +-+
+--R                    2  |  a       \|x         2 2                2  +-+
+--R    (- 15a b x + 15a ) |- - atan(------) + (2b x  + 10a b x - 15a )\|x
+--R                      \|  b       +---+
+--R                                  |  a
+--R                                  |- -
+--R                                 \|  b
+--R    -------------------------------------------------------------------]
+--R                                  4        3
+--R                                3b x - 3a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2437
+
+--S 2438 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +-+
+--R                           |a  +-+
+--R           +-+        - 2b |- \|x  + b x + a                  +-+ +-+
+--R           |a  +-+        \|b                       +-+      \|b \|x
+--R        5a |- \|b log(----------------------) + 10a\|a atanh(--------)
+--R          \|b                 b x - a                           +-+
+--R                                                               \|a
+--R   (4)  --------------------------------------------------------------
+--R                                      3 +-+
+--R                                    2b \|b
+--R                                                    Type: Expression(Integer)
+--E 2438
+
+--S 2439 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2439
+
+--S 2440 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                     +-+ +-+       +---+           +-+
+--R           +-+      \|b \|x        |  a  +-+      \|x
+--R        5a\|a atanh(--------) - 5a |- - \|b atan(------)
+--R                       +-+        \|  b           +---+
+--R                      \|a                         |  a
+--R                                                  |- -
+--R                                                 \|  b
+--R   (6)  ------------------------------------------------
+--R                              3 +-+
+--R                             b \|b
+--R                                                    Type: Expression(Integer)
+--E 2440
+
+--S 2441 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2441
+
+)clear all
+
+--S 2442 of 3330
+t0000:=x^(3/2)/(-a+b*x)^2
+--R 
+--R
+--R                 +-+
+--R               x\|x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  - 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2442
+
+--S 2443 of 3330
+r0000:=x^(3/2)/(b*(a-b*x))-3*atanh(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(a)/b^(5/2)+_
+     3*sqrt(x)/b^2
+--R 
+--R
+--R                                +-+ +-+
+--R                      +-+      \|b \|x                 +-+ +-+
+--R        (- 3b x + 3a)\|a atanh(--------) + (2b x - 3a)\|b \|x
+--R                                  +-+
+--R                                 \|a
+--R   (2)  ------------------------------------------------------
+--R                             3       2  +-+
+--R                           (b x - a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 2443
+
+--S 2444 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                            +-+
+--R                            |a  +-+
+--R                +-+    - 2b |- \|x  + b x + a
+--R                |a         \|b                               +-+
+--R    (3b x - 3a) |- log(----------------------) + (4b x - 6a)\|x
+--R               \|b             b x - a
+--R   [------------------------------------------------------------,
+--R                              3        2
+--R                            2b x - 2a b
+--R                  +---+       +-+
+--R                  |  a       \|x                  +-+
+--R    (- 3b x + 3a) |- - atan(------) + (2b x - 3a)\|x
+--R                 \|  b       +---+
+--R                             |  a
+--R                             |- -
+--R                            \|  b
+--R    -------------------------------------------------]
+--R                         3       2
+--R                        b x - a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2444
+
+--S 2445 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +-+
+--R                           |a  +-+
+--R           +-+        - 2b |- \|x  + b x + a               +-+ +-+
+--R           |a  +-+        \|b                    +-+      \|b \|x
+--R        3  |- \|b log(---------------------- + 6\|a atanh(--------)
+--R          \|b                 b x - a                        +-+
+--R                                                            \|a
+--R   (4)  -----------------------------------------------------------
+--R                                    2 +-+
+--R                                  2b \|b
+--R                                                    Type: Expression(Integer)
+--E 2445
+
+--S 2446 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2446
+
+--S 2447 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                    +-+ +-+       +---+           +-+
+--R          +-+      \|b \|x        |  a  +-+      \|x
+--R        3\|a atanh(--------) - 3  |- - \|b atan(------)
+--R                      +-+        \|  b           +---+
+--R                     \|a                         |  a
+--R                                                 |- -
+--R                                                \|  b
+--R   (6)  ----------------------------------------------
+--R                             2 +-+
+--R                            b \|b
+--R                                                    Type: Expression(Integer)
+--E 2447
+
+--S 2448 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2448
+
+)clear all
+
+--S 2449 of 3330
+t0000:=sqrt(x)/(-a+b*x)^2
+--R 
+--R
+--R                +-+
+--R               \|x
+--R   (1)  ------------------
+--R         2 2             2
+--R        b x  - 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 2449
+
+--S 2450 of 3330
+r0000:=-atanh(sqrt(b)*sqrt(x)/sqrt(a))/(b^(3/2)*sqrt(a))+sqrt(x)/(b*(a-b*x))
+--R 
+--R
+--R                          +-+ +-+
+--R                         \|b \|x      +-+ +-+ +-+
+--R        (- b x + a)atanh(--------) - \|a \|b \|x
+--R                            +-+
+--R                           \|a
+--R   (2)  -----------------------------------------
+--R                     2         +-+ +-+
+--R                   (b x - a b)\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2450
+
+--S 2451 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                        +-+             +---+
+--R                 - 2a b\|x  + (b x + a)\|a b       +---+ +-+
+--R    (b x - a)log(----------------------------) - 2\|a b \|x
+--R                            b x - a
+--R   [--------------------------------------------------------,
+--R                          2          +---+
+--R                       (2b x - 2a b)\|a b
+--R                     +-----+ +-+
+--R                    \|- a b \|x      +-----+ +-+
+--R    (- b x + a)atan(------------) - \|- a b \|x
+--R                          a
+--R    --------------------------------------------]
+--R                   2         +-----+
+--R                 (b x - a b)\|- a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2451
+
+--S 2452 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +-+             +---+                  +-+ +-+
+--R         +-+ +-+    - 2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R        \|a \|b log(----------------------------) + 2\|a b atanh(--------)
+--R                               b x - a                              +-+
+--R                                                                   \|a
+--R   (4)  ------------------------------------------------------------------
+--R                                    +-+ +-+ +---+
+--R                                 2b\|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2452
+
+--S 2453 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2453
+
+--S 2454 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +-+ +-+                  +-----+ +-+
+--R         +-----+      \|b \|x      +-+ +-+     \|- a b \|x
+--R        \|- a b atanh(--------) - \|a \|b atan(------------)
+--R                         +-+                         a
+--R                        \|a
+--R   (6)  ----------------------------------------------------
+--R                            +-----+ +-+ +-+
+--R                          b\|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2454
+
+--S 2455 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2455
+
+)clear all
+
+--S 2456 of 3330
+t0000:=1/((-a+b*x)^2*sqrt(x))
+--R 
+--R
+--R                    1
+--R   (1)  ------------------------
+--R          2 2             2  +-+
+--R        (b x  - 2a b x + a )\|x
+--R                                                    Type: Expression(Integer)
+--E 2456
+
+--S 2457 of 3330
+r0000:=atanh(sqrt(b)*sqrt(x)/sqrt(a))/(a^(3/2)*sqrt(b))+sqrt(x)/(a*(a-b*x))
+--R 
+--R
+--R                        +-+ +-+
+--R                       \|b \|x      +-+ +-+ +-+
+--R        (b x - a)atanh(--------) - \|a \|b \|x
+--R                          +-+
+--R                         \|a
+--R   (2)  ---------------------------------------
+--R                            2  +-+ +-+
+--R                  (a b x - a )\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2457
+
+--S 2458 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                      +-+             +---+
+--R                 2a b\|x  + (b x + a)\|a b       +---+ +-+
+--R    (b x - a)log(--------------------------) - 2\|a b \|x
+--R                           b x - a
+--R   [------------------------------------------------------,
+--R                                 2  +---+
+--R                     (2a b x - 2a )\|a b
+--R                   +-----+ +-+
+--R                  \|- a b \|x      +-----+ +-+
+--R    (b x - a)atan(------------) - \|- a b \|x
+--R                        a
+--R    ------------------------------------------]
+--R                         2  +-----+
+--R               (a b x - a )\|- a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2458
+
+--S 2459 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                         +-+             +---+                  +-+ +-+
+--R         +-+ +-+    2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R        \|a \|b log(--------------------------) - 2\|a b atanh(--------)
+--R                              b x - a                             +-+
+--R                                                                 \|a
+--R   (4)  ----------------------------------------------------------------
+--R                                   +-+ +-+ +---+
+--R                                2a\|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2459
+
+--S 2460 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2460
+
+--S 2461 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-+ +-+                  +-----+ +-+
+--R           +-----+      \|b \|x      +-+ +-+     \|- a b \|x
+--R        - \|- a b atanh(--------) + \|a \|b atan(------------)
+--R                           +-+                         a
+--R                          \|a
+--R   (6)  ------------------------------------------------------
+--R                             +-----+ +-+ +-+
+--R                           a\|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2461
+
+--S 2462 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2462
+
+)clear all
+
+--S 2463 of 3330
+t0000:=1/(x^(3/2)*(-a+b*x)^2)
+--R 
+--R
+--R                     1
+--R   (1)  --------------------------
+--R          2 3         2    2   +-+
+--R        (b x  - 2a b x  + a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 2463
+
+--S 2464 of 3330
+r0000:=3*atanh(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(b)/a^(5/2)+_
+     (-3)/(a^2*sqrt(x))+1/(a*(a-b*x)*sqrt(x))
+--R 
+--R
+--R                                  +-+ +-+
+--R                    +-+ +-+      \|b \|x                   +-+
+--R        (3b x - 3a)\|b \|x atanh(--------) + (- 3b x + 2a)\|a
+--R                                    +-+
+--R                                   \|a
+--R   (2)  ------------------------------------------------------
+--R                           2       3  +-+ +-+
+--R                         (a b x - a )\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2464
+
+--S 2465 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                              +-+
+--R                              |b  +-+
+--R                +-+        2a |- \|x  + b x + a
+--R                |b  +-+      \|a
+--R    (3b x - 3a) |- \|x log(--------------------) - 6b x + 4a
+--R               \|a                b x - a
+--R   [--------------------------------------------------------,
+--R                          2        3  +-+
+--R                       (2a b x - 2a )\|x
+--R                +---+            +-+
+--R                |  b  +-+      b\|x
+--R    (3b x - 3a) |- - \|x atan(-------) - 3b x + 2a
+--R               \|  a            +---+
+--R                                |  b
+--R                              a |- -
+--R                               \|  a
+--R    ----------------------------------------------]
+--R                     2       3  +-+
+--R                   (a b x - a )\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2465
+
+--S 2466 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                        +-+
+--R                        |b  +-+
+--R              +-+    2a |- \|x  + b x + a                +-+ +-+
+--R          +-+ |b       \|a                     +-+      \|b \|x
+--R        3\|a  |- log(--------------------) - 6\|b atanh(--------)
+--R             \|a            b x - a                        +-+
+--R                                                          \|a
+--R   (4)  ---------------------------------------------------------
+--R                                   2 +-+
+--R                                 2a \|a
+--R                                                    Type: Expression(Integer)
+--E 2466
+
+--S 2467 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2467
+
+--S 2468 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-+ +-+       +---+            +-+
+--R            +-+      \|b \|x        |  b  +-+      b\|x
+--R        - 3\|b atanh(--------) + 3  |- - \|a atan(-------)
+--R                        +-+        \|  a            +---+
+--R                       \|a                          |  b
+--R                                                  a |- -
+--R                                                   \|  a
+--R   (6)  -------------------------------------------------
+--R                               2 +-+
+--R                              a \|a
+--R                                                    Type: Expression(Integer)
+--E 2468
+
+--S 2469 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2469
+
+)clear all
+
+--S 2470 of 3330
+t0000:=1/(x^(5/2)*(-a+b*x)^2)
+--R 
+--R
+--R                     1
+--R   (1)  ---------------------------
+--R          2 4         3    2 2  +-+
+--R        (b x  - 2a b x  + a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2470
+
+--S 2471 of 3330
+r0000:=(-5/3)/(a^2*x^(3/2))+1/(a*x^(3/2)*(a-b*x))+_
+     5*b^(3/2)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/a^(7/2)-5*b/(a^3*sqrt(x))
+--R 
+--R
+--R   (2)
+--R                                    +-+ +-+
+--R       2 2            +-+ +-+      \|b \|x           2 2               2  +-+
+--R   (15b x  - 15a b x)\|b \|x atanh(--------) + (- 15b x  + 10a b x + 2a )\|a
+--R                                      +-+
+--R                                     \|a
+--R   --------------------------------------------------------------------------
+--R                               3   2     4   +-+ +-+
+--R                            (3a b x  - 3a x)\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2471
+
+--S 2472 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R                                     +-+
+--R                                     |b  +-+
+--R                       +-+        2a |- \|x  + b x + a
+--R        2 2            |b  +-+      \|a                      2 2               2
+--R    (15b x  - 15a b x) |- \|x log(--------------------) - 30b x  + 20a b x + 4a
+--R                      \|a                b x - a
+--R   [----------------------------------------------------------------------------
+--R                                   3   2     4   +-+
+--R                                (6a b x  - 6a x)\|x
+--R     ,
+--R                       +---+            +-+
+--R        2 2            |  b  +-+      b\|x         2 2               2
+--R    (15b x  - 15a b x) |- - \|x atan(-------) - 15b x  + 10a b x + 2a
+--R                      \|  a            +---+
+--R                                       |  b
+--R                                     a |- -
+--R                                      \|  a
+--R    ------------------------------------------------------------------]
+--R                              3   2     4   +-+
+--R                           (3a b x  - 3a x)\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2472
+
+--S 2473 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                         +-+
+--R                         |b  +-+
+--R               +-+    2a |- \|x  + b x + a                  +-+ +-+
+--R           +-+ |b       \|a                       +-+      \|b \|x
+--R        5b\|a  |- log(--------------------) - 10b\|b atanh(--------)
+--R              \|a            b x - a                          +-+
+--R                                                             \|a
+--R   (4)  ------------------------------------------------------------
+--R                                     3 +-+
+--R                                   2a \|a
+--R                                                    Type: Expression(Integer)
+--E 2473
+
+--S 2474 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2474
+
+--S 2475 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                       +-+ +-+       +---+            +-+
+--R             +-+      \|b \|x        |  b  +-+      b\|x
+--R        - 5b\|b atanh(--------) + 5b |- - \|a atan(-------)
+--R                         +-+        \|  a            +---+
+--R                        \|a                          |  b
+--R                                                   a |- -
+--R                                                    \|  a
+--R   (6)  ---------------------------------------------------
+--R                                3 +-+
+--R                               a \|a
+--R                                                    Type: Expression(Integer)
+--E 2475
+
+--S 2476 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2476
+
+)clear all
+
+--S 2477 of 3330
+t0000:=x^(7/2)/(-a+b*x)^3
+--R 
+--R
+--R                    3 +-+
+--R                   x \|x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  - 3a b x  + 3a b x - a
+--R                                                    Type: Expression(Integer)
+--E 2477
+
+--S 2478 of 3330
+r0000:=35/12*x^(3/2)/b^3-1/2*x^(7/2)/(b*(a-b*x)^2)+_
+     7/4*x^(5/2)/(b^2*(a-b*x))-_
+     35/4*a^(3/2)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/b^(9/2)+35/4*a*sqrt(x)/b^4
+--R 
+--R
+--R   (2)
+--R                                                  +-+ +-+
+--R                2 2       2          3  +-+      \|b \|x
+--R       (- 105a b x  + 210a b x - 105a )\|a atanh(--------)
+--R                                                    +-+
+--R                                                   \|a
+--R     + 
+--R          3 3        2 2       2          3  +-+ +-+
+--R       (8b x  + 56a b x  - 175a b x + 105a )\|b \|x
+--R  /
+--R         6 2        5       2 4  +-+
+--R     (12b x  - 24a b x + 12a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 2478
+
+--S 2479 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                                    +-+
+--R                                                    |a  +-+
+--R                                        +-+    - 2b |- \|x  + b x + a
+--R                2 2       2          3  |a         \|b
+--R         (105a b x  - 210a b x + 105a ) |- log(----------------------)
+--R                                       \|b             b x - a
+--R       + 
+--R             3 3         2 2       2          3  +-+
+--R         (16b x  + 112a b x  - 350a b x + 210a )\|x
+--R    /
+--R          6 2        5       2 4
+--R       24b x  - 48a b x + 24a b
+--R     ,
+--R
+--R                                          +---+       +-+
+--R                  2 2       2          3  |  a       \|x
+--R         (- 105a b x  + 210a b x - 105a ) |- - atan(------)
+--R                                         \|  b       +---+
+--R                                                     |  a
+--R                                                     |- -
+--R                                                    \|  b
+--R       + 
+--R            3 3        2 2       2          3  +-+
+--R         (8b x  + 56a b x  - 175a b x + 105a )\|x
+--R    /
+--R          6 2        5       2 4
+--R       12b x  - 24a b x + 12a b
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2479
+
+--S 2480 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                            +-+
+--R                            |a  +-+
+--R            +-+        - 2b |- \|x  + b x + a                  +-+ +-+
+--R            |a  +-+        \|b                       +-+      \|b \|x
+--R        35a |- \|b log(----------------------) + 70a\|a atanh(--------)
+--R           \|b                 b x - a                           +-+
+--R                                                                \|a
+--R   (4)  ---------------------------------------------------------------
+--R                                      4 +-+
+--R                                    8b \|b
+--R                                                    Type: Expression(Integer)
+--E 2480
+
+--S 2481 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2481
+
+--S 2482 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-+ +-+        +---+           +-+
+--R            +-+      \|b \|x         |  a  +-+      \|x
+--R        35a\|a atanh(--------) - 35a |- - \|b atan(------)
+--R                        +-+         \|  b           +---+
+--R                       \|a                          |  a
+--R                                                    |- -
+--R                                                   \|  b
+--R   (6)  --------------------------------------------------
+--R                                4 +-+
+--R                              4b \|b
+--R                                                    Type: Expression(Integer)
+--E 2482
+
+--S 2483 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2483
+
+)clear all
+
+--S 2484 of 3330
+t0000:=x^(5/2)/(-a+b*x)^3
+--R 
+--R
+--R                    2 +-+
+--R                   x \|x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  - 3a b x  + 3a b x - a
+--R                                                    Type: Expression(Integer)
+--E 2484
+
+--S 2485 of 3330
+r0000:=-1/2*x^(5/2)/(b*(a-b*x)^2)+5/4*x^(3/2)/(b^2*(a-b*x))-_
+     15/4*atanh(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(a)/b^(7/2)+15/4*sqrt(x)/b^3
+--R 
+--R
+--R   (2)
+--R                                             +-+ +-+
+--R             2 2                2  +-+      \|b \|x
+--R       (- 15b x  + 30a b x - 15a )\|a atanh(--------)
+--R                                               +-+
+--R                                              \|a
+--R     + 
+--R          2 2                2  +-+ +-+
+--R       (8b x  - 25a b x + 15a )\|b \|x
+--R  /
+--R        5 2       4      2 3  +-+
+--R     (4b x  - 8a b x + 4a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 2485
+
+--S 2486 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                               +-+
+--R                                               |a  +-+
+--R                                   +-+    - 2b |- \|x  + b x + a
+--R             2 2                2  |a         \|b
+--R         (15b x  - 30a b x + 15a ) |- log(----------------------)
+--R                                  \|b             b x - a
+--R       + 
+--R             2 2                2  +-+
+--R         (16b x  - 50a b x + 30a )\|x
+--R    /
+--R         5 2        4      2 3
+--R       8b x  - 16a b x + 8a b
+--R     ,
+--R                                +---+       +-+
+--R          2 2                2  |  a       \|x         2 2                2  +-+
+--R    (- 15b x  + 30a b x - 15a ) |- - atan(------) + (8b x  - 25a b x + 15a )\|x
+--R                               \|  b       +---+
+--R                                           |  a
+--R                                           |- -
+--R                                          \|  b
+--R    ----------------------------------------------------------------------------
+--R                                 5 2       4      2 3
+--R                               4b x  - 8a b x + 4a b
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2486
+
+--S 2487 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                            +-+
+--R                            |a  +-+
+--R            +-+        - 2b |- \|x  + b x + a                +-+ +-+
+--R            |a  +-+        \|b                     +-+      \|b \|x
+--R        15  |- \|b log(---------------------- + 30\|a atanh(--------)
+--R           \|b                 b x - a                         +-+
+--R                                                              \|a
+--R   (4)  -------------------------------------------------------------
+--R                                     3 +-+
+--R                                   8b \|b
+--R                                                    Type: Expression(Integer)
+--E 2487
+
+--S 2488 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2488
+
+--S 2489 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                     +-+ +-+        +---+           +-+
+--R           +-+      \|b \|x         |  a  +-+      \|x
+--R        15\|a atanh(--------) - 15  |- - \|b atan(------)
+--R                       +-+         \|  b           +---+
+--R                      \|a                          |  a
+--R                                                   |- -
+--R                                                  \|  b
+--R   (6)  ------------------------------------------------
+--R                               3 +-+
+--R                             4b \|b
+--R                                                    Type: Expression(Integer)
+--E 2489
+
+--S 2490 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2490
+
+)clear all
+
+--S 2491 of 3330
+t0000:=x^(3/2)/(-a+b*x)^3
+--R 
+--R
+--R                      +-+
+--R                    x\|x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  - 3a b x  + 3a b x - a
+--R                                                    Type: Expression(Integer)
+--E 2491
+
+--S 2492 of 3330
+r0000:=-1/2*x^(3/2)/(b*(a-b*x)^2)-_
+     3/4*atanh(sqrt(b)*sqrt(x)/sqrt(a))/(b^(5/2)*sqrt(a))+_
+     3/4*sqrt(x)/(b^2*(a-b*x))
+--R 
+--R
+--R                                       +-+ +-+
+--R             2 2              2       \|b \|x                   +-+ +-+ +-+
+--R        (- 3b x  + 6a b x - 3a )atanh(--------) + (- 5b x + 3a)\|a \|b \|x
+--R                                         +-+
+--R                                        \|a
+--R   (2)  -------------------------------------------------------------------
+--R                             4 2       3      2 2  +-+ +-+
+--R                          (4b x  - 8a b x + 4a b )\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2492
+
+--S 2493 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                          +-+             +---+
+--R            2 2              2     - 2a b\|x  + (b x + a)\|a b
+--R         (3b x  - 6a b x + 3a )log(----------------------------)
+--R                                              b x - a
+--R       + 
+--R                        +---+ +-+
+--R         (- 10b x + 6a)\|a b \|x
+--R    /
+--R          4 2        3      2 2  +---+
+--R       (8b x  - 16a b x + 8a b )\|a b
+--R     ,
+--R                                  +-----+ +-+
+--R         2 2              2      \|- a b \|x                   +-----+ +-+
+--R    (- 3b x  + 6a b x - 3a )atan(------------) + (- 5b x + 3a)\|- a b \|x
+--R                                       a
+--R    ----------------------------------------------------------------------]
+--R                          4 2       3      2 2  +-----+
+--R                       (4b x  - 8a b x + 4a b )\|- a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2493
+
+--S 2494 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                            +-+             +---+                  +-+ +-+
+--R          +-+ +-+    - 2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R        3\|a \|b log(----------------------------) + 6\|a b atanh(--------)
+--R                                b x - a                              +-+
+--R                                                                    \|a
+--R   (4)  -------------------------------------------------------------------
+--R                                   2 +-+ +-+ +---+
+--R                                 8b \|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2494
+
+--S 2495 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2495
+
+--S 2496 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                        +-+ +-+                   +-----+ +-+
+--R          +-----+      \|b \|x       +-+ +-+     \|- a b \|x
+--R        3\|- a b atanh(--------) - 3\|a \|b atan(------------)
+--R                          +-+                          a
+--R                         \|a
+--R   (6)  ------------------------------------------------------
+--R                            2 +-----+ +-+ +-+
+--R                          4b \|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2496
+
+--S 2497 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2497
+
+)clear all
+
+--S 2498 of 3330
+t0000:=sqrt(x)/(-a+b*x)^3
+--R 
+--R
+--R                     +-+
+--R                    \|x
+--R   (1)  ----------------------------
+--R         3 3       2 2     2       3
+--R        b x  - 3a b x  + 3a b x - a
+--R                                                    Type: Expression(Integer)
+--E 2498
+
+--S 2499 of 3330
+r0000:=1/4*atanh(sqrt(b)*sqrt(x)/sqrt(a))/(a^(3/2)*b^(3/2))-_
+     1/2*sqrt(x)/(b*(a-b*x)^2)+1/4*sqrt(x)/(a*b*(a-b*x))
+--R 
+--R
+--R                                   +-+ +-+
+--R          2 2             2       \|b \|x                 +-+ +-+ +-+
+--R        (b x  - 2a b x + a )atanh(--------) + (- b x - a)\|a \|b \|x
+--R                                     +-+
+--R                                    \|a
+--R   (2)  -------------------------------------------------------------
+--R                           3 2     2 2      3   +-+ +-+
+--R                      (4a b x  - 8a b x + 4a b)\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2499
+
+--S 2500 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                      +-+             +---+
+--R           2 2             2     2a b\|x  + (b x + a)\|a b
+--R         (b x  - 2a b x + a )log(--------------------------)
+--R                                           b x - a
+--R       + 
+--R                       +---+ +-+
+--R         (- 2b x - 2a)\|a b \|x
+--R    /
+--R            3 2      2 2      3   +---+
+--R       (8a b x  - 16a b x + 8a b)\|a b
+--R     ,
+--R                              +-----+ +-+
+--R      2 2             2      \|- a b \|x                 +-----+ +-+
+--R    (b x  - 2a b x + a )atan(------------) + (- b x - a)\|- a b \|x
+--R                                   a
+--R    ----------------------------------------------------------------]
+--R                         3 2     2 2      3   +-----+
+--R                    (4a b x  - 8a b x + 4a b)\|- a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2500
+
+--S 2501 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                         +-+             +---+                  +-+ +-+
+--R         +-+ +-+    2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R        \|a \|b log(--------------------------) - 2\|a b atanh(--------)
+--R                              b x - a                             +-+
+--R                                                                 \|a
+--R   (4)  ----------------------------------------------------------------
+--R                                    +-+ +-+ +---+
+--R                               8a b\|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2501
+
+--S 2502 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2502
+
+--S 2503 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                         +-+ +-+                  +-----+ +-+
+--R           +-----+      \|b \|x      +-+ +-+     \|- a b \|x
+--R        - \|- a b atanh(--------) + \|a \|b atan(------------)
+--R                           +-+                         a
+--R                          \|a
+--R   (6)  ------------------------------------------------------
+--R                              +-----+ +-+ +-+
+--R                         4a b\|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2503
+
+--S 2504 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2504
+
+)clear all
+
+--S 2505 of 3330
+t0000:=1/((-a+b*x)^3*sqrt(x))
+--R 
+--R
+--R                         1
+--R   (1)  ----------------------------------
+--R          3 3       2 2     2       3  +-+
+--R        (b x  - 3a b x  + 3a b x - a )\|x
+--R                                                    Type: Expression(Integer)
+--E 2505
+
+--S 2506 of 3330
+r0000:=-3/4*atanh(sqrt(b)*sqrt(x)/sqrt(a))/(a^(5/2)*sqrt(b))-_
+     1/2*sqrt(x)/(a*(a-b*x)^2)-3/4*sqrt(x)/(a^2*(a-b*x))
+--R 
+--R
+--R                                       +-+ +-+
+--R             2 2              2       \|b \|x                 +-+ +-+ +-+
+--R        (- 3b x  + 6a b x - 3a )atanh(--------) + (3b x - 5a)\|a \|b \|x
+--R                                         +-+
+--R                                        \|a
+--R   (2)  -----------------------------------------------------------------
+--R                            2 2 2     3        4  +-+ +-+
+--R                         (4a b x  - 8a b x + 4a )\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2506
+
+--S 2507 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                          +-+             +---+
+--R            2 2              2     - 2a b\|x  + (b x + a)\|a b
+--R         (3b x  - 6a b x + 3a )log(----------------------------)
+--R                                              b x - a
+--R       + 
+--R                      +---+ +-+
+--R         (6b x - 10a)\|a b \|x
+--R    /
+--R          2 2 2      3        4  +---+
+--R       (8a b x  - 16a b x + 8a )\|a b
+--R     ,
+--R                                  +-----+ +-+
+--R         2 2              2      \|- a b \|x                 +-----+ +-+
+--R    (- 3b x  + 6a b x - 3a )atan(------------) + (3b x - 5a)\|- a b \|x
+--R                                       a
+--R    --------------------------------------------------------------------]
+--R                         2 2 2     3        4  +-----+
+--R                      (4a b x  - 8a b x + 4a )\|- a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2507
+
+--S 2508 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                            +-+             +---+                  +-+ +-+
+--R          +-+ +-+    - 2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R        3\|a \|b log(----------------------------) + 6\|a b atanh(--------)
+--R                                b x - a                              +-+
+--R                                                                    \|a
+--R   (4)  -------------------------------------------------------------------
+--R                                   2 +-+ +-+ +---+
+--R                                 8a \|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 2508
+
+--S 2509 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2509
+
+--S 2510 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                        +-+ +-+                   +-----+ +-+
+--R          +-----+      \|b \|x       +-+ +-+     \|- a b \|x
+--R        3\|- a b atanh(--------) - 3\|a \|b atan(------------)
+--R                          +-+                          a
+--R                         \|a
+--R   (6)  ------------------------------------------------------
+--R                            2 +-----+ +-+ +-+
+--R                          4a \|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 2510
+
+--S 2511 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2511
+
+)clear all
+
+--S 2512 of 3330
+t0000:=1/(x^(3/2)*(-a+b*x)^3)
+--R 
+--R
+--R                          1
+--R   (1)  ------------------------------------
+--R          3 4       2 3     2   2    3   +-+
+--R        (b x  - 3a b x  + 3a b x  - a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 2512
+
+--S 2513 of 3330
+r0000:=-15/4*atanh(sqrt(b)*sqrt(x)/sqrt(a))*sqrt(b)/a^(7/2)+_
+     15/4/(a^3*sqrt(x))+(-1/2)/(a*(a-b*x)^2*sqrt(x))+_
+     (-5/4)/(a^2*(a-b*x)*sqrt(x))
+--R 
+--R
+--R   (2)
+--R                                                 +-+ +-+
+--R             2 2                2  +-+ +-+      \|b \|x
+--R       (- 15b x  + 30a b x - 15a )\|b \|x atanh(--------)
+--R                                                   +-+
+--R                                                  \|a
+--R     + 
+--R           2 2               2  +-+
+--R       (15b x  - 25a b x + 8a )\|a
+--R  /
+--R        3 2 2     4        5  +-+ +-+
+--R     (4a b x  - 8a b x + 4a )\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2513
+
+--S 2514 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                                   +-+
+--R                                                   |b  +-+
+--R                                   +-+        - 2a |- \|x  + b x + a
+--R             2 2                2  |b  +-+        \|a                      2 2
+--R         (15b x  - 30a b x + 15a ) |- \|x log(----------------------) + 30b x
+--R                                  \|a                 b x - a
+--R       + 
+--R                        2
+--R         - 50a b x + 16a
+--R    /
+--R          3 2 2      4        5  +-+
+--R       (8a b x  - 16a b x + 8a )\|x
+--R     ,
+--R                                +---+            +-+
+--R          2 2                2  |  b  +-+      b\|x         2 2               2
+--R    (- 15b x  + 30a b x - 15a ) |- - \|x atan(-------) + 15b x  - 25a b x + 8a
+--R                               \|  a            +---+
+--R                                                |  b
+--R                                              a |- -
+--R                                               \|  a
+--R    ---------------------------------------------------------------------------]
+--R                               3 2 2     4        5  +-+
+--R                            (4a b x  - 8a b x + 4a )\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2514
+
+--S 2515 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                           +-+
+--R                           |b  +-+
+--R               +-+    - 2a |- \|x  + b x + a                 +-+ +-+
+--R           +-+ |b         \|a                      +-+      \|b \|x
+--R        15\|a  |- log(----------------------) + 30\|b atanh(--------)
+--R              \|a             b x - a                          +-+
+--R                                                              \|a
+--R   (4)  -------------------------------------------------------------
+--R                                     3 +-+
+--R                                   8a \|a
+--R                                                    Type: Expression(Integer)
+--E 2515
+
+--S 2516 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2516
+
+--S 2517 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                     +-+ +-+        +---+            +-+
+--R           +-+      \|b \|x         |  b  +-+      b\|x
+--R        15\|b atanh(--------) - 15  |- - \|a atan(-------)
+--R                       +-+         \|  a            +---+
+--R                      \|a                           |  b
+--R                                                  a |- -
+--R                                                   \|  a
+--R   (6)  -------------------------------------------------
+--R                               3 +-+
+--R                             4a \|a
+--R                                                    Type: Expression(Integer)
+--E 2517
+
+--S 2518 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2518
+
+)clear all
+
+--S 2519 of 3330
+t0000:=1/(x^(5/2)*(-a+b*x)^3)
+--R 
+--R
+--R                          1
+--R   (1)  -------------------------------------
+--R          3 5       2 4     2   3    3 2  +-+
+--R        (b x  - 3a b x  + 3a b x  - a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 2519
+
+--S 2520 of 3330
+r0000:=35/12/(a^3*x^(3/2))+(-1/2)/(a*x^(3/2)*(a-b*x)^2)+_
+     (-7/4)/(a^2*x^(3/2)*(a-b*x))-_
+     35/4*b^(3/2)*atanh(sqrt(b)*sqrt(x)/sqrt(a))/a^(9/2)+35/4*b/(a^4*sqrt(x))
+--R 
+--R
+--R   (2)
+--R                                                        +-+ +-+
+--R              3 3         2 2       2     +-+ +-+      \|b \|x
+--R       (- 105b x  + 210a b x  - 105a b x)\|b \|x atanh(--------)
+--R                                                          +-+
+--R                                                         \|a
+--R     + 
+--R            3 3         2 2      2        3  +-+
+--R       (105b x  - 175a b x  + 56a b x + 8a )\|a
+--R  /
+--R         4 2 3      5   2      6   +-+ +-+
+--R     (12a b x  - 24a b x  + 12a x)\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 2520
+
+--S 2521 of 3330
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R   [
+--R                                                          +-+
+--R                                                          |b  +-+
+--R                                          +-+        - 2a |- \|x  + b x + a
+--R              3 3         2 2       2     |b  +-+        \|a
+--R         (105b x  - 210a b x  + 105a b x) |- \|x log(----------------------)
+--R                                         \|a                 b x - a
+--R       + 
+--R             3 3         2 2       2         3
+--R         210b x  - 350a b x  + 112a b x + 16a
+--R    /
+--R           4 2 3      5   2      6   +-+
+--R       (24a b x  - 48a b x  + 24a x)\|x
+--R     ,
+--R
+--R                                            +---+            +-+
+--R                3 3         2 2       2     |  b  +-+      b\|x          3 3
+--R         (- 105b x  + 210a b x  - 105a b x) |- - \|x atan(-------) + 105b x
+--R                                           \|  a            +---+
+--R                                                            |  b
+--R                                                          a |- -
+--R                                                           \|  a
+--R       + 
+--R                 2 2      2        3
+--R         - 175a b x  + 56a b x + 8a
+--R    /
+--R           4 2 3      5   2      6   +-+
+--R       (12a b x  - 24a b x  + 12a x)\|x
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 2521
+
+--S 2522 of 3330
+m0000:=a0000.1 - r0000
+--R 
+--R
+--R                            +-+
+--R                            |b  +-+
+--R                +-+    - 2a |- \|x  + b x + a                  +-+ +-+
+--R            +-+ |b         \|a                       +-+      \|b \|x
+--R        35b\|a  |- log(----------------------) + 70b\|b atanh(--------)
+--R               \|a             b x - a                           +-+
+--R                                                                \|a
+--R   (4)  ---------------------------------------------------------------
+--R                                      4 +-+
+--R                                    8a \|a
+--R                                                    Type: Expression(Integer)
+--E 2522
+
+--S 2523 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2523
+
+--S 2524 of 3330
+m0000:=a0000.2 - r0000
+--R 
+--R
+--R                      +-+ +-+        +---+            +-+
+--R            +-+      \|b \|x         |  b  +-+      b\|x
+--R        35b\|b atanh(--------) - 35b |- - \|a atan(-------)
+--R                        +-+         \|  a            +---+
+--R                       \|a                           |  b
+--R                                                   a |- -
+--R                                                    \|  a
+--R   (6)  ---------------------------------------------------
+--R                                4 +-+
+--R                              4a \|a
+--R                                                    Type: Expression(Integer)
+--E 2524
+
+--S 2525 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (7)  0
+--R                                                    Type: Expression(Integer)
+--E 2525
+
+)clear all
+
+--S 2526 of 3330
+t0000:=x^(5/2)*sqrt(a+b*x)
+--R 
+--R
+--R         2 +-+ +-------+
+--R   (1)  x \|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2526
+
+--S 2527 of 3330
+r0000:=-5/64*a^4*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))/b^(7/2)-_
+     5/96*a^2*x^(3/2)*sqrt(a+b*x)/b^2+_
+     1/24*a*x^(5/2)*sqrt(a+b*x)/b+1/4*x^(7/2)*sqrt(a+b*x)+_
+     5/64*a^3*sqrt(x)*sqrt(a+b*x)/b^3
+--R 
+--R
+--R   (2)
+--R                     +-+ +-+
+--R            4       \|b \|x
+--R       - 15a atanh(----------)
+--R                    +-------+
+--R                   \|b x + a
+--R     + 
+--R           3 3       2 2      2         3  +-+ +-+ +-------+
+--R       (48b x  + 8a b x  - 10a b x + 15a )\|b \|x \|b x + a
+--R  /
+--R         3 +-+
+--R     192b \|b
+--R                                                    Type: Expression(Integer)
+--E 2527
+
+--S 2528 of 3330
+--a0000:=integrate(t0000,x)
+--E 2528
+
+--S 2529 of 3330
+--m0000:=a0000 - r0000
+--E 2529
+
+--S 2530 of 3330
+--d0000:=D(m0000,x)
+--E 2530
+
+)clear all
+
+--S 2531 of 3330
+t0000:=x^(3/2)*sqrt(a+b*x)
+--R 
+--R
+--R          +-+ +-------+
+--R   (1)  x\|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2531
+
+--S 2532 of 3330
+r0000:=1/8*a^3*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))/b^(5/2)+_
+     1/12*a*x^(3/2)*sqrt(a+b*x)/b+1/3*x^(5/2)*sqrt(a+b*x)-_
+     1/8*a^2*sqrt(x)*sqrt(a+b*x)/b^2
+--R 
+--R
+--R                   +-+ +-+
+--R          3       \|b \|x         2 2              2  +-+ +-+ +-------+
+--R        3a atanh(----------) + (8b x  + 2a b x - 3a )\|b \|x \|b x + a
+--R                  +-------+
+--R                 \|b x + a
+--R   (2)  ---------------------------------------------------------------
+--R                                       2 +-+
+--R                                    24b \|b
+--R                                                    Type: Expression(Integer)
+--E 2532
+
+--S 2533 of 3330
+--a0000:=integrate(t0000,x)
+--E 2533
+
+--S 2534 of 3330
+--m0000:=a0000 - r0000
+--E 2534
+
+--S 2535 of 3330
+--d0000:=D(m0000,x)
+--E 2535
+
+)clear all
+
+--S 2536 of 3330
+t0000:=sqrt(x)*sqrt(a+b*x)
+--R 
+--R
+--R         +-+ +-------+
+--R   (1)  \|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2536
+
+--S 2537 of 3330
+r0000:=-1/4*a^2*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))/b^(3/2)+_
+     1/2*x^(3/2)*sqrt(a+b*x)+1/4*a*sqrt(x)*sqrt(a+b*x)/b
+--R 
+--R
+--R                    +-+ +-+
+--R           2       \|b \|x                 +-+ +-+ +-------+
+--R        - a atanh(----------) + (2b x + a)\|b \|x \|b x + a
+--R                   +-------+
+--R                  \|b x + a
+--R   (2)  ----------------------------------------------------
+--R                                  +-+
+--R                               4b\|b
+--R                                                    Type: Expression(Integer)
+--E 2537
+
+--S 2538 of 3330
+--a0000:=integrate(t0000,x)
+--E 2538
+
+--S 2539 of 3330
+--m0000:=a0000 - r0000
+--E 2539
+
+--S 2540 of 3330
+--d0000:=D(m0000,x)
+--E 2540
+
+)clear all
+
+--S 2541 of 3330
+t0000:=sqrt(a+b*x)/sqrt(x)
+--R 
+--R
+--R         +-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R            +-+
+--R           \|x
+--R                                                    Type: Expression(Integer)
+--E 2541
+
+--S 2542 of 3330
+r0000:=a*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))/sqrt(b)+sqrt(x)*sqrt(a+b*x)
+--R 
+--R
+--R                  +-+ +-+
+--R                 \|b \|x       +-+ +-+ +-------+
+--R        a atanh(----------) + \|b \|x \|b x + a
+--R                 +-------+
+--R                \|b x + a
+--R   (2)  ----------------------------------------
+--R                           +-+
+--R                          \|b
+--R                                                    Type: Expression(Integer)
+--E 2542
+
+--S 2543 of 3330
+--a0000:=integrate(t0000,x)
+--E 2543
+
+--S 2544 of 3330
+--m0000:=a0000 - r0000
+--E 2544
+
+--S 2545 of 3330
+--d0000:=D(m0000,x)
+--E 2545
+
+)clear all
+
+--S 2546 of 3330
+t0000:=sqrt(a+b*x)/x^(3/2)
+--R 
+--R
+--R         +-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R             +-+
+--R           x\|x
+--R                                                    Type: Expression(Integer)
+--E 2546
+
+--S 2547 of 3330
+r0000:=2*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))*sqrt(b)-2*sqrt(a+b*x)/sqrt(x)
+--R 
+--R
+--R                         +-+ +-+
+--R          +-+ +-+       \|b \|x        +-------+
+--R        2\|b \|x atanh(----------) - 2\|b x + a
+--R                        +-------+
+--R                       \|b x + a
+--R   (2)  ----------------------------------------
+--R                           +-+
+--R                          \|x
+--R                                                    Type: Expression(Integer)
+--E 2547
+
+--S 2548 of 3330
+--a0000:=integrate(t0000,x)
+--E 2548
+
+--S 2549 of 3330
+--m0000:=a0000 - r0000
+--E 2549
+
+--S 2550 of 3330
+--d0000:=D(m0000,x)
+--E 2550
+
+)clear all
+
+--S 2551 of 3330
+t0000:=sqrt(a+b*x)/x^(5/2)
+--R 
+--R
+--R         +-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R           2 +-+
+--R          x \|x
+--R                                                    Type: Expression(Integer)
+--E 2551
+
+--S 2552 of 3330
+r0000:=-2/3*(a+b*x)^(3/2)/(a*x^(3/2))
+--R 
+--R
+--R                      +-------+
+--R        (- 2b x - 2a)\|b x + a
+--R   (2)  -----------------------
+--R                     +-+
+--R                3a x\|x
+--R                                                    Type: Expression(Integer)
+--E 2552
+
+--S 2553 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                      +-+ +-------+       2                  2       2
+--R        (- 4b x - 4a)\|x \|b x + a  + (- b  + (- 2a - 4)b - a  - 4a)x
+--R   (3)  --------------------------------------------------------------
+--R                                         2
+--R                                     6a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2553
+
+--S 2554 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R           2                  2
+--R        - b  + (- 2a - 4)b - a  - 4a
+--R   (4)  ----------------------------
+--R                     6a
+--R                                                    Type: Expression(Integer)
+--E 2554
+
+--S 2555 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2555
+
+)clear all
+
+--S 2556 of 3330
+t0000:=sqrt(a+b*x)/x^(7/2)
+--R 
+--R
+--R         +-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R           3 +-+
+--R          x \|x
+--R                                                    Type: Expression(Integer)
+--E 2556
+
+--S 2557 of 3330
+r0000:=-2/5*(a+b*x)^(3/2)/(a*x^(5/2))+4/15*b*(a+b*x)^(3/2)/(a^2*x^(3/2))
+--R 
+--R
+--R           2 2              2  +-------+
+--R        (4b x  - 2a b x - 6a )\|b x + a
+--R   (2)  --------------------------------
+--R                      2 2 +-+
+--R                   15a x \|x
+--R                                                    Type: Expression(Integer)
+--E 2557
+
+--S 2558 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R          2 2              2  +-+ +-------+
+--R       (4b x  - 2a b x - 6a )\|x \|b x + a
+--R     + 
+--R          3           2        2           3     2  3
+--R       (2b  + (a + 2)b  + (- 4a  - a)b - 3a  - 3a )x
+--R  /
+--R        2 3
+--R     15a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2558
+
+--S 2559 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R          3           2        2           3     2
+--R        2b  + (a + 2)b  + (- 4a  - a)b - 3a  - 3a
+--R   (4)  ------------------------------------------
+--R                              2
+--R                           15a
+--R                                                    Type: Expression(Integer)
+--E 2559
+
+--S 2560 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2560
+
+)clear all
+
+--S 2561 of 3330
+t0000:=sqrt(a+b*x)/x^(9/2)
+--R 
+--R
+--R         +-------+
+--R        \|b x + a
+--R   (1)  ----------
+--R           4 +-+
+--R          x \|x
+--R                                                    Type: Expression(Integer)
+--E 2561
+
+--S 2562 of 3330
+r0000:=-2/7*(a+b*x)^(3/2)/(a*x^(7/2))+8/35*b*(a+b*x)^(3/2)/(a^2*x^(5/2))-_
+     16/105*b^2*(a+b*x)^(3/2)/(a^3*x^(3/2))
+--R 
+--R
+--R              3 3       2 2     2         3  +-------+
+--R        (- 16b x  + 8a b x  - 6a b x - 30a )\|b x + a
+--R   (2)  ----------------------------------------------
+--R                              3 3 +-+
+--R                          105a x \|x
+--R                                                    Type: Expression(Integer)
+--E 2562
+
+--S 2563 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             3 3        2 2      2          3  +-+ +-------+
+--R       (- 80b x  + 40a b x  - 30a b x - 150a )\|x \|b x + a
+--R     + 
+--R               4                3     2         2         3      2        4
+--R           - 8b  + (- 4a - 200)b  + (a  + 100a)b  + (- 18a  - 75a )b - 15a
+--R         + 
+--R                 3
+--R           - 375a
+--R      *
+--R          4
+--R         x
+--R  /
+--R         3 4
+--R     525a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2563
+
+--S 2564 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R       4                3     2         2         3      2        4       3
+--R   - 8b  + (- 4a - 200)b  + (a  + 100a)b  + (- 18a  - 75a )b - 15a  - 375a
+--R   ------------------------------------------------------------------------
+--R                                         3
+--R                                     525a
+--R                                                    Type: Expression(Integer)
+--E 2564
+
+--S 2565 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2565
+
+)clear all
+
+--S 2566 of 3330
+t0000:=x^(5/2)*sqrt(a-b*x)
+--R 
+--R
+--R         2 +---------+ +-+
+--R   (1)  x \|- b x + a \|x
+--R                                                    Type: Expression(Integer)
+--E 2566
+
+--S 2567 of 3330
+r0000:=5/64*a^4*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))/b^(7/2)-_
+     5/96*a^2*x^(3/2)*sqrt(a-b*x)/b^2-1/24*a*x^(5/2)*sqrt(a-b*x)/b+_
+     1/4*x^(7/2)*sqrt(a-b*x)-5/64*a^3*sqrt(x)*sqrt(a-b*x)/b^3
+--R 
+--R
+--R   (2)
+--R                   +-+ +-+
+--R          4       \|b \|x
+--R       15a atan(------------)
+--R                 +---------+
+--R                \|- b x + a
+--R     + 
+--R           3 3       2 2      2         3  +---------+ +-+ +-+
+--R       (48b x  - 8a b x  - 10a b x - 15a )\|- b x + a \|b \|x
+--R  /
+--R         3 +-+
+--R     192b \|b
+--R                                                    Type: Expression(Integer)
+--E 2567
+
+--S 2568 of 3330
+--a0000:=integrate(t0000,x)
+--E 2568
+
+--S 2569 of 3330
+--m0000:=a0000 - r0000
+--E 2569
+
+--S 2570 of 3330
+--d0000:=D(m0000,x)
+--E 2570
+
+)clear all
+
+--S 2571 of 3330
+t0000:=x^(3/2)*sqrt(a-b*x)
+--R 
+--R
+--R          +---------+ +-+
+--R   (1)  x\|- b x + a \|x
+--R                                                    Type: Expression(Integer)
+--E 2571
+
+--S 2572 of 3330
+r0000:=1/8*a^3*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))/b^(5/2)-_
+     1/12*a*x^(3/2)*sqrt(a-b*x)/b+1/3*x^(5/2)*sqrt(a-b*x)-_
+     1/8*a^2*sqrt(x)*sqrt(a-b*x)/b^2
+--R 
+--R
+--R                   +-+ +-+
+--R          3       \|b \|x          2 2              2  +---------+ +-+ +-+
+--R        3a atan(------------) + (8b x  - 2a b x - 3a )\|- b x + a \|b \|x
+--R                 +---------+
+--R                \|- b x + a
+--R   (2)  ------------------------------------------------------------------
+--R                                        2 +-+
+--R                                     24b \|b
+--R                                                    Type: Expression(Integer)
+--E 2572
+
+--S 2573 of 3330
+--a0000:=integrate(t0000,x)
+--E 2573
+
+--S 2574 of 3330
+--m0000:=a0000 - r0000
+--E 2574
+
+--S 2575 of 3330
+--d0000:=D(m0000,x)
+--E 2575
+
+)clear all
+
+--S 2576 of 3330
+t0000:=sqrt(x)*sqrt(a-b*x)
+--R 
+--R
+--R         +---------+ +-+
+--R   (1)  \|- b x + a \|x
+--R                                                    Type: Expression(Integer)
+--E 2576
+
+--S 2577 of 3330
+r0000:=1/4*a^2*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))/b^(3/2)+_
+     1/2*x^(3/2)*sqrt(a-b*x)-1/4*a*sqrt(x)*sqrt(a-b*x)/b
+--R 
+--R
+--R                  +-+ +-+
+--R         2       \|b \|x                  +---------+ +-+ +-+
+--R        a atan(------------) + (2b x - a)\|- b x + a \|b \|x
+--R                +---------+
+--R               \|- b x + a
+--R   (2)  -----------------------------------------------------
+--R                                   +-+
+--R                                4b\|b
+--R                                                    Type: Expression(Integer)
+--E 2577
+
+--S 2578 of 3330
+--a0000:=integrate(t0000,x)
+--E 2578
+
+--S 2579 of 3330
+--m0000:=a0000 - r0000
+--E 2579
+
+--S 2580 of 3330
+--d0000:=D(m0000,x)
+--E 2580
+
+)clear all
+
+--S 2581 of 3330
+t0000:=sqrt(a-b*x)/sqrt(x)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + a
+--R   (1)  ------------
+--R             +-+
+--R            \|x
+--R                                                    Type: Expression(Integer)
+--E 2581
+
+--S 2582 of 3330
+r0000:=a*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))/sqrt(b)+sqrt(x)*sqrt(a-b*x)
+--R 
+--R
+--R                  +-+ +-+
+--R                 \|b \|x        +---------+ +-+ +-+
+--R        a atan(------------) + \|- b x + a \|b \|x
+--R                +---------+
+--R               \|- b x + a
+--R   (2)  -------------------------------------------
+--R                             +-+
+--R                            \|b
+--R                                                    Type: Expression(Integer)
+--E 2582
+
+--S 2583 of 3330
+--a0000:=integrate(t0000,x)
+--E 2583
+
+--S 2584 of 3330
+--m0000:=a0000 - r0000
+--E 2584
+
+--S 2585 of 3330
+--d0000:=D(m0000,x)
+--E 2585
+
+)clear all
+
+--S 2586 of 3330
+t0000:=sqrt(a-b*x)/x^(3/2)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + a
+--R   (1)  ------------
+--R              +-+
+--R            x\|x
+--R                                                    Type: Expression(Integer)
+--E 2586
+
+--S 2587 of 3330
+r0000:=-2*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))*sqrt(b)-2*sqrt(a-b*x)/sqrt(x)
+--R 
+--R
+--R                           +-+ +-+
+--R            +-+ +-+       \|b \|x         +---------+
+--R        - 2\|b \|x atan(------------) - 2\|- b x + a
+--R                         +---------+
+--R                        \|- b x + a
+--R   (2)  ---------------------------------------------
+--R                              +-+
+--R                             \|x
+--R                                                    Type: Expression(Integer)
+--E 2587
+
+--S 2588 of 3330
+--a0000:=integrate(t0000,x)
+--E 2588
+
+--S 2589 of 3330
+--m0000:=a0000 - r0000
+--E 2589
+
+--S 2590 of 3330
+--d0000:=D(m0000,x)
+--E 2590
+
+)clear all
+
+--S 2591 of 3330
+t0000:=sqrt(a-b*x)/x^(5/2)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + a
+--R   (1)  ------------
+--R            2 +-+
+--R           x \|x
+--R                                                    Type: Expression(Integer)
+--E 2591
+
+--S 2592 of 3330
+r0000:=-2/3*(a-b*x)^(3/2)/(a*x^(3/2))
+--R 
+--R
+--R                    +---------+
+--R        (2b x - 2a)\|- b x + a
+--R   (2)  -----------------------
+--R                     +-+
+--R                3a x\|x
+--R                                                    Type: Expression(Integer)
+--E 2592
+
+--S 2593 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                      +---------+ +-+       2                     2      2
+--R        (10b x - 10a)\|- b x + a \|x  + (25b  + (- 50a - 1)b + 25a  + a)x
+--R   (3)  ------------------------------------------------------------------
+--R                                           2
+--R                                      15a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2593
+
+--S 2594 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R           2                     2
+--R        25b  + (- 50a - 1)b + 25a  + a
+--R   (4)  ------------------------------
+--R                      15a
+--R                                                    Type: Expression(Integer)
+--E 2594
+
+--S 2595 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2595
+
+)clear all
+
+--S 2596 of 3330
+t0000:=sqrt(a-b*x)/x^(7/2)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + a
+--R   (1)  ------------
+--R            3 +-+
+--R           x \|x
+--R                                                    Type: Expression(Integer)
+--E 2596
+
+--S 2597 of 3330
+r0000:=-2/5*(a-b*x)^(3/2)/(a*x^(5/2))-4/15*b*(a-b*x)^(3/2)/(a^2*x^(3/2))
+--R 
+--R
+--R           2 2              2  +---------+
+--R        (4b x  + 2a b x - 6a )\|- b x + a
+--R   (2)  ----------------------------------
+--R                       2 2 +-+
+--R                    15a x \|x
+--R                                                    Type: Expression(Integer)
+--E 2597
+
+--S 2598 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R          2 2               2  +---------+ +-+
+--R       (8b x  + 4a b x - 12a )\|- b x + a \|x
+--R     + 
+--R          3              2         2            3     2  3
+--R       (8b  + (- 4a - 2)b  + (- 16a  - a)b + 12a  + 3a )x
+--R  /
+--R        2 3
+--R     30a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2598
+
+--S 2599 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R          3              2         2            3     2
+--R        8b  + (- 4a - 2)b  + (- 16a  - a)b + 12a  + 3a
+--R   (4)  -----------------------------------------------
+--R                                 2
+--R                              30a
+--R                                                    Type: Expression(Integer)
+--E 2599
+
+--S 2600 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2600
+
+)clear all
+
+--S 2601 of 3330
+t0000:=sqrt(a-b*x)/x^(9/2)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + a
+--R   (1)  ------------
+--R            4 +-+
+--R           x \|x
+--R                                                    Type: Expression(Integer)
+--E 2601
+
+--S 2602 of 3330
+r0000:=-2/7*(a-b*x)^(3/2)/(a*x^(7/2))-8/35*b*(a-b*x)^(3/2)/(a^2*x^(5/2))-_
+     16/105*b^2*(a-b*x)^(3/2)/(a^3*x^(3/2))
+--R 
+--R
+--R            3 3       2 2     2         3  +---------+
+--R        (16b x  + 8a b x  + 6a b x - 30a )\|- b x + a
+--R   (2)  ----------------------------------------------
+--R                              3 3 +-+
+--R                          105a x \|x
+--R                                                    Type: Expression(Integer)
+--E 2602
+
+--S 2603 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R           3 3        2 2      2         3  +---------+ +-+
+--R       (48b x  + 24a b x  + 18a b x - 90a )\|- b x + a \|x
+--R     + 
+--R         4               3        2       2          3     2         4      3  4
+--R     (72b  + (- 36a - 8)b  + (- 9a  - 4a)b  + (- 162a  - 3a )b + 135a  + 15a )x
+--R  /
+--R         3 4
+--R     315a x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2603
+
+--S 2604 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R   (4)
+--R      4               3        2       2          3     2         4      3
+--R   72b  + (- 36a - 8)b  + (- 9a  - 4a)b  + (- 162a  - 3a )b + 135a  + 15a
+--R   -----------------------------------------------------------------------
+--R                                        3
+--R                                    315a
+--R                                                    Type: Expression(Integer)
+--E 2604
+
+--S 2605 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2605
+
+)clear all
+
+--S 2606 of 3330
+t0000:=x^(5/2)*sqrt(2+b*x)
+--R 
+--R
+--R         2 +-+ +-------+
+--R   (1)  x \|x \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 2606
+
+--S 2607 of 3330
+r0000:=-5/4*asinh(sqrt(b)*sqrt(x)/sqrt(2))/b^(7/2)-_
+     5/24*x^(3/2)*sqrt(2+b*x)/b^2+1/12*x^(5/2)*sqrt(2+b*x)/b+_
+     1/4*x^(7/2)*sqrt(2+b*x)+5/8*sqrt(x)*sqrt(2+b*x)/b^3
+--R 
+--R
+--R                   +-+ +-+
+--R                  \|b \|x        3 3     2 2              +-+ +-+ +-------+
+--R        - 30asinh(--------) + (6b x  + 2b x  - 5b x + 15)\|b \|x \|b x + 2
+--R                     +-+
+--R                    \|2
+--R   (2)  -------------------------------------------------------------------
+--R                                         3 +-+
+--R                                      24b \|b
+--R                                                    Type: Expression(Integer)
+--E 2607
+
+--S 2608 of 3330
+--a0000:=integrate(t0000,x)
+--E 2608
+
+--S 2609 of 3330
+--m0000:=a0000 - r0000
+--E 2609
+
+--S 2610 of 3330
+--d0000:=D(m0000,x)
+--E 2610
+
+)clear all
+
+--S 2611 of 3330
+t0000:=x^(3/2)*sqrt(2+b*x)
+--R 
+--R
+--R          +-+ +-------+
+--R   (1)  x\|x \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 2611
+
+--S 2612 of 3330
+r0000:=asinh(sqrt(b)*sqrt(x)/sqrt(2))/b^(5/2)+1/6*x^(3/2)*sqrt(2+b*x)/b+_
+     1/3*x^(5/2)*sqrt(2+b*x)-1/2*sqrt(x)*sqrt(2+b*x)/b^2
+--R 
+--R
+--R                +-+ +-+
+--R               \|b \|x        2 2            +-+ +-+ +-------+
+--R        6asinh(--------) + (2b x  + b x - 3)\|b \|x \|b x + 2
+--R                  +-+
+--R                 \|2
+--R   (2)  ------------------------------------------------------
+--R                                  2 +-+
+--R                                6b \|b
+--R                                                    Type: Expression(Integer)
+--E 2612
+
+--S 2613 of 3330
+--a0000:=integrate(t0000,x)
+--E 2613
+
+--S 2614 of 3330
+--m0000:=a0000 - r0000
+--E 2614
+
+--S 2615 of 3330
+--d0000:=D(m0000,x)
+--E 2615
+
+)clear all
+
+--S 2616 of 3330
+t0000:=sqrt(x)*sqrt(2+b*x)
+--R 
+--R
+--R         +-+ +-------+
+--R   (1)  \|x \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 2616
+
+--S 2617 of 3330
+r0000:=-asinh(sqrt(b)*sqrt(x)/sqrt(2))/b^(3/2)+1/2*x^(3/2)*sqrt(2+b*x)+_
+     1/2*sqrt(x)*sqrt(2+b*x)/b
+--R 
+--R
+--R                  +-+ +-+
+--R                 \|b \|x               +-+ +-+ +-------+
+--R        - 2asinh(--------) + (b x + 1)\|b \|x \|b x + 2
+--R                    +-+
+--R                   \|2
+--R   (2)  ------------------------------------------------
+--R                                +-+
+--R                             2b\|b
+--R                                                    Type: Expression(Integer)
+--E 2617
+
+--S 2618 of 3330
+--a0000:=integrate(t0000,x)
+--E 2618
+
+--S 2619 of 3330
+--m0000:=a0000 - r0000
+--E 2619
+
+--S 2620 of 3330
+--d0000:=D(m0000,x)
+--E 2620
+
+)clear all
+
+--S 2621 of 3330
+t0000:=sqrt(2+b*x)/sqrt(x)
+--R 
+--R
+--R         +-------+
+--R        \|b x + 2
+--R   (1)  ----------
+--R            +-+
+--R           \|x
+--R                                                    Type: Expression(Integer)
+--E 2621
+
+--S 2622 of 3330
+r0000:=2*asinh(sqrt(b)*sqrt(x)/sqrt(2))/sqrt(b)+sqrt(x)*sqrt(2+b*x)
+--R 
+--R
+--R                +-+ +-+
+--R               \|b \|x      +-+ +-+ +-------+
+--R        2asinh(--------) + \|b \|x \|b x + 2
+--R                  +-+
+--R                 \|2
+--R   (2)  -------------------------------------
+--R                          +-+
+--R                         \|b
+--R                                                    Type: Expression(Integer)
+--E 2622
+
+--S 2623 of 3330
+--a0000:=integrate(t0000,x)
+--E 2623
+
+--S 2624 of 3330
+--m0000:=a0000 - r0000
+--E 2624
+
+--S 2625 of 3330
+--d0000:=D(m0000,x)
+--E 2625
+
+)clear all
+
+--S 2626 of 3330
+t0000:=sqrt(2+b*x)/x^(3/2)
+--R 
+--R
+--R         +-------+
+--R        \|b x + 2
+--R   (1)  ----------
+--R             +-+
+--R           x\|x
+--R                                                    Type: Expression(Integer)
+--E 2626
+
+--S 2627 of 3330
+r0000:=2*asinh(sqrt(b)*sqrt(x)/sqrt(2))*sqrt(b)-2*sqrt(2+b*x)/sqrt(x)
+--R 
+--R
+--R                        +-+ +-+
+--R          +-+ +-+      \|b \|x       +-------+
+--R        2\|b \|x asinh(--------) - 2\|b x + 2
+--R                          +-+
+--R                         \|2
+--R   (2)  --------------------------------------
+--R                          +-+
+--R                         \|x
+--R                                                    Type: Expression(Integer)
+--E 2627
+
+--S 2628 of 3330
+--a0000:=integrate(t0000,x)
+--E 2628
+
+--S 2629 of 3330
+--m0000:=a0000 - r0000
+--E 2629
+
+--S 2630 of 3330
+--d0000:=D(m0000,x)
+--E 2630
+
+)clear all
+
+--S 2631 of 3330
+t0000:=sqrt(2+b*x)/x^(5/2)
+--R 
+--R
+--R         +-------+
+--R        \|b x + 2
+--R   (1)  ----------
+--R           2 +-+
+--R          x \|x
+--R                                                    Type: Expression(Integer)
+--E 2631
+
+--S 2632 of 3330
+r0000:=-1/3*(2+b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R                    +-------+
+--R        (- b x - 2)\|b x + 2
+--R   (2)  ---------------------
+--R                   +-+
+--R                3x\|x
+--R                                                    Type: Expression(Integer)
+--E 2632
+
+--S 2633 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                      +-+ +-------+       2             2
+--R        (- 8b x - 16)\|x \|b x + 2  + (- b  - 20b - 36)x
+--R   (3)  -------------------------------------------------
+--R                                  2
+--R                               24x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2633
+
+--S 2634 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R           2
+--R        - b  - 20b - 36
+--R   (4)  ---------------
+--R               24
+--R                                                    Type: Expression(Integer)
+--E 2634
+
+--S 2635 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2635
+
+)clear all
+
+--S 2636 of 3330
+t0000:=sqrt(2+b*x)/x^(7/2)
+--R 
+--R
+--R         +-------+
+--R        \|b x + 2
+--R   (1)  ----------
+--R           3 +-+
+--R          x \|x
+--R                                                    Type: Expression(Integer)
+--E 2636
+
+--S 2637 of 3330
+r0000:=-1/5*(2+b*x)^(3/2)/x^(5/2)+1/15*b*(2+b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R          2 2            +-------+
+--R        (b x  - b x - 6)\|b x + 2
+--R   (2)  --------------------------
+--R                    2 +-+
+--R                 15x \|x
+--R                                                    Type: Expression(Integer)
+--E 2637
+
+--S 2638 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2              +-+ +-------+     3     2            3
+--R        (2b x  - 2b x - 12)\|x \|b x + 2  + (b  + 2b  - 9b - 18)x
+--R   (3)  ----------------------------------------------------------
+--R                                      3
+--R                                   30x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2638
+
+--S 2639 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R         3     2
+--R        b  + 2b  - 9b - 18
+--R   (4)  ------------------
+--R                30
+--R                                                    Type: Expression(Integer)
+--E 2639
+
+--S 2640 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2640
+
+)clear all
+
+--S 2641 of 3330
+t0000:=sqrt(2+b*x)/x^(9/2)
+--R 
+--R
+--R         +-------+
+--R        \|b x + 2
+--R   (1)  ----------
+--R           4 +-+
+--R          x \|x
+--R                                                    Type: Expression(Integer)
+--E 2641
+
+--S 2642 of 3330
+r0000:=-1/7*(2+b*x)^(3/2)/x^(7/2)+2/35*b*(2+b*x)^(3/2)/x^(5/2)-_
+     2/105*b^2*(2+b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R             3 3     2 2              +-------+
+--R        (- 2b x  + 2b x  - 3b x - 30)\|b x + 2
+--R   (2)  ---------------------------------------
+--R                           3 +-+
+--R                       105x \|x
+--R                                                    Type: Expression(Integer)
+--E 2642
+
+--S 2643 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R             3 3      2 2                +-+ +-------+
+--R       (- 12b x  + 12b x  - 18b x - 180)\|x \|b x + 2
+--R     + 
+--R            4      3      2              4
+--R       (- 2b  - 20b  + 19b  - 63b - 330)x
+--R  /
+--R         4
+--R     630x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2643
+
+--S 2644 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R            4      3      2
+--R        - 2b  - 20b  + 19b  - 63b - 330
+--R   (4)  -------------------------------
+--R                      630
+--R                                                    Type: Expression(Integer)
+--E 2644
+
+--S 2645 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2645
+
+)clear all
+
+--S 2646 of 3330
+t0000:=x^(5/2)*sqrt(2-b*x)
+--R 
+--R
+--R         2 +---------+ +-+
+--R   (1)  x \|- b x + 2 \|x
+--R                                                    Type: Expression(Integer)
+--E 2646
+
+--S 2647 of 3330
+r0000:=5/4*asin(sqrt(b)*sqrt(x)/sqrt(2))/b^(7/2)-_
+     5/24*x^(3/2)*sqrt(2-b*x)/b^2-1/12*x^(5/2)*sqrt(2-b*x)/b+_
+     1/4*x^(7/2)*sqrt(2-b*x)-5/8*sqrt(x)*sqrt(2-b*x)/b^3
+--R 
+--R
+--R                +-+ +-+
+--R               \|b \|x        3 3     2 2              +---------+ +-+ +-+
+--R        30asin(--------) + (6b x  - 2b x  - 5b x - 15)\|- b x + 2 \|b \|x
+--R                  +-+
+--R                 \|2
+--R   (2)  ------------------------------------------------------------------
+--R                                        3 +-+
+--R                                     24b \|b
+--R                                                    Type: Expression(Integer)
+--E 2647
+
+--S 2648 of 3330
+--a0000:=integrate(t0000,x)
+--E 2648
+
+--S 2649 of 3330
+--m0000:=a0000 - r0000
+--E 2649
+
+--S 2650 of 3330
+--d0000:=D(m0000,x)
+--E 2650
+
+)clear all
+
+--S 2651 of 3330
+t0000:=x^(3/2)*sqrt(2-b*x)
+--R 
+--R
+--R          +---------+ +-+
+--R   (1)  x\|- b x + 2 \|x
+--R                                                    Type: Expression(Integer)
+--E 2651
+
+--S 2652 of 3330
+r0000:=asin(sqrt(b)*sqrt(x)/sqrt(2))/b^(5/2)-_
+     1/6*x^(3/2)*sqrt(2-b*x)/b+1/3*x^(5/2)*sqrt(2-b*x)-_
+     1/2*sqrt(x)*sqrt(2-b*x)/b^2
+--R 
+--R
+--R               +-+ +-+
+--R              \|b \|x        2 2            +---------+ +-+ +-+
+--R        6asin(--------) + (2b x  - b x - 3)\|- b x + 2 \|b \|x
+--R                 +-+
+--R                \|2
+--R   (2)  -------------------------------------------------------
+--R                                  2 +-+
+--R                                6b \|b
+--R                                                    Type: Expression(Integer)
+--E 2652
+
+--S 2653 of 3330
+--a0000:=integrate(t0000,x)
+--E 2653
+
+--S 2654 of 3330
+--m0000:=a0000 - r0000
+--E 2654
+
+--S 2655 of 3330
+--d0000:=D(m0000,x)
+--E 2655
+
+)clear all
+
+--S 2656 of 3330
+t0000:=sqrt(x)*sqrt(2-b*x)
+--R 
+--R
+--R         +---------+ +-+
+--R   (1)  \|- b x + 2 \|x
+--R                                                    Type: Expression(Integer)
+--E 2656
+
+--S 2657 of 3330
+r0000:=asin(sqrt(b)*sqrt(x)/sqrt(2))/b^(3/2)+1/2*x^(3/2)*sqrt(2-b*x)-_
+     1/2*sqrt(x)*sqrt(2-b*x)/b
+--R 
+--R
+--R               +-+ +-+
+--R              \|b \|x               +---------+ +-+ +-+
+--R        2asin(--------) + (b x - 1)\|- b x + 2 \|b \|x
+--R                 +-+
+--R                \|2
+--R   (2)  -----------------------------------------------
+--R                                +-+
+--R                             2b\|b
+--R                                                    Type: Expression(Integer)
+--E 2657
+
+--S 2658 of 3330
+--a0000:=integrate(t0000,x)
+--E 2658
+
+--S 2659 of 3330
+--m0000:=a0000 - r0000
+--E 2659
+
+--S 2660 of 3330
+--d0000:=D(m0000,x)
+--E 2660
+
+)clear all
+
+--S 2661 of 3330
+t0000:=sqrt(2-b*x)/sqrt(x)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + 2
+--R   (1)  ------------
+--R             +-+
+--R            \|x
+--R                                                    Type: Expression(Integer)
+--E 2661
+
+--S 2662 of 3330
+r0000:=2*asin(sqrt(b)*sqrt(x)/sqrt(2))/sqrt(b)+sqrt(x)*sqrt(2-b*x)
+--R 
+--R
+--R               +-+ +-+
+--R              \|b \|x      +---------+ +-+ +-+
+--R        2asin(--------) + \|- b x + 2 \|b \|x
+--R                 +-+
+--R                \|2
+--R   (2)  --------------------------------------
+--R                          +-+
+--R                         \|b
+--R                                                    Type: Expression(Integer)
+--E 2662
+
+--S 2663 of 3330
+--a0000:=integrate(t0000,x)
+--E 2663
+
+--S 2664 of 3330
+--m0000:=a0000 - r0000
+--E 2664
+
+--S 2665 of 3330
+--d0000:=D(m0000,x)
+--E 2665
+
+)clear all
+
+--S 2666 of 3330
+t0000:=sqrt(2-b*x)/x^(3/2)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + 2
+--R   (1)  ------------
+--R              +-+
+--R            x\|x
+--R                                                    Type: Expression(Integer)
+--E 2666
+
+--S 2667 of 3330
+r0000:=-2*asin(sqrt(b)*sqrt(x)/sqrt(2))*sqrt(b)-2*sqrt(2-b*x)/sqrt(x)
+--R 
+--R
+--R                         +-+ +-+
+--R            +-+ +-+     \|b \|x       +---------+
+--R        - 2\|b \|x asin(--------) - 2\|- b x + 2
+--R                           +-+
+--R                          \|2
+--R   (2)  -----------------------------------------
+--R                            +-+
+--R                           \|x
+--R                                                    Type: Expression(Integer)
+--E 2667
+
+--S 2668 of 3330
+--a0000:=integrate(t0000,x)
+--E 2668
+
+--S 2669 of 3330
+--m0000:=a0000 - r0000
+--E 2669
+
+--S 2670 of 3330
+--d0000:=D(m0000,x)
+--E 2670
+
+)clear all
+
+--S 2671 of 3330
+t0000:=sqrt(2-b*x)/x^(5/2)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + 2
+--R   (1)  ------------
+--R            2 +-+
+--R           x \|x
+--R                                                    Type: Expression(Integer)
+--E 2671
+
+--S 2672 of 3330
+r0000:=-1/3*(2-b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R                  +---------+
+--R        (b x - 2)\|- b x + 2
+--R   (2)  ---------------------
+--R                   +-+
+--R                3x\|x
+--R                                                    Type: Expression(Integer)
+--E 2672
+
+--S 2673 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R                    +---------+ +-+         2             2
+--R        (8b x - 16)\|- b x + 2 \|x  + (- 16b  + 65b - 66)x
+--R   (3)  ---------------------------------------------------
+--R                                   2
+--R                                24x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2673
+
+--S 2674 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R             2
+--R        - 16b  + 65b - 66
+--R   (4)  -----------------
+--R                24
+--R                                                    Type: Expression(Integer)
+--E 2674
+
+--S 2675 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2675
+
+)clear all
+
+--S 2676 of 3330
+t0000:=sqrt(2-b*x)/x^(7/2)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + 2
+--R   (1)  ------------
+--R            3 +-+
+--R           x \|x
+--R                                                    Type: Expression(Integer)
+--E 2676
+
+--S 2677 of 3330
+r0000:=-1/5*(2-b*x)^(3/2)/x^(5/2)-1/15*b*(2-b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R          2 2            +---------+
+--R        (b x  + b x - 6)\|- b x + 2
+--R   (2)  ----------------------------
+--R                     2 +-+
+--R                  15x \|x
+--R                                                    Type: Expression(Integer)
+--E 2677
+
+--S 2678 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R           2 2              +---------+ +-+       3     2            3
+--R        (2b x  + 2b x - 12)\|- b x + 2 \|x  + (- b  + 2b  + 9b - 18)x
+--R   (3)  --------------------------------------------------------------
+--R                                        3
+--R                                     30x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2678
+
+--S 2679 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R           3     2
+--R        - b  + 2b  + 9b - 18
+--R   (4)  --------------------
+--R                 30
+--R                                                    Type: Expression(Integer)
+--E 2679
+
+--S 2680 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2680
+
+)clear all
+
+--S 2681 of 3330
+t0000:=sqrt(2-b*x)/x^(9/2)
+--R 
+--R
+--R         +---------+
+--R        \|- b x + 2
+--R   (1)  ------------
+--R            4 +-+
+--R           x \|x
+--R                                                    Type: Expression(Integer)
+--E 2681
+
+--S 2682 of 3330
+r0000:=-1/7*(2-b*x)^(3/2)/x^(7/2)-2/35*b*(2-b*x)^(3/2)/x^(5/2)-_
+     2/105*b^2*(2-b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R           3 3     2 2              +---------+
+--R        (2b x  + 2b x  + 3b x - 30)\|- b x + 2
+--R   (2)  ---------------------------------------
+--R                           3 +-+
+--R                       105x \|x
+--R                                                    Type: Expression(Integer)
+--E 2682
+
+--S 2683 of 3330 ok to fail, differs by a constant
+a0000:=integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R      3 3     2 2              +---------+ +-+      4     3     2             4
+--R   (4b x  + 4b x  + 6b x - 60)\|- b x + 2 \|x  + (2b  - 4b  - 3b  - 39b + 90)x
+--R   ----------------------------------------------------------------------------
+--R                                           4
+--R                                       210x
+--R                                         Type: Union(Expression(Integer),...)
+--E 2683
+
+--S 2684 of 3330 ok to fail, differs by a constant
+m0000:=a0000 - r0000
+--R 
+--R
+--R          4     3     2
+--R        2b  - 4b  - 3b  - 39b + 90
+--R   (4)  --------------------------
+--R                    210
+--R                                                    Type: Expression(Integer)
+--E 2684
+
+--S 2685 of 3330
+d0000:=D(m0000,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 2685
+
+)clear all
+
+--S 2686 of 3330
+t0000:=x^(5/2)*(a+b*x)^(3/2)
+--R 
+--R
+--R            3      2  +-+ +-------+
+--R   (1)  (b x  + a x )\|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2686
+
+--S 2687 of 3330
+r0000:=1/5*x^(7/2)*(a+b*x)^(3/2)-_
+     3/128*a^5*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))/b^(7/2)-_
+     1/64*a^3*x^(3/2)*sqrt(a+b*x)/b^2+1/80*a^2*x^(5/2)*sqrt(a+b*x)/b+_
+     3/40*a*x^(7/2)*sqrt(a+b*x)+3/128*a^4*sqrt(x)*sqrt(a+b*x)/b^3
+--R 
+--R
+--R   (2)
+--R                     +-+ +-+
+--R            5       \|b \|x
+--R       - 15a atanh(----------)
+--R                    +-------+
+--R                   \|b x + a
+--R     + 
+--R            4 4         3 3     2 2 2      3         4  +-+ +-+ +-------+
+--R       (128b x  + 176a b x  + 8a b x  - 10a b x + 15a )\|b \|x \|b x + a
+--R  /
+--R         3 +-+
+--R     640b \|b
+--R                                                    Type: Expression(Integer)
+--E 2687
+
+--S 2688 of 3330
+--a0000:=integrate(t0000,x)
+--E 2688
+
+--S 2689 of 3330
+--m0000:=a0000 - r0000
+--E 2689
+
+--S 2690 of 3330
+--d0000:=D(m0000,x)
+--E 2690
+
+)clear all
+
+--S 2691 of 3330
+t0000:=x^(3/2)*(a+b*x)^(3/2)
+--R 
+--R
+--R            2        +-+ +-------+
+--R   (1)  (b x  + a x)\|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2691
+
+--S 2692 of 3330
+r0000:=1/4*x^(5/2)*(a+b*x)^(3/2)+_
+     3/64*a^4*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))/b^(5/2)+_
+     1/32*a^2*x^(3/2)*sqrt(a+b*x)/b+1/8*a*x^(5/2)*sqrt(a+b*x)-_
+     3/64*a^3*sqrt(x)*sqrt(a+b*x)/b^2
+--R 
+--R
+--R   (2)
+--R              +-+ +-+
+--R     4       \|b \|x          3 3        2 2     2        3  +-+ +-+ +-------+
+--R   3a atanh(----------) + (16b x  + 24a b x  + 2a b x - 3a )\|b \|x \|b x + a
+--R             +-------+
+--R            \|b x + a
+--R   ---------------------------------------------------------------------------
+--R                                        2 +-+
+--R                                     64b \|b
+--R                                                    Type: Expression(Integer)
+--E 2692
+
+--S 2693 of 3330
+--a0000:=integrate(t0000,x)
+--E 2693
+
+--S 2694 of 3330
+--m0000:=a0000 - r0000
+--E 2694
+
+--S 2695 of 3330
+--d0000:=D(m0000,x)
+--E 2695
+
+)clear all
+
+--S 2696 of 3330
+t0000:=(a+b*x)^(3/2)*sqrt(x)
+--R 
+--R
+--R                  +-+ +-------+
+--R   (1)  (b x + a)\|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 2696
+
+--S 2697 of 3330
+r0000:=1/3*x^(3/2)*(a+b*x)^(3/2)-_
+     1/8*a^3*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))/b^(3/2)+_
+     1/4*a*x^(3/2)*sqrt(a+b*x)+1/8*a^2*sqrt(x)*sqrt(a+b*x)/b
+--R 
+--R
+--R                     +-+ +-+
+--R            3       \|b \|x         2 2               2  +-+ +-+ +-------+
+--R        - 3a atanh(----------) + (8b x  + 14a b x + 3a )\|b \|x \|b x + a
+--R                    +-------+
+--R                   \|b x + a
+--R   (2)  ------------------------------------------------------------------
+--R                                          +-+
+--R                                      24b\|b
+--R                                                    Type: Expression(Integer)
+--E 2697
+
+--S 2698 of 3330
+--a0000:=integrate(t0000,x)
+--E 2698
+
+--S 2699 of 3330
+--m0000:=a0000 - r0000
+--E 2699
+
+--S 2700 of 3330
+--d0000:=D(m0000,x)
+--E 2700
+
+)clear all
+
+--S 2701 of 3330
+t0000:=(a+b*x)^(3/2)/sqrt(x)
+--R 
+--R
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                 +-+
+--R                \|x
+--R                                                    Type: Expression(Integer)
+--E 2701
+
+--S 2702 of 3330
+r0000:=3/4*a^2*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))/sqrt(b)+_
+     1/2*(a+b*x)^(3/2)*sqrt(x)+3/4*a*sqrt(x)*sqrt(a+b*x)
+--R 
+--R
+--R                   +-+ +-+
+--R          2       \|b \|x                  +-+ +-+ +-------+
+--R        3a atanh(----------) + (2b x + 5a)\|b \|x \|b x + a
+--R                  +-------+
+--R                 \|b x + a
+--R   (2)  ----------------------------------------------------
+--R                                  +-+
+--R                                4\|b
+--R                                                    Type: Expression(Integer)
+--E 2702
+
+--S 2703 of 3330
+--a0000:=integrate(t0000,x)
+--E 2703
+
+--S 2704 of 3330
+--m0000:=a0000 - r0000
+--E 2704
+
+--S 2705 of 3330
+--d0000:=D(m0000,x)
+--E 2705
+
+)clear all
+
+--S 2706 of 3330
+t0000:=(a+b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                 +-+
+--R               x\|x
+--R                                                    Type: Expression(Integer)
+--E 2706
+
+--S 2707 of 3330
+r0000:=3*a*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))*sqrt(b)-_
+     2*(a+b*x)^(3/2)/sqrt(x)+3*b*sqrt(x)*sqrt(a+b*x)
+--R 
+--R
+--R                          +-+ +-+
+--R           +-+ +-+       \|b \|x                 +-------+
+--R        3a\|b \|x atanh(----------) + (b x - 2a)\|b x + a
+--R                         +-------+
+--R                        \|b x + a
+--R   (2)  --------------------------------------------------
+--R                                +-+
+--R                               \|x
+--R                                                    Type: Expression(Integer)
+--E 2707
+
+--S 2708 of 3330
+--a0000:=integrate(t0000,x)
+--E 2708
+
+--S 2709 of 3330
+--m0000:=a0000 - r0000
+--E 2709
+
+--S 2710 of 3330
+--d0000:=D(m0000,x)
+--E 2710
+
+)clear all
+
+--S 2711 of 3330
+t0000:=(a+b*x)^(3/2)/x^(5/2)
+--R 
+--R
+--R                  +-------+
+--R        (b x + a)\|b x + a
+--R   (1)  -------------------
+--R                2 +-+
+--R               x \|x
+--R                                                    Type: Expression(Integer)
+--E 2711
+
+--S 2712 of 3330
+r0000:=-2/3*(a+b*x)^(3/2)/x^(3/2)+_
+     2*b^(3/2)*atanh(sqrt(b)*sqrt(x)/sqrt(a+b*x))-2*b*sqrt(a+b*x)/sqrt(x)
+--R 
+--R
+--R                            +-+ +-+
+--R             +-+ +-+       \|b \|x                    +-------+
+--R        6b x\|b \|x atanh(----------) + (- 8b x - 2a)\|b x + a
+--R                           +-------+
+--R                          \|b x + a
+--R   (2)  -------------------------------------------------------
+--R                                    +-+
+--R                                 3x\|x
+--R                                                    Type: Expression(Integer)
+--E 2712
+
+--S 2713 of 3330
+--a0000:=integrate(t0000,x)
+--E 2713
+
+--S 2714 of 3330
+--m0000:=a0000 - r0000
+--E 2714
+
+--S 2715 of 3330
+--d0000:=D(m0000,x)
+--E 2715
+
+)clear all
+
+--S 2716 of 3330
+t0000:=x^(5/2)*(a-b*x)^(3/2)
+--R 
+--R
+--R              3      2  +---------+ +-+
+--R   (1)  (- b x  + a x )\|- b x + a \|x
+--R                                                    Type: Expression(Integer)
+--E 2716
+
+--S 2717 of 3330
+r0000:=1/5*x^(7/2)*(a-b*x)^(3/2)+_
+     3/128*a^5*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))/b^(7/2)-_
+     1/64*a^3*x^(3/2)*sqrt(a-b*x)/b^2-1/80*a^2*x^(5/2)*sqrt(a-b*x)/b+_
+     3/40*a*x^(7/2)*sqrt(a-b*x)-3/128*a^4*sqrt(x)*sqrt(a-b*x)/b^3
+--R 
+--R
+--R   (2)
+--R                   +-+ +-+
+--R          5       \|b \|x
+--R       15a atan(------------)
+--R                 +---------+
+--R                \|- b x + a
+--R     + 
+--R              4 4         3 3     2 2 2      3         4  +---------+ +-+ +-+
+--R       (- 128b x  + 176a b x  - 8a b x  - 10a b x - 15a )\|- b x + a \|b \|x
+--R  /
+--R         3 +-+
+--R     640b \|b
+--R                                                    Type: Expression(Integer)
+--E 2717
+
+--S 2718 of 3330
+--a0000:=integrate(t0000,x)
+--E 2718
+
+--S 2719 of 3330
+--m0000:=a0000 - r0000
+--E 2719
+
+--S 2720 of 3330
+--d0000:=D(m0000,x)
+--E 2720
+
+)clear all
+
+--S 2721 of 3330
+t0000:=x^(3/2)*(a-b*x)^(3/2)
+--R 
+--R
+--R              2        +---------+ +-+
+--R   (1)  (- b x  + a x)\|- b x + a \|x
+--R                                                    Type: Expression(Integer)
+--E 2721
+
+--S 2722 of 3330
+r0000:=1/4*x^(5/2)*(a-b*x)^(3/2)+_
+     3/64*a^4*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))/b^(5/2)-_
+     1/32*a^2*x^(3/2)*sqrt(a-b*x)/b+1/8*a*x^(5/2)*sqrt(a-b*x)-_
+     3/64*a^3*sqrt(x)*sqrt(a-b*x)/b^2
+--R 
+--R
+--R   (2)
+--R                  +-+ +-+
+--R         4       \|b \|x
+--R       3a atan(------------)
+--R                +---------+
+--R               \|- b x + a
+--R     + 
+--R             3 3        2 2     2        3  +---------+ +-+ +-+
+--R       (- 16b x  + 24a b x  - 2a b x - 3a )\|- b x + a \|b \|x
+--R  /
+--R        2 +-+
+--R     64b \|b
+--R                                                    Type: Expression(Integer)
+--E 2722
+
+--S 2723 of 3330
+--a0000:=integrate(t0000,x)
+--E 2723
+
+--S 2724 of 3330
+--m0000:=a0000 - r0000
+--E 2724
+
+--S 2725 of 3330
+--d0000:=D(m0000,x)
+--E 2725
+
+)clear all
+
+--S 2726 of 3330
+t0000:=(a-b*x)^(3/2)*sqrt(x)
+--R 
+--R
+--R                    +---------+ +-+
+--R   (1)  (- b x + a)\|- b x + a \|x
+--R                                                    Type: Expression(Integer)
+--E 2726
+
+--S 2727 of 3330
+r0000:=1/3*x^(3/2)*(a-b*x)^(3/2)+_
+     1/8*a^3*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))/b^(3/2)+_
+     1/4*a*x^(3/2)*sqrt(a-b*x)-1/8*a^2*sqrt(x)*sqrt(a-b*x)/b
+--R 
+--R
+--R                   +-+ +-+
+--R          3       \|b \|x            2 2               2  +---------+ +-+ +-+
+--R        3a atan(------------) + (- 8b x  + 14a b x - 3a )\|- b x + a \|b \|x
+--R                 +---------+
+--R                \|- b x + a
+--R   (2)  ---------------------------------------------------------------------
+--R                                           +-+
+--R                                       24b\|b
+--R                                                    Type: Expression(Integer)
+--E 2727
+
+--S 2728 of 3330
+--a0000:=integrate(t0000,x)
+--E 2728
+
+--S 2729 of 3330
+--m0000:=a0000 - r0000
+--E 2729
+
+--S 2730 of 3330
+--d0000:=D(m0000,x)
+--E 2730
+
+)clear all
+
+--S 2731 of 3330
+t0000:=(a-b*x)^(3/2)/sqrt(x)
+--R 
+--R
+--R                    +---------+
+--R        (- b x + a)\|- b x + a
+--R   (1)  -----------------------
+--R                   +-+
+--R                  \|x
+--R                                                    Type: Expression(Integer)
+--E 2731
+
+--S 2732 of 3330
+r0000:=3/4*a^2*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))/sqrt(b)+_
+     1/2*(a-b*x)^(3/2)*sqrt(x)+3/4*a*sqrt(x)*sqrt(a-b*x)
+--R 
+--R
+--R                   +-+ +-+
+--R          2       \|b \|x                     +---------+ +-+ +-+
+--R        3a atan(------------) + (- 2b x + 5a)\|- b x + a \|b \|x
+--R                 +---------+
+--R                \|- b x + a
+--R   (2)  ---------------------------------------------------------
+--R                                    +-+
+--R                                  4\|b
+--R                                                    Type: Expression(Integer)
+--E 2732
+
+--S 2733 of 3330
+--a0000:=integrate(t0000,x)
+--E 2733
+
+--S 2734 of 3330
+--m0000:=a0000 - r0000
+--E 2734
+
+--S 2735 of 3330
+--d0000:=D(m0000,x)
+--E 2735
+
+)clear all
+
+--S 2736 of 3330
+t0000:=(a-b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R                    +---------+
+--R        (- b x + a)\|- b x + a
+--R   (1)  -----------------------
+--R                   +-+
+--R                 x\|x
+--R                                                    Type: Expression(Integer)
+--E 2736
+
+--S 2737 of 3330
+r0000:=-3*a*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))*sqrt(b)-2*(a-b*x)^(3/2)/sqrt(x)-_
+     3*b*sqrt(x)*sqrt(a-b*x)
+--R 
+--R
+--R                            +-+ +-+
+--R             +-+ +-+       \|b \|x                    +---------+
+--R        - 3a\|b \|x atan(------------) + (- b x - 2a)\|- b x + a
+--R                          +---------+
+--R                         \|- b x + a
+--R   (2)  ---------------------------------------------------------
+--R                                    +-+
+--R                                   \|x
+--R                                                    Type: Expression(Integer)
+--E 2737
+
+--S 2738 of 3330
+--a0000:=integrate(t0000,x)
+--E 2738
+
+--S 2739 of 3330
+--m0000:=a0000 - r0000
+--E 2739
+
+--S 2740 of 3330
+--d0000:=D(m0000,x)
+--E 2740
+
+)clear all
+
+--S 2741 of 3330
+t0000:=(a-b*x)^(3/2)/x^(5/2)
+--R 
+--R
+--R                    +---------+
+--R        (- b x + a)\|- b x + a
+--R   (1)  -----------------------
+--R                  2 +-+
+--R                 x \|x
+--R                                                    Type: Expression(Integer)
+--E 2741
+
+--S 2742 of 3330
+r0000:=-2/3*(a-b*x)^(3/2)/x^(3/2)+_
+     2*b^(3/2)*atan(sqrt(b)*sqrt(x)/sqrt(a-b*x))+2*b*sqrt(a-b*x)/sqrt(x)
+--R 
+--R
+--R                            +-+ +-+
+--R             +-+ +-+       \|b \|x                   +---------+
+--R        6b x\|b \|x atan(------------) + (8b x - 2a)\|- b x + a
+--R                          +---------+
+--R                         \|- b x + a
+--R   (2)  --------------------------------------------------------
+--R                                    +-+
+--R                                 3x\|x
+--R                                                    Type: Expression(Integer)
+--E 2742
+
+--S 2743 of 3330
+--a0000:=integrate(t0000,x)
+--E 2743
+
+--S 2744 of 3330
+--m0000:=a0000 - r0000
+--E 2744
+
+--S 2745 of 3330
+--d0000:=D(m0000,x)
+--E 2745
+
+)clear all
+
+--S 2746 of 3330
+t0000:=x^(5/2)*(2+b*x)^(3/2)
+--R 
+--R
+--R            3     2  +-+ +-------+
+--R   (1)  (b x  + 2x )\|x \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 2746
+
+--S 2747 of 3330
+r0000:=1/5*x^(7/2)*(2+b*x)^(3/2)-_
+     3/4*asinh(sqrt(b)*sqrt(x)/sqrt(2))/b^(7/2)-_
+     1/8*x^(3/2)*sqrt(2+b*x)/b^2+1/20*x^(5/2)*sqrt(2+b*x)/b+_
+     3/20*x^(7/2)*sqrt(2+b*x)+3/8*sqrt(x)*sqrt(2+b*x)/b^3
+--R 
+--R
+--R   (2)
+--R              +-+ +-+
+--R             \|b \|x        4 4      3 3     2 2              +-+ +-+ +-------+
+--R   - 30asinh(--------) + (8b x  + 22b x  + 2b x  - 5b x + 15)\|b \|x \|b x + 2
+--R                +-+
+--R               \|2
+--R   ----------------------------------------------------------------------------
+--R                                        3 +-+
+--R                                     40b \|b
+--R                                                    Type: Expression(Integer)
+--E 2747
+
+--S 2748 of 3330
+--a0000:=integrate(t0000,x)
+--E 2748
+
+--S 2749 of 3330
+--m0000:=a0000 - r0000
+--E 2749
+
+--S 2750 of 3330
+--d0000:=D(m0000,x)
+--E 2750
+
+)clear all
+
+--S 2751 of 3330
+t0000:=x^(3/2)*(2+b*x)^(3/2)
+--R 
+--R
+--R            2       +-+ +-------+
+--R   (1)  (b x  + 2x)\|x \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 2751
+
+--S 2752 of 3330
+r0000:=1/4*x^(5/2)*(2+b*x)^(3/2)+_
+     3/4*asinh(sqrt(b)*sqrt(x)/sqrt(2))/b^(5/2)+_
+     1/8*x^(3/2)*sqrt(2+b*x)/b+1/4*x^(5/2)*sqrt(2+b*x)-_
+     3/8*sqrt(x)*sqrt(2+b*x)/b^2
+--R 
+--R
+--R                +-+ +-+
+--R               \|b \|x        3 3     2 2            +-+ +-+ +-------+
+--R        6asinh(--------) + (2b x  + 6b x  + b x - 3)\|b \|x \|b x + 2
+--R                  +-+
+--R                 \|2
+--R   (2)  --------------------------------------------------------------
+--R                                      2 +-+
+--R                                    8b \|b
+--R                                                    Type: Expression(Integer)
+--E 2752
+
+--S 2753 of 3330
+--a0000:=integrate(t0000,x)
+--E 2753
+
+--S 2754 of 3330
+--m0000:=a0000 - r0000
+--E 2754
+
+--S 2755 of 3330
+--d0000:=D(m0000,x)
+--E 2755
+
+)clear all
+
+--S 2756 of 3330
+t0000:=(2+b*x)^(3/2)*sqrt(x)
+--R 
+--R
+--R                  +-+ +-------+
+--R   (1)  (b x + 2)\|x \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 2756
+
+--S 2757 of 3330
+r0000:=1/3*x^(3/2)*(2+b*x)^(3/2)-asinh(sqrt(b)*sqrt(x)/sqrt(2))/b^(3/2)+_
+     1/2*x^(3/2)*sqrt(2+b*x)+1/2*sqrt(x)*sqrt(2+b*x)/b
+--R 
+--R
+--R                  +-+ +-+
+--R                 \|b \|x        2 2             +-+ +-+ +-------+
+--R        - 6asinh(--------) + (2b x  + 7b x + 3)\|b \|x \|b x + 2
+--R                    +-+
+--R                   \|2
+--R   (2)  ---------------------------------------------------------
+--R                                     +-+
+--R                                  6b\|b
+--R                                                    Type: Expression(Integer)
+--E 2757
+
+--S 2758 of 3330
+--a0000:=integrate(t