diff --git a/changelog b/changelog
index e684837..f766cd4 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,99 @@
+20130804 tpd src/axiom-website/patches.html 20130804.01.tpd.patch
+20130804 tpd src/axiom-website/CATS/index.html
+20130804 tpd src/axiom-website/CATS/rich1a.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich1a.input.pdf
+20130804 tpd src/axiom-website/CATS/rich1b.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich1b.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3a.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3a.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3c.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3c.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3d.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3d.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3e.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3e.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3f.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3f.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3g.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3g.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3h.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3h.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3i.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3i.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3j.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3j.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3k.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3k.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3l.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3l.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3m.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3m.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3n.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3n.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3o.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3o.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3p.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3p.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3q.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3q.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3r.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3r.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3s.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3s.input.pdf
+20130804 tpd src/axiom-website/CATS/rich3t.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich3t.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4a.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4a.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4b.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4b.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4c.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4c.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4d.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4d.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4e.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4e.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4f.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4f.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4g.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4g.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4h.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4h.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4i.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4i.input.pdf
+20130804 tpd src/axiom-website/CATS/rich4j.input.pamphlet
+20130804 tpd src/axiom-website/CATS/rich4j.input.pdf
+20130804 tpd src/input/Makefile.pamphlet
+20130804 tpd src/input/rich1a.input.pamphlet
+20130804 tpd src/input/rich1b.input.pamphlet
+20130804 tpd src/input/rich3a.input.pamphlet
+20130804 tpd src/input/rich3c.input.pamphlet
+20130804 tpd src/input/rich3d.input.pamphlet
+20130804 tpd src/input/rich3e.input.pamphlet
+20130804 tpd src/input/rich3f.input.pamphlet
+20130804 tpd src/input/rich3g.input.pamphlet
+20130804 tpd src/input/rich3h.input.pamphlet
+20130804 tpd src/input/rich3i.input.pamphlet
+20130804 tpd src/input/rich3j.input.pamphlet
+20130804 tpd src/input/rich3k.input.pamphlet
+20130804 tpd src/input/rich3l.input.pamphlet
+20130804 tpd src/input/rich3m.input.pamphlet
+20130804 tpd src/input/rich3n.input.pamphlet
+20130804 tpd src/input/rich3o.input.pamphlet
+20130804 tpd src/input/rich3p.input.pamphlet
+20130804 tpd src/input/rich3q.input.pamphlet
+20130804 tpd src/input/rich3r.input.pamphlet
+20130804 tpd src/input/rich3s.input.pamphlet
+20130804 tpd src/input/rich3t.input.pamphlet
+20130804 tpd src/input/rich4a.input.pamphlet
+20130804 tpd src/input/rich4b.input.pamphlet
+20130804 tpd src/input/rich4c.input.pamphlet
+20130804 tpd src/input/rich4d.input.pamphlet
+20130804 tpd src/input/rich4e.input.pamphlet
+20130804 tpd src/input/rich4f.input.pamphlet
+20130804 tpd src/input/rich4g.input.pamphlet
+20130804 tpd src/input/rich4h.input.pamphlet
+20130804 tpd src/input/rich4i.input.pamphlet
+20130804 tpd src/input/rich4j.input.pamphlet
20130727 tpd src/axiom-website/patches.html 20130727.01.tpd.patch
20130727 tpd src/axiom-website/CATS/index.html add rich3c
20130727 tpd src/axiom-website/CATS/rich3c.input added
diff --git a/src/axiom-website/CATS/index.html b/src/axiom-website/CATS/index.html
index 7303013..cc3cf50 100644
--- a/src/axiom-website/CATS/index.html
+++ b/src/axiom-website/CATS/index.html
@@ -293,10 +293,12 @@ They have been rewritten using Axiom syntax.
(a+b x)^m (c+d x)^n (part 2)
source
pdf
+
(a+b x)^m (A+B x) (d+e x)^p
source
pdf
(a+b x)^m (c+d)^n (e+f x)^p (part 1)
+
source
pdf
(a+b x)^m (c+d)^n (e+f x)^p (part 2)
@@ -305,6 +307,88 @@ They have been rewritten using Axiom syntax.
(a+b x)^m (c+d)^n (e+f x)^p (part 3)
source
pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 4)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 5)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 6)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 7)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 8)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 9)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 10)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 11)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 12)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 13)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 14)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 15)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 16)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 17)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 18)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 19)
+ source
+ pdf
+ (a+b x)^m (c+d)^n (e+f x)^p (part 20)
+ source
+ pdf
+
+ x^m (a+b x^n)^p (part 1)
+ source
+ pdf
+ x^m (a+b x^n)^p (part 2)
+ source
+ pdf
+ x^m (a+b x^n)^p (part 3)
+ source
+ pdf
+ x^m (a+b x^n)^p (part 4)
+ source
+ pdf
+ x^m (a+b x^n)^p (part 5)
+ source
+ pdf
+ x^m (a+b x^n)^p (part 6)
+ source
+ pdf
+ x^m (a+b x^n)^p (part 7)
+ source
+ pdf
+ x^m (a+b x^n)^p (part 8)
+ source
+ pdf
+ x^m (a+b x^n)^p (part 9)
+ source
+ pdf
+ x^m (a+b x^n)^p (part 10)
+ source
+ pdf
Rich
diff --git a/src/axiom-website/CATS/rich1a.input.pamphlet b/src/axiom-website/CATS/rich1a.input.pamphlet
index 06f6586..b6a7a8b 100644
--- a/src/axiom-website/CATS/rich1a.input.pamphlet
+++ b/src/axiom-website/CATS/rich1a.input.pamphlet
@@ -33369,7 +33369,7 @@ r0000:=-2/3*(a+b*x)^(3/2)/(a*x^(3/2))
--R Type: Expression(Integer)
--E 2555
---S 2556 of 3333
+--S 2556 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -33381,7 +33381,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2556
---S 2557 of 3333
+--S 2557 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -33426,7 +33426,7 @@ 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 Type: Expression(Integer)
--E 2560
---S 2561 of 3333
+--S 2561 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -33442,7 +33442,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2561
---S 2562 of 3333
+--S 2562 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -33489,7 +33489,7 @@ 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))-_
--R Type: Expression(Integer)
--E 2565
---S 2566 of 3333
+--S 2566 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -33505,7 +33505,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2566
---S 2567 of 3333
+--S 2567 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -33756,7 +33756,7 @@ r0000:=-2/3*(a-b*x)^(3/2)/(a*x^(3/2))
--R Type: Expression(Integer)
--E 2595
---S 2596 of 3333
+--S 2596 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -33768,7 +33768,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2596
---S 2597 of 3333
+--S 2597 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -33813,7 +33813,7 @@ 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 Type: Expression(Integer)
--E 2600
---S 2601 of 3333
+--S 2601 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -33829,7 +33829,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2601
---S 2602 of 3333
+--S 2602 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -33876,7 +33876,7 @@ 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))-_
--R Type: Expression(Integer)
--E 2605
---S 2606 of 3333
+--S 2606 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -33892,7 +33892,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2606
---S 2607 of 3333
+--S 2607 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -34138,7 +34138,7 @@ r0000:=-1/3*(2+b*x)^(3/2)/x^(3/2)
--R Type: Expression(Integer)
--E 2635
---S 2636 of 3333
+--S 2636 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -34150,7 +34150,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2636
---S 2637 of 3333
+--S 2637 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -34195,7 +34195,7 @@ r0000:=-1/5*(2+b*x)^(3/2)/x^(5/2)+1/15*b*(2+b*x)^(3/2)/x^(3/2)
--R Type: Expression(Integer)
--E 2640
---S 2641 of 3333
+--S 2641 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -34207,7 +34207,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2641
---S 2642 of 3333
+--S 2642 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -34253,7 +34253,7 @@ r0000:=-1/7*(2+b*x)^(3/2)/x^(7/2)+2/35*b*(2+b*x)^(3/2)/x^(5/2)-_
--R Type: Expression(Integer)
--E 2645
---S 2646 of 3333
+--S 2646 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -34269,7 +34269,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2646
---S 2647 of 3333
+--S 2647 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -34515,7 +34515,7 @@ r0000:=-1/3*(2-b*x)^(3/2)/x^(3/2)
--R Type: Expression(Integer)
--E 2675
---S 2676 of 3333
+--S 2676 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -34527,7 +34527,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2676
---S 2677 of 3333
+--S 2677 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -34572,7 +34572,7 @@ r0000:=-1/5*(2-b*x)^(3/2)/x^(5/2)-1/15*b*(2-b*x)^(3/2)/x^(3/2)
--R Type: Expression(Integer)
--E 2680
---S 2681 of 3333
+--S 2681 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -34584,7 +34584,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2681
---S 2682 of 3333
+--S 2682 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -36903,7 +36903,7 @@ r0000:=-2*sqrt(a+b*x)/(a*sqrt(x))
--R Type: Expression(Integer)
--E 2950
---S 2951 of 3333
+--S 2951 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -36914,7 +36914,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2951
---S 2952 of 3333
+--S 2952 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -36957,7 +36957,7 @@ r0000:=-2/3*sqrt(a+b*x)/(a*x^(3/2))+4/3*b*sqrt(a+b*x)/(a^2*sqrt(x))
--R Type: Expression(Integer)
--E 2955
---S 2956 of 3333
+--S 2956 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -36969,7 +36969,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2956
---S 2957 of 3333
+--S 2957 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -36984,7 +36984,7 @@ m0000:=a0000 - r0000
--S 2958 of 3333
d0000:=D(m0000,x)
--R
---R
+--R
--R (5) 0
--R Type: Expression(Integer)
--E 2958
@@ -37077,7 +37077,7 @@ r0000:=-2/7*sqrt(a+b*x)/(a*x^(7/2))+12/35*b*sqrt(a+b*x)/(a^2*x^(5/2))-_
--R Type: Expression(Integer)
--E 2965
---S 2966 of 3333
+--S 2966 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -37093,7 +37093,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2966
---S 2967 of 3333
+--S 2967 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -37264,7 +37264,7 @@ r0000:=2*sqrt(x)/(a*sqrt(a+b*x))
--R Type: Expression(Integer)
--E 2985
---S 2986 of 3333
+--S 2986 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -37276,7 +37276,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2986
---S 2987 of 3333
+--S 2987 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -37381,7 +37381,7 @@ r0000:=2/(a*x^(3/2)*sqrt(a+b*x))-8/3*sqrt(a+b*x)/(a^2*x^(3/2))+_
--R Type: Expression(Integer)
--E 2995
---S 2996 of 3333
+--S 2996 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -37400,7 +37400,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 2996
---S 2997 of 3333
+--S 2997 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -37446,7 +37446,7 @@ r0000:=2/(a*x^(5/2)*sqrt(a+b*x))-12/5*sqrt(a+b*x)/(a^2*x^(5/2))+_
--R Type: Expression(Integer)
--E 3000
---S 3001 of 3333
+--S 3001 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -37477,7 +37477,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 3001
---S 3002 of 3333
+--S 3002 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -37613,7 +37613,7 @@ r0000:=2/3*x^(3/2)/(a*(a+b*x)^(3/2))
--R Type: Expression(Integer)
--E 3015
---S 3016 of 3333
+--S 3016 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -37632,7 +37632,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 3016
---S 3017 of 3333
+--S 3017 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -37676,7 +37676,7 @@ r0000:=2/3*sqrt(x)/(a*(a+b*x)^(3/2))+4/3*sqrt(x)/(a^2*sqrt(a+b*x))
--R Type: Expression(Integer)
--E 3020
---S 3021 of 3333
+--S 3021 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -37695,7 +37695,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 3021
---S 3022 of 3333
+--S 3022 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -37741,7 +37741,7 @@ r0000:=2/3/(a*(a+b*x)^(3/2)*sqrt(x))+8/3/(a^2*sqrt(x)*sqrt(a+b*x))-_
--R Type: Expression(Integer)
--E 3025
---S 3026 of 3333
+--S 3026 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -37772,7 +37772,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 3026
---S 3027 of 3333
+--S 3027 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -37818,7 +37818,7 @@ r0000:=2/3/(a*x^(3/2)*(a+b*x)^(3/2))+4/(a^2*x^(3/2)*sqrt(a+b*x))-_
--R Type: Expression(Integer)
--E 3030
---S 3031 of 3333 ok to fail, random algorithm
+--S 3031 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -37867,7 +37867,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 3031
---S 3032 of 3333 ok to fail, random algorithm
+--S 3032 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -40512,7 +40512,7 @@ r0000:=1/(x^(3/2)*sqrt(2-b*x))-2/3*sqrt(2-b*x)/x^(3/2)-_
--R Type: Expression(Integer)
--E 3285
---S 3286 of 3333
+--S 3286 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -40528,7 +40528,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 3286
---S 3287 of 3333
+--S 3287 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
@@ -40658,7 +40658,7 @@ r0000:=1/3*x^(3/2)/(2-b*x)^(3/2)
--R Type: Expression(Integer)
--E 3300
---S 3301 of 3333 ok to fail, random algorithm
+--S 3301 of 3333 ok to fail, differs by a constant
a0000:=integrate(t0000,x)
--R
--R
@@ -40673,7 +40673,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 3301
---S 3302 of 3333 ok to fail, random algorithm
+--S 3302 of 3333 ok to fail, differs by a constant
m0000:=a0000 - r0000
--R
--R
diff --git a/src/axiom-website/CATS/rich1a.input.pdf b/src/axiom-website/CATS/rich1a.input.pdf
index 4366ac0..1cfad11 100644
Binary files a/src/axiom-website/CATS/rich1a.input.pdf and b/src/axiom-website/CATS/rich1a.input.pdf differ
diff --git a/src/axiom-website/CATS/rich1b.input.pamphlet b/src/axiom-website/CATS/rich1b.input.pamphlet
index 7234288..1f09a0d 100644
--- a/src/axiom-website/CATS/rich1b.input.pamphlet
+++ b/src/axiom-website/CATS/rich1b.input.pamphlet
@@ -49865,7 +49865,7 @@ r0000:=2*asinh(sqrt(b*x)/sqrt(2))/b
--R Type: Expression(Integer)
--E 1964
---S 1965 of 2952
+--S 1965 of 2952 ok to fail, (non-algebraic residues)
a0000:=integrate(t0000,x)
--R
--R
@@ -49876,7 +49876,7 @@ a0000:=integrate(t0000,x)
--R Type: Union(Expression(Integer),...)
--E 1965
---S 1966 of 2952
+--S 1966 of 2952
m0000:=a0000 - r0000
--R
--R
diff --git a/src/axiom-website/CATS/rich1b.input.pdf b/src/axiom-website/CATS/rich1b.input.pdf
index 079dacf..ff54c9e 100644
Binary files a/src/axiom-website/CATS/rich1b.input.pdf and b/src/axiom-website/CATS/rich1b.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3a.input.pamphlet b/src/axiom-website/CATS/rich3a.input.pamphlet
index fc946de..29348ed 100644
--- a/src/axiom-website/CATS/rich3a.input.pamphlet
+++ b/src/axiom-website/CATS/rich3a.input.pamphlet
@@ -28,16 +28,16 @@ There are:
)set message auto off
)clear all
---S 1 of 1092
+--S 1 of 1092
t0:=x^2*(a+b*x)^n*(c+d*x)
--R
--R
--R 3 2 n
--R (1) (d x + c x )(b x + a)
--R Type: Expression(Integer)
---E 1
+--E 1
---S 2 of 1092
+--S 2 of 1092
r0:=a^2*(b*c-a*d)*(a+b*x)^(1+n)/(b^4*(1+n))-_
a*(2*b*c-3*a*d)*(a+b*x)^(2+n)/(b^4*(2+n))+_
(b*c-3*a*d)*(a+b*x)^(3+n)/(b^4*(3+n))+d*(a+b*x)^(4+n)/(b^4*(4+n))
@@ -75,9 +75,9 @@ r0:=a^2*(b*c-a*d)*(a+b*x)^(1+n)/(b^4*(1+n))-_
--R 4 4 4 3 4 2 4 4
--R b n + 10b n + 35b n + 50b n + 24b
--R Type: Expression(Integer)
---E 2
+--E 2
---S 3 of 1092
+--S 3 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -100,9 +100,9 @@ a0:=integrate(t0,x)
--R 4 4 4 3 4 2 4 4
--R b n + 10b n + 35b n + 50b n + 24b
--R Type: Union(Expression(Integer),...)
---E 3
+--E 3
---S 4 of 1092
+--S 4 of 1092
m0:=a0-r0
--R
--R
@@ -152,28 +152,28 @@ m0:=a0-r0
--R 4 4 4 3 4 2 4 4
--R b n + 10b n + 35b n + 50b n + 24b
--R Type: Expression(Integer)
---E 4
+--E 4
---S 5 of 1092
+--S 5 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 5
+--E 5
)clear all
---S 6 of 1092
+--S 6 of 1092
t0:=x*(a+b*x)^n*(c+d*x)
--R
--R
--R 2 n
--R (1) (d x + c x)(b x + a)
--R Type: Expression(Integer)
---E 6
+--E 6
---S 7 of 1092
+--S 7 of 1092
r0:=-a*(b*c-a*d)*(a+b*x)^(1+n)/(b^3*(1+n))+_
(b*c-2*a*d)*(a+b*x)^(2+n)/(b^3*(2+n))+d*(a+b*x)^(3+n)/(b^3*(3+n))
--R
@@ -191,9 +191,9 @@ r0:=-a*(b*c-a*d)*(a+b*x)^(1+n)/(b^3*(1+n))+_
--R 3 3 3 2 3 3
--R b n + 6b n + 11b n + 6b
--R Type: Expression(Integer)
---E 7
+--E 7
---S 8 of 1092
+--S 8 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -213,9 +213,9 @@ a0:=integrate(t0,x)
--R 3 3 3 2 3 3
--R b n + 6b n + 11b n + 6b
--R Type: Union(Expression(Integer),...)
---E 8
+--E 8
---S 9 of 1092
+--S 9 of 1092
m0:=a0-r0
--R
--R
@@ -244,28 +244,28 @@ m0:=a0-r0
--R 3 3 3 2 3 3
--R b n + 6b n + 11b n + 6b
--R Type: Expression(Integer)
---E 9
+--E 9
---S 10 of 1092
+--S 10 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 10
+--E 10
)clear all
---S 11 of 1092
+--S 11 of 1092
t0:=(a+b*x)^n*(c+d*x)
--R
--R
--R n
--R (1) (d x + c)(b x + a)
--R Type: Expression(Integer)
---E 11
+--E 11
---S 12 of 1092
+--S 12 of 1092
r0:=(b*c-a*d)*(a+b*x)^(1+n)/(b^2*(1+n))+d*(a+b*x)^(2+n)/(b^2*(2+n))
--R
--R
@@ -275,9 +275,9 @@ r0:=(b*c-a*d)*(a+b*x)^(1+n)/(b^2*(1+n))+d*(a+b*x)^(2+n)/(b^2*(2+n))
--R 2 2 2 2
--R b n + 3b n + 2b
--R Type: Expression(Integer)
---E 12
+--E 12
---S 13 of 1092
+--S 13 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -291,9 +291,9 @@ a0:=integrate(t0,x)
--R 2 2 2 2
--R b n + 3b n + 2b
--R Type: Union(Expression(Integer),...)
---E 13
+--E 13
---S 14 of 1092
+--S 14 of 1092
m0:=a0-r0
--R
--R
@@ -310,19 +310,19 @@ m0:=a0-r0
--R 2 2 2 2
--R b n + 3b n + 2b
--R Type: Expression(Integer)
---E 14
+--E 14
---S 15 of 1092
+--S 15 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 15
+--E 15
)clear all
---S 16 of 1092
+--S 16 of 1092
t0:=(a+b*x)^n*(c+d*x)/x
--R
--R
@@ -331,28 +331,28 @@ t0:=(a+b*x)^n*(c+d*x)/x
--R (1) -------------------
--R x
--R Type: Expression(Integer)
---E 16
+--E 16
---S 17 of 1092
+--S 17 of 1092
--r0:=d*(a+b*x)^(1+n)/(b*(1+n))-c*(a+b*x)^(1+n)*_
-- hypergeometric(1,1+n,2+n,(a+b*x)/a)/(a*(1+n))
---E 17
+--E 17
---S 18 of 1092
+--S 18 of 1092
--a0:=integrate(t0,x)
---E 18
+--E 18
---S 19 of 1092
+--S 19 of 1092
--m0:=a0-r0
---E 19
+--E 19
---S 20 of 1092
+--S 20 of 1092
--d0:=D(m0,x)
---E 20
+--E 20
)clear all
---S 21 of 1092
+--S 21 of 1092
t0:=x^m*(a+b*x)*(c+d*x)^5
--R
--R
@@ -366,9 +366,9 @@ t0:=x^m*(a+b*x)*(c+d*x)^5
--R m
--R x
--R Type: Expression(Integer)
---E 21
+--E 21
---S 22 of 1092
+--S 22 of 1092
r0:=a*c^5*x^(1+m)/(1+m)+c^4*(b*c+5*a*d)*x^(2+m)/(2+m)+_
5*c^3*d*(b*c+2*a*d)*x^(3+m)/(3+m)+10*c^2*d^2*(b*c+a*d)*_
x^(4+m)/(4+m)+5*c*d^3*(2*b*c+a*d)*x^(5+m)/(5+m)+_
@@ -466,9 +466,9 @@ r0:=a*c^5*x^(1+m)/(1+m)+c^4*(b*c+5*a*d)*x^(2+m)/(2+m)+_
--R 7 6 5 4 3 2
--R m + 28m + 322m + 1960m + 6769m + 13132m + 13068m + 5040
--R Type: Expression(Integer)
---E 22
+--E 22
---S 23 of 1092
+--S 23 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -568,9 +568,9 @@ a0:=integrate(t0,x)
--R 7 6 5 4 3 2
--R m + 28m + 322m + 1960m + 6769m + 13132m + 13068m + 5040
--R Type: Union(Expression(Integer),...)
---E 23
+--E 23
---S 24 of 1092
+--S 24 of 1092
m0:=a0-r0
--R
--R
@@ -766,19 +766,19 @@ m0:=a0-r0
--R 7 6 5 4 3 2
--R m + 28m + 322m + 1960m + 6769m + 13132m + 13068m + 5040
--R Type: Expression(Integer)
---E 24
+--E 24
---S 25 of 1092
+--S 25 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 25
+--E 25
)clear all
---S 26 of 1092
+--S 26 of 1092
t0:=x^3*(a+b*x)*(c+d*x)^5
--R
--R
@@ -789,9 +789,9 @@ t0:=x^3*(a+b*x)*(c+d*x)^5
--R 2 3 3 2 6 3 2 4 5 4 5 4 5 3
--R (10a c d + 10b c d )x + (10a c d + 5b c d)x + (5a c d + b c )x + a c x
--R Type: Polynomial(Integer)
---E 26
+--E 26
---S 27 of 1092
+--S 27 of 1092
r0:=1/4*a*c^5*x^4+1/5*c^4*(b*c+5*a*d)*x^5+5/6*c^3*d*(b*c+2*a*d)*x^6+_
10/7*c^2*d^2*(b*c+a*d)*x^7+5/8*c*d^3*(2*b*c+a*d)*x^8+_
1/9*d^4*(5*b*c+a*d)*x^9+1/10*b*d^5*x^10
@@ -810,9 +810,9 @@ r0:=1/4*a*c^5*x^4+1/5*c^4*(b*c+5*a*d)*x^5+5/6*c^3*d*(b*c+2*a*d)*x^6+_
--R - a c x
--R 4
--R Type: Polynomial(Fraction(Integer))
---E 27
+--E 27
---S 28 of 1092
+--S 28 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -829,27 +829,27 @@ a0:=integrate(t0,x)
--R - a c x
--R 4
--R Type: Polynomial(Fraction(Integer))
---E 28
+--E 28
---S 29 of 1092
+--S 29 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Polynomial(Fraction(Integer))
---E 29
+--E 29
---S 30 of 1092
+--S 30 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Polynomial(Fraction(Integer))
---E 30
+--E 30
)clear all
---S 31 of 1092
+--S 31 of 1092
t0:=x^2*(a+b*x)*(c+d*x)^5
--R
--R
@@ -860,9 +860,9 @@ t0:=x^2*(a+b*x)*(c+d*x)^5
--R 2 3 3 2 5 3 2 4 4 4 5 3 5 2
--R (10a c d + 10b c d )x + (10a c d + 5b c d)x + (5a c d + b c )x + a c x
--R Type: Polynomial(Integer)
---E 31
+--E 31
---S 32 of 1092
+--S 32 of 1092
r0:=-1/6*c^2*(b*c-a*d)*(c+d*x)^6/d^4+1/7*c*(3*b*c-2*a*d)*(c+d*x)^7/d^4-_
1/8*(3*b*c-a*d)*(c+d*x)^8/d^4+1/9*b*(c+d*x)^9/d^4
--R
@@ -883,9 +883,9 @@ r0:=-1/6*c^2*(b*c-a*d)*(c+d*x)^6/d^4+1/7*c*(3*b*c-2*a*d)*(c+d*x)^7/d^4-_
--R 4
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 32
+--E 32
---S 33 of 1092
+--S 33 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -902,9 +902,9 @@ a0:=integrate(t0,x)
--R - a c x
--R 3
--R Type: Polynomial(Fraction(Integer))
---E 33
+--E 33
---S 34 of 1092
+--S 34 of 1092
m0:=a0-r0
--R
--R
@@ -915,19 +915,19 @@ m0:=a0-r0
--R 4
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 34
+--E 34
---S 35 of 1092
+--S 35 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 35
+--E 35
)clear all
---S 36 of 1092
+--S 36 of 1092
t0:=x*(a+b*x)*(c+d*x)^5
--R
--R
@@ -938,9 +938,9 @@ t0:=x*(a+b*x)*(c+d*x)^5
--R 2 3 3 2 4 3 2 4 3 4 5 2 5
--R (10a c d + 10b c d )x + (10a c d + 5b c d)x + (5a c d + b c )x + a c x
--R Type: Polynomial(Integer)
---E 36
+--E 36
---S 37 of 1092
+--S 37 of 1092
r0:=1/6*c*(b*c-a*d)*(c+d*x)^6/d^3-1/7*(2*b*c-a*d)*(c+d*x)^7/d^3+_
1/8*b*(c+d*x)^8/d^3
--R
@@ -961,9 +961,9 @@ r0:=1/6*c*(b*c-a*d)*(c+d*x)^6/d^3-1/7*(2*b*c-a*d)*(c+d*x)^7/d^3+_
--R 3
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 37
+--E 37
---S 38 of 1092
+--S 38 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -980,9 +980,9 @@ a0:=integrate(t0,x)
--R - a c x
--R 2
--R Type: Polynomial(Fraction(Integer))
---E 38
+--E 38
---S 39 of 1092
+--S 39 of 1092
m0:=a0-r0
--R
--R
@@ -993,19 +993,19 @@ m0:=a0-r0
--R 3
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 39
+--E 39
---S 40 of 1092
+--S 40 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 40
+--E 40
)clear all
---S 41 of 1092
+--S 41 of 1092
t0:=(a+b*x)*(c+d*x)^5
--R
--R
@@ -1016,9 +1016,9 @@ t0:=(a+b*x)*(c+d*x)^5
--R 2 3 3 2 3 3 2 4 2 4 5 5
--R (10a c d + 10b c d )x + (10a c d + 5b c d)x + (5a c d + b c )x + a c
--R Type: Polynomial(Integer)
---E 41
+--E 41
---S 42 of 1092
+--S 42 of 1092
r0:=-1/6*(b*c-a*d)*(c+d*x)^6/d^2+1/7*b*(c+d*x)^7/d^2
--R
--R
@@ -1038,9 +1038,9 @@ r0:=-1/6*(b*c-a*d)*(c+d*x)^6/d^2+1/7*b*(c+d*x)^7/d^2
--R 2
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 42
+--E 42
---S 43 of 1092
+--S 43 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -1056,9 +1056,9 @@ a0:=integrate(t0,x)
--R 5
--R a c x
--R Type: Polynomial(Fraction(Integer))
---E 43
+--E 43
---S 44 of 1092
+--S 44 of 1092
m0:=a0-r0
--R
--R
@@ -1069,19 +1069,19 @@ m0:=a0-r0
--R 2
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 44
+--E 44
---S 45 of 1092
+--S 45 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 45
+--E 45
)clear all
---S 46 of 1092
+--S 46 of 1092
t0:=(a+b*x)*(c+d*x)^5/x
--R
--R
@@ -1094,9 +1094,9 @@ t0:=(a+b*x)*(c+d*x)^5/x
--R /
--R x
--R Type: Fraction(Polynomial(Integer))
---E 46
+--E 46
---S 47 of 1092
+--S 47 of 1092
r0:=5*a*c^4*d*x+5*a*c^3*d^2*x^2+10/3*a*c^2*d^3*x^3+_
5/4*a*c*d^4*x^4+1/5*a*d^5*x^5+1/6*b*(c+d*x)^6/d+a*c^5*log(x)
--R
@@ -1113,9 +1113,9 @@ r0:=5*a*c^4*d*x+5*a*c^3*d^2*x^2+10/3*a*c^2*d^3*x^3+_
--R /
--R 60d
--R Type: Expression(Integer)
---E 47
+--E 47
---S 48 of 1092
+--S 48 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -1131,9 +1131,9 @@ a0:=integrate(t0,x)
--R /
--R 60
--R Type: Union(Expression(Integer),...)
---E 48
+--E 48
---S 49 of 1092
+--S 49 of 1092
m0:=a0-r0
--R
--R
@@ -1142,19 +1142,19 @@ m0:=a0-r0
--R (4) - ----
--R 6d
--R Type: Expression(Integer)
---E 49
+--E 49
---S 50 of 1092
+--S 50 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 50
+--E 50
)clear all
---S 51 of 1092
+--S 51 of 1092
t0:=(a+b*x)*(c+d*x)^5/x^2
--R
--R
@@ -1168,9 +1168,9 @@ t0:=(a+b*x)*(c+d*x)^5/x^2
--R 2
--R x
--R Type: Fraction(Polynomial(Integer))
---E 51
+--E 51
---S 52 of 1092
+--S 52 of 1092
r0:=-a*c^5/x+5*c^3*d*(b*c+2*a*d)*x+5*c^2*d^2*(b*c+a*d)*x^2+_
5/3*c*d^3*(2*b*c+a*d)*x^3+1/4*d^4*(5*b*c+a*d)*x^4+_
1/5*b*d^5*x^5+c^4*(b*c+5*a*d)*log(x)
@@ -1188,9 +1188,9 @@ r0:=-a*c^5/x+5*c^3*d*(b*c+2*a*d)*x+5*c^2*d^2*(b*c+a*d)*x^2+_
--R /
--R 60x
--R Type: Expression(Integer)
---E 52
+--E 52
---S 53 of 1092
+--S 53 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -1206,27 +1206,27 @@ a0:=integrate(t0,x)
--R /
--R 60x
--R Type: Union(Expression(Integer),...)
---E 53
+--E 53
---S 54 of 1092
+--S 54 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 54
+--E 54
---S 55 of 1092
+--S 55 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 55
+--E 55
)clear all
---S 56 of 1092
+--S 56 of 1092
t0:=(a+b*x)*(c+d*x)^5/x^3
--R
--R
@@ -1240,9 +1240,9 @@ t0:=(a+b*x)*(c+d*x)^5/x^3
--R 3
--R x
--R Type: Fraction(Polynomial(Integer))
---E 56
+--E 56
---S 57 of 1092
+--S 57 of 1092
r0:=-1/2*a*c^5/x^2-c^4*(b*c+5*a*d)/x+10*c^2*d^2*(b*c+a*d)*x+_
5/2*c*d^3*(2*b*c+a*d)*x^2+1/3*d^4*(5*b*c+a*d)*x^3+_
1/4*b*d^5*x^4+5*c^3*d*(b*c+2*a*d)*log(x)
@@ -1261,9 +1261,9 @@ r0:=-1/2*a*c^5/x^2-c^4*(b*c+5*a*d)/x+10*c^2*d^2*(b*c+a*d)*x+_
--R 2
--R 12x
--R Type: Expression(Integer)
---E 57
+--E 57
---S 58 of 1092
+--S 58 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -1280,27 +1280,27 @@ a0:=integrate(t0,x)
--R 2
--R 12x
--R Type: Union(Expression(Integer),...)
---E 58
+--E 58
---S 59 of 1092
+--S 59 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 59
+--E 59
---S 60 of 1092
+--S 60 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 60
+--E 60
)clear all
---S 61 of 1092
+--S 61 of 1092
t0:=x*(a+b*x)*(c+d*x)^16
--R
--R
@@ -1329,9 +1329,9 @@ t0:=x*(a+b*x)*(c+d*x)^16
--R 14 2 15 3 15 16 2 16
--R (120a c d + 16b c d)x + (16a c d + b c )x + a c x
--R Type: Polynomial(Integer)
---E 61
+--E 61
---S 62 of 1092
+--S 62 of 1092
r0:=1/17*c*(b*c-a*d)*(c+d*x)^17/d^3-1/18*(2*b*c-a*d)*(c+d*x)^18/d^3+_
1/19*b*(c+d*x)^19/d^3
--R
@@ -1374,9 +1374,9 @@ r0:=1/17*c*(b*c-a*d)*(c+d*x)^17/d^3-1/18*(2*b*c-a*d)*(c+d*x)^18/d^3+_
--R 3
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 62
+--E 62
---S 63 of 1092
+--S 63 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -1411,9 +1411,9 @@ a0:=integrate(t0,x)
--R (30a c d + 4b c d)x + (-- a c d + - b c )x + - a c x
--R 3 3 2
--R Type: Polynomial(Fraction(Integer))
---E 63
+--E 63
---S 64 of 1092
+--S 64 of 1092
m0:=a0-r0
--R
--R
@@ -1424,19 +1424,19 @@ m0:=a0-r0
--R 3
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 64
+--E 64
---S 65 of 1092
+--S 65 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 65
+--E 65
)clear all
---S 66 of 1092
+--S 66 of 1092
t0:=x^2*(a+b*x)*(c+d*x)^16
--R
--R
@@ -1465,9 +1465,9 @@ t0:=x^2*(a+b*x)*(c+d*x)^16
--R 14 2 15 4 15 16 3 16 2
--R (120a c d + 16b c d)x + (16a c d + b c )x + a c x
--R Type: Polynomial(Integer)
---E 66
+--E 66
---S 67 of 1092
+--S 67 of 1092
r0:=-1/17*c^2*(b*c-a*d)*(c+d*x)^17/d^4+1/18*c*(3*b*c-2*a*d)*(c+d*x)^18/d^4-_
1/19*(3*b*c-a*d)*(c+d*x)^19/d^4+1/20*b*(c+d*x)^20/d^4
--R
@@ -1512,9 +1512,9 @@ r0:=-1/17*c^2*(b*c-a*d)*(c+d*x)^17/d^4+1/18*c*(3*b*c-2*a*d)*(c+d*x)^18/d^4-_
--R 4
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 67
+--E 67
---S 68 of 1092
+--S 68 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -1551,9 +1551,9 @@ a0:=integrate(t0,x)
--R (24a c d + -- b c d)x + (4a c d + - b c )x + - a c x
--R 5 4 3
--R Type: Polynomial(Fraction(Integer))
---E 68
+--E 68
---S 69 of 1092
+--S 69 of 1092
m0:=a0-r0
--R
--R
@@ -1564,19 +1564,19 @@ m0:=a0-r0
--R 4
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 69
+--E 69
---S 70 of 1092
+--S 70 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 70
+--E 70
)clear all
---S 71 of 1092
+--S 71 of 1092
t0:=x^3*(a+b*x)*(c+d*x)^16
--R
--R
@@ -1605,9 +1605,9 @@ t0:=x^3*(a+b*x)*(c+d*x)^16
--R 14 2 15 5 15 16 4 16 3
--R (120a c d + 16b c d)x + (16a c d + b c )x + a c x
--R Type: Polynomial(Integer)
---E 71
+--E 71
---S 72 of 1092
+--S 72 of 1092
r0:=1/17*c^3*(b*c-a*d)*(c+d*x)^17/d^5-1/18*c^2*(4*b*c-3*a*d)*(c+d*x)^18/d^5+_
3/19*c*(2*b*c-a*d)*(c+d*x)^19/d^5-1/20*(4*b*c-a*d)*(c+d*x)^20/d^5+_
1/21*b*(c+d*x)^21/d^5
@@ -1653,9 +1653,9 @@ r0:=1/17*c^3*(b*c-a*d)*(c+d*x)^17/d^5-1/18*c^2*(4*b*c-3*a*d)*(c+d*x)^18/d^5+_
--R 5
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 72
+--E 72
---S 73 of 1092
+--S 73 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -1692,9 +1692,9 @@ a0:=integrate(t0,x)
--R (20a c d + - b c d)x + (-- a c d + - b c )x + - a c x
--R 3 5 5 4
--R Type: Polynomial(Fraction(Integer))
---E 73
+--E 73
---S 74 of 1092
+--S 74 of 1092
m0:=a0-r0
--R
--R
@@ -1705,28 +1705,28 @@ m0:=a0-r0
--R 5
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 74
+--E 74
---S 75 of 1092
+--S 75 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 75
+--E 75
)clear all
---S 76 of 1092
+--S 76 of 1092
t0:=x^2*(2+x)^5*(2+3*x)
--R
--R
--R 8 7 6 5 4 3 2
--R (1) 3x + 32x + 140x + 320x + 400x + 256x + 64x
--R Type: Polynomial(Integer)
---E 76
+--E 76
---S 77 of 1092
+--S 77 of 1092
r0:=1/3*x^3*(2+x)^6
--R
--R
@@ -1734,9 +1734,9 @@ r0:=1/3*x^3*(2+x)^6
--R (2) - x + 4x + 20x + --- x + 80x + 64x + -- x
--R 3 3 3
--R Type: Polynomial(Fraction(Integer))
---E 77
+--E 77
---S 78 of 1092
+--S 78 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -1744,36 +1744,36 @@ a0:=integrate(t0,x)
--R (3) - x + 4x + 20x + --- x + 80x + 64x + -- x
--R 3 3 3
--R Type: Polynomial(Fraction(Integer))
---E 78
+--E 78
---S 79 of 1092
+--S 79 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Polynomial(Fraction(Integer))
---E 79
+--E 79
---S 80 of 1092
+--S 80 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Polynomial(Fraction(Integer))
---E 80
+--E 80
)clear all
---S 81 of 1092
+--S 81 of 1092
t0:=x^2*(a+b*x)^n*(c+d*x)^2
--R
--R
--R 2 4 3 2 2 n
--R (1) (d x + 2c d x + c x )(b x + a)
--R Type: Expression(Integer)
---E 81
+--E 81
---S 82 of 1092
+--S 82 of 1092
r0:=a^2*(b*c-a*d)^2*(a+b*x)^(1+n)/(b^5*(1+n))-2*a*(b*c-2*a*d)*(b*c-a*d)*_
(a+b*x)^(2+n)/(b^5*(2+n))+(b^2*c^2-6*a*b*c*d+6*a^2*d^2)*_
(a+b*x)^(3+n)/(b^5*(3+n))+2*d*(b*c-2*a*d)*(a+b*x)^(4+n)/(b^5*(4+n))+_
@@ -1838,9 +1838,9 @@ r0:=a^2*(b*c-a*d)^2*(a+b*x)^(1+n)/(b^5*(1+n))-2*a*(b*c-2*a*d)*(b*c-a*d)*_
--R 5 5 5 4 5 3 5 2 5 5
--R b n + 15b n + 85b n + 225b n + 274b n + 120b
--R Type: Expression(Integer)
---E 82
+--E 82
---S 83 of 1092
+--S 83 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -1898,9 +1898,9 @@ a0:=integrate(t0,x)
--R 5 5 5 4 5 3 5 2 5 5
--R b n + 15b n + 85b n + 225b n + 274b n + 120b
--R Type: Union(Expression(Integer),...)
---E 83
+--E 83
---S 84 of 1092
+--S 84 of 1092
m0:=a0-r0
--R
--R
@@ -2009,28 +2009,28 @@ m0:=a0-r0
--R 5 5 5 4 5 3 5 2 5 5
--R b n + 15b n + 85b n + 225b n + 274b n + 120b
--R Type: Expression(Integer)
---E 84
+--E 84
---S 85 of 1092
+--S 85 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 85
+--E 85
)clear all
---S 86 of 1092
+--S 86 of 1092
t0:=x*(a+b*x)^n*(c+d*x)^2
--R
--R
--R 2 3 2 2 n
--R (1) (d x + 2c d x + c x)(b x + a)
--R Type: Expression(Integer)
---E 86
+--E 86
---S 87 of 1092
+--S 87 of 1092
r0:=-a*(b*c-a*d)^2*(a+b*x)^(1+n)/(b^4*(1+n))+(b*c-3*a*d)*(b*c-a*d)*_
(a+b*x)^(2+n)/(b^4*(2+n))+d*(2*b*c-3*a*d)*(a+b*x)^(3+n)/_
(b^4*(3+n))+d^2*(a+b*x)^(4+n)/(b^4*(4+n))
@@ -2070,9 +2070,9 @@ r0:=-a*(b*c-a*d)^2*(a+b*x)^(1+n)/(b^4*(1+n))+(b*c-3*a*d)*(b*c-a*d)*_
--R 4 4 4 3 4 2 4 4
--R b n + 10b n + 35b n + 50b n + 24b
--R Type: Expression(Integer)
---E 87
+--E 87
---S 88 of 1092
+--S 88 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -2115,9 +2115,9 @@ a0:=integrate(t0,x)
--R 4 4 4 3 4 2 4 4
--R b n + 10b n + 35b n + 50b n + 24b
--R Type: Union(Expression(Integer),...)
---E 88
+--E 88
---S 89 of 1092
+--S 89 of 1092
m0:=a0-r0
--R
--R
@@ -2190,28 +2190,28 @@ m0:=a0-r0
--R 4 4 4 3 4 2 4 4
--R b n + 10b n + 35b n + 50b n + 24b
--R Type: Expression(Integer)
---E 89
+--E 89
---S 90 of 1092
+--S 90 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 90
+--E 90
)clear all
---S 91 of 1092
+--S 91 of 1092
t0:=(a+b*x)^n*(c+d*x)^2
--R
--R
--R 2 2 2 n
--R (1) (d x + 2c d x + c )(b x + a)
--R Type: Expression(Integer)
---E 91
+--E 91
---S 92 of 1092
+--S 92 of 1092
r0:=(b*c-a*d)^2*(a+b*x)^(1+n)/(b^3*(1+n))+2*d*(b*c-a*d)*(a+b*x)^(2+n)/_
(b^3*(2+n))+d^2*(a+b*x)^(3+n)/(b^3*(3+n))
--R
@@ -2238,9 +2238,9 @@ r0:=(b*c-a*d)^2*(a+b*x)^(1+n)/(b^3*(1+n))+2*d*(b*c-a*d)*(a+b*x)^(2+n)/_
--R 3 3 3 2 3 3
--R b n + 6b n + 11b n + 6b
--R Type: Expression(Integer)
---E 92
+--E 92
---S 93 of 1092
+--S 93 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -2263,9 +2263,9 @@ a0:=integrate(t0,x)
--R 3 3 3 2 3 3
--R b n + 6b n + 11b n + 6b
--R Type: Union(Expression(Integer),...)
---E 93
+--E 93
---S 94 of 1092
+--S 94 of 1092
m0:=a0-r0
--R
--R
@@ -2303,19 +2303,19 @@ m0:=a0-r0
--R 3 3 3 2 3 3
--R b n + 6b n + 11b n + 6b
--R Type: Expression(Integer)
---E 94
+--E 94
---S 95 of 1092
+--S 95 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 95
+--E 95
)clear all
---S 96 of 1092
+--S 96 of 1092
t0:=(a+b*x)^n*(c+d*x)^2/x
--R
--R
@@ -2324,29 +2324,29 @@ t0:=(a+b*x)^n*(c+d*x)^2/x
--R (1) ------------------------------
--R x
--R Type: Expression(Integer)
---E 96
+--E 96
---S 97 of 1092
+--S 97 of 1092
--r0:=-d*(a*d-b*c*(3+n))*(a+b*x)^(1+n)/(b^2*(1+n)*(2+n))+_
-- d*(a+b*x)^(1+n)*(c+d*x)/(b*(2+n))-c^2*(a+b*x)^(1+n)*_
-- hypergeometric(1,1+n,2+n,(a+b*x)/a)/(a*(1+n))
---E 97
+--E 97
---S 98 of 1092
+--S 98 of 1092
--a0:=integrate(t0,x)
---E 98
+--E 98
---S 99 of 1092
+--S 99 of 1092
--m0:=a0-r0
---E 99
+--E 99
---S 100 of 1092
+--S 100 of 1092
--d0:=D(m0,x)
---E 100
+--E 100
)clear all
---S 101 of 1092
+--S 101 of 1092
t0:=x^m*(a+b*x)^2*(c+d*x)^5
--R
--R
@@ -2363,9 +2363,9 @@ t0:=x^m*(a+b*x)^2*(c+d*x)^5
--R m
--R x
--R Type: Expression(Integer)
---E 101
+--E 101
---S 102 of 1092
+--S 102 of 1092
r0:=a^2*c^5*x^(1+m)/(1+m)+a*c^4*(2*b*c+5*a*d)*x^(2+m)/(2+m)+_
c^3*(b^2*c^2+10*a*b*c*d+10*a^2*d^2)*x^(3+m)/(3+m)+_
5*c^2*d*(b^2*c^2+4*a*b*c*d+2*a^2*d^2)*x^(4+m)/(4+m)+_
@@ -2531,9 +2531,9 @@ r0:=a^2*c^5*x^(1+m)/(1+m)+a*c^4*(2*b*c+5*a*d)*x^(2+m)/(2+m)+_
--R 8 7 6 5 4 3 2
--R m + 36m + 546m + 4536m + 22449m + 67284m + 118124m + 109584m + 40320
--R Type: Expression(Integer)
---E 102
+--E 102
---S 103 of 1092
+--S 103 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -2699,9 +2699,9 @@ a0:=integrate(t0,x)
--R 8 7 6 5 4 3 2
--R m + 36m + 546m + 4536m + 22449m + 67284m + 118124m + 109584m + 40320
--R Type: Union(Expression(Integer),...)
---E 103
+--E 103
---S 104 of 1092
+--S 104 of 1092
m0:=a0-r0
--R
--R
@@ -3023,19 +3023,19 @@ m0:=a0-r0
--R 8 7 6 5 4 3 2
--R m + 36m + 546m + 4536m + 22449m + 67284m + 118124m + 109584m + 40320
--R Type: Expression(Integer)
---E 104
+--E 104
---S 105 of 1092
+--S 105 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 105
+--E 105
)clear all
---S 106 of 1092
+--S 106 of 1092
t0:=x^3*(a+b*x)^2*(c+d*x)^16
--R
--R
@@ -3088,9 +3088,9 @@ t0:=x^3*(a+b*x)^2*(c+d*x)^16
--R 2 14 2 15 2 16 5 2 15 16 4 2 16 3
--R (120a c d + 32a b c d + b c )x + (16a c d + 2a b c )x + a c x
--R Type: Polynomial(Integer)
---E 106
+--E 106
---S 107 of 1092
+--S 107 of 1092
r0:=-1/17*c^3*(b*c-a*d)^2*(c+d*x)^17/d^6+1/18*c^2*(5*b*c-3*a*d)*_
(b*c-a*d)*(c+d*x)^18/d^6-1/19*c*(10*b^2*c^2-12*a*b*c*d+_
3*a^2*d^2)*(c+d*x)^19/d^6+1/20*(10*b^2*c^2-8*a*b*c*d+a^2*d^2)*_
@@ -3169,9 +3169,9 @@ r0:=-1/17*c^3*(b*c-a*d)^2*(c+d*x)^17/d^6+1/18*c^2*(5*b*c-3*a*d)*_
--R 6
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 107
+--E 107
---S 108 of 1092
+--S 108 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -3239,9 +3239,9 @@ a0:=integrate(t0,x)
--R (20a c d + -- a b c d + - b c )x + (-- a c d + - a b c )x + - a c x
--R 3 6 5 5 4
--R Type: Polynomial(Fraction(Integer))
---E 108
+--E 108
---S 109 of 1092
+--S 109 of 1092
m0:=a0-r0
--R
--R
@@ -3252,19 +3252,19 @@ m0:=a0-r0
--R 6
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 109
+--E 109
---S 110 of 1092
+--S 110 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 110
+--E 110
)clear all
---S 111 of 1092
+--S 111 of 1092
t0:=x^2*(a+b*x)^2*(c+d*x)^16
--R
--R
@@ -3317,9 +3317,9 @@ t0:=x^2*(a+b*x)^2*(c+d*x)^16
--R 2 14 2 15 2 16 4 2 15 16 3 2 16 2
--R (120a c d + 32a b c d + b c )x + (16a c d + 2a b c )x + a c x
--R Type: Polynomial(Integer)
---E 111
+--E 111
---S 112 of 1092
+--S 112 of 1092
r0:=1/17*c^2*(b*c-a*d)^2*(c+d*x)^17/d^5-1/9*c*(b*c-a*d)*(2*b*c-a*d)*_
(c+d*x)^18/d^5+1/19*(6*b^2*c^2-6*a*b*c*d+a^2*d^2)*(c+d*x)^19/d^5-_
1/10*b*(2*b*c-a*d)*(c+d*x)^20/d^5+1/21*b^2*(c+d*x)^21/d^5
@@ -3394,9 +3394,9 @@ r0:=1/17*c^2*(b*c-a*d)^2*(c+d*x)^17/d^5-1/9*c*(b*c-a*d)*(2*b*c-a*d)*_
--R 5
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 112
+--E 112
---S 113 of 1092
+--S 113 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -3462,9 +3462,9 @@ a0:=integrate(t0,x)
--R (24a c d + -- a b c d + - b c )x + (4a c d + - a b c )x + - a c x
--R 5 5 2 3
--R Type: Polynomial(Fraction(Integer))
---E 113
+--E 113
---S 114 of 1092
+--S 114 of 1092
m0:=a0-r0
--R
--R
@@ -3475,19 +3475,19 @@ m0:=a0-r0
--R 5
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 114
+--E 114
---S 115 of 1092
+--S 115 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 115
+--E 115
)clear all
---S 116 of 1092
+--S 116 of 1092
t0:=x*(a+b*x)^2*(c+d*x)^16
--R
--R
@@ -3540,9 +3540,9 @@ t0:=x*(a+b*x)^2*(c+d*x)^16
--R 2 14 2 15 2 16 3 2 15 16 2 2 16
--R (120a c d + 32a b c d + b c )x + (16a c d + 2a b c )x + a c x
--R Type: Polynomial(Integer)
---E 116
+--E 116
---S 117 of 1092
+--S 117 of 1092
r0:=-1/17*c*(b*c-a*d)^2*(c+d*x)^17/d^4+1/18*(b*c-a*d)*(3*b*c-a*d)*_
(c+d*x)^18/d^4-1/19*b*(3*b*c-2*a*d)*(c+d*x)^19/d^4+_
1/20*b^2*(c+d*x)^20/d^4
@@ -3616,9 +3616,9 @@ r0:=-1/17*c*(b*c-a*d)^2*(c+d*x)^17/d^4+1/18*(b*c-a*d)*(3*b*c-a*d)*_
--R 4
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 117
+--E 117
---S 118 of 1092
+--S 118 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -3683,9 +3683,9 @@ a0:=integrate(t0,x)
--R (30a c d + 8a b c d + - b c )x + (-- a c d + - a b c )x + - a c x
--R 4 3 3 2
--R Type: Polynomial(Fraction(Integer))
---E 118
+--E 118
---S 119 of 1092
+--S 119 of 1092
m0:=a0-r0
--R
--R
@@ -3696,28 +3696,28 @@ m0:=a0-r0
--R 4
--R d
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 119
+--E 119
---S 120 of 1092
+--S 120 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Fraction(Polynomial(Fraction(Integer)))
---E 120
+--E 120
)clear all
---S 121 of 1092
+--S 121 of 1092
t0:=x^2*(a+b*x)^n*(c+d*x)^3
--R
--R
--R 3 5 2 4 2 3 3 2 n
--R (1) (d x + 3c d x + 3c d x + c x )(b x + a)
--R Type: Expression(Integer)
---E 121
+--E 121
---S 122 of 1092
+--S 122 of 1092
r0:=a^2*(b*c-a*d)^3*(a+b*x)^(1+n)/(b^6*(1+n))-a*(2*b*c-5*a*d)*_
(b*c-a*d)^2*(a+b*x)^(2+n)/(b^6*(2+n))+(b*c-a*d)*_
(b^2*c^2-8*a*b*c*d+10*a^2*d^2)*(a+b*x)^(3+n)/(b^6*(3+n))+_
@@ -3828,9 +3828,9 @@ r0:=a^2*(b*c-a*d)^3*(a+b*x)^(1+n)/(b^6*(1+n))-a*(2*b*c-5*a*d)*_
--R 6 6 6 5 6 4 6 3 6 2 6 6
--R b n + 21b n + 175b n + 735b n + 1624b n + 1764b n + 720b
--R Type: Expression(Integer)
---E 122
+--E 122
---S 123 of 1092
+--S 123 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -3921,9 +3921,9 @@ a0:=integrate(t0,x)
--R 6 6 6 5 6 4 6 3 6 2 6 6
--R b n + 21b n + 175b n + 735b n + 1624b n + 1764b n + 720b
--R Type: Union(Expression(Integer),...)
---E 123
+--E 123
---S 124 of 1092
+--S 124 of 1092
m0:=a0-r0
--R
--R
@@ -4113,28 +4113,28 @@ m0:=a0-r0
--R 6 6 6 5 6 4 6 3 6 2 6 6
--R b n + 21b n + 175b n + 735b n + 1624b n + 1764b n + 720b
--R Type: Expression(Integer)
---E 124
+--E 124
---S 125 of 1092
+--S 125 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 125
+--E 125
)clear all
---S 126 of 1092
+--S 126 of 1092
t0:=x*(a+b*x)^n*(c+d*x)^3
--R
--R
--R 3 4 2 3 2 2 3 n
--R (1) (d x + 3c d x + 3c d x + c x)(b x + a)
--R Type: Expression(Integer)
---E 126
+--E 126
---S 127 of 1092
+--S 127 of 1092
r0:=-a*(b*c-a*d)^3*(a+b*x)^(1+n)/(b^5*(1+n))+(b*c-4*a*d)*(b*c-a*d)^2*_
(a+b*x)^(2+n)/(b^5*(2+n))+3*d*(b*c-2*a*d)*(b*c-a*d)*(a+b*x)^(3+n)/_
(b^5*(3+n))+d^2*(3*b*c-4*a*d)*(a+b*x)^(4+n)/(b^5*(4+n))+_
@@ -4208,9 +4208,9 @@ r0:=-a*(b*c-a*d)^3*(a+b*x)^(1+n)/(b^5*(1+n))+(b*c-4*a*d)*(b*c-a*d)^2*_
--R 5 5 5 4 5 3 5 2 5 5
--R b n + 15b n + 85b n + 225b n + 274b n + 120b
--R Type: Expression(Integer)
---E 127
+--E 127
---S 128 of 1092
+--S 128 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -4277,9 +4277,9 @@ a0:=integrate(t0,x)
--R 5 5 5 4 5 3 5 2 5 5
--R b n + 15b n + 85b n + 225b n + 274b n + 120b
--R Type: Union(Expression(Integer),...)
---E 128
+--E 128
---S 129 of 1092
+--S 129 of 1092
m0:=a0-r0
--R
--R
@@ -4412,28 +4412,28 @@ m0:=a0-r0
--R 5 5 5 4 5 3 5 2 5 5
--R b n + 15b n + 85b n + 225b n + 274b n + 120b
--R Type: Expression(Integer)
---E 129
+--E 129
---S 130 of 1092
+--S 130 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 130
+--E 130
)clear all
---S 131 of 1092
+--S 131 of 1092
t0:=(a+b*x)^n*(c+d*x)^3
--R
--R
--R 3 3 2 2 2 3 n
--R (1) (d x + 3c d x + 3c d x + c )(b x + a)
--R Type: Expression(Integer)
---E 131
+--E 131
---S 132 of 1092
+--S 132 of 1092
r0:=(b*c-a*d)^3*(a+b*x)^(1+n)/(b^4*(1+n))+3*d*(b*c-a*d)^2*_
(a+b*x)^(2+n)/(b^4*(2+n))+3*d^2*(b*c-a*d)*(a+b*x)^(3+n)/_
(b^4*(3+n))+d^3*(a+b*x)^(4+n)/(b^4*(4+n))
@@ -4479,9 +4479,9 @@ r0:=(b*c-a*d)^3*(a+b*x)^(1+n)/(b^4*(1+n))+3*d*(b*c-a*d)^2*_
--R 4 4 4 3 4 2 4 4
--R b n + 10b n + 35b n + 50b n + 24b
--R Type: Expression(Integer)
---E 132
+--E 132
---S 133 of 1092
+--S 133 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -4530,9 +4530,9 @@ a0:=integrate(t0,x)
--R 4 4 4 3 4 2 4 4
--R b n + 10b n + 35b n + 50b n + 24b
--R Type: Union(Expression(Integer),...)
---E 133
+--E 133
---S 134 of 1092
+--S 134 of 1092
m0:=a0-r0
--R
--R
@@ -4620,19 +4620,19 @@ m0:=a0-r0
--R 4 4 4 3 4 2 4 4
--R b n + 10b n + 35b n + 50b n + 24b
--R Type: Expression(Integer)
---E 134
+--E 134
---S 135 of 1092
+--S 135 of 1092
d0:=normalize m0
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 135
+--E 135
)clear all
---S 136 of 1092
+--S 136 of 1092
t0:=(a+b*x)^n*(c+d*x)^3/x
--R
--R
@@ -4641,30 +4641,30 @@ t0:=(a+b*x)^n*(c+d*x)^3/x
--R (1) ----------------------------------------
--R x
--R Type: Expression(Integer)
---E 136
+--E 136
---S 137 of 1092
+--S 137 of 1092
--r0:=3*c^2*d*(a+b*x)^(1+n)/(b*(1+n))-3*a*c*d^2*(a+b*x)^(1+n)/(b^2*(1+n))+_
-- a^2*d^3*(a+b*x)^(1+n)/(b^3*(1+n))+3*c*d^2*(a+b*x)^(2+n)/(b^2*(2+n))-_
-- 2*a*d^3*(a+b*x)^(2+n)/(b^3*(2+n))+d^3*(a+b*x)^(3+n)/(b^3*(3+n))-_
-- c^3*(a+b*x)^(1+n)*hypergeometric(1,1+n,2+n,(a+b*x)/a)/(a*(1+n))
---E 137
+--E 137
---S 138 of 1092
+--S 138 of 1092
--a0:=integrate(t0,x)
---E 138
+--E 138
---S 139 of 1092
+--S 139 of 1092
--m0:=a0-r0
---E 139
+--E 139
---S 140 of 1092
+--S 140 of 1092
--d0:=D(m0,x)
---E 140
+--E 140
)clear all
---S 141 of 1092
+--S 141 of 1092
t0:=x^m*(c+d*x)/(a+b*x)
--R
--R
@@ -4673,28 +4673,28 @@ t0:=x^m*(c+d*x)/(a+b*x)
--R (1) -----------
--R b x + a
--R Type: Expression(Integer)
---E 141
+--E 141
---S 142 of 1092
+--S 142 of 1092
--r0:=d*x^(1+m)/(b*(1+m))+(b*c-a*d)*x^(1+m)*_
-- hypergeometric(1,1+m,2+m,-b*x/a)/(a*b*(1+m))
---E 142
+--E 142
---S 143 of 1092
+--S 143 of 1092
--a0:=integrate(t0,x)
---E 143
+--E 143
---S 144 of 1092
+--S 144 of 1092
--m0:=a0-r0
---E 144
+--E 144
---S 145 of 1092
+--S 145 of 1092
--d0:=D(m0,x)
---E 145
+--E 145
)clear all
---S 146 of 1092
+--S 146 of 1092
t0:=x^4*(c+d*x)/(a+b*x)
--R
--R
@@ -4703,9 +4703,9 @@ t0:=x^4*(c+d*x)/(a+b*x)
--R (1) -----------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 146
+--E 146
---S 147 of 1092
+--S 147 of 1092
r0:=-a^3*(b*c-a*d)*x/b^5+1/2*a^2*(b*c-a*d)*x^2/b^4-1/3*a*(b*c-a*d)*x^3/b^3+_
1/4*(b*c-a*d)*x^4/b^2+1/5*d*x^5/b+a^4*(b*c-a*d)*log(a+b*x)/b^6
--R
@@ -4720,9 +4720,9 @@ r0:=-a^3*(b*c-a*d)*x/b^5+1/2*a^2*(b*c-a*d)*x^2/b^4-1/3*a*(b*c-a*d)*x^3/b^3+_
--R 6
--R 60b
--R Type: Expression(Integer)
---E 147
+--E 147
---S 148 of 1092
+--S 148 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -4736,27 +4736,27 @@ a0:=integrate(t0,x)
--R 6
--R 60b
--R Type: Union(Expression(Integer),...)
---E 148
+--E 148
---S 149 of 1092
+--S 149 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 149
+--E 149
---S 150 of 1092
+--S 150 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 150
+--E 150
)clear all
---S 151 of 1092
+--S 151 of 1092
t0:=x^3*(c+d*x)/(a+b*x)
--R
--R
@@ -4765,9 +4765,9 @@ t0:=x^3*(c+d*x)/(a+b*x)
--R (1) -----------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 151
+--E 151
---S 152 of 1092
+--S 152 of 1092
r0:=a^2*(b*c-a*d)*x/b^4-1/2*a*(b*c-a*d)*x^2/b^3+1/3*(b*c-a*d)*x^3/b^2+_
1/4*d*x^4/b-a^3*(b*c-a*d)*log(a+b*x)/b^5
--R
@@ -4782,9 +4782,9 @@ r0:=a^2*(b*c-a*d)*x/b^4-1/2*a*(b*c-a*d)*x^2/b^3+1/3*(b*c-a*d)*x^3/b^2+_
--R 5
--R 12b
--R Type: Expression(Integer)
---E 152
+--E 152
---S 153 of 1092
+--S 153 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -4798,27 +4798,27 @@ a0:=integrate(t0,x)
--R 5
--R 12b
--R Type: Union(Expression(Integer),...)
---E 153
+--E 153
---S 154 of 1092
+--S 154 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 154
+--E 154
---S 155 of 1092
+--S 155 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 155
+--E 155
)clear all
---S 156 of 1092
+--S 156 of 1092
t0:=x^2*(c+d*x)/(a+b*x)
--R
--R
@@ -4827,9 +4827,9 @@ t0:=x^2*(c+d*x)/(a+b*x)
--R (1) -----------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 156
+--E 156
---S 157 of 1092
+--S 157 of 1092
r0:=-a*(b*c-a*d)*x/b^3+1/2*(b*c-a*d)*x^2/b^2+1/3*d*x^3/b+_
a^2*(b*c-a*d)*log(a+b*x)/b^4
--R
@@ -4844,9 +4844,9 @@ r0:=-a*(b*c-a*d)*x/b^3+1/2*(b*c-a*d)*x^2/b^2+1/3*d*x^3/b+_
--R 4
--R 6b
--R Type: Expression(Integer)
---E 157
+--E 157
---S 158 of 1092
+--S 158 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -4860,27 +4860,27 @@ a0:=integrate(t0,x)
--R 4
--R 6b
--R Type: Union(Expression(Integer),...)
---E 158
+--E 158
---S 159 of 1092
+--S 159 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 159
+--E 159
---S 160 of 1092
+--S 160 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 160
+--E 160
)clear all
---S 161 of 1092
+--S 161 of 1092
t0:=x*(c+d*x)/(a+b*x)
--R
--R
@@ -4889,9 +4889,9 @@ t0:=x*(c+d*x)/(a+b*x)
--R (1) ----------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 161
+--E 161
---S 162 of 1092
+--S 162 of 1092
r0:=(b*c-a*d)*x/b^2+1/2*d*x^2/b-a*(b*c-a*d)*log(a+b*x)/b^3
--R
--R
@@ -4901,9 +4901,9 @@ r0:=(b*c-a*d)*x/b^2+1/2*d*x^2/b-a*(b*c-a*d)*log(a+b*x)/b^3
--R 3
--R 2b
--R Type: Expression(Integer)
---E 162
+--E 162
---S 163 of 1092
+--S 163 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -4913,27 +4913,27 @@ a0:=integrate(t0,x)
--R 3
--R 2b
--R Type: Union(Expression(Integer),...)
---E 163
+--E 163
---S 164 of 1092
+--S 164 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 164
+--E 164
---S 165 of 1092
+--S 165 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 165
+--E 165
)clear all
---S 166 of 1092
+--S 166 of 1092
t0:=(c+d*x)/(a+b*x)
--R
--R
@@ -4941,9 +4941,9 @@ t0:=(c+d*x)/(a+b*x)
--R (1) -------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 166
+--E 166
---S 167 of 1092
+--S 167 of 1092
r0:=d*x/b+(b*c-a*d)*log(a+b*x)/b^2
--R
--R
@@ -4952,9 +4952,9 @@ r0:=d*x/b+(b*c-a*d)*log(a+b*x)/b^2
--R 2
--R b
--R Type: Expression(Integer)
---E 167
+--E 167
---S 168 of 1092
+--S 168 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -4963,27 +4963,27 @@ a0:=integrate(t0,x)
--R 2
--R b
--R Type: Union(Expression(Integer),...)
---E 168
+--E 168
---S 169 of 1092
+--S 169 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 169
+--E 169
---S 170 of 1092
+--S 170 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 170
+--E 170
)clear all
---S 171 of 1092
+--S 171 of 1092
t0:=(c+d*x)/(x*(a+b*x))
--R
--R
@@ -4992,9 +4992,9 @@ t0:=(c+d*x)/(x*(a+b*x))
--R 2
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 171
+--E 171
---S 172 of 1092
+--S 172 of 1092
r0:=c*log(x)/a-(b*c-a*d)*log(a+b*x)/(a*b)
--R
--R
@@ -5002,9 +5002,9 @@ r0:=c*log(x)/a-(b*c-a*d)*log(a+b*x)/(a*b)
--R (2) ------------------------------------
--R a b
--R Type: Expression(Integer)
---E 172
+--E 172
---S 173 of 1092
+--S 173 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5012,27 +5012,27 @@ a0:=integrate(t0,x)
--R (3) ------------------------------------
--R a b
--R Type: Union(Expression(Integer),...)
---E 173
+--E 173
---S 174 of 1092
+--S 174 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 174
+--E 174
---S 175 of 1092
+--S 175 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 175
+--E 175
)clear all
---S 176 of 1092
+--S 176 of 1092
t0:=(c+d*x)/(x^2*(a+b*x))
--R
--R
@@ -5041,9 +5041,9 @@ t0:=(c+d*x)/(x^2*(a+b*x))
--R 3 2
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 176
+--E 176
---S 177 of 1092
+--S 177 of 1092
r0:=-c/(a*x)-(b*c-a*d)*log(x)/a^2+(b*c-a*d)*log(a+b*x)/a^2
--R
--R
@@ -5052,9 +5052,9 @@ r0:=-c/(a*x)-(b*c-a*d)*log(x)/a^2+(b*c-a*d)*log(a+b*x)/a^2
--R 2
--R a x
--R Type: Expression(Integer)
---E 177
+--E 177
---S 178 of 1092
+--S 178 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5063,27 +5063,27 @@ a0:=integrate(t0,x)
--R 2
--R a x
--R Type: Union(Expression(Integer),...)
---E 178
+--E 178
---S 179 of 1092
+--S 179 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 179
+--E 179
---S 180 of 1092
+--S 180 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 180
+--E 180
)clear all
---S 181 of 1092
+--S 181 of 1092
t0:=(c+d*x)/(x^3*(a+b*x))
--R
--R
@@ -5092,9 +5092,9 @@ t0:=(c+d*x)/(x^3*(a+b*x))
--R 4 3
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 181
+--E 181
---S 182 of 1092
+--S 182 of 1092
r0:=-1/2*c/(a*x^2)+(b*c-a*d)/(a^2*x)+b*(b*c-a*d)*log(x)/a^3-_
b*(b*c-a*d)*log(a+b*x)/a^3
--R
@@ -5109,9 +5109,9 @@ r0:=-1/2*c/(a*x^2)+(b*c-a*d)/(a^2*x)+b*(b*c-a*d)*log(x)/a^3-_
--R 3 2
--R 2a x
--R Type: Expression(Integer)
---E 182
+--E 182
---S 183 of 1092
+--S 183 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5125,27 +5125,27 @@ a0:=integrate(t0,x)
--R 3 2
--R 2a x
--R Type: Union(Expression(Integer),...)
---E 183
+--E 183
---S 184 of 1092
+--S 184 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 184
+--E 184
---S 185 of 1092
+--S 185 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 185
+--E 185
)clear all
---S 186 of 1092
+--S 186 of 1092
t0:=(c+d*x)/(x^4*(a+b*x))
--R
--R
@@ -5154,9 +5154,9 @@ t0:=(c+d*x)/(x^4*(a+b*x))
--R 5 4
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 186
+--E 186
---S 187 of 1092
+--S 187 of 1092
r0:=-1/3*c/(a*x^3)+1/2*(b*c-a*d)/(a^2*x^2)-b*(b*c-a*d)/(a^3*x)-_
b^2*(b*c-a*d)*log(x)/a^4+b^2*(b*c-a*d)*log(a+b*x)/a^4
--R
@@ -5171,9 +5171,9 @@ r0:=-1/3*c/(a*x^3)+1/2*(b*c-a*d)/(a^2*x^2)-b*(b*c-a*d)/(a^3*x)-_
--R 4 3
--R 6a x
--R Type: Expression(Integer)
---E 187
+--E 187
---S 188 of 1092
+--S 188 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5187,27 +5187,27 @@ a0:=integrate(t0,x)
--R 4 3
--R 6a x
--R Type: Union(Expression(Integer),...)
---E 188
+--E 188
---S 189 of 1092
+--S 189 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 189
+--E 189
---S 190 of 1092
+--S 190 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 190
+--E 190
)clear all
---S 191 of 1092
+--S 191 of 1092
t0:=(c+d*x)/(x^5*(a+b*x))
--R
--R
@@ -5216,9 +5216,9 @@ t0:=(c+d*x)/(x^5*(a+b*x))
--R 6 5
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 191
+--E 191
---S 192 of 1092
+--S 192 of 1092
r0:=-1/4*c/(a*x^4)+1/3*(b*c-a*d)/(a^2*x^3)-1/2*b*(b*c-a*d)/(a^3*x^2)+_
b^2*(b*c-a*d)/(a^4*x)+b^3*(b*c-a*d)*log(x)/a^5-_
b^3*(b*c-a*d)*log(a+b*x)/a^5
@@ -5234,9 +5234,9 @@ r0:=-1/4*c/(a*x^4)+1/3*(b*c-a*d)/(a^2*x^3)-1/2*b*(b*c-a*d)/(a^3*x^2)+_
--R 5 4
--R 12a x
--R Type: Expression(Integer)
---E 192
+--E 192
---S 193 of 1092
+--S 193 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5250,27 +5250,27 @@ a0:=integrate(t0,x)
--R 5 4
--R 12a x
--R Type: Union(Expression(Integer),...)
---E 193
+--E 193
---S 194 of 1092
+--S 194 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 194
+--E 194
---S 195 of 1092
+--S 195 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 195
+--E 195
)clear all
---S 196 of 1092
+--S 196 of 1092
t0:=x^m*(c+d*x)^2/(a+b*x)
--R
--R
@@ -5279,29 +5279,29 @@ t0:=x^m*(c+d*x)^2/(a+b*x)
--R (1) ----------------------
--R b x + a
--R Type: Expression(Integer)
---E 196
+--E 196
---S 197 of 1092
+--S 197 of 1092
--r0:=-d*(a*d*(2+m)-b*c*(3+m))*x^(1+m)/(b^2*(1+m)*(2+m))+_
-- d*x^(1+m)*(c+d*x)/(b*(2+m))+(b*c-a*d)^2*x^(1+m)*_
-- hypergeometric(1,1+m,2+m,-b*x/a)/(a*b^2*(1+m))
---E 197
+--E 197
---S 198 of 1092
+--S 198 of 1092
--a0:=integrate(t0,x)
---E 198
+--E 198
---S 199 of 1092
+--S 199 of 1092
--m0:=a0-r0
---E 199
+--E 199
---S 200 of 1092
+--S 200 of 1092
--d0:=D(m0,x)
---E 200
+--E 200
)clear all
---S 201 of 1092
+--S 201 of 1092
t0:=x^4*(c+d*x)^2/(a+b*x)
--R
--R
@@ -5310,9 +5310,9 @@ t0:=x^4*(c+d*x)^2/(a+b*x)
--R (1) ---------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 201
+--E 201
---S 202 of 1092
+--S 202 of 1092
r0:=-a^3*(b*c-a*d)^2*x/b^6+1/2*a^2*(b*c-a*d)^2*x^2/b^5-_
1/3*a*(b*c-a*d)^2*x^3/b^4+1/4*(b*c-a*d)^2*x^4/b^3+_
1/5*d*(2*b*c-a*d)*x^5/b^2+1/6*d^2*x^6/b+a^4*(b*c-a*d)^2*log(a+b*x)/b^7
@@ -5334,9 +5334,9 @@ r0:=-a^3*(b*c-a*d)^2*x/b^6+1/2*a^2*(b*c-a*d)^2*x^2/b^5-_
--R 7
--R 60b
--R Type: Expression(Integer)
---E 202
+--E 202
---S 203 of 1092
+--S 203 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5356,27 +5356,27 @@ a0:=integrate(t0,x)
--R 7
--R 60b
--R Type: Union(Expression(Integer),...)
---E 203
+--E 203
---S 204 of 1092
+--S 204 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 204
+--E 204
---S 205 of 1092
+--S 205 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 205
+--E 205
)clear all
---S 206 of 1092
+--S 206 of 1092
t0:=x^3*(c+d*x)^2/(a+b*x)
--R
--R
@@ -5385,9 +5385,9 @@ t0:=x^3*(c+d*x)^2/(a+b*x)
--R (1) ---------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 206
+--E 206
---S 207 of 1092
+--S 207 of 1092
r0:=a^2*(b*c-a*d)^2*x/b^5-1/2*a*(b*c-a*d)^2*x^2/b^4+_
1/3*(b*c-a*d)^2*x^3/b^3+1/4*d*(2*b*c-a*d)*x^4/b^2+1/5*d^2*x^5/b-_
a^3*(b*c-a*d)^2*log(a+b*x)/b^6
@@ -5406,9 +5406,9 @@ r0:=a^2*(b*c-a*d)^2*x/b^5-1/2*a*(b*c-a*d)^2*x^2/b^4+_
--R 6
--R 60b
--R Type: Expression(Integer)
---E 207
+--E 207
---S 208 of 1092
+--S 208 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5425,27 +5425,27 @@ a0:=integrate(t0,x)
--R 6
--R 60b
--R Type: Union(Expression(Integer),...)
---E 208
+--E 208
---S 209 of 1092
+--S 209 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 209
+--E 209
---S 210 of 1092
+--S 210 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 210
+--E 210
)clear all
---S 211 of 1092
+--S 211 of 1092
t0:=x^2*(c+d*x)^2/(a+b*x)
--R
--R
@@ -5454,9 +5454,9 @@ t0:=x^2*(c+d*x)^2/(a+b*x)
--R (1) ---------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 211
+--E 211
---S 212 of 1092
+--S 212 of 1092
r0:=-a*(b*c-a*d)^2*x/b^4+1/2*(b*c-a*d)^2*x^2/b^3+1/3*d*(2*b*c-a*d)*x^3/b^2+_
1/4*d^2*x^4/b+a^2*(b*c-a*d)^2*log(a+b*x)/b^5
--R
@@ -5474,9 +5474,9 @@ r0:=-a*(b*c-a*d)^2*x/b^4+1/2*(b*c-a*d)^2*x^2/b^3+1/3*d*(2*b*c-a*d)*x^3/b^2+_
--R 5
--R 12b
--R Type: Expression(Integer)
---E 212
+--E 212
---S 213 of 1092
+--S 213 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5493,27 +5493,27 @@ a0:=integrate(t0,x)
--R 5
--R 12b
--R Type: Union(Expression(Integer),...)
---E 213
+--E 213
---S 214 of 1092
+--S 214 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 214
+--E 214
---S 215 of 1092
+--S 215 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 215
+--E 215
)clear all
---S 216 of 1092
+--S 216 of 1092
t0:=x*(c+d*x)^2/(a+b*x)
--R
--R
@@ -5522,9 +5522,9 @@ t0:=x*(c+d*x)^2/(a+b*x)
--R (1) --------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 216
+--E 216
---S 217 of 1092
+--S 217 of 1092
r0:=(b*c-a*d)^2*x/b^3+1/2*d*(2*b*c-a*d)*x^2/b^2+1/3*d^2*x^3/b-_
a*(b*c-a*d)^2*log(a+b*x)/b^4
--R
@@ -5539,9 +5539,9 @@ r0:=(b*c-a*d)^2*x/b^3+1/2*d*(2*b*c-a*d)*x^2/b^2+1/3*d^2*x^3/b-_
--R 4
--R 6b
--R Type: Expression(Integer)
---E 217
+--E 217
---S 218 of 1092
+--S 218 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5555,27 +5555,27 @@ a0:=integrate(t0,x)
--R 4
--R 6b
--R Type: Union(Expression(Integer),...)
---E 218
+--E 218
---S 219 of 1092
+--S 219 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 219
+--E 219
---S 220 of 1092
+--S 220 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 220
+--E 220
)clear all
---S 221 of 1092
+--S 221 of 1092
t0:=(c+d*x)^2/(a+b*x)
--R
--R
@@ -5584,9 +5584,9 @@ t0:=(c+d*x)^2/(a+b*x)
--R (1) ------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 221
+--E 221
---S 222 of 1092
+--S 222 of 1092
r0:=d*(b*c-a*d)*x/b^2+1/2*(c+d*x)^2/b+(b*c-a*d)^2*log(a+b*x)/b^3
--R
--R
@@ -5600,9 +5600,9 @@ r0:=d*(b*c-a*d)*x/b^2+1/2*(c+d*x)^2/b+(b*c-a*d)^2*log(a+b*x)/b^3
--R 3
--R 2b
--R Type: Expression(Integer)
---E 222
+--E 222
---S 223 of 1092
+--S 223 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5613,9 +5613,9 @@ a0:=integrate(t0,x)
--R 3
--R 2b
--R Type: Union(Expression(Integer),...)
---E 223
+--E 223
---S 224 of 1092
+--S 224 of 1092
m0:=a0-r0
--R
--R
@@ -5624,19 +5624,19 @@ m0:=a0-r0
--R (4) - --
--R 2b
--R Type: Expression(Integer)
---E 224
+--E 224
---S 225 of 1092
+--S 225 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 225
+--E 225
)clear all
---S 226 of 1092
+--S 226 of 1092
t0:=(c+d*x)^2/(x*(a+b*x))
--R
--R
@@ -5646,9 +5646,9 @@ t0:=(c+d*x)^2/(x*(a+b*x))
--R 2
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 226
+--E 226
---S 227 of 1092
+--S 227 of 1092
r0:=d^2*x/b+c^2*log(x)/a-(b*c-a*d)^2*log(a+b*x)/(a*b^2)
--R
--R
@@ -5658,9 +5658,9 @@ r0:=d^2*x/b+c^2*log(x)/a-(b*c-a*d)^2*log(a+b*x)/(a*b^2)
--R 2
--R a b
--R Type: Expression(Integer)
---E 227
+--E 227
---S 228 of 1092
+--S 228 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5670,27 +5670,27 @@ a0:=integrate(t0,x)
--R 2
--R a b
--R Type: Union(Expression(Integer),...)
---E 228
+--E 228
---S 229 of 1092
+--S 229 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 229
+--E 229
---S 230 of 1092
+--S 230 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 230
+--E 230
)clear all
---S 231 of 1092
+--S 231 of 1092
t0:=(c+d*x)^2/(x^2*(a+b*x))
--R
--R
@@ -5700,9 +5700,9 @@ t0:=(c+d*x)^2/(x^2*(a+b*x))
--R 3 2
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 231
+--E 231
---S 232 of 1092
+--S 232 of 1092
r0:=-c^2/(a*x)-c*(b*c-2*a*d)*log(x)/a^2+(b*c-a*d)^2*log(a+b*x)/(a^2*b)
--R
--R
@@ -5713,9 +5713,9 @@ r0:=-c^2/(a*x)-c*(b*c-2*a*d)*log(x)/a^2+(b*c-a*d)^2*log(a+b*x)/(a^2*b)
--R 2
--R a b x
--R Type: Expression(Integer)
---E 232
+--E 232
---S 233 of 1092
+--S 233 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5726,27 +5726,27 @@ a0:=integrate(t0,x)
--R 2
--R a b x
--R Type: Union(Expression(Integer),...)
---E 233
+--E 233
---S 234 of 1092
+--S 234 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 234
+--E 234
---S 235 of 1092
+--S 235 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 235
+--E 235
)clear all
---S 236 of 1092
+--S 236 of 1092
t0:=(c+d*x)^2/(x^3*(a+b*x))
--R
--R
@@ -5756,9 +5756,9 @@ t0:=(c+d*x)^2/(x^3*(a+b*x))
--R 4 3
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 236
+--E 236
---S 237 of 1092
+--S 237 of 1092
r0:=-1/2*c^2/(a*x^2)+c*(b*c-2*a*d)/(a^2*x)+(b*c-a*d)^2*log(x)/a^3-_
(b*c-a*d)^2*log(a+b*x)/a^3
--R
@@ -5773,9 +5773,9 @@ r0:=-1/2*c^2/(a*x^2)+c*(b*c-2*a*d)/(a^2*x)+(b*c-a*d)^2*log(x)/a^3-_
--R 3 2
--R 2a x
--R Type: Expression(Integer)
---E 237
+--E 237
---S 238 of 1092
+--S 238 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5789,27 +5789,27 @@ a0:=integrate(t0,x)
--R 3 2
--R 2a x
--R Type: Union(Expression(Integer),...)
---E 238
+--E 238
---S 239 of 1092
+--S 239 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 239
+--E 239
---S 240 of 1092
+--S 240 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 240
+--E 240
)clear all
---S 241 of 1092
+--S 241 of 1092
t0:=(c+d*x)^2/(x^4*(a+b*x))
--R
--R
@@ -5819,9 +5819,9 @@ t0:=(c+d*x)^2/(x^4*(a+b*x))
--R 5 4
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 241
+--E 241
---S 242 of 1092
+--S 242 of 1092
r0:=-1/3*c^2/(a*x^3)+1/2*c*(b*c-2*a*d)/(a^2*x^2)-(b*c-a*d)^2/(a^3*x)-_
b*(b*c-a*d)^2*log(x)/a^4+b*(b*c-a*d)^2*log(a+b*x)/a^4
--R
@@ -5839,9 +5839,9 @@ r0:=-1/3*c^2/(a*x^3)+1/2*c*(b*c-2*a*d)/(a^2*x^2)-(b*c-a*d)^2/(a^3*x)-_
--R 4 3
--R 6a x
--R Type: Expression(Integer)
---E 242
+--E 242
---S 243 of 1092
+--S 243 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5858,27 +5858,27 @@ a0:=integrate(t0,x)
--R 4 3
--R 6a x
--R Type: Union(Expression(Integer),...)
---E 243
+--E 243
---S 244 of 1092
+--S 244 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 244
+--E 244
---S 245 of 1092
+--S 245 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 245
+--E 245
)clear all
---S 246 of 1092
+--S 246 of 1092
t0:=(c+d*x)^2/(x^5*(a+b*x))
--R
--R
@@ -5888,9 +5888,9 @@ t0:=(c+d*x)^2/(x^5*(a+b*x))
--R 6 5
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 246
+--E 246
---S 247 of 1092
+--S 247 of 1092
r0:=-1/4*c^2/(a*x^4)+1/3*c*(b*c-2*a*d)/(a^2*x^3)-_
1/2*(b*c-a*d)^2/(a^3*x^2)+b*(b*c-a*d)^2/(a^4*x)+_
b^2*(b*c-a*d)^2*log(x)/a^5-b^2*(b*c-a*d)^2*log(a+b*x)/a^5
@@ -5912,9 +5912,9 @@ r0:=-1/4*c^2/(a*x^4)+1/3*c*(b*c-2*a*d)/(a^2*x^3)-_
--R 5 4
--R 12a x
--R Type: Expression(Integer)
---E 247
+--E 247
---S 248 of 1092
+--S 248 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -5934,27 +5934,27 @@ a0:=integrate(t0,x)
--R 5 4
--R 12a x
--R Type: Union(Expression(Integer),...)
---E 248
+--E 248
---S 249 of 1092
+--S 249 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 249
+--E 249
---S 250 of 1092
+--S 250 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 250
+--E 250
)clear all
---S 251 of 1092
+--S 251 of 1092
t0:=(c+d*x)^2/(x^6*(a+b*x))
--R
--R
@@ -5964,9 +5964,9 @@ t0:=(c+d*x)^2/(x^6*(a+b*x))
--R 7 6
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 251
+--E 251
---S 252 of 1092
+--S 252 of 1092
r0:=-1/5*c^2/(a*x^5)+1/4*c*(b*c-2*a*d)/(a^2*x^4)-_
1/3*(b*c-a*d)^2/(a^3*x^3)+1/2*b*(b*c-a*d)^2/(a^4*x^2)-_
b^2*(b*c-a*d)^2/(a^5*x)-b^3*(b*c-a*d)^2*log(x)/a^6+_
@@ -5992,9 +5992,9 @@ r0:=-1/5*c^2/(a*x^5)+1/4*c*(b*c-2*a*d)/(a^2*x^4)-_
--R 6 5
--R 60a x
--R Type: Expression(Integer)
---E 252
+--E 252
---S 253 of 1092
+--S 253 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6017,27 +6017,27 @@ a0:=integrate(t0,x)
--R 6 5
--R 60a x
--R Type: Union(Expression(Integer),...)
---E 253
+--E 253
---S 254 of 1092
+--S 254 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 254
+--E 254
---S 255 of 1092
+--S 255 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 255
+--E 255
)clear all
---S 256 of 1092
+--S 256 of 1092
t0:=x^m*(c+d*x)^3/(a+b*x)
--R
--R
@@ -6046,29 +6046,29 @@ t0:=x^m*(c+d*x)^3/(a+b*x)
--R (1) --------------------------------
--R b x + a
--R Type: Expression(Integer)
---E 256
+--E 256
---S 257 of 1092
+--S 257 of 1092
--r0:=d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^(1+m)/(b^3*(1+m))+_
-- d^2*(3*b*c-a*d)*x^(2+m)/(b^2*(2+m))+d^3*x^(3+m)/(b*(3+m))+_
-- (b*c-a*d)^3*x^(1+m)*hypergeometric(1,1+m,2+m,-b*x/a)/(a*b^3*(1+m))
---E 257
+--E 257
---S 258 of 1092
+--S 258 of 1092
--a0:=integrate(t0,x)
---E 258
+--E 258
---S 259 of 1092
+--S 259 of 1092
--m0:=a0-r0
---E 259
+--E 259
---S 260 of 1092
+--S 260 of 1092
--d0:=D(m0,x)
---E 260
+--E 260
)clear all
---S 261 of 1092
+--S 261 of 1092
t0:=x^4*(c+d*x)^3/(a+b*x)
--R
--R
@@ -6077,9 +6077,9 @@ t0:=x^4*(c+d*x)^3/(a+b*x)
--R (1) -------------------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 261
+--E 261
---S 262 of 1092
+--S 262 of 1092
r0:=-a^3*(b*c-a*d)^3*x/b^7+1/2*a^2*(b*c-a*d)^3*x^2/b^6-1/3*a*(b*c-a*d)^3*_
x^3/b^5+1/4*(b*c-a*d)^3*x^4/b^4+1/5*d*(3*b^2*c^2-_
3*a*b*c*d+a^2*d^2)*x^5/b^3+1/6*d^2*(3*b*c-a*d)*x^6/b^2+_
@@ -6111,9 +6111,9 @@ r0:=-a^3*(b*c-a*d)^3*x/b^7+1/2*a^2*(b*c-a*d)^3*x^2/b^6-1/3*a*(b*c-a*d)^3*_
--R 8
--R 420b
--R Type: Expression(Integer)
---E 262
+--E 262
---S 263 of 1092
+--S 263 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6142,27 +6142,27 @@ a0:=integrate(t0,x)
--R 8
--R 420b
--R Type: Union(Expression(Integer),...)
---E 263
+--E 263
---S 264 of 1092
+--S 264 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 264
+--E 264
---S 265 of 1092
+--S 265 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 265
+--E 265
)clear all
---S 266 of 1092
+--S 266 of 1092
t0:=x^3*(c+d*x)^3/(a+b*x)
--R
--R
@@ -6171,9 +6171,9 @@ t0:=x^3*(c+d*x)^3/(a+b*x)
--R (1) -------------------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 266
+--E 266
---S 267 of 1092
+--S 267 of 1092
r0:=a^2*(b*c-a*d)^3*x/b^6-1/2*a*(b*c-a*d)^3*x^2/b^5+1/3*(b*c-a*d)^3*x^3/b^4+_
1/4*d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^4/b^3+_
1/5*d^2*(3*b*c-a*d)*x^5/b^2+1/6*d^3*x^6/b-a^3*(b*c-a*d)^3*log(a+b*x)/b^7
@@ -6198,9 +6198,9 @@ r0:=a^2*(b*c-a*d)^3*x/b^6-1/2*a*(b*c-a*d)^3*x^2/b^5+1/3*(b*c-a*d)^3*x^3/b^4+_
--R 7
--R 60b
--R Type: Expression(Integer)
---E 267
+--E 267
---S 268 of 1092
+--S 268 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6223,27 +6223,27 @@ a0:=integrate(t0,x)
--R 7
--R 60b
--R Type: Union(Expression(Integer),...)
---E 268
+--E 268
---S 269 of 1092
+--S 269 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 269
+--E 269
---S 270 of 1092
+--S 270 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 270
+--E 270
)clear all
---S 271 of 1092
+--S 271 of 1092
t0:=x^2*(c+d*x)^3/(a+b*x)
--R
--R
@@ -6252,9 +6252,9 @@ t0:=x^2*(c+d*x)^3/(a+b*x)
--R (1) -------------------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 271
+--E 271
---S 272 of 1092
+--S 272 of 1092
r0:=-a*(b*c-a*d)^3*x/b^5+1/2*(b*c-a*d)^3*x^2/b^4+_
1/3*d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^3/b^3+_
1/4*d^2*(3*b*c-a*d)*x^4/b^2+1/5*d^3*x^5/b+a^2*(b*c-a*d)^3*log(a+b*x)/b^6
@@ -6276,9 +6276,9 @@ r0:=-a*(b*c-a*d)^3*x/b^5+1/2*(b*c-a*d)^3*x^2/b^4+_
--R 6
--R 60b
--R Type: Expression(Integer)
---E 272
+--E 272
---S 273 of 1092
+--S 273 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6298,27 +6298,27 @@ a0:=integrate(t0,x)
--R 6
--R 60b
--R Type: Union(Expression(Integer),...)
---E 273
+--E 273
---S 274 of 1092
+--S 274 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 274
+--E 274
---S 275 of 1092
+--S 275 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 275
+--E 275
)clear all
---S 276 of 1092
+--S 276 of 1092
t0:=x*(c+d*x)^3/(a+b*x)
--R
--R
@@ -6327,9 +6327,9 @@ t0:=x*(c+d*x)^3/(a+b*x)
--R (1) ------------------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 276
+--E 276
---S 277 of 1092
+--S 277 of 1092
r0:=(b*c-a*d)^3*x/b^4+1/2*d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^2/b^3+_
1/3*d^2*(3*b*c-a*d)*x^3/b^2+1/4*d^3*x^4/b-a*(b*c-a*d)^3*log(a+b*x)/b^5
--R
@@ -6347,9 +6347,9 @@ r0:=(b*c-a*d)^3*x/b^4+1/2*d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*x^2/b^3+_
--R 5
--R 12b
--R Type: Expression(Integer)
---E 277
+--E 277
---S 278 of 1092
+--S 278 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6366,27 +6366,27 @@ a0:=integrate(t0,x)
--R 5
--R 12b
--R Type: Union(Expression(Integer),...)
---E 278
+--E 278
---S 279 of 1092
+--S 279 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 279
+--E 279
---S 280 of 1092
+--S 280 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 280
+--E 280
)clear all
---S 281 of 1092
+--S 281 of 1092
t0:=(c+d*x)^3/(a+b*x)
--R
--R
@@ -6395,9 +6395,9 @@ t0:=(c+d*x)^3/(a+b*x)
--R (1) ----------------------------
--R b x + a
--R Type: Fraction(Polynomial(Integer))
---E 281
+--E 281
---S 282 of 1092
+--S 282 of 1092
r0:=d*(b*c-a*d)^2*x/b^3+1/2*(b*c-a*d)*(c+d*x)^2/b^2+_
1/3*(c+d*x)^3/b+(b*c-a*d)^3*log(a+b*x)/b^4
--R
@@ -6415,9 +6415,9 @@ r0:=d*(b*c-a*d)^2*x/b^3+1/2*(b*c-a*d)*(c+d*x)^2/b^2+_
--R 4
--R 6b
--R Type: Expression(Integer)
---E 282
+--E 282
---S 283 of 1092
+--S 283 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6431,9 +6431,9 @@ a0:=integrate(t0,x)
--R 4
--R 6b
--R Type: Union(Expression(Integer),...)
---E 283
+--E 283
---S 284 of 1092
+--S 284 of 1092
m0:=a0-r0
--R
--R
@@ -6443,19 +6443,19 @@ m0:=a0-r0
--R 2
--R 6b
--R Type: Expression(Integer)
---E 284
+--E 284
---S 285 of 1092
+--S 285 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 285
+--E 285
)clear all
---S 286 of 1092
+--S 286 of 1092
t0:=(c+d*x)^3/(x*(a+b*x))
--R
--R
@@ -6465,9 +6465,9 @@ t0:=(c+d*x)^3/(x*(a+b*x))
--R 2
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 286
+--E 286
---S 287 of 1092
+--S 287 of 1092
r0:=d^2*(3*b*c-a*d)*x/b^2+1/2*d^3*x^2/b+_
c^3*log(x)/a-(b*c-a*d)^3*log(a+b*x)/(a*b^3)
--R
@@ -6482,9 +6482,9 @@ r0:=d^2*(3*b*c-a*d)*x/b^2+1/2*d^3*x^2/b+_
--R 3
--R 2a b
--R Type: Expression(Integer)
---E 287
+--E 287
---S 288 of 1092
+--S 288 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6498,27 +6498,27 @@ a0:=integrate(t0,x)
--R 3
--R 2a b
--R Type: Union(Expression(Integer),...)
---E 288
+--E 288
---S 289 of 1092
+--S 289 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 289
+--E 289
---S 290 of 1092
+--S 290 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 290
+--E 290
)clear all
---S 291 of 1092
+--S 291 of 1092
t0:=(c+d*x)^3/(x^2*(a+b*x))
--R
--R
@@ -6528,9 +6528,9 @@ t0:=(c+d*x)^3/(x^2*(a+b*x))
--R 3 2
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 291
+--E 291
---S 292 of 1092
+--S 292 of 1092
r0:=-c^3/(a*x)+d^3*x/b-c^2*(b*c-3*a*d)*log(x)/a^2+_
(b*c-a*d)^3*log(a+b*x)/(a^2*b^2)
--R
@@ -6545,9 +6545,9 @@ r0:=-c^3/(a*x)+d^3*x/b-c^2*(b*c-3*a*d)*log(x)/a^2+_
--R 2 2
--R a b x
--R Type: Expression(Integer)
---E 292
+--E 292
---S 293 of 1092
+--S 293 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6561,27 +6561,27 @@ a0:=integrate(t0,x)
--R 2 2
--R a b x
--R Type: Union(Expression(Integer),...)
---E 293
+--E 293
---S 294 of 1092
+--S 294 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 294
+--E 294
---S 295 of 1092
+--S 295 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 295
+--E 295
)clear all
---S 296 of 1092
+--S 296 of 1092
t0:=(c+d*x)^3/(x^3*(a+b*x))
--R
--R
@@ -6591,9 +6591,9 @@ t0:=(c+d*x)^3/(x^3*(a+b*x))
--R 4 3
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 296
+--E 296
---S 297 of 1092
+--S 297 of 1092
r0:=-1/2*c^3/(a*x^2)+c^2*(b*c-3*a*d)/(a^2*x)+_
c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)*log(x)/a^3-(b*c-a*d)^3*log(a+b*x)/(a^3*b)
--R
@@ -6608,9 +6608,9 @@ r0:=-1/2*c^3/(a*x^2)+c^2*(b*c-3*a*d)/(a^2*x)+_
--R 3 2
--R 2a b x
--R Type: Expression(Integer)
---E 297
+--E 297
---S 298 of 1092
+--S 298 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6624,27 +6624,27 @@ a0:=integrate(t0,x)
--R 3 2
--R 2a b x
--R Type: Union(Expression(Integer),...)
---E 298
+--E 298
---S 299 of 1092
+--S 299 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 299
+--E 299
---S 300 of 1092
+--S 300 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 300
+--E 300
)clear all
---S 301 of 1092
+--S 301 of 1092
t0:=(c+d*x)^3/(x^4*(a+b*x))
--R
--R
@@ -6654,9 +6654,9 @@ t0:=(c+d*x)^3/(x^4*(a+b*x))
--R 5 4
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 301
+--E 301
---S 302 of 1092
+--S 302 of 1092
r0:=-1/3*c^3/(a*x^3)+1/2*c^2*(b*c-3*a*d)/(a^2*x^2)-_
c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)/(a^3*x)-_
(b*c-a*d)^3*log(x)/a^4+(b*c-a*d)^3*log(a+b*x)/a^4
@@ -6675,9 +6675,9 @@ r0:=-1/3*c^3/(a*x^3)+1/2*c^2*(b*c-3*a*d)/(a^2*x^2)-_
--R 4 3
--R 6a x
--R Type: Expression(Integer)
---E 302
+--E 302
---S 303 of 1092
+--S 303 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6694,27 +6694,27 @@ a0:=integrate(t0,x)
--R 4 3
--R 6a x
--R Type: Union(Expression(Integer),...)
---E 303
+--E 303
---S 304 of 1092
+--S 304 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 304
+--E 304
---S 305 of 1092
+--S 305 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 305
+--E 305
)clear all
---S 306 of 1092
+--S 306 of 1092
t0:=(c+d*x)^3/(x^5*(a+b*x))
--R
--R
@@ -6724,9 +6724,9 @@ t0:=(c+d*x)^3/(x^5*(a+b*x))
--R 6 5
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 306
+--E 306
---S 307 of 1092
+--S 307 of 1092
r0:=-1/4*c^3/(a*x^4)+1/3*c^2*(b*c-3*a*d)/(a^2*x^3)-_
1/2*c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)/(a^3*x^2)+_
(b*c-a*d)^3/(a^4*x)+b*(b*c-a*d)^3*log(x)/a^5-b*(b*c-a*d)^3*log(a+b*x)/a^5
@@ -6748,9 +6748,9 @@ r0:=-1/4*c^3/(a*x^4)+1/3*c^2*(b*c-3*a*d)/(a^2*x^3)-_
--R 5 4
--R 12a x
--R Type: Expression(Integer)
---E 307
+--E 307
---S 308 of 1092
+--S 308 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6770,27 +6770,27 @@ a0:=integrate(t0,x)
--R 5 4
--R 12a x
--R Type: Union(Expression(Integer),...)
---E 308
+--E 308
---S 309 of 1092
+--S 309 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 309
+--E 309
---S 310 of 1092
+--S 310 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 310
+--E 310
)clear all
---S 311 of 1092
+--S 311 of 1092
t0:=(c+d*x)^3/(x^6*(a+b*x))
--R
--R
@@ -6800,9 +6800,9 @@ t0:=(c+d*x)^3/(x^6*(a+b*x))
--R 7 6
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 311
+--E 311
---S 312 of 1092
+--S 312 of 1092
r0:=-1/5*c^3/(a*x^5)+1/4*c^2*(b*c-3*a*d)/(a^2*x^4)-_
1/3*c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)/(a^3*x^3)+_
1/2*(b*c-a*d)^3/(a^4*x^2)-b*(b*c-a*d)^3/(a^5*x)-_
@@ -6828,9 +6828,9 @@ r0:=-1/5*c^3/(a*x^5)+1/4*c^2*(b*c-3*a*d)/(a^2*x^4)-_
--R 6 5
--R 60a x
--R Type: Expression(Integer)
---E 312
+--E 312
---S 313 of 1092
+--S 313 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6853,27 +6853,27 @@ a0:=integrate(t0,x)
--R 6 5
--R 60a x
--R Type: Union(Expression(Integer),...)
---E 313
+--E 313
---S 314 of 1092
+--S 314 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 314
+--E 314
---S 315 of 1092
+--S 315 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 315
+--E 315
)clear all
---S 316 of 1092
+--S 316 of 1092
t0:=(c+d*x)^3/(x^7*(a+b*x))
--R
--R
@@ -6883,9 +6883,9 @@ t0:=(c+d*x)^3/(x^7*(a+b*x))
--R 8 7
--R b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 316
+--E 316
---S 317 of 1092
+--S 317 of 1092
r0:=-1/6*c^3/(a*x^6)+1/5*c^2*(b*c-3*a*d)/(a^2*x^5)-_
1/4*c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)/(a^3*x^4)+_
1/3*(b*c-a*d)^3/(a^4*x^3)-1/2*b*(b*c-a*d)^3/(a^5*x^2)+_
@@ -6915,9 +6915,9 @@ r0:=-1/6*c^3/(a*x^6)+1/5*c^2*(b*c-3*a*d)/(a^2*x^5)-_
--R 7 6
--R 60a x
--R Type: Expression(Integer)
---E 317
+--E 317
---S 318 of 1092
+--S 318 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -6943,27 +6943,27 @@ a0:=integrate(t0,x)
--R 7 6
--R 60a x
--R Type: Union(Expression(Integer),...)
---E 318
+--E 318
---S 319 of 1092
+--S 319 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 319
+--E 319
---S 320 of 1092
+--S 320 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 320
+--E 320
)clear all
---S 321 of 1092
+--S 321 of 1092
t0:=x^m/((a+b*x)*(c+d*x))
--R
--R
@@ -6973,28 +6973,28 @@ t0:=x^m/((a+b*x)*(c+d*x))
--R 2
--R b d x + (a d + b c)x + a c
--R Type: Expression(Integer)
---E 321
+--E 321
---S 322 of 1092
+--S 322 of 1092
--r0:=b*x^(1+m)*hypergeometric(1,1+m,2+m,-b*x/a)/(a*(b*c-a*d)*(1+m))-_
-- d*x^(1+m)*hypergeometric(1,1+m,2+m,-d*x/c)/(c*(b*c-a*d)*(1+m))
---E 322
+--E 322
---S 323 of 1092
+--S 323 of 1092
--a0:=integrate(t0,x)
---E 323
+--E 323
---S 324 of 1092
+--S 324 of 1092
--m0:=a0-r0
---E 324
+--E 324
---S 325 of 1092
+--S 325 of 1092
--d0:=D(m0,x)
---E 325
+--E 325
)clear all
---S 326 of 1092
+--S 326 of 1092
t0:=x^5/((a+b*x)*(c+d*x))
--R
--R
@@ -7004,9 +7004,9 @@ t0:=x^5/((a+b*x)*(c+d*x))
--R 2
--R b d x + (a d + b c)x + a c
--R Type: Fraction(Polynomial(Integer))
---E 326
+--E 326
---S 327 of 1092
+--S 327 of 1092
r0:=-(b*c+a*d)*(b^2*c^2+a^2*d^2)*x/(b^4*d^4)+_
1/2*(b^2*c^2+a*b*c*d+a^2*d^2)*x^2/(b^3*d^3)-_
1/3*(b*c+a*d)*x^3/(b^2*d^2)+1/4*x^4/(b*d)-_
@@ -7023,9 +7023,9 @@ r0:=-(b*c+a*d)*(b^2*c^2+a^2*d^2)*x/(b^4*d^4)+_
--R 5 6 6 5
--R 12a b d - 12b c d
--R Type: Expression(Integer)
---E 327
+--E 327
---S 328 of 1092
+--S 328 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7039,27 +7039,27 @@ a0:=integrate(t0,x)
--R 5 6 6 5
--R 12a b d - 12b c d
--R Type: Union(Expression(Integer),...)
---E 328
+--E 328
---S 329 of 1092
+--S 329 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 329
+--E 329
---S 330 of 1092
+--S 330 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 330
+--E 330
)clear all
---S 331 of 1092
+--S 331 of 1092
t0:=x^4/((a+b*x)*(c+d*x))
--R
--R
@@ -7069,9 +7069,9 @@ t0:=x^4/((a+b*x)*(c+d*x))
--R 2
--R b d x + (a d + b c)x + a c
--R Type: Fraction(Polynomial(Integer))
---E 331
+--E 331
---S 332 of 1092
+--S 332 of 1092
r0:=(b^2*c^2+a*b*c*d+a^2*d^2)*x/(b^3*d^3)-_
1/2*(b*c+a*d)*x^2/(b^2*d^2)+1/3*x^3/(b*d)+_
a^4*log(a+b*x)/(b^4*(b*c-a*d))-c^4*log(c+d*x)/(d^4*(b*c-a*d))
@@ -7087,9 +7087,9 @@ r0:=(b^2*c^2+a*b*c*d+a^2*d^2)*x/(b^3*d^3)-_
--R 4 5 5 4
--R 6a b d - 6b c d
--R Type: Expression(Integer)
---E 332
+--E 332
---S 333 of 1092
+--S 333 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7103,27 +7103,27 @@ a0:=integrate(t0,x)
--R 4 5 5 4
--R 6a b d - 6b c d
--R Type: Union(Expression(Integer),...)
---E 333
+--E 333
---S 334 of 1092
+--S 334 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 334
+--E 334
---S 335 of 1092
+--S 335 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 335
+--E 335
)clear all
---S 336 of 1092
+--S 336 of 1092
t0:=x^3/((a+b*x)*(c+d*x))
--R
--R
@@ -7133,9 +7133,9 @@ t0:=x^3/((a+b*x)*(c+d*x))
--R 2
--R b d x + (a d + b c)x + a c
--R Type: Fraction(Polynomial(Integer))
---E 336
+--E 336
---S 337 of 1092
+--S 337 of 1092
r0:=-(b*c+a*d)*x/(b^2*d^2)+1/2*x^2/(b*d)-a^3*log(a+b*x)/(b^3*(b*c-a*d))+_
c^3*log(c+d*x)/(d^3*(b*c-a*d))
--R
@@ -7150,9 +7150,9 @@ r0:=-(b*c+a*d)*x/(b^2*d^2)+1/2*x^2/(b*d)-a^3*log(a+b*x)/(b^3*(b*c-a*d))+_
--R 3 4 4 3
--R 2a b d - 2b c d
--R Type: Expression(Integer)
---E 337
+--E 337
---S 338 of 1092
+--S 338 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7166,27 +7166,27 @@ a0:=integrate(t0,x)
--R 3 4 4 3
--R 2a b d - 2b c d
--R Type: Union(Expression(Integer),...)
---E 338
+--E 338
---S 339 of 1092
+--S 339 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 339
+--E 339
---S 340 of 1092
+--S 340 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 340
+--E 340
)clear all
---S 341 of 1092
+--S 341 of 1092
t0:=x^2/((a+b*x)*(c+d*x))
--R
--R
@@ -7196,9 +7196,9 @@ t0:=x^2/((a+b*x)*(c+d*x))
--R 2
--R b d x + (a d + b c)x + a c
--R Type: Fraction(Polynomial(Integer))
---E 341
+--E 341
---S 342 of 1092
+--S 342 of 1092
r0:=x/(b*d)+a^2*log(a+b*x)/(b^2*(b*c-a*d))-c^2*log(c+d*x)/(d^2*(b*c-a*d))
--R
--R
@@ -7208,9 +7208,9 @@ r0:=x/(b*d)+a^2*log(a+b*x)/(b^2*(b*c-a*d))-c^2*log(c+d*x)/(d^2*(b*c-a*d))
--R 2 3 3 2
--R a b d - b c d
--R Type: Expression(Integer)
---E 342
+--E 342
---S 343 of 1092
+--S 343 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7220,27 +7220,27 @@ a0:=integrate(t0,x)
--R 2 3 3 2
--R a b d - b c d
--R Type: Union(Expression(Integer),...)
---E 343
+--E 343
---S 344 of 1092
+--S 344 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 344
+--E 344
---S 345 of 1092
+--S 345 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 345
+--E 345
)clear all
---S 346 of 1092
+--S 346 of 1092
t0:=x/((a+b*x)*(c+d*x))
--R
--R
@@ -7249,9 +7249,9 @@ t0:=x/((a+b*x)*(c+d*x))
--R 2
--R b d x + (a d + b c)x + a c
--R Type: Fraction(Polynomial(Integer))
---E 346
+--E 346
---S 347 of 1092
+--S 347 of 1092
r0:=-a*log(a+b*x)/(b*(b*c-a*d))+c*log(c+d*x)/(d*(b*c-a*d))
--R
--R
@@ -7260,9 +7260,9 @@ r0:=-a*log(a+b*x)/(b*(b*c-a*d))+c*log(c+d*x)/(d*(b*c-a*d))
--R 2 2
--R a b d - b c d
--R Type: Expression(Integer)
---E 347
+--E 347
---S 348 of 1092
+--S 348 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7271,27 +7271,27 @@ a0:=integrate(t0,x)
--R 2 2
--R a b d - b c d
--R Type: Union(Expression(Integer),...)
---E 348
+--E 348
---S 349 of 1092
+--S 349 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 349
+--E 349
---S 350 of 1092
+--S 350 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 350
+--E 350
)clear all
---S 351 of 1092
+--S 351 of 1092
t0:=1/((a+b*x)*(c+d*x))
--R
--R
@@ -7300,9 +7300,9 @@ t0:=1/((a+b*x)*(c+d*x))
--R 2
--R b d x + (a d + b c)x + a c
--R Type: Fraction(Polynomial(Integer))
---E 351
+--E 351
---S 352 of 1092
+--S 352 of 1092
r0:=log(a+b*x)/(b*c-a*d)-log(c+d*x)/(b*c-a*d)
--R
--R
@@ -7310,9 +7310,9 @@ r0:=log(a+b*x)/(b*c-a*d)-log(c+d*x)/(b*c-a*d)
--R (2) ---------------------------
--R a d - b c
--R Type: Expression(Integer)
---E 352
+--E 352
---S 353 of 1092
+--S 353 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7320,27 +7320,27 @@ a0:=integrate(t0,x)
--R (3) ---------------------------
--R a d - b c
--R Type: Union(Expression(Integer),...)
---E 353
+--E 353
---S 354 of 1092
+--S 354 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 354
+--E 354
---S 355 of 1092
+--S 355 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 355
+--E 355
)clear all
---S 356 of 1092
+--S 356 of 1092
t0:=1/(x*(a+b*x)*(c+d*x))
--R
--R
@@ -7349,9 +7349,9 @@ t0:=1/(x*(a+b*x)*(c+d*x))
--R 3 2
--R b d x + (a d + b c)x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 356
+--E 356
---S 357 of 1092
+--S 357 of 1092
r0:=log(x)/(a*c)-b*log(a+b*x)/(a*(b*c-a*d))+d*log(c+d*x)/(c*(b*c-a*d))
--R
--R
@@ -7360,9 +7360,9 @@ r0:=log(x)/(a*c)-b*log(a+b*x)/(a*(b*c-a*d))+d*log(c+d*x)/(c*(b*c-a*d))
--R 2 2
--R a c d - a b c
--R Type: Expression(Integer)
---E 357
+--E 357
---S 358 of 1092
+--S 358 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7371,27 +7371,27 @@ a0:=integrate(t0,x)
--R 2 2
--R a c d - a b c
--R Type: Union(Expression(Integer),...)
---E 358
+--E 358
---S 359 of 1092
+--S 359 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 359
+--E 359
---S 360 of 1092
+--S 360 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 360
+--E 360
)clear all
---S 361 of 1092
+--S 361 of 1092
t0:=1/(x^2*(a+b*x)*(c+d*x))
--R
--R
@@ -7400,9 +7400,9 @@ t0:=1/(x^2*(a+b*x)*(c+d*x))
--R 4 3 2
--R b d x + (a d + b c)x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 361
+--E 361
---S 362 of 1092
+--S 362 of 1092
r0:=(-1)/(a*c*x)-(b*c+a*d)*log(x)/(a^2*c^2)+_
b^2*log(a+b*x)/(a^2*(b*c-a*d))-d^2*log(c+d*x)/(c^2*(b*c-a*d))
--R
@@ -7417,9 +7417,9 @@ r0:=(-1)/(a*c*x)-(b*c+a*d)*log(x)/(a^2*c^2)+_
--R 3 2 2 3
--R (a c d - a b c )x
--R Type: Expression(Integer)
---E 362
+--E 362
---S 363 of 1092
+--S 363 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7433,27 +7433,27 @@ a0:=integrate(t0,x)
--R 3 2 2 3
--R (a c d - a b c )x
--R Type: Union(Expression(Integer),...)
---E 363
+--E 363
---S 364 of 1092
+--S 364 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 364
+--E 364
---S 365 of 1092
+--S 365 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 365
+--E 365
)clear all
---S 366 of 1092
+--S 366 of 1092
t0:=1/(x^3*(a+b*x)*(c+d*x))
--R
--R
@@ -7462,9 +7462,9 @@ t0:=1/(x^3*(a+b*x)*(c+d*x))
--R 5 4 3
--R b d x + (a d + b c)x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 366
+--E 366
---S 367 of 1092
+--S 367 of 1092
r0:=(-1/2)/(a*c*x^2)+(b*c+a*d)/(a^2*c^2*x)+(b^2*c^2+a*b*c*d+a^2*d^2)*_
log(x)/(a^3*c^3)-b^3*log(a+b*x)/(a^3*(b*c-a*d))+_
d^3*log(c+d*x)/(c^3*(b*c-a*d))
@@ -7480,9 +7480,9 @@ r0:=(-1/2)/(a*c*x^2)+(b*c+a*d)/(a^2*c^2*x)+(b^2*c^2+a*b*c*d+a^2*d^2)*_
--R 4 3 3 4 2
--R (2a c d - 2a b c )x
--R Type: Expression(Integer)
---E 367
+--E 367
---S 368 of 1092
+--S 368 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7496,27 +7496,27 @@ a0:=integrate(t0,x)
--R 4 3 3 4 2
--R (2a c d - 2a b c )x
--R Type: Union(Expression(Integer),...)
---E 368
+--E 368
---S 369 of 1092
+--S 369 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 369
+--E 369
---S 370 of 1092
+--S 370 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 370
+--E 370
)clear all
---S 371 of 1092
+--S 371 of 1092
t0:=1/(x^4*(a+b*x)*(c+d*x))
--R
--R
@@ -7525,9 +7525,9 @@ t0:=1/(x^4*(a+b*x)*(c+d*x))
--R 6 5 4
--R b d x + (a d + b c)x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 371
+--E 371
---S 372 of 1092
+--S 372 of 1092
r0:=(-1/3)/(a*c*x^3)+1/2*(b*c+a*d)/(a^2*c^2*x^2)+_
(-b^2*c^2-a*b*c*d-a^2*d^2)/(a^3*c^3*x)-(b*c+a*d)*(b^2*c^2+a^2*d^2)*_
log(x)/(a^4*c^4)+b^4*log(a+b*x)/(a^4*(b*c-a*d))-_
@@ -7544,9 +7544,9 @@ r0:=(-1/3)/(a*c*x^3)+1/2*(b*c+a*d)/(a^2*c^2*x^2)+_
--R 5 4 4 5 3
--R (6a c d - 6a b c )x
--R Type: Expression(Integer)
---E 372
+--E 372
---S 373 of 1092
+--S 373 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7560,27 +7560,27 @@ a0:=integrate(t0,x)
--R 5 4 4 5 3
--R (6a c d - 6a b c )x
--R Type: Union(Expression(Integer),...)
---E 373
+--E 373
---S 374 of 1092
+--S 374 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 374
+--E 374
---S 375 of 1092
+--S 375 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 375
+--E 375
)clear all
---S 376 of 1092
+--S 376 of 1092
t0:=x^m/((a+b*x)*(c+d*x)^2)
--R
--R
@@ -7590,30 +7590,30 @@ t0:=x^m/((a+b*x)*(c+d*x)^2)
--R 2 3 2 2 2 2
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c
--R Type: Expression(Integer)
---E 376
+--E 376
---S 377 of 1092
+--S 377 of 1092
--r0:=-d*x^(1+m)/(c*(b*c-a*d)*(c+d*x))+b^2*x^(1+m)*_
-- hypergeometric(1,1+m,2+m,-b*x/a)/(a*(b*c-a*d)^2*(1+m))-b*d*x^(1+m)*_
-- hypergeometric(1,1+m,2+m,-d*x/c)/(c*(b*c-a*d)^2*(1+m))+d*m*x^(1+m)*_
-- hypergeometric(1,1+m,2+m,-d*x/c)/(c^2*(b*c-a*d)*(1+m))
---E 377
+--E 377
---S 378 of 1092
+--S 378 of 1092
--a0:=integrate(t0,x)
---E 378
+--E 378
---S 379 of 1092
+--S 379 of 1092
--m0:=a0-r0
---E 379
+--E 379
---S 380 of 1092
+--S 380 of 1092
--d0:=D(m0,x)
---E 380
+--E 380
)clear all
---S 381 of 1092
+--S 381 of 1092
t0:=x^m/((1-a*x)^2*(1+a*x))
--R
--R
@@ -7623,30 +7623,30 @@ t0:=x^m/((1-a*x)^2*(1+a*x))
--R 3 3 2 2
--R a x - a x - a x + 1
--R Type: Expression(Integer)
---E 381
+--E 381
---S 382 of 1092
+--S 382 of 1092
--r0:=1/2*x^(1+m)/(1-a*x)+1/4*x^(1+m)*_
-- hypergeometric(1,1+m,2+m,-a*x)/(1+m)+1/4*x^(1+m)*_
-- hypergeometric(1,1+m,2+m,a*x)/(1+m)-1/2*m*x^(1+m)*_
-- hypergeometric(1,1+m,2+m,a*x)/(1+m)
---E 382
+--E 382
---S 383 of 1092
+--S 383 of 1092
--a0:=integrate(t0,x)
---E 383
+--E 383
---S 384 of 1092
+--S 384 of 1092
--m0:=a0-r0
---E 384
+--E 384
---S 385 of 1092
+--S 385 of 1092
--d0:=D(m0,x)
---E 385
+--E 385
)clear all
---S 386 of 1092
+--S 386 of 1092
t0:=x^5/((a+b*x)*(c+d*x)^2)
--R
--R
@@ -7656,9 +7656,9 @@ t0:=x^5/((a+b*x)*(c+d*x)^2)
--R 2 3 2 2 2 2
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 386
+--E 386
---S 387 of 1092
+--S 387 of 1092
r0:=(3*b^2*c^2+2*a*b*c*d+a^2*d^2)*x/(b^3*d^4)-_
1/2*(2*b*c+a*d)*x^2/(b^2*d^3)+1/3*x^3/(b*d^2)-_
c^5/(d^5*(b*c-a*d)*(c+d*x))-a^5*log(a+b*x)/(b^4*(b*c-a*d)^2)-_
@@ -7684,9 +7684,9 @@ r0:=(3*b^2*c^2+2*a*b*c*d+a^2*d^2)*x/(b^3*d^4)-_
--R 2 4 8 5 7 6 2 6 2 4 7 5 2 6 6 3 5
--R (6a b d - 12a b c d + 6b c d )x + 6a b c d - 12a b c d + 6b c d
--R Type: Expression(Integer)
---E 387
+--E 387
---S 388 of 1092
+--S 388 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7709,27 +7709,27 @@ a0:=integrate(t0,x)
--R 2 4 8 5 7 6 2 6 2 4 7 5 2 6 6 3 5
--R (6a b d - 12a b c d + 6b c d )x + 6a b c d - 12a b c d + 6b c d
--R Type: Union(Expression(Integer),...)
---E 388
+--E 388
---S 389 of 1092
+--S 389 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 389
+--E 389
---S 390 of 1092
+--S 390 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 390
+--E 390
)clear all
---S 391 of 1092
+--S 391 of 1092
t0:=x^4/((a+b*x)*(c+d*x)^2)
--R
--R
@@ -7739,9 +7739,9 @@ t0:=x^4/((a+b*x)*(c+d*x)^2)
--R 2 3 2 2 2 2
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 391
+--E 391
---S 392 of 1092
+--S 392 of 1092
r0:=-(2*b*c+a*d)*x/(b^2*d^3)+1/2*x^2/(b*d^2)+_
c^4/(d^4*(b*c-a*d)*(c+d*x))+a^4*log(a+b*x)/(b^3*(b*c-a*d)^2)+_
c^3*(3*b*c-4*a*d)*log(c+d*x)/(d^4*(b*c-a*d)^2)
@@ -7763,9 +7763,9 @@ r0:=-(2*b*c+a*d)*x/(b^2*d^3)+1/2*x^2/(b*d^2)+_
--R 2 3 7 4 6 5 2 5 2 3 6 4 2 5 5 3 4
--R (2a b d - 4a b c d + 2b c d )x + 2a b c d - 4a b c d + 2b c d
--R Type: Expression(Integer)
---E 392
+--E 392
---S 393 of 1092
+--S 393 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7785,27 +7785,27 @@ a0:=integrate(t0,x)
--R 2 3 7 4 6 5 2 5 2 3 6 4 2 5 5 3 4
--R (2a b d - 4a b c d + 2b c d )x + 2a b c d - 4a b c d + 2b c d
--R Type: Union(Expression(Integer),...)
---E 393
+--E 393
---S 394 of 1092
+--S 394 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 394
+--E 394
---S 395 of 1092
+--S 395 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 395
+--E 395
)clear all
---S 396 of 1092
+--S 396 of 1092
t0:=x^3/((a+b*x)*(c+d*x)^2)
--R
--R
@@ -7815,9 +7815,9 @@ t0:=x^3/((a+b*x)*(c+d*x)^2)
--R 2 3 2 2 2 2
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 396
+--E 396
---S 397 of 1092
+--S 397 of 1092
r0:=x/(b*d^2)-c^3/(d^3*(b*c-a*d)*(c+d*x))-_
a^3*log(a+b*x)/(b^2*(b*c-a*d)^2)-c^2*(2*b*c-3*a*d)*log(c+d*x)/_
(d^3*(b*c-a*d)^2)
@@ -7836,9 +7836,9 @@ r0:=x/(b*d^2)-c^3/(d^3*(b*c-a*d)*(c+d*x))-_
--R 2 2 6 3 5 4 2 4 2 2 5 3 2 4 4 3 3
--R (a b d - 2a b c d + b c d )x + a b c d - 2a b c d + b c d
--R Type: Expression(Integer)
---E 397
+--E 397
---S 398 of 1092
+--S 398 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7855,27 +7855,27 @@ a0:=integrate(t0,x)
--R 2 2 6 3 5 4 2 4 2 2 5 3 2 4 4 3 3
--R (a b d - 2a b c d + b c d )x + a b c d - 2a b c d + b c d
--R Type: Union(Expression(Integer),...)
---E 398
+--E 398
---S 399 of 1092
+--S 399 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 399
+--E 399
---S 400 of 1092
+--S 400 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 400
+--E 400
)clear all
---S 401 of 1092
+--S 401 of 1092
t0:=x^2/((a+b*x)*(c+d*x)^2)
--R
--R
@@ -7885,9 +7885,9 @@ t0:=x^2/((a+b*x)*(c+d*x)^2)
--R 2 3 2 2 2 2
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 401
+--E 401
---S 402 of 1092
+--S 402 of 1092
r0:=c^2/(d^2*(b*c-a*d)*(c+d*x))+a^2*log(a+b*x)/(b*(b*c-a*d)^2)+_
c*(b*c-2*a*d)*log(c+d*x)/(d^2*(b*c-a*d)^2)
--R
@@ -7902,9 +7902,9 @@ r0:=c^2/(d^2*(b*c-a*d)*(c+d*x))+a^2*log(a+b*x)/(b*(b*c-a*d)^2)+_
--R 2 5 2 4 3 2 3 2 4 2 2 3 3 3 2
--R (a b d - 2a b c d + b c d )x + a b c d - 2a b c d + b c d
--R Type: Expression(Integer)
---E 402
+--E 402
---S 403 of 1092
+--S 403 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7918,27 +7918,27 @@ a0:=integrate(t0,x)
--R 2 5 2 4 3 2 3 2 4 2 2 3 3 3 2
--R (a b d - 2a b c d + b c d )x + a b c d - 2a b c d + b c d
--R Type: Union(Expression(Integer),...)
---E 403
+--E 403
---S 404 of 1092
+--S 404 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 404
+--E 404
---S 405 of 1092
+--S 405 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 405
+--E 405
)clear all
---S 406 of 1092
+--S 406 of 1092
t0:=x/((a+b*x)*(c+d*x)^2)
--R
--R
@@ -7947,9 +7947,9 @@ t0:=x/((a+b*x)*(c+d*x)^2)
--R 2 3 2 2 2 2
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 406
+--E 406
---S 407 of 1092
+--S 407 of 1092
r0:=-c/(d*(b*c-a*d)*(c+d*x))-a*log(a+b*x)/(b*c-a*d)^2+a*log(c+d*x)/(b*c-a*d)^2
--R
--R
@@ -7960,9 +7960,9 @@ r0:=-c/(d*(b*c-a*d)*(c+d*x))-a*log(a+b*x)/(b*c-a*d)^2+a*log(c+d*x)/(b*c-a*d)^2
--R 2 4 3 2 2 2 2 3 2 2 2 3
--R (a d - 2a b c d + b c d )x + a c d - 2a b c d + b c d
--R Type: Expression(Integer)
---E 407
+--E 407
---S 408 of 1092
+--S 408 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -7973,27 +7973,27 @@ a0:=integrate(t0,x)
--R 2 4 3 2 2 2 2 3 2 2 2 3
--R (a d - 2a b c d + b c d )x + a c d - 2a b c d + b c d
--R Type: Union(Expression(Integer),...)
---E 408
+--E 408
---S 409 of 1092
+--S 409 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 409
+--E 409
---S 410 of 1092
+--S 410 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 410
+--E 410
)clear all
---S 411 of 1092
+--S 411 of 1092
t0:=1/((a+b*x)*(c+d*x)^2)
--R
--R
@@ -8002,9 +8002,9 @@ t0:=1/((a+b*x)*(c+d*x)^2)
--R 2 3 2 2 2 2
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 411
+--E 411
---S 412 of 1092
+--S 412 of 1092
r0:=1/((b*c-a*d)*(c+d*x))+b*log(a+b*x)/(b*c-a*d)^2-b*log(c+d*x)/(b*c-a*d)^2
--R
--R
@@ -8013,9 +8013,9 @@ r0:=1/((b*c-a*d)*(c+d*x))+b*log(a+b*x)/(b*c-a*d)^2-b*log(c+d*x)/(b*c-a*d)^2
--R 2 3 2 2 2 2 2 2 2 3
--R (a d - 2a b c d + b c d)x + a c d - 2a b c d + b c
--R Type: Expression(Integer)
---E 412
+--E 412
---S 413 of 1092
+--S 413 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8024,27 +8024,27 @@ a0:=integrate(t0,x)
--R 2 3 2 2 2 2 2 2 2 3
--R (a d - 2a b c d + b c d)x + a c d - 2a b c d + b c
--R Type: Union(Expression(Integer),...)
---E 413
+--E 413
---S 414 of 1092
+--S 414 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 414
+--E 414
---S 415 of 1092
+--S 415 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 415
+--E 415
)clear all
---S 416 of 1092
+--S 416 of 1092
t0:=1/(x*(a+b*x)*(c+d*x)^2)
--R
--R
@@ -8053,9 +8053,9 @@ t0:=1/(x*(a+b*x)*(c+d*x)^2)
--R 2 4 2 3 2 2 2
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 416
+--E 416
---S 417 of 1092
+--S 417 of 1092
r0:=-d/(c*(b*c-a*d)*(c+d*x))+log(x)/(a*c^2)-_
b^2*log(a+b*x)/(a*(b*c-a*d)^2)+d*(2*b*c-a*d)*log(c+d*x)/(c^2*(b*c-a*d)^2)
--R
@@ -8076,9 +8076,9 @@ r0:=-d/(c*(b*c-a*d)*(c+d*x))+log(x)/(a*c^2)-_
--R 3 2 3 2 3 2 2 4 3 3 2 2 4 2 5
--R (a c d - 2a b c d + a b c d)x + a c d - 2a b c d + a b c
--R Type: Expression(Integer)
---E 417
+--E 417
---S 418 of 1092
+--S 418 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8098,27 +8098,27 @@ a0:=integrate(t0,x)
--R 3 2 3 2 3 2 2 4 3 3 2 2 4 2 5
--R (a c d - 2a b c d + a b c d)x + a c d - 2a b c d + a b c
--R Type: Union(Expression(Integer),...)
---E 418
+--E 418
---S 419 of 1092
+--S 419 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 419
+--E 419
---S 420 of 1092
+--S 420 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 420
+--E 420
)clear all
---S 421 of 1092
+--S 421 of 1092
t0:=1/(x^2*(a+b*x)*(c+d*x)^2)
--R
--R
@@ -8127,9 +8127,9 @@ t0:=1/(x^2*(a+b*x)*(c+d*x)^2)
--R 2 5 2 4 2 3 2 2
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 421
+--E 421
---S 422 of 1092
+--S 422 of 1092
r0:=(-1)/(a*c^2*x)+d^2/(c^2*(b*c-a*d)*(c+d*x))-_
(b*c+2*a*d)*log(x)/(a^2*c^3)+b^3*log(a+b*x)/(a^2*(b*c-a*d)^2)-_
d^2*(3*b*c-2*a*d)*log(c+d*x)/(c^3*(b*c-a*d)^2)
@@ -8151,9 +8151,9 @@ r0:=(-1)/(a*c^2*x)+d^2/(c^2*(b*c-a*d)*(c+d*x))-_
--R 4 3 3 3 4 2 2 2 5 2 4 4 2 3 5 2 2 6
--R (a c d - 2a b c d + a b c d)x + (a c d - 2a b c d + a b c )x
--R Type: Expression(Integer)
---E 422
+--E 422
---S 423 of 1092
+--S 423 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8173,27 +8173,27 @@ a0:=integrate(t0,x)
--R 4 3 3 3 4 2 2 2 5 2 4 4 2 3 5 2 2 6
--R (a c d - 2a b c d + a b c d)x + (a c d - 2a b c d + a b c )x
--R Type: Union(Expression(Integer),...)
---E 423
+--E 423
---S 424 of 1092
+--S 424 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 424
+--E 424
---S 425 of 1092
+--S 425 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 425
+--E 425
)clear all
---S 426 of 1092
+--S 426 of 1092
t0:=1/(x^3*(a+b*x)*(c+d*x)^2)
--R
--R
@@ -8202,9 +8202,9 @@ t0:=1/(x^3*(a+b*x)*(c+d*x)^2)
--R 2 6 2 5 2 4 2 3
--R b d x + (a d + 2b c d)x + (2a c d + b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 426
+--E 426
---S 427 of 1092
+--S 427 of 1092
r0:=(-1/2)/(a*c^2*x^2)+(b*c+2*a*d)/(a^2*c^3*x)-_
d^3/(c^3*(b*c-a*d)*(c+d*x))+(b^2*c^2+2*a*b*c*d+3*a^2*d^2)*log(x)/_
(a^3*c^4)-b^4*log(a+b*x)/(a^3*(b*c-a*d)^2)+d^3*(4*b*c-3*a*d)*_
@@ -8230,9 +8230,9 @@ r0:=(-1/2)/(a*c^2*x^2)+(b*c+2*a*d)/(a^2*c^3*x)-_
--R 5 4 3 4 5 2 3 2 6 3 5 5 2 4 6 3 2 7 2
--R (2a c d - 4a b c d + 2a b c d)x + (2a c d - 4a b c d + 2a b c )x
--R Type: Expression(Integer)
---E 427
+--E 427
---S 428 of 1092
+--S 428 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8255,27 +8255,27 @@ a0:=integrate(t0,x)
--R 5 4 3 4 5 2 3 2 6 3 5 5 2 4 6 3 2 7 2
--R (2a c d - 4a b c d + 2a b c d)x + (2a c d - 4a b c d + 2a b c )x
--R Type: Union(Expression(Integer),...)
---E 428
+--E 428
---S 429 of 1092
+--S 429 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 429
+--E 429
---S 430 of 1092
+--S 430 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 430
+--E 430
)clear all
---S 431 of 1092
+--S 431 of 1092
t0:=x^m/((a+b*x)*(c+d*x)^3)
--R
--R
@@ -8286,9 +8286,9 @@ t0:=x^m/((a+b*x)*(c+d*x)^3)
--R 3 4 3 2 3 2 2 2 2 3 3
--R b d x + (a d + 3b c d )x + (3a c d + 3b c d)x + (3a c d + b c )x + a c
--R Type: Expression(Integer)
---E 431
+--E 431
---S 432 of 1092
+--S 432 of 1092
--r0:=-1/2*d*x^(1+m)/(c*(b*c-a*d)*(c+d*x)^2)-_
-- b*d*x^(1+m)/(c*(b*c-a*d)^2*(c+d*x))-_
-- 1/2*d*(1-m)*x^(1+m)/(c^2*(b*c-a*d)*(c+d*x))+_
@@ -8298,23 +8298,23 @@ t0:=x^m/((a+b*x)*(c+d*x)^3)
-- hypergeometric(1,1+m,2+m,-d*x/c)/(c^2*(b*c-a*d)^2*(1+m))+_
-- 1/2*d*(1-m)*m*x^(1+m)*_
-- hypergeometric(1,1+m,2+m,-d*x/c)/(c^3*(b*c-a*d)*(1+m))
---E 432
+--E 432
---S 433 of 1092
+--S 433 of 1092
--a0:=integrate(t0,x)
---E 433
+--E 433
---S 434 of 1092
+--S 434 of 1092
--m0:=a0-r0
---E 434
+--E 434
---S 435 of 1092
+--S 435 of 1092
--d0:=D(m0,x)
---E 435
+--E 435
)clear all
---S 436 of 1092
+--S 436 of 1092
t0:=x^6/((a+b*x)*(c+d*x)^3)
--R
--R
@@ -8325,9 +8325,9 @@ t0:=x^6/((a+b*x)*(c+d*x)^3)
--R 3 4 3 2 3 2 2 2 2 3 3
--R b d x + (a d + 3b c d )x + (3a c d + 3b c d)x + (3a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 436
+--E 436
---S 437 of 1092
+--S 437 of 1092
r0:=(6*b^2*c^2+3*a*b*c*d+a^2*d^2)*x/(b^3*d^5)-_
1/2*(3*b*c+a*d)*x^2/(b^2*d^4)+1/3*x^3/(b*d^3)+_
1/2*c^6/(d^6*(b*c-a*d)*(c+d*x)^2)-_
@@ -8378,9 +8378,9 @@ r0:=(6*b^2*c^2+3*a*b*c*d+a^2*d^2)*x/(b^3*d^5)-_
--R 2 5 3 8 6 4 7 7 5 6
--R - 18a b c d + 18a b c d - 6b c d
--R Type: Expression(Integer)
---E 437
+--E 437
---S 438 of 1092
+--S 438 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8426,27 +8426,27 @@ a0:=integrate(t0,x)
--R 2 5 3 8 6 4 7 7 5 6
--R - 18a b c d + 18a b c d - 6b c d
--R Type: Union(Expression(Integer),...)
---E 438
+--E 438
---S 439 of 1092
+--S 439 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 439
+--E 439
---S 440 of 1092
+--S 440 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 440
+--E 440
)clear all
---S 441 of 1092
+--S 441 of 1092
t0:=x^5/((a+b*x)*(c+d*x)^3)
--R
--R
@@ -8457,9 +8457,9 @@ t0:=x^5/((a+b*x)*(c+d*x)^3)
--R 3 4 3 2 3 2 2 2 2 3 3
--R b d x + (a d + 3b c d )x + (3a c d + 3b c d)x + (3a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 441
+--E 441
---S 442 of 1092
+--S 442 of 1092
r0:=-(3*b*c+a*d)*x/(b^2*d^4)+1/2*x^2/(b*d^3)-_
1/2*c^5/(d^5*(b*c-a*d)*(c+d*x)^2)+c^4*(4*b*c-5*a*d)/_
(d^5*(b*c-a*d)^2*(c+d*x))-a^5*log(a+b*x)/(b^3*(b*c-a*d)^3)+_
@@ -8505,9 +8505,9 @@ r0:=-(3*b*c+a*d)*x/(b^2*d^4)+1/2*x^2/(b*d^3)-_
--R 5 4 6 6 5 5
--R 6a b c d - 2b c d
--R Type: Expression(Integer)
---E 442
+--E 442
---S 443 of 1092
+--S 443 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8550,27 +8550,27 @@ a0:=integrate(t0,x)
--R 5 4 6 6 5 5
--R 6a b c d - 2b c d
--R Type: Union(Expression(Integer),...)
---E 443
+--E 443
---S 444 of 1092
+--S 444 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 444
+--E 444
---S 445 of 1092
+--S 445 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 445
+--E 445
)clear all
---S 446 of 1092
+--S 446 of 1092
t0:=x^4/((a+b*x)*(c+d*x)^3)
--R
--R
@@ -8581,9 +8581,9 @@ t0:=x^4/((a+b*x)*(c+d*x)^3)
--R 3 4 3 2 3 2 2 2 2 3 3
--R b d x + (a d + 3b c d )x + (3a c d + 3b c d)x + (3a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 446
+--E 446
---S 447 of 1092
+--S 447 of 1092
r0:=x/(b*d^3)+1/2*c^4/(d^4*(b*c-a*d)*(c+d*x)^2)-_
c^3*(3*b*c-4*a*d)/(d^4*(b*c-a*d)^2*(c+d*x))+_
a^4*log(a+b*x)/(b^2*(b*c-a*d)^3)-_
@@ -8623,9 +8623,9 @@ r0:=x/(b*d^3)+1/2*c^4/(d^4*(b*c-a*d)*(c+d*x)^2)-_
--R 4 4 5 5 5 4
--R 6a b c d - 2b c d
--R Type: Expression(Integer)
---E 447
+--E 447
---S 448 of 1092
+--S 448 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8662,27 +8662,27 @@ a0:=integrate(t0,x)
--R 4 4 5 5 5 4
--R 6a b c d - 2b c d
--R Type: Union(Expression(Integer),...)
---E 448
+--E 448
---S 449 of 1092
+--S 449 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 449
+--E 449
---S 450 of 1092
+--S 450 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 450
+--E 450
)clear all
---S 451 of 1092
+--S 451 of 1092
t0:=x^3/((a+b*x)*(c+d*x)^3)
--R
--R
@@ -8693,9 +8693,9 @@ t0:=x^3/((a+b*x)*(c+d*x)^3)
--R 3 4 3 2 3 2 2 2 2 3 3
--R b d x + (a d + 3b c d )x + (3a c d + 3b c d)x + (3a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 451
+--E 451
---S 452 of 1092
+--S 452 of 1092
r0:=-1/2*c^3/(d^3*(b*c-a*d)*(c+d*x)^2)+c^2*(2*b*c-3*a*d)/_
(d^3*(b*c-a*d)^2*(c+d*x))-a^3*log(a+b*x)/(b*(b*c-a*d)^3)+_
c*(b^2*c^2-3*a*b*c*d+3*a^2*d^2)*log(c+d*x)/(d^3*(b*c-a*d)^3)
@@ -8725,9 +8725,9 @@ r0:=-1/2*c^3/(d^3*(b*c-a*d)*(c+d*x)^2)+c^2*(2*b*c-3*a*d)/_
--R 3 4 4 4 5 3
--R 6a b c d - 2b c d
--R Type: Expression(Integer)
---E 452
+--E 452
---S 453 of 1092
+--S 453 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8755,27 +8755,27 @@ a0:=integrate(t0,x)
--R 3 4 4 4 5 3
--R 6a b c d - 2b c d
--R Type: Union(Expression(Integer),...)
---E 453
+--E 453
---S 454 of 1092
+--S 454 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 454
+--E 454
---S 455 of 1092
+--S 455 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 455
+--E 455
)clear all
---S 456 of 1092
+--S 456 of 1092
t0:=x^2/((a+b*x)*(c+d*x)^3)
--R
--R
@@ -8786,9 +8786,9 @@ t0:=x^2/((a+b*x)*(c+d*x)^3)
--R 3 4 3 2 3 2 2 2 2 3 3
--R b d x + (a d + 3b c d )x + (3a c d + 3b c d)x + (3a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 456
+--E 456
---S 457 of 1092
+--S 457 of 1092
r0:=1/2*c^2/(d^2*(b*c-a*d)*(c+d*x)^2)-c*(b*c-2*a*d)/_
(d^2*(b*c-a*d)^2*(c+d*x))+a^2*log(a+b*x)/(b*c-a*d)^3-_
a^2*log(c+d*x)/(b*c-a*d)^3
@@ -8813,9 +8813,9 @@ r0:=1/2*c^2/(d^2*(b*c-a*d)*(c+d*x)^2)-c*(b*c-2*a*d)/_
--R 2 4 3 3 5 2
--R 6a b c d - 2b c d
--R Type: Expression(Integer)
---E 457
+--E 457
---S 458 of 1092
+--S 458 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8838,27 +8838,27 @@ a0:=integrate(t0,x)
--R 2 4 3 3 5 2
--R 6a b c d - 2b c d
--R Type: Union(Expression(Integer),...)
---E 458
+--E 458
---S 459 of 1092
+--S 459 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 459
+--E 459
---S 460 of 1092
+--S 460 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 460
+--E 460
)clear all
---S 461 of 1092
+--S 461 of 1092
t0:=x/((a+b*x)*(c+d*x)^3)
--R
--R
@@ -8868,9 +8868,9 @@ t0:=x/((a+b*x)*(c+d*x)^3)
--R 3 4 3 2 3 2 2 2 2 3 3
--R b d x + (a d + 3b c d )x + (3a c d + 3b c d)x + (3a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 461
+--E 461
---S 462 of 1092
+--S 462 of 1092
r0:=-1/2*c/(d*(b*c-a*d)*(c+d*x)^2)-a/((b*c-a*d)^2*(c+d*x))-_
a*b*log(a+b*x)/(b*c-a*d)^3+a*b*log(c+d*x)/(b*c-a*d)^3
--R
@@ -8894,9 +8894,9 @@ r0:=-1/2*c/(d*(b*c-a*d)*(c+d*x)^2)-a/((b*c-a*d)^2*(c+d*x))-_
--R 2 4 2 3 5
--R 6a b c d - 2b c d
--R Type: Expression(Integer)
---E 462
+--E 462
---S 463 of 1092
+--S 463 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -8919,27 +8919,27 @@ a0:=integrate(t0,x)
--R 2 4 2 3 5
--R 6a b c d - 2b c d
--R Type: Union(Expression(Integer),...)
---E 463
+--E 463
---S 464 of 1092
+--S 464 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 464
+--E 464
---S 465 of 1092
+--S 465 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 465
+--E 465
)clear all
---S 466 of 1092
+--S 466 of 1092
t0:=1/((a+b*x)*(c+d*x)^3)
--R
--R
@@ -8949,9 +8949,9 @@ t0:=1/((a+b*x)*(c+d*x)^3)
--R 3 4 3 2 3 2 2 2 2 3 3
--R b d x + (a d + 3b c d )x + (3a c d + 3b c d)x + (3a c d + b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 466
+--E 466
---S 467 of 1092
+--S 467 of 1092
r0:=1/2/((b*c-a*d)*(c+d*x)^2)+b/((b*c-a*d)^2*(c+d*x))+_
b^2*log(a+b*x)/(b*c-a*d)^3-b^2*log(c+d*x)/(b*c-a*d)^3
--R
@@ -8975,9 +8975,9 @@ r0:=1/2/((b*c-a*d)*(c+d*x)^2)+b/((b*c-a*d)^2*(c+d*x))+_
--R 2 4 3 5
--R 6a b c d - 2b c
--R Type: Expression(Integer)
---E 467
+--E 467
---S 468 of 1092
+--S 468 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9000,27 +9000,27 @@ a0:=integrate(t0,x)
--R 2 4 3 5
--R 6a b c d - 2b c
--R Type: Union(Expression(Integer),...)
---E 468
+--E 468
---S 469 of 1092
+--S 469 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 469
+--E 469
---S 470 of 1092
+--S 470 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 470
+--E 470
)clear all
---S 471 of 1092
+--S 471 of 1092
t0:=1/(x*(a+b*x)*(c+d*x)^3)
--R
--R
@@ -9033,9 +9033,9 @@ t0:=1/(x*(a+b*x)*(c+d*x)^3)
--R 3
--R a c x
--R Type: Fraction(Polynomial(Integer))
---E 471
+--E 471
---S 472 of 1092
+--S 472 of 1092
r0:=-1/2*d/(c*(b*c-a*d)*(c+d*x)^2)-d*(2*b*c-a*d)/_
(c^2*(b*c-a*d)^2*(c+d*x))+log(x)/(a*c^3)-_
b^3*log(a+b*x)/(a*(b*c-a*d)^3)+d*(3*b^2*c^2-3*a*b*c*d+a^2*d^2)*_
@@ -9077,9 +9077,9 @@ r0:=-1/2*d/(c*(b*c-a*d)*(c+d*x)^2)-d*(2*b*c-a*d)/_
--R 2 2 7 3 8
--R 6a b c d - 2a b c
--R Type: Expression(Integer)
---E 472
+--E 472
---S 473 of 1092
+--S 473 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9118,27 +9118,27 @@ a0:=integrate(t0,x)
--R 2 2 7 3 8
--R 6a b c d - 2a b c
--R Type: Union(Expression(Integer),...)
---E 473
+--E 473
---S 474 of 1092
+--S 474 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 474
+--E 474
---S 475 of 1092
+--S 475 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 475
+--E 475
)clear all
---S 476 of 1092
+--S 476 of 1092
t0:=1/(x^2*(a+b*x)*(c+d*x)^3)
--R
--R
@@ -9151,9 +9151,9 @@ t0:=1/(x^2*(a+b*x)*(c+d*x)^3)
--R 3 2
--R a c x
--R Type: Fraction(Polynomial(Integer))
---E 476
+--E 476
---S 477 of 1092
+--S 477 of 1092
r0:=(-1)/(a*c^3*x)+1/2*d^2/(c^2*(b*c-a*d)*(c+d*x)^2)+_
d^2*(3*b*c-2*a*d)/(c^3*(b*c-a*d)^2*(c+d*x))-(b*c+3*a*d)*_
log(x)/(a^2*c^4)+b^4*log(a+b*x)/(a^2*(b*c-a*d)^3)-_
@@ -9204,9 +9204,9 @@ r0:=(-1)/(a*c^3*x)+1/2*d^2/(c^2*(b*c-a*d)*(c+d*x)^2)+_
--R 5 6 3 4 7 2 3 2 8 2 3 9
--R (2a c d - 6a b c d + 6a b c d - 2a b c )x
--R Type: Expression(Integer)
---E 477
+--E 477
---S 478 of 1092
+--S 478 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9254,27 +9254,27 @@ a0:=integrate(t0,x)
--R 5 6 3 4 7 2 3 2 8 2 3 9
--R (2a c d - 6a b c d + 6a b c d - 2a b c )x
--R Type: Union(Expression(Integer),...)
---E 478
+--E 478
---S 479 of 1092
+--S 479 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 479
+--E 479
---S 480 of 1092
+--S 480 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 480
+--E 480
)clear all
---S 481 of 1092
+--S 481 of 1092
t0:=1/(x^3*(a+b*x)*(c+d*x)^3)
--R
--R
@@ -9287,9 +9287,9 @@ t0:=1/(x^3*(a+b*x)*(c+d*x)^3)
--R 3 3
--R a c x
--R Type: Fraction(Polynomial(Integer))
---E 481
+--E 481
---S 482 of 1092
+--S 482 of 1092
r0:=(-1/2)/(a*c^3*x^2)+(b*c+3*a*d)/(a^2*c^4*x)-1/2*d^3/(c^3*(b*c-a*d)*_
(c+d*x)^2)-d^3*(4*b*c-3*a*d)/(c^4*(b*c-a*d)^2*(c+d*x))+_
(b^2*c^2+3*a*b*c*d+6*a^2*d^2)*log(x)/(a^3*c^5)-b^5*_
@@ -9344,9 +9344,9 @@ r0:=(-1/2)/(a*c^3*x^2)+(b*c+3*a*d)/(a^2*c^4*x)-1/2*d^3/(c^3*(b*c-a*d)*_
--R 6 7 3 5 8 2 4 2 9 3 3 10 2
--R (2a c d - 6a b c d + 6a b c d - 2a b c )x
--R Type: Expression(Integer)
---E 482
+--E 482
---S 483 of 1092
+--S 483 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9397,27 +9397,27 @@ a0:=integrate(t0,x)
--R 6 7 3 5 8 2 4 2 9 3 3 10 2
--R (2a c d - 6a b c d + 6a b c d - 2a b c )x
--R Type: Union(Expression(Integer),...)
---E 483
+--E 483
---S 484 of 1092
+--S 484 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 484
+--E 484
---S 485 of 1092
+--S 485 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 485
+--E 485
)clear all
---S 486 of 1092
+--S 486 of 1092
t0:=x^4*(c+d*x)^2/(a+b*x)^2
--R
--R
@@ -9427,9 +9427,9 @@ t0:=x^4*(c+d*x)^2/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 486
+--E 486
---S 487 of 1092
+--S 487 of 1092
r0:=a^2*(3*b*c-5*a*d)*(b*c-a*d)*x/b^6-a*(b*c-2*a*d)*(b*c-a*d)*x^2/b^5+_
1/3*(b*c-3*a*d)*(b*c-a*d)*x^3/b^4+1/2*d*(b*c-a*d)*x^4/b^3+_
1/5*d^2*x^5/b^2-a^4*(b*c-a*d)^2/(b^7*(a+b*x))-_
@@ -9460,9 +9460,9 @@ r0:=a^2*(3*b*c-5*a*d)*(b*c-a*d)*x/b^6-a*(b*c-2*a*d)*(b*c-a*d)*x^2/b^5+_
--R 8 7
--R 30b x + 30a b
--R Type: Expression(Integer)
---E 487
+--E 487
---S 488 of 1092
+--S 488 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9490,27 +9490,27 @@ a0:=integrate(t0,x)
--R 8 7
--R 30b x + 30a b
--R Type: Union(Expression(Integer),...)
---E 488
+--E 488
---S 489 of 1092
+--S 489 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 489
+--E 489
---S 490 of 1092
+--S 490 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 490
+--E 490
)clear all
---S 491 of 1092
+--S 491 of 1092
t0:=x^3*(c+d*x)^2/(a+b*x)^2
--R
--R
@@ -9520,9 +9520,9 @@ t0:=x^3*(c+d*x)^2/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 491
+--E 491
---S 492 of 1092
+--S 492 of 1092
r0:=-2*a*(b*c-2*a*d)*(b*c-a*d)*x/b^5+1/2*(b*c-3*a*d)*(b*c-a*d)*x^2/b^4+_
2/3*d*(b*c-a*d)*x^3/b^3+1/4*d^2*x^4/b^2+_
a^3*(b*c-a*d)^2/(b^6*(a+b*x))+a^2*(3*b*c-5*a*d)*(b*c-a*d)*log(a+b*x)/b^6
@@ -9546,9 +9546,9 @@ r0:=-2*a*(b*c-2*a*d)*(b*c-a*d)*x/b^5+1/2*(b*c-3*a*d)*(b*c-a*d)*x^2/b^4+_
--R 7 6
--R 12b x + 12a b
--R Type: Expression(Integer)
---E 492
+--E 492
---S 493 of 1092
+--S 493 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9570,27 +9570,27 @@ a0:=integrate(t0,x)
--R 7 6
--R 12b x + 12a b
--R Type: Union(Expression(Integer),...)
---E 493
+--E 493
---S 494 of 1092
+--S 494 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 494
+--E 494
---S 495 of 1092
+--S 495 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 495
+--E 495
)clear all
---S 496 of 1092
+--S 496 of 1092
t0:=x^2*(c+d*x)^2/(a+b*x)^2
--R
--R
@@ -9600,9 +9600,9 @@ t0:=x^2*(c+d*x)^2/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 496
+--E 496
---S 497 of 1092
+--S 497 of 1092
r0:=(b*c-3*a*d)*(b*c-a*d)*x/b^4+d*(b*c-a*d)*x^2/b^3+1/3*d^2*x^3/b^2-_
a^2*(b*c-a*d)^2/(b^5*(a+b*x))-2*a*(b*c-2*a*d)*(b*c-a*d)*log(a+b*x)/b^5
--R
@@ -9622,9 +9622,9 @@ r0:=(b*c-3*a*d)*(b*c-a*d)*x/b^4+d*(b*c-a*d)*x^2/b^3+1/3*d^2*x^3/b^2-_
--R 6 5
--R 3b x + 3a b
--R Type: Expression(Integer)
---E 497
+--E 497
---S 498 of 1092
+--S 498 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9643,27 +9643,27 @@ a0:=integrate(t0,x)
--R 6 5
--R 3b x + 3a b
--R Type: Union(Expression(Integer),...)
---E 498
+--E 498
---S 499 of 1092
+--S 499 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 499
+--E 499
---S 500 of 1092
+--S 500 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 500
+--E 500
)clear all
---S 501 of 1092
+--S 501 of 1092
t0:=x*(c+d*x)^2/(a+b*x)^2
--R
--R
@@ -9673,9 +9673,9 @@ t0:=x*(c+d*x)^2/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 501
+--E 501
---S 502 of 1092
+--S 502 of 1092
r0:=2*d*(b*c-a*d)*x/b^3+1/2*d^2*x^2/b^2+a*(b*c-a*d)^2/(b^4*(a+b*x))+_
(b*c-3*a*d)*(b*c-a*d)*log(a+b*x)/b^4
--R
@@ -9693,9 +9693,9 @@ r0:=2*d*(b*c-a*d)*x/b^3+1/2*d^2*x^2/b^2+a*(b*c-a*d)^2/(b^4*(a+b*x))+_
--R 5 4
--R 2b x + 2a b
--R Type: Expression(Integer)
---E 502
+--E 502
---S 503 of 1092
+--S 503 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9712,27 +9712,27 @@ a0:=integrate(t0,x)
--R 5 4
--R 2b x + 2a b
--R Type: Union(Expression(Integer),...)
---E 503
+--E 503
---S 504 of 1092
+--S 504 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 504
+--E 504
---S 505 of 1092
+--S 505 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 505
+--E 505
)clear all
---S 506 of 1092
+--S 506 of 1092
t0:=(c+d*x)^2/(a+b*x)^2
--R
--R
@@ -9742,9 +9742,9 @@ t0:=(c+d*x)^2/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 506
+--E 506
---S 507 of 1092
+--S 507 of 1092
r0:=d^2*x/b^2-(b*c-a*d)^2/(b^3*(a+b*x))+2*d*(b*c-a*d)*log(a+b*x)/b^3
--R
--R
@@ -9758,9 +9758,9 @@ r0:=d^2*x/b^2-(b*c-a*d)^2/(b^3*(a+b*x))+2*d*(b*c-a*d)*log(a+b*x)/b^3
--R 4 3
--R b x + a b
--R Type: Expression(Integer)
---E 507
+--E 507
---S 508 of 1092
+--S 508 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9774,27 +9774,27 @@ a0:=integrate(t0,x)
--R 4 3
--R b x + a b
--R Type: Union(Expression(Integer),...)
---E 508
+--E 508
---S 509 of 1092
+--S 509 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 509
+--E 509
---S 510 of 1092
+--S 510 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 510
+--E 510
)clear all
---S 511 of 1092
+--S 511 of 1092
t0:=(c+d*x)^2/(x*(a+b*x)^2)
--R
--R
@@ -9804,9 +9804,9 @@ t0:=(c+d*x)^2/(x*(a+b*x)^2)
--R 2 3 2 2
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 511
+--E 511
---S 512 of 1092
+--S 512 of 1092
r0:=(b*c-a*d)^2/(a*b^2*(a+b*x))+c^2*log(x)/a^2-(c^2/a^2-d^2/b^2)*log(a+b*x)
--R
--R
@@ -9820,9 +9820,9 @@ r0:=(b*c-a*d)^2/(a*b^2*(a+b*x))+c^2*log(x)/a^2-(c^2/a^2-d^2/b^2)*log(a+b*x)
--R 2 3 3 2
--R a b x + a b
--R Type: Expression(Integer)
---E 512
+--E 512
---S 513 of 1092
+--S 513 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9836,27 +9836,27 @@ a0:=integrate(t0,x)
--R 2 3 3 2
--R a b x + a b
--R Type: Union(Expression(Integer),...)
---E 513
+--E 513
---S 514 of 1092
+--S 514 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 514
+--E 514
---S 515 of 1092
+--S 515 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 515
+--E 515
)clear all
---S 516 of 1092
+--S 516 of 1092
t0:=(c+d*x)^2/(x^2*(a+b*x)^2)
--R
--R
@@ -9866,9 +9866,9 @@ t0:=(c+d*x)^2/(x^2*(a+b*x)^2)
--R 2 4 3 2 2
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 516
+--E 516
---S 517 of 1092
+--S 517 of 1092
r0:=-c^2/(a^2*x)-(b*c-a*d)^2/(a^2*b*(a+b*x))-2*c*(b*c-a*d)*_
log(x)/a^3+2*c*(b*c-a*d)*log(a+b*x)/a^3
--R
@@ -9886,9 +9886,9 @@ r0:=-c^2/(a^2*x)-(b*c-a*d)^2/(a^2*b*(a+b*x))-2*c*(b*c-a*d)*_
--R 3 2 2 4
--R a b x + a b x
--R Type: Expression(Integer)
---E 517
+--E 517
---S 518 of 1092
+--S 518 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9905,27 +9905,27 @@ a0:=integrate(t0,x)
--R 3 2 2 4
--R a b x + a b x
--R Type: Union(Expression(Integer),...)
---E 518
+--E 518
---S 519 of 1092
+--S 519 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 519
+--E 519
---S 520 of 1092
+--S 520 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 520
+--E 520
)clear all
---S 521 of 1092
+--S 521 of 1092
t0:=(c+d*x)^2/(x^3*(a+b*x)^2)
--R
--R
@@ -9935,9 +9935,9 @@ t0:=(c+d*x)^2/(x^3*(a+b*x)^2)
--R 2 5 4 2 3
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 521
+--E 521
---S 522 of 1092
+--S 522 of 1092
r0:=-1/2*c^2/(a^2*x^2)+2*c*(b*c-a*d)/(a^3*x)+(b*c-a*d)^2/(a^3*(a+b*x))+_
(b*c-a*d)*(3*b*c-a*d)*log(x)/a^4-(b*c-a*d)*(3*b*c-a*d)*log(a+b*x)/a^4
--R
@@ -9957,9 +9957,9 @@ r0:=-1/2*c^2/(a^2*x^2)+2*c*(b*c-a*d)/(a^3*x)+(b*c-a*d)^2/(a^3*(a+b*x))+_
--R 4 3 5 2
--R 2a b x + 2a x
--R Type: Expression(Integer)
---E 522
+--E 522
---S 523 of 1092
+--S 523 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -9978,27 +9978,27 @@ a0:=integrate(t0,x)
--R 4 3 5 2
--R 2a b x + 2a x
--R Type: Union(Expression(Integer),...)
---E 523
+--E 523
---S 524 of 1092
+--S 524 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 524
+--E 524
---S 525 of 1092
+--S 525 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 525
+--E 525
)clear all
---S 526 of 1092
+--S 526 of 1092
t0:=(c+d*x)^2/(x^4*(a+b*x)^2)
--R
--R
@@ -10008,9 +10008,9 @@ t0:=(c+d*x)^2/(x^4*(a+b*x)^2)
--R 2 6 5 2 4
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 526
+--E 526
---S 527 of 1092
+--S 527 of 1092
r0:=-1/3*c^2/(a^2*x^3)+c*(b*c-a*d)/(a^3*x^2)-(b*c-a*d)*(3*b*c-a*d)/_
(a^4*x)-b*(b*c-a*d)^2/(a^4*(a+b*x))-2*b*(b*c-a*d)*(2*b*c-a*d)*_
log(x)/a^5+2*b*(b*c-a*d)*(2*b*c-a*d)*log(a+b*x)/a^5
@@ -10039,9 +10039,9 @@ r0:=-1/3*c^2/(a^2*x^3)+c*(b*c-a*d)/(a^3*x^2)-(b*c-a*d)*(3*b*c-a*d)/_
--R 5 4 6 3
--R 3a b x + 3a x
--R Type: Expression(Integer)
---E 527
+--E 527
---S 528 of 1092
+--S 528 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10068,27 +10068,27 @@ a0:=integrate(t0,x)
--R 5 4 6 3
--R 3a b x + 3a x
--R Type: Union(Expression(Integer),...)
---E 528
+--E 528
---S 529 of 1092
+--S 529 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 529
+--E 529
---S 530 of 1092
+--S 530 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 530
+--E 530
)clear all
---S 531 of 1092
+--S 531 of 1092
t0:=(c+d*x)^2/(x^5*(a+b*x)^2)
--R
--R
@@ -10098,9 +10098,9 @@ t0:=(c+d*x)^2/(x^5*(a+b*x)^2)
--R 2 7 6 2 5
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 531
+--E 531
---S 532 of 1092
+--S 532 of 1092
r0:=-1/4*c^2/(a^2*x^4)+2/3*c*(b*c-a*d)/(a^3*x^3)-1/2*(b*c-a*d)*_
(3*b*c-a*d)/(a^4*x^2)+2*b*(b*c-a*d)*(2*b*c-a*d)/(a^5*x)+_
b^2*(b*c-a*d)^2/(a^5*(a+b*x))+b^2*(5*b*c-3*a*d)*(b*c-a*d)*_
@@ -10133,9 +10133,9 @@ r0:=-1/4*c^2/(a^2*x^4)+2/3*c*(b*c-a*d)/(a^3*x^3)-1/2*(b*c-a*d)*_
--R 6 5 7 4
--R 12a b x + 12a x
--R Type: Expression(Integer)
---E 532
+--E 532
---S 533 of 1092
+--S 533 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10165,27 +10165,27 @@ a0:=integrate(t0,x)
--R 6 5 7 4
--R 12a b x + 12a x
--R Type: Union(Expression(Integer),...)
---E 533
+--E 533
---S 534 of 1092
+--S 534 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 534
+--E 534
---S 535 of 1092
+--S 535 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 535
+--E 535
)clear all
---S 536 of 1092
+--S 536 of 1092
t0:=x^4*(c+d*x)^3/(a+b*x)^2
--R
--R
@@ -10195,9 +10195,9 @@ t0:=x^4*(c+d*x)^3/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 536
+--E 536
---S 537 of 1092
+--S 537 of 1092
r0:=3*a^2*(b*c-2*a*d)*(b*c-a*d)^2*x/b^7-1/2*a*(2*b*c-5*a*d)*_
(b*c-a*d)^2*x^2/b^6+1/3*(b*c-4*a*d)*(b*c-a*d)^2*x^3/b^5+_
3/4*d*(b*c-a*d)^2*x^4/b^4+1/5*d^2*(3*b*c-2*a*d)*x^5/b^3+_
@@ -10238,9 +10238,9 @@ r0:=3*a^2*(b*c-2*a*d)*(b*c-a*d)^2*x/b^7-1/2*a*(2*b*c-5*a*d)*_
--R 9 8
--R 60b x + 60a b
--R Type: Expression(Integer)
---E 537
+--E 537
---S 538 of 1092
+--S 538 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10277,27 +10277,27 @@ a0:=integrate(t0,x)
--R 9 8
--R 60b x + 60a b
--R Type: Union(Expression(Integer),...)
---E 538
+--E 538
---S 539 of 1092
+--S 539 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 539
+--E 539
---S 540 of 1092
+--S 540 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 540
+--E 540
)clear all
---S 541 of 1092
+--S 541 of 1092
t0:=x^3*(c+d*x)^3/(a+b*x)^2
--R
--R
@@ -10307,9 +10307,9 @@ t0:=x^3*(c+d*x)^3/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 541
+--E 541
---S 542 of 1092
+--S 542 of 1092
r0:=-a*(2*b*c-5*a*d)*(b*c-a*d)^2*x/b^6+1/2*(b*c-4*a*d)*(b*c-a*d)^2*_
x^2/b^5+d*(b*c-a*d)^2*x^3/b^4+1/4*d^2*(3*b*c-2*a*d)*x^4/b^3+_
1/5*d^3*x^5/b^2+a^3*(b*c-a*d)^3/(b^7*(a+b*x))+_
@@ -10343,9 +10343,9 @@ r0:=-a*(2*b*c-5*a*d)*(b*c-a*d)^2*x/b^6+1/2*(b*c-4*a*d)*(b*c-a*d)^2*_
--R 8 7
--R 20b x + 20a b
--R Type: Expression(Integer)
---E 542
+--E 542
---S 543 of 1092
+--S 543 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10376,27 +10376,27 @@ a0:=integrate(t0,x)
--R 8 7
--R 20b x + 20a b
--R Type: Union(Expression(Integer),...)
---E 543
+--E 543
---S 544 of 1092
+--S 544 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 544
+--E 544
---S 545 of 1092
+--S 545 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 545
+--E 545
)clear all
---S 546 of 1092
+--S 546 of 1092
t0:=x^2*(c+d*x)^3/(a+b*x)^2
--R
--R
@@ -10406,9 +10406,9 @@ t0:=x^2*(c+d*x)^3/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 546
+--E 546
---S 547 of 1092
+--S 547 of 1092
r0:=(b*c-4*a*d)*(b*c-a*d)^2*x/b^5+3/2*d*(b*c-a*d)^2*x^2/b^4+_
1/3*d^2*(3*b*c-2*a*d)*x^3/b^3+1/4*d^3*x^4/b^2-a^2*_
(b*c-a*d)^3/(b^6*(a+b*x))-a*(2*b*c-5*a*d)*(b*c-a*d)^2*log(a+b*x)/b^6
@@ -10438,9 +10438,9 @@ r0:=(b*c-4*a*d)*(b*c-a*d)^2*x/b^5+3/2*d*(b*c-a*d)^2*x^2/b^4+_
--R 7 6
--R 12b x + 12a b
--R Type: Expression(Integer)
---E 547
+--E 547
---S 548 of 1092
+--S 548 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10468,27 +10468,27 @@ a0:=integrate(t0,x)
--R 7 6
--R 12b x + 12a b
--R Type: Union(Expression(Integer),...)
---E 548
+--E 548
---S 549 of 1092
+--S 549 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 549
+--E 549
---S 550 of 1092
+--S 550 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 550
+--E 550
)clear all
---S 551 of 1092
+--S 551 of 1092
t0:=x*(c+d*x)^3/(a+b*x)^2
--R
--R
@@ -10498,7 +10498,7 @@ t0:=x*(c+d*x)^3/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 551
+--E 551
--S 552 of 1092
r0:=3*d*(b*c-a*d)^2*x/b^4+1/2*d^2*(3*b*c-2*a*d)*x^2/b^3+1/3*d^3*x^3/b^2+_
@@ -10528,7 +10528,7 @@ r0:=3*d*(b*c-a*d)^2*x/b^4+1/2*d^2*(3*b*c-2*a*d)*x^2/b^3+1/3*d^3*x^3/b^2+_
--R Type: Expression(Integer)
--E 552
---S 553 of 1092
+--S 553 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10553,27 +10553,27 @@ a0:=integrate(t0,x)
--R 6 5
--R 6b x + 6a b
--R Type: Union(Expression(Integer),...)
---E 553
+--E 553
---S 554 of 1092
+--S 554 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 554
+--E 554
---S 555 of 1092
+--S 555 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 555
+--E 555
)clear all
---S 556 of 1092
+--S 556 of 1092
t0:=(c+d*x)^3/(a+b*x)^2
--R
--R
@@ -10583,9 +10583,9 @@ t0:=(c+d*x)^3/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 556
+--E 556
---S 557 of 1092
+--S 557 of 1092
r0:=d^2*(3*b*c-2*a*d)*x/b^3+1/2*d^3*x^2/b^2-(b*c-a*d)^3/(b^4*(a+b*x))+_
3*d*(b*c-a*d)^2*log(a+b*x)/b^4
--R
@@ -10605,9 +10605,9 @@ r0:=d^2*(3*b*c-2*a*d)*x/b^3+1/2*d^3*x^2/b^2-(b*c-a*d)^3/(b^4*(a+b*x))+_
--R 5 4
--R 2b x + 2a b
--R Type: Expression(Integer)
---E 557
+--E 557
---S 558 of 1092
+--S 558 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10626,27 +10626,27 @@ a0:=integrate(t0,x)
--R 5 4
--R 2b x + 2a b
--R Type: Union(Expression(Integer),...)
---E 558
+--E 558
---S 559 of 1092
+--S 559 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 559
+--E 559
---S 560 of 1092
+--S 560 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 560
+--E 560
)clear all
---S 561 of 1092
+--S 561 of 1092
t0:=(c+d*x)^3/(x*(a+b*x)^2)
--R
--R
@@ -10656,9 +10656,9 @@ t0:=(c+d*x)^3/(x*(a+b*x)^2)
--R 2 3 2 2
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 561
+--E 561
---S 562 of 1092
+--S 562 of 1092
r0:=d^3*x/b^2+(b*c-a*d)^3/(a*b^3*(a+b*x))+c^3*log(x)/a^2-_
(b*c-a*d)^2*(b*c+2*a*d)*log(a+b*x)/(a^2*b^3)
--R
@@ -10678,9 +10678,9 @@ r0:=d^3*x/b^2+(b*c-a*d)^3/(a*b^3*(a+b*x))+c^3*log(x)/a^2-_
--R 2 4 3 3
--R a b x + a b
--R Type: Expression(Integer)
---E 562
+--E 562
---S 563 of 1092
+--S 563 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10699,27 +10699,27 @@ a0:=integrate(t0,x)
--R 2 4 3 3
--R a b x + a b
--R Type: Union(Expression(Integer),...)
---E 563
+--E 563
---S 564 of 1092
+--S 564 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 564
+--E 564
---S 565 of 1092
+--S 565 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 565
+--E 565
)clear all
---S 566 of 1092
+--S 566 of 1092
t0:=(c+d*x)^3/(x^2*(a+b*x)^2)
--R
--R
@@ -10729,9 +10729,9 @@ t0:=(c+d*x)^3/(x^2*(a+b*x)^2)
--R 2 4 3 2 2
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 566
+--E 566
---S 567 of 1092
+--S 567 of 1092
r0:=-c^3/(a^2*x)-(b*c-a*d)^3/(a^2*b^2*(a+b*x))-c^2*(2*b*c-3*a*d)*_
log(x)/a^3+(b*c-a*d)^2*(2*b*c+a*d)*log(a+b*x)/(a^3*b^2)
--R
@@ -10751,9 +10751,9 @@ r0:=-c^3/(a^2*x)-(b*c-a*d)^3/(a^2*b^2*(a+b*x))-c^2*(2*b*c-3*a*d)*_
--R 3 3 2 4 2
--R a b x + a b x
--R Type: Expression(Integer)
---E 567
+--E 567
---S 568 of 1092
+--S 568 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10772,27 +10772,27 @@ a0:=integrate(t0,x)
--R 3 3 2 4 2
--R a b x + a b x
--R Type: Union(Expression(Integer),...)
---E 568
+--E 568
---S 569 of 1092
+--S 569 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 569
+--E 569
---S 570 of 1092
+--S 570 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 570
+--E 570
)clear all
---S 571 of 1092
+--S 571 of 1092
t0:=(c+d*x)^3/(x^3*(a+b*x)^2)
--R
--R
@@ -10802,9 +10802,9 @@ t0:=(c+d*x)^3/(x^3*(a+b*x)^2)
--R 2 5 4 2 3
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 571
+--E 571
---S 572 of 1092
+--S 572 of 1092
r0:=-1/2*c^3/(a^2*x^2)+c^2*(2*b*c-3*a*d)/(a^3*x)+(b*c-a*d)^3/_
(a^3*b*(a+b*x))+3*c*(b*c-a*d)^2*log(x)/a^4-3*c*(b*c-a*d)^2*log(a+b*x)/a^4
--R
@@ -10835,9 +10835,9 @@ r0:=-1/2*c^3/(a^2*x^2)+c^2*(2*b*c-3*a*d)/(a^3*x)+(b*c-a*d)^3/_
--R 4 2 3 5 2
--R 2a b x + 2a b x
--R Type: Expression(Integer)
---E 572
+--E 572
---S 573 of 1092
+--S 573 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10867,27 +10867,27 @@ a0:=integrate(t0,x)
--R 4 2 3 5 2
--R 2a b x + 2a b x
--R Type: Union(Expression(Integer),...)
---E 573
+--E 573
---S 574 of 1092
+--S 574 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 574
+--E 574
---S 575 of 1092
+--S 575 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 575
+--E 575
)clear all
---S 576 of 1092
+--S 576 of 1092
t0:=(c+d*x)^3/(x^4*(a+b*x)^2)
--R
--R
@@ -10897,9 +10897,9 @@ t0:=(c+d*x)^3/(x^4*(a+b*x)^2)
--R 2 6 5 2 4
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 576
+--E 576
---S 577 of 1092
+--S 577 of 1092
r0:=-1/3*c^3/(a^2*x^3)+1/2*c^2*(2*b*c-3*a*d)/(a^3*x^2)-3*c*(b*c-a*d)^2/_
(a^4*x)-(b*c-a*d)^3/(a^4*(a+b*x))-(b*c-a*d)^2*(4*b*c-a*d)*log(x)/_
a^5+(b*c-a*d)^2*(4*b*c-a*d)*log(a+b*x)/a^5
@@ -10931,9 +10931,9 @@ r0:=-1/3*c^3/(a^2*x^3)+1/2*c^2*(2*b*c-3*a*d)/(a^3*x^2)-3*c*(b*c-a*d)^2/_
--R 5 4 6 3
--R 6a b x + 6a x
--R Type: Expression(Integer)
---E 577
+--E 577
---S 578 of 1092
+--S 578 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -10963,27 +10963,27 @@ a0:=integrate(t0,x)
--R 5 4 6 3
--R 6a b x + 6a x
--R Type: Union(Expression(Integer),...)
---E 578
+--E 578
---S 579 of 1092
+--S 579 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 579
+--E 579
---S 580 of 1092
+--S 580 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 580
+--E 580
)clear all
---S 581 of 1092
+--S 581 of 1092
t0:=(c+d*x)^3/(x^5*(a+b*x)^2)
--R
--R
@@ -10993,9 +10993,9 @@ t0:=(c+d*x)^3/(x^5*(a+b*x)^2)
--R 2 7 6 2 5
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 581
+--E 581
---S 582 of 1092
+--S 582 of 1092
r0:=-1/4*c^3/(a^2*x^4)+1/3*c^2*(2*b*c-3*a*d)/(a^3*x^3)-_
3/2*c*(b*c-a*d)^2/(a^4*x^2)+(b*c-a*d)^2*(4*b*c-a*d)/_
(a^5*x)+b*(b*c-a*d)^3/(a^5*(a+b*x))+b*(5*b*c-2*a*d)*_
@@ -11031,9 +11031,9 @@ r0:=-1/4*c^3/(a^2*x^4)+1/3*c^2*(2*b*c-3*a*d)/(a^3*x^3)-_
--R 6 5 7 4
--R 12a b x + 12a x
--R Type: Expression(Integer)
---E 582
+--E 582
---S 583 of 1092
+--S 583 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -11066,27 +11066,27 @@ a0:=integrate(t0,x)
--R 6 5 7 4
--R 12a b x + 12a x
--R Type: Union(Expression(Integer),...)
---E 583
+--E 583
---S 584 of 1092
+--S 584 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 584
+--E 584
---S 585 of 1092
+--S 585 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 585
+--E 585
)clear all
---S 586 of 1092
+--S 586 of 1092
t0:=(c+d*x)^3/(x^6*(a+b*x)^2)
--R
--R
@@ -11096,9 +11096,9 @@ t0:=(c+d*x)^3/(x^6*(a+b*x)^2)
--R 2 8 7 2 6
--R b x + 2a b x + a x
--R Type: Fraction(Polynomial(Integer))
---E 586
+--E 586
---S 587 of 1092
+--S 587 of 1092
r0:=-1/5*c^3/(a^2*x^5)+1/4*c^2*(2*b*c-3*a*d)/(a^3*x^4)-c*(b*c-a*d)^2/_
(a^4*x^3)+1/2*(b*c-a*d)^2*(4*b*c-a*d)/(a^5*x^2)-_
b*(5*b*c-2*a*d)*(b*c-a*d)^2/(a^6*x)-b^2*(b*c-a*d)^3/_
@@ -11138,9 +11138,9 @@ r0:=-1/5*c^3/(a^2*x^5)+1/4*c^2*(2*b*c-3*a*d)/(a^3*x^4)-c*(b*c-a*d)^2/_
--R 7 6 8 5
--R 20a b x + 20a x
--R Type: Expression(Integer)
---E 587
+--E 587
---S 588 of 1092
+--S 588 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -11176,27 +11176,27 @@ a0:=integrate(t0,x)
--R 7 6 8 5
--R 20a b x + 20a x
--R Type: Union(Expression(Integer),...)
---E 588
+--E 588
---S 589 of 1092
+--S 589 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 589
+--E 589
---S 590 of 1092
+--S 590 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 590
+--E 590
)clear all
---S 591 of 1092
+--S 591 of 1092
t0:=(2-3*x)^3*sqrt(x)/(1+x)^2
--R
--R
@@ -11206,9 +11206,9 @@ t0:=(2-3*x)^3*sqrt(x)/(1+x)^2
--R 2
--R x + 2x + 1
--R Type: Expression(Integer)
---E 591
+--E 591
---S 592 of 1092
+--S 592 of 1092
r0a:=72*x^(3/2)-54/5*x^(5/2)+575*atan(sqrt(x))-450*sqrt(x)-_
125*sqrt(x)/(1+x)
--R
@@ -11218,9 +11218,9 @@ r0a:=72*x^(3/2)-54/5*x^(5/2)+575*atan(sqrt(x))-450*sqrt(x)-_
--R (2) --------------------------------------------------------------
--R 5x + 5
--R Type: Expression(Integer)
---E 592
+--E 592
---S 593 of 1092
+--S 593 of 1092
r0b:=575*atan(sqrt(x))-2689/5*sqrt(x)-_
1/5*(62-513*x)*sqrt(x)-21/5*(2-3*x)^2*sqrt(x)-(2-3*x)^3*sqrt(x)/(1+x)
--R
@@ -11230,9 +11230,9 @@ r0b:=575*atan(sqrt(x))-2689/5*sqrt(x)-_
--R (3) --------------------------------------------------------------
--R 5x + 5
--R Type: Expression(Integer)
---E 593
+--E 593
---S 594 of 1092
+--S 594 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -11241,43 +11241,43 @@ a0:=integrate(t0,x)
--R (4) --------------------------------------------------------------
--R 5x + 5
--R Type: Union(Expression(Integer),...)
---E 594
+--E 594
---S 595 of 1092
+--S 595 of 1092
m0a:=a0-r0a
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 595
+--E 595
---S 596 of 1092
+--S 596 of 1092
d0:=D(m0a,x)
--R
--R
--R (6) 0
--R Type: Expression(Integer)
---E 596
+--E 596
---S 597 of 1092
+--S 597 of 1092
m0b:=a0-r0b
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 597
+--E 597
---S 598 of 1092
+--S 598 of 1092
d0:=D(m0b,x)
--R
--R
--R (8) 0
--R Type: Expression(Integer)
---E 598
+--E 598
)clear all
---S 599 of 1092
+--S 599 of 1092
t0:=x^6/((a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -11291,9 +11291,9 @@ t0:=x^6/((a+b*x)^2*(c+d*x)^2)
--R 2 2 2 2
--R (2a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 599
+--E 599
---S 600 of 1092
+--S 600 of 1092
r0:=(3*b^2*c^2+4*a*b*c*d+3*a^2*d^2)*x/(b^4*d^4)-(b*c+a*d)*x^2/(b^3*d^3)+_
1/3*x^3/(b^2*d^2)-a^6/(b^5*(b*c-a*d)^2*(a+b*x))-_
c^6/(d^5*(b*c-a*d)^2*(c+d*x))-2*a^5*(3*b*c-2*a*d)*log(a+b*x)/_
@@ -11344,9 +11344,9 @@ r0:=(3*b^2*c^2+4*a*b*c*d+3*a^2*d^2)*x/(b^4*d^4)-(b*c+a*d)*x^2/(b^3*d^3)+_
--R 2 7 3 6 8 4 5
--R 9a b c d - 3a b c d
--R Type: Expression(Integer)
---E 600
+--E 600
---S 601 of 1092
+--S 601 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -11394,27 +11394,27 @@ a0:=integrate(t0,x)
--R 2 7 3 6 8 4 5
--R 9a b c d - 3a b c d
--R Type: Union(Expression(Integer),...)
---E 601
+--E 601
---S 602 of 1092
+--S 602 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 602
+--E 602
---S 603 of 1092
+--S 603 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 603
+--E 603
)clear all
---S 604 of 1092
+--S 604 of 1092
t0:=x^5/((a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -11428,9 +11428,9 @@ t0:=x^5/((a+b*x)^2*(c+d*x)^2)
--R 2 2 2 2
--R (2a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 604
+--E 604
---S 605 of 1092
+--S 605 of 1092
r0:=-2*(b*c+a*d)*x/(b^3*d^3)+1/2*x^2/(b^2*d^2)+a^5/(b^4*(b*c-a*d)^2*_
(a+b*x))+c^5/(d^4*(b*c-a*d)^2*(c+d*x))+a^4*(5*b*c-3*a*d)*_
log(a+b*x)/(b^4*(b*c-a*d)^3)+c^4*(3*b*c-5*a*d)*log(c+d*x)/_
@@ -11478,9 +11478,9 @@ r0:=-2*(b*c+a*d)*x/(b^3*d^3)+1/2*x^2/(b^2*d^2)+a^5/(b^4*(b*c-a*d)^2*_
--R 2 6 3 5 7 4 4
--R 6a b c d - 2a b c d
--R Type: Expression(Integer)
---E 605
+--E 605
---S 606 of 1092
+--S 606 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -11525,27 +11525,27 @@ a0:=integrate(t0,x)
--R 2 6 3 5 7 4 4
--R 6a b c d - 2a b c d
--R Type: Union(Expression(Integer),...)
---E 606
+--E 606
---S 607 of 1092
+--S 607 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 607
+--E 607
---S 608 of 1092
+--S 608 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 608
+--E 608
)clear all
---S 609 of 1092
+--S 609 of 1092
t0:=x^4/((a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -11559,9 +11559,9 @@ t0:=x^4/((a+b*x)^2*(c+d*x)^2)
--R 2 2 2 2
--R (2a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 609
+--E 609
---S 610 of 1092
+--S 610 of 1092
r0:=x/(b^2*d^2)-a^4/(b^3*(b*c-a*d)^2*(a+b*x))-c^4/(d^3*(b*c-a*d)^2*(c+d*x))-_
2*a^3*(2*b*c-a*d)*log(a+b*x)/(b^3*(b*c-a*d)^3)-_
2*c^3*(b*c-2*a*d)*log(c+d*x)/(d^3*(b*c-a*d)^3)
@@ -11605,9 +11605,9 @@ r0:=x/(b^2*d^2)-a^4/(b^3*(b*c-a*d)^2*(a+b*x))-c^4/(d^3*(b*c-a*d)^2*(c+d*x))-_
--R 2 5 3 4 6 4 3
--R 3a b c d - a b c d
--R Type: Expression(Integer)
---E 610
+--E 610
---S 611 of 1092
+--S 611 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -11649,27 +11649,27 @@ a0:=integrate(t0,x)
--R 2 5 3 4 6 4 3
--R 3a b c d - a b c d
--R Type: Union(Expression(Integer),...)
---E 611
+--E 611
---S 612 of 1092
+--S 612 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 612
+--E 612
---S 613 of 1092
+--S 613 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 613
+--E 613
)clear all
---S 614 of 1092
+--S 614 of 1092
t0:=x^3/((a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -11683,9 +11683,9 @@ t0:=x^3/((a+b*x)^2*(c+d*x)^2)
--R 2 2 2 2
--R (2a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 614
+--E 614
---S 615 of 1092
+--S 615 of 1092
r0:=a^3/(b^2*(b*c-a*d)^2*(a+b*x))+c^3/(d^2*(b*c-a*d)^2*(c+d*x))+_
a^2*(3*b*c-a*d)*log(a+b*x)/(b^2*(b*c-a*d)^3)+_
c^2*(b*c-3*a*d)*log(c+d*x)/(d^2*(b*c-a*d)^3)
@@ -11720,9 +11720,9 @@ r0:=a^3/(b^2*(b*c-a*d)^2*(a+b*x))+c^3/(d^2*(b*c-a*d)^2*(c+d*x))+_
--R 2 4 3 3 5 4 2
--R 3a b c d - a b c d
--R Type: Expression(Integer)
---E 615
+--E 615
---S 616 of 1092
+--S 616 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -11755,27 +11755,27 @@ a0:=integrate(t0,x)
--R 2 4 3 3 5 4 2
--R 3a b c d - a b c d
--R Type: Union(Expression(Integer),...)
---E 616
+--E 616
---S 617 of 1092
+--S 617 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 617
+--E 617
---S 618 of 1092
+--S 618 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 618
+--E 618
)clear all
---S 619 of 1092
+--S 619 of 1092
t0:=x^2/((a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -11789,9 +11789,9 @@ t0:=x^2/((a+b*x)^2*(c+d*x)^2)
--R 2 2 2 2
--R (2a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 619
+--E 619
---S 620 of 1092
+--S 620 of 1092
r0:=-a^2/(b*(b*c-a*d)^2*(a+b*x))-c^2/(d*(b*c-a*d)^2*(c+d*x))-_
2*a*c*log(a+b*x)/(b*c-a*d)^3+2*a*c*log(c+d*x)/(b*c-a*d)^3
--R
@@ -11815,9 +11815,9 @@ r0:=-a^2/(b*(b*c-a*d)^2*(a+b*x))-c^2/(d*(b*c-a*d)^2*(c+d*x))-_
--R 2 3 3 2 4 4
--R 3a b c d - a b c d
--R Type: Expression(Integer)
---E 620
+--E 620
---S 621 of 1092
+--S 621 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -11840,27 +11840,27 @@ a0:=integrate(t0,x)
--R 2 3 3 2 4 4
--R 3a b c d - a b c d
--R Type: Union(Expression(Integer),...)
---E 621
+--E 621
---S 622 of 1092
+--S 622 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 622
+--E 622
---S 623 of 1092
+--S 623 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 623
+--E 623
)clear all
---S 624 of 1092
+--S 624 of 1092
t0:=x/((a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -11873,9 +11873,9 @@ t0:=x/((a+b*x)^2*(c+d*x)^2)
--R 2 2 2 2
--R (2a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 624
+--E 624
---S 625 of 1092
+--S 625 of 1092
r0:=a/((b*c-a*d)^2*(a+b*x))+c/((b*c-a*d)^2*(c+d*x))+_
(b*c+a*d)*log(a+b*x)/(b*c-a*d)^3-(b*c+a*d)*log(c+d*x)/(b*c-a*d)^3
--R
@@ -11903,9 +11903,9 @@ r0:=a/((b*c-a*d)^2*(a+b*x))+c/((b*c-a*d)^2*(c+d*x))+_
--R 3 4
--R - a b c
--R Type: Expression(Integer)
---E 625
+--E 625
---S 626 of 1092
+--S 626 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -11932,27 +11932,27 @@ a0:=integrate(t0,x)
--R 3 4
--R - a b c
--R Type: Union(Expression(Integer),...)
---E 626
+--E 626
---S 627 of 1092
+--S 627 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 627
+--E 627
---S 628 of 1092
+--S 628 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 628
+--E 628
)clear all
---S 629 of 1092
+--S 629 of 1092
t0:=1/((a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -11965,9 +11965,9 @@ t0:=1/((a+b*x)^2*(c+d*x)^2)
--R 2 2 2 2
--R (2a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 629
+--E 629
---S 630 of 1092
+--S 630 of 1092
r0:=-b/((b*c-a*d)^2*(a+b*x))-d/((b*c-a*d)^2*(c+d*x))-_
2*b*d*log(a+b*x)/(b*c-a*d)^3+2*b*d*log(c+d*x)/(b*c-a*d)^3
--R
@@ -11991,9 +11991,9 @@ r0:=-b/((b*c-a*d)^2*(a+b*x))-d/((b*c-a*d)^2*(c+d*x))-_
--R 3 4
--R - a b c
--R Type: Expression(Integer)
---E 630
+--E 630
---S 631 of 1092
+--S 631 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -12016,27 +12016,27 @@ a0:=integrate(t0,x)
--R 3 4
--R - a b c
--R Type: Union(Expression(Integer),...)
---E 631
+--E 631
---S 632 of 1092
+--S 632 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 632
+--E 632
---S 633 of 1092
+--S 633 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 633
+--E 633
)clear all
---S 634 of 1092
+--S 634 of 1092
t0:=1/(x*(a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -12049,9 +12049,9 @@ t0:=1/(x*(a+b*x)^2*(c+d*x)^2)
--R 2 2 2 2 2
--R (2a c d + 2a b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 634
+--E 634
---S 635 of 1092
+--S 635 of 1092
r0:=b^2/(a*(b*c-a*d)^2*(a+b*x))+d^2/(c*(b*c-a*d)^2*(c+d*x))+_
log(x)/(a^2*c^2)-b^2*(b*c-3*a*d)*log(a+b*x)/(a^2*(b*c-a*d)^3)-_
d^2*(3*b*c-a*d)*log(c+d*x)/(c^2*(b*c-a*d)^3)
@@ -12097,9 +12097,9 @@ r0:=b^2/(a*(b*c-a*d)^2*(a+b*x))+d^2/(c*(b*c-a*d)^2*(c+d*x))+_
--R 3 3 6
--R - a b c
--R Type: Expression(Integer)
---E 635
+--E 635
---S 636 of 1092
+--S 636 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -12143,27 +12143,27 @@ a0:=integrate(t0,x)
--R 3 3 6
--R - a b c
--R Type: Union(Expression(Integer),...)
---E 636
+--E 636
---S 637 of 1092
+--S 637 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 637
+--E 637
---S 638 of 1092
+--S 638 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 638
+--E 638
)clear all
---S 639 of 1092
+--S 639 of 1092
t0:=1/(x^2*(a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -12176,9 +12176,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^2)
--R 2 2 3 2 2 2
--R (2a c d + 2a b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 639
+--E 639
---S 640 of 1092
+--S 640 of 1092
r0:=(-1)/(a^2*c^2*x)-b^3/(a^2*(b*c-a*d)^2*(a+b*x))-_
d^3/(c^2*(b*c-a*d)^2*(c+d*x))-2*(b*c+a*d)*log(x)/(a^3*c^3)+_
2*b^3*(b*c-2*a*d)*log(a+b*x)/(a^3*(b*c-a*d)^3)+_
@@ -12231,9 +12231,9 @@ r0:=(-1)/(a^2*c^2*x)-b^3/(a^2*(b*c-a*d)^2*(a+b*x))-_
--R 7 4 3 6 5 2 5 2 6 4 3 7
--R (a c d - 3a b c d + 3a b c d - a b c )x
--R Type: Expression(Integer)
---E 640
+--E 640
---S 641 of 1092
+--S 641 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -12283,27 +12283,27 @@ a0:=integrate(t0,x)
--R 7 4 3 6 5 2 5 2 6 4 3 7
--R (a c d - 3a b c d + 3a b c d - a b c )x
--R Type: Union(Expression(Integer),...)
---E 641
+--E 641
---S 642 of 1092
+--S 642 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 642
+--E 642
---S 643 of 1092
+--S 643 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 643
+--E 643
)clear all
---S 644 of 1092
+--S 644 of 1092
t0:=1/(x^3*(a+b*x)^2*(c+d*x)^2)
--R
--R
@@ -12316,9 +12316,9 @@ t0:=1/(x^3*(a+b*x)^2*(c+d*x)^2)
--R 2 2 4 2 2 3
--R (2a c d + 2a b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 644
+--E 644
---S 645 of 1092
+--S 645 of 1092
r0:=(-1/2)/(a^2*c^2*x^2)+2*(b*c+a*d)/(a^3*c^3*x)+_
b^4/(a^3*(b*c-a*d)^2*(a+b*x))+d^4/(c^3*(b*c-a*d)^2*(c+d*x))+_
(3*b^2*c^2+4*a*b*c*d+3*a^2*d^2)*log(x)/(a^4*c^4)-b^4*(3*b*c-5*a*d)*_
@@ -12375,9 +12375,9 @@ r0:=(-1/2)/(a^2*c^2*x^2)+2*(b*c+a*d)/(a^3*c^3*x)+_
--R 8 5 3 7 6 2 6 2 7 5 3 8 2
--R (2a c d - 6a b c d + 6a b c d - 2a b c )x
--R Type: Expression(Integer)
---E 645
+--E 645
---S 646 of 1092
+--S 646 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -12430,27 +12430,27 @@ a0:=integrate(t0,x)
--R 8 5 3 7 6 2 6 2 7 5 3 8 2
--R (2a c d - 6a b c d + 6a b c d - 2a b c )x
--R Type: Union(Expression(Integer),...)
---E 646
+--E 646
---S 647 of 1092
+--S 647 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 647
+--E 647
---S 648 of 1092
+--S 648 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 648
+--E 648
)clear all
---S 649 of 1092
+--S 649 of 1092
t0:=x^7/((a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -12464,9 +12464,9 @@ t0:=x^7/((a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 2 2 2 3 2 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 649
+--E 649
---S 650 of 1092
+--S 650 of 1092
r0:=3*(2*b^2*c^2+2*a*b*c*d+a^2*d^2)*x/(b^4*d^5)-1/2*(3*b*c+2*a*d)*x^2/_
(b^3*d^4)+1/3*x^3/(b^2*d^3)+a^7/(b^5*(b*c-a*d)^3*(a+b*x))+1/2*c^7/_
(d^6*(b*c-a*d)^2*(c+d*x)^2)-c^6*(5*b*c-7*a*d)/(d^6*(b*c-a*d)^3*_
@@ -12570,9 +12570,9 @@ r0:=3*(2*b^2*c^2+2*a*b*c*d+a^2*d^2)*x/(b^4*d^5)-1/2*(3*b*c+2*a*d)*x^2/_
--R 5 5 2 10 4 6 3 9 3 7 4 8 2 8 5 7 9 6 6
--R 6a b c d - 24a b c d + 36a b c d - 24a b c d + 6a b c d
--R Type: Expression(Integer)
---E 650
+--E 650
---S 651 of 1092
+--S 651 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -12672,27 +12672,27 @@ a0:=integrate(t0,x)
--R 5 5 2 10 4 6 3 9 3 7 4 8 2 8 5 7 9 6 6
--R 6a b c d - 24a b c d + 36a b c d - 24a b c d + 6a b c d
--R Type: Union(Expression(Integer),...)
---E 651
+--E 651
---S 652 of 1092
+--S 652 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 652
+--E 652
---S 653 of 1092
+--S 653 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 653
+--E 653
)clear all
---S 654 of 1092
+--S 654 of 1092
t0:=x^6/((a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -12706,9 +12706,9 @@ t0:=x^6/((a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 2 2 2 3 2 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 654
+--E 654
---S 655 of 1092
+--S 655 of 1092
r0:=-(3*b*c+2*a*d)*x/(b^3*d^4)+1/2*x^2/(b^2*d^3)-a^6/(b^4*(b*c-a*d)^3*_
(a+b*x))-1/2*c^6/(d^5*(b*c-a*d)^2*(c+d*x)^2)+2*c^5*(2*b*c-3*a*d)/_
(d^5*(b*c-a*d)^3*(c+d*x))-3*a^5*(2*b*c-a*d)*log(a+b*x)/_
@@ -12786,9 +12786,9 @@ r0:=-(3*b*c+2*a*d)*x/(b^3*d^4)+1/2*x^2/(b^2*d^3)-a^6/(b^4*(b*c-a*d)^3*_
--R 5 4 2 9 4 5 3 8 3 6 4 7 2 7 5 6 8 6 5
--R 2a b c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Expression(Integer)
---E 655
+--E 655
---S 656 of 1092
+--S 656 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -12862,27 +12862,27 @@ a0:=integrate(t0,x)
--R 5 4 2 9 4 5 3 8 3 6 4 7 2 7 5 6 8 6 5
--R 2a b c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Union(Expression(Integer),...)
---E 656
+--E 656
---S 657 of 1092
+--S 657 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 657
+--E 657
---S 658 of 1092
+--S 658 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 658
+--E 658
)clear all
---S 659 of 1092
+--S 659 of 1092
t0:=x^5/((a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -12896,9 +12896,9 @@ t0:=x^5/((a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 2 2 2 3 2 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 659
+--E 659
---S 660 of 1092
+--S 660 of 1092
r0:=x/(b^2*d^3)+a^5/(b^3*(b*c-a*d)^3*(a+b*x))+1/2*c^5/(d^4*(b*c-a*d)^2*_
(c+d*x)^2)-c^4*(3*b*c-5*a*d)/(d^4*(b*c-a*d)^3*(c+d*x))+_
a^4*(5*b*c-2*a*d)*log(a+b*x)/(b^3*(b*c-a*d)^4)-c^3*_
@@ -12966,9 +12966,9 @@ r0:=x/(b^2*d^3)+a^5/(b^3*(b*c-a*d)^3*(a+b*x))+1/2*c^5/(d^4*(b*c-a*d)^2*_
--R 5 3 2 8 4 4 3 7 3 5 4 6 2 6 5 5 7 6 4
--R 2a b c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Expression(Integer)
---E 660
+--E 660
---S 661 of 1092
+--S 661 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -13033,27 +13033,27 @@ a0:=integrate(t0,x)
--R 5 3 2 8 4 4 3 7 3 5 4 6 2 6 5 5 7 6 4
--R 2a b c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Union(Expression(Integer),...)
---E 661
+--E 661
---S 662 of 1092
+--S 662 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 662
+--E 662
---S 663 of 1092
+--S 663 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 663
+--E 663
)clear all
---S 664 of 1092
+--S 664 of 1092
t0:=x^4/((a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -13067,9 +13067,9 @@ t0:=x^4/((a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 2 2 2 3 2 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 664
+--E 664
---S 665 of 1092
+--S 665 of 1092
r0:=-a^4/(b^2*(b*c-a*d)^3*(a+b*x))-1/2*c^4/(d^3*(b*c-a*d)^2*(c+d*x)^2)+_
2*c^3*(b*c-2*a*d)/(d^3*(b*c-a*d)^3*(c+d*x))-a^3*(4*b*c-a*d)*_
log(a+b*x)/(b^2*(b*c-a*d)^4)+c^2*(b^2*c^2-4*a*b*c*d+6*a^2*d^2)*_
@@ -13120,9 +13120,9 @@ r0:=-a^4/(b^2*(b*c-a*d)^3*(a+b*x))-1/2*c^4/(d^3*(b*c-a*d)^2*(c+d*x)^2)+_
--R 5 2 2 7 4 3 3 6 3 4 4 5 2 5 5 4 6 6 3
--R 2a b c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Expression(Integer)
---E 665
+--E 665
---S 666 of 1092
+--S 666 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -13170,27 +13170,27 @@ a0:=integrate(t0,x)
--R 5 2 2 7 4 3 3 6 3 4 4 5 2 5 5 4 6 6 3
--R 2a b c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Union(Expression(Integer),...)
---E 666
+--E 666
---S 667 of 1092
+--S 667 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 667
+--E 667
---S 668 of 1092
+--S 668 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 668
+--E 668
)clear all
---S 669 of 1092
+--S 669 of 1092
t0:=x^3/((a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -13204,9 +13204,9 @@ t0:=x^3/((a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 2 2 2 3 2 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 669
+--E 669
---S 670 of 1092
+--S 670 of 1092
r0:=a^3/(b*(b*c-a*d)^3*(a+b*x))+1/2*c^3/(d^2*(b*c-a*d)^2*(c+d*x)^2)-_
c^2*(b*c-3*a*d)/(d^2*(b*c-a*d)^3*(c+d*x))+3*a^2*c*log(a+b*x)/_
(b*c-a*d)^4-3*a^2*c*log(c+d*x)/(b*c-a*d)^4
@@ -13250,9 +13250,9 @@ r0:=a^3/(b*(b*c-a*d)^3*(a+b*x))+1/2*c^3/(d^2*(b*c-a*d)^2*(c+d*x)^2)-_
--R 5 2 6 4 2 3 5 3 3 4 4 2 4 5 3 5 6 2
--R 2a b c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Expression(Integer)
---E 670
+--E 670
---S 671 of 1092
+--S 671 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -13294,27 +13294,27 @@ a0:=integrate(t0,x)
--R 5 2 6 4 2 3 5 3 3 4 4 2 4 5 3 5 6 2
--R 2a b c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Union(Expression(Integer),...)
---E 671
+--E 671
---S 672 of 1092
+--S 672 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 672
+--E 672
---S 673 of 1092
+--S 673 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 673
+--E 673
)clear all
---S 674 of 1092
+--S 674 of 1092
t0:=x^2/((a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -13328,9 +13328,9 @@ t0:=x^2/((a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 2 2 2 3 2 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 674
+--E 674
---S 675 of 1092
+--S 675 of 1092
r0:=-a^2/((b*c-a*d)^3*(a+b*x))-1/2*c^2/(d*(b*c-a*d)^2*(c+d*x)^2)-_
2*a*c/((b*c-a*d)^3*(c+d*x))-a*(2*b*c+a*d)*log(a+b*x)/(b*c-a*d)^4+_
a*(2*b*c+a*d)*log(c+d*x)/(b*c-a*d)^4
@@ -13371,9 +13371,9 @@ r0:=-a^2/((b*c-a*d)^3*(a+b*x))-1/2*c^2/(d*(b*c-a*d)^2*(c+d*x)^2)-_
--R 5 2 5 4 3 4 3 2 4 3 2 3 5 2 4 6
--R 2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Expression(Integer)
---E 675
+--E 675
---S 676 of 1092
+--S 676 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -13412,27 +13412,27 @@ a0:=integrate(t0,x)
--R 5 2 5 4 3 4 3 2 4 3 2 3 5 2 4 6
--R 2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d
--R Type: Union(Expression(Integer),...)
---E 676
+--E 676
---S 677 of 1092
+--S 677 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 677
+--E 677
---S 678 of 1092
+--S 678 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 678
+--E 678
)clear all
---S 679 of 1092
+--S 679 of 1092
t0:=x/((a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -13445,9 +13445,9 @@ t0:=x/((a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 2 2 2 3 2 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 679
+--E 679
---S 680 of 1092
+--S 680 of 1092
r0:=a*b/((b*c-a*d)^3*(a+b*x))+1/2*c/((b*c-a*d)^2*(c+d*x)^2)+(b*c+a*d)/_
((b*c-a*d)^3*(c+d*x))+b*(b*c+2*a*d)*log(a+b*x)/(b*c-a*d)^4-_
b*(b*c+2*a*d)*log(c+d*x)/(b*c-a*d)^4
@@ -13488,9 +13488,9 @@ r0:=a*b/((b*c-a*d)^3*(a+b*x))+1/2*c/((b*c-a*d)^2*(c+d*x)^2)+(b*c+a*d)/_
--R 5 2 4 4 3 3 3 2 4 2 2 3 5 4 6
--R 2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c
--R Type: Expression(Integer)
---E 680
+--E 680
---S 681 of 1092
+--S 681 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -13529,27 +13529,27 @@ a0:=integrate(t0,x)
--R 5 2 4 4 3 3 3 2 4 2 2 3 5 4 6
--R 2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c
--R Type: Union(Expression(Integer),...)
---E 681
+--E 681
---S 682 of 1092
+--S 682 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 682
+--E 682
---S 683 of 1092
+--S 683 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 683
+--E 683
)clear all
---S 684 of 1092
+--S 684 of 1092
t0:=1/((a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -13562,9 +13562,9 @@ t0:=1/((a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 2 2 2 3 2 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 684
+--E 684
---S 685 of 1092
+--S 685 of 1092
r0:=-b^2/((b*c-a*d)^3*(a+b*x))-1/2*d/((b*c-a*d)^2*(c+d*x)^2)-_
2*b*d/((b*c-a*d)^3*(c+d*x))-3*b^2*d*log(a+b*x)/(b*c-a*d)^4+_
3*b^2*d*log(c+d*x)/(b*c-a*d)^4
@@ -13602,9 +13602,9 @@ r0:=-b^2/((b*c-a*d)^3*(a+b*x))-1/2*d/((b*c-a*d)^2*(c+d*x)^2)-_
--R 5 2 4 4 3 3 3 2 4 2 2 3 5 4 6
--R 2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c
--R Type: Expression(Integer)
---E 685
+--E 685
---S 686 of 1092
+--S 686 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -13640,27 +13640,27 @@ a0:=integrate(t0,x)
--R 5 2 4 4 3 3 3 2 4 2 2 3 5 4 6
--R 2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c
--R Type: Union(Expression(Integer),...)
---E 686
+--E 686
---S 687 of 1092
+--S 687 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 687
+--E 687
---S 688 of 1092
+--S 688 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 688
+--E 688
)clear all
---S 689 of 1092
+--S 689 of 1092
t0:=1/(x*(a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -13673,9 +13673,9 @@ t0:=1/(x*(a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 3 2 2 3 2 2 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 689
+--E 689
---S 690 of 1092
+--S 690 of 1092
r0:=b^3/(a*(b*c-a*d)^3*(a+b*x))+1/2*d^2/(c*(b*c-a*d)^2*(c+d*x)^2)+_
d^2*(3*b*c-a*d)/(c^2*(b*c-a*d)^3*(c+d*x))+log(x)/(a^2*c^3)-_
b^3*(b*c-4*a*d)*log(a+b*x)/(a^2*(b*c-a*d)^4)-d^2*(6*b^2*c^2-_
@@ -13740,9 +13740,9 @@ r0:=b^3/(a*(b*c-a*d)^3*(a+b*x))+1/2*d^2/(c*(b*c-a*d)^2*(c+d*x)^2)+_
--R 7 5 4 6 6 3 5 2 7 2 4 3 8 3 4 9
--R 2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c
--R Type: Expression(Integer)
---E 690
+--E 690
---S 691 of 1092
+--S 691 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -13804,27 +13804,27 @@ a0:=integrate(t0,x)
--R 7 5 4 6 6 3 5 2 7 2 4 3 8 3 4 9
--R 2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c
--R Type: Union(Expression(Integer),...)
---E 691
+--E 691
---S 692 of 1092
+--S 692 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 692
+--E 692
---S 693 of 1092
+--S 693 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 693
+--E 693
)clear all
---S 694 of 1092
+--S 694 of 1092
t0:=1/(x^2*(a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -13837,9 +13837,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 4 2 2 3 3 2 3 2
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 694
+--E 694
---S 695 of 1092
+--S 695 of 1092
r0:=(-1)/(a^2*c^3*x)-b^4/(a^2*(b*c-a*d)^3*(a+b*x))-_
1/2*d^3/(c^2*(b*c-a*d)^2*(c+d*x)^2)-2*d^3*(2*b*c-a*d)/_
(c^3*(b*c-a*d)^3*(c+d*x))-(2*b*c+3*a*d)*log(x)/(a^3*c^4)+_
@@ -13926,112 +13926,23 @@ r0:=(-1)/(a^2*c^3*x)-b^4/(a^2*(b*c-a*d)^3*(a+b*x))-_
--R 8 6 4 7 7 3 6 2 8 2 5 3 9 4 4 10
--R (2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c )x
--R Type: Expression(Integer)
---E 695
+--E 695
---S 696 of 1092
-a0:=integrate(t0,x)
---R
---R
---R (3)
---R 5 7 4 2 6 3 3 2 5 4
---R (6a b d - 20a b c d + 20a b c d )x
---R +
---R 6 7 5 6 4 2 2 5 3 3 3 4 3
---R (6a d - 8a b c d - 20a b c d + 40a b c d )x
---R +
---R 6 6 5 2 5 4 2 3 4 3 3 4 3 2
---R (12a c d - 34a b c d + 20a b c d + 20a b c d )x
---R +
---R 6 2 5 5 3 4 4 2 4 3
---R (6a c d - 20a b c d + 20a b c d )x
---R *
---R log(d x + c)
---R +
---R 5 4 3 6 5 2 4 2 4 4 3 5 5 2 6 6 3
---R (- 10a b c d + 4b c d )x + (- 10a b c d - 16a b c d + 8b c d)x
---R +
---R 2 4 5 2 5 6 6 7 2 2 4 6 5 7
---R (- 20a b c d - 2a b c d + 4b c )x + (- 10a b c d + 4a b c )x
---R *
---R log(b x + a)
---R +
---R 5 7 4 2 6 3 3 2 5 5 4 3 6 5 2 4
---R (- 6a b d + 20a b c d - 20a b c d + 10a b c d - 4b c d )x
---R +
---R 6 7 5 6 4 2 2 5 3 3 3 4 2 4 4 3
---R - 6a d + 8a b c d + 20a b c d - 40a b c d + 10a b c d
---R +
---R 5 5 2 6 6
---R 16a b c d - 8b c d
---R *
---R 3
---R x
---R +
---R 6 6 5 2 5 4 2 3 4 3 3 4 3 2 4 5 2
---R - 12a c d + 34a b c d - 20a b c d - 20a b c d + 20a b c d
---R +
---R 5 6 6 7
---R 2a b c d - 4b c
---R *
---R 2
---R x
---R +
---R 6 2 5 5 3 4 4 2 4 3 2 4 6 5 7
---R (- 6a c d + 20a b c d - 20a b c d + 10a b c d - 4a b c )x
---R *
---R log(x)
---R +
---R 5 6 4 2 2 5 3 3 3 4 2 4 4 3 5 5 2 3
---R (- 6a b c d + 20a b c d - 20a b c d + 10a b c d - 4a b c d )x
---R +
---R 6 6 5 2 5 4 2 3 4 3 3 4 3 2 4 5 2
---R - 6a c d + 11a b c d + 10a b c d - 25a b c d + 18a b c d
---R +
---R 5 6
---R - 8a b c d
---R *
---R 2
---R x
---R +
---R 6 2 5 5 3 4 4 2 4 3 3 3 5 2 2 4 6 5 7
---R (- 9a c d + 28a b c d - 25a b c d + 4a b c d + 6a b c d - 4a b c )x
---R +
---R 6 3 4 5 4 3 4 2 5 2 3 3 6 2 4 7
---R - 2a c d + 8a b c d - 12a b c d + 8a b c d - 2a b c
---R /
---R 7 4 6 6 2 5 5 5 3 6 4 4 4 7 3 3 5 8 2 4
---R (2a b c d - 8a b c d + 12a b c d - 8a b c d + 2a b c d )x
---R +
---R 8 4 6 7 5 5 6 2 6 4 5 3 7 3 4 4 8 2 3 5 9 3
---R (2a c d - 4a b c d - 4a b c d + 16a b c d - 14a b c d + 4a b c d)x
---R +
---R 8 5 5 7 6 4 6 2 7 3 5 3 8 2 4 4 9 3 5 10 2
---R (4a c d - 14a b c d + 16a b c d - 4a b c d - 4a b c d + 2a b c )x
---R +
---R 8 6 4 7 7 3 6 2 8 2 5 3 9 4 4 10
---R (2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c )x
---R Type: Union(Expression(Integer),...)
---E 696
+--S 696 of 1092
+--a0:=integrate(t0,x)
+--E 696
---S 697 of 1092
-m0:=a0-r0
---R
---R
---R (4) 0
---R Type: Expression(Integer)
---E 697
+--S 697 of 1092
+--m0:=a0-r0
+--E 697
---S 698 of 1092
-d0:=D(m0,x)
---R
---R
---R (5) 0
---R Type: Expression(Integer)
---E 698
+--S 698 of 1092
+--d0:=D(m0,x)
+--E 698
)clear all
---S 699 of 1092
+--S 699 of 1092
t0:=1/(x^3*(a+b*x)^2*(c+d*x)^3)
--R
--R
@@ -14044,9 +13955,9 @@ t0:=1/(x^3*(a+b*x)^2*(c+d*x)^3)
--R 2 2 2 2 3 5 2 2 3 4 2 3 3
--R (3a c d + 6a b c d + b c )x + (3a c d + 2a b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 699
+--E 699
---S 700 of 1092
+--S 700 of 1092
r0:=(-1/2)/(a^2*c^3*x^2)+(2*b*c+3*a*d)/(a^3*c^4*x)+b^5/(a^3*(b*c-a*d)^3*_
(a+b*x))+1/2*d^4/(c^3*(b*c-a*d)^2*(c+d*x)^2)+d^4*(5*b*c-3*a*d)/_
(c^4*(b*c-a*d)^3*(c+d*x))+3*(b^2*c^2+2*a*b*c*d+2*a^2*d^2)*log(x)/_
@@ -14142,9 +14053,9 @@ r0:=(-1/2)/(a^2*c^3*x^2)+(2*b*c+3*a*d)/(a^3*c^4*x)+b^5/(a^3*(b*c-a*d)^3*_
--R 9 7 4 8 8 3 7 2 9 2 6 3 10 5 4 11 2
--R (2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c )x
--R Type: Expression(Integer)
---E 700
+--E 700
---S 701 of 1092
+--S 701 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -14236,27 +14147,27 @@ a0:=integrate(t0,x)
--R 9 7 4 8 8 3 7 2 9 2 6 3 10 5 4 11 2
--R (2a c d - 8a b c d + 12a b c d - 8a b c d + 2a b c )x
--R Type: Union(Expression(Integer),...)
---E 701
+--E 701
---S 702 of 1092
+--S 702 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 702
+--E 702
---S 703 of 1092
+--S 703 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 703
+--E 703
)clear all
---S 704 of 1092
+--S 704 of 1092
t0:=x^2/((-1+x)^2*(1+x)^2)
--R
--R
@@ -14266,9 +14177,9 @@ t0:=x^2/((-1+x)^2*(1+x)^2)
--R 4 2
--R x - 2x + 1
--R Type: Fraction(Polynomial(Integer))
---E 704
+--E 704
---S 705 of 1092
+--S 705 of 1092
r0:=1/2*x/(1-x^2)-1/2*atanh(x)
--R
--R
@@ -14278,9 +14189,9 @@ r0:=1/2*x/(1-x^2)-1/2*atanh(x)
--R 2
--R 2x - 2
--R Type: Expression(Integer)
---E 705
+--E 705
---S 706 of 1092
+--S 706 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -14290,9 +14201,9 @@ a0:=integrate(t0,x)
--R 2
--R 4x - 4
--R Type: Union(Expression(Integer),...)
---E 706
+--E 706
---S 707 of 1092
+--S 707 of 1092
m0:=a0-r0
--R
--R
@@ -14300,19 +14211,19 @@ m0:=a0-r0
--R (4) -------------------------------------
--R 4
--R Type: Expression(Integer)
---E 707
+--E 707
---S 708 of 1092
+--S 708 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 708
+--E 708
)clear all
---S 709 of 1092
+--S 709 of 1092
t0:=b^2*x^m/(b+a*x^2)^2
--R
--R
@@ -14322,28 +14233,28 @@ t0:=b^2*x^m/(b+a*x^2)^2
--R 2 4 2 2
--R a x + 2a b x + b
--R Type: Expression(Integer)
---E 709
+--E 709
---S 710 of 1092
+--S 710 of 1092
--r0:=1/2*b*x^(1+m)/(b+a*x^2)+1/2*(1-m)*x^(1+m)*_
-- hypergeometric(1,1/2*(1+m),1/2*(3+m),-a*x^2/b)/(1+m)
---E 710
+--E 710
---S 711 of 1092
+--S 711 of 1092
--a0:=integrate(t0,x)
---E 711
+--E 711
---S 712 of 1092
+--S 712 of 1092
--m0:=a0-r0
---E 712
+--E 712
---S 713 of 1092
+--S 713 of 1092
--d0:=D(m0,x)
---E 713
+--E 713
)clear all
---S 714 of 1092
+--S 714 of 1092
t0:=x^m/((1-x*sqrt(a)/sqrt(-b))^2*(1+x*sqrt(a)/sqrt(-b))^2)
--R
--R
@@ -14353,28 +14264,28 @@ t0:=x^m/((1-x*sqrt(a)/sqrt(-b))^2*(1+x*sqrt(a)/sqrt(-b))^2)
--R 2 4 2 2
--R a x + 2a b x + b
--R Type: Expression(Integer)
---E 714
+--E 714
---S 715 of 1092
+--S 715 of 1092
--r0:=1/2*b*x^(1+m)/(b+a*x^2)+1/2*(1-m)*x^(1+m)*_
-- hypergeometric(1,1/2*(1+m),1/2*(3+m),-a*x^2/b)/(1+m)
---E 715
+--E 715
---S 716 of 1092
+--S 716 of 1092
--a0:=integrate(t0,x)
---E 716
+--E 716
---S 717 of 1092
+--S 717 of 1092
--m0:=a0-r0
---E 717
+--E 717
---S 718 of 1092
+--S 718 of 1092
--d0:=D(m0,x)
---E 718
+--E 718
)clear all
---S 719 of 1092
+--S 719 of 1092
t0:=x^3*(c+d*x)^3/(a+b*x)^3
--R
--R
@@ -14384,9 +14295,9 @@ t0:=x^3*(c+d*x)^3/(a+b*x)^3
--R 3 3 2 2 2 3
--R b x + 3a b x + 3a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 719
+--E 719
---S 720 of 1092
+--S 720 of 1092
r0:=(b*c-a*d)*(b^2*c^2-8*a*b*c*d+10*a^2*d^2)*x/b^6+_
3/2*d*(b*c-2*a*d)*(b*c-a*d)*x^2/b^5+d^2*(b*c-a*d)*x^3/b^4+_
1/4*d^3*x^4/b^3+1/2*a^3*(b*c-a*d)^3/(b^7*(a+b*x)^2)-_
@@ -14424,9 +14335,9 @@ r0:=(b*c-a*d)*(b^2*c^2-8*a*b*c*d+10*a^2*d^2)*x/b^6+_
--R 9 2 8 2 7
--R 4b x + 8a b x + 4a b
--R Type: Expression(Integer)
---E 720
+--E 720
---S 721 of 1092
+--S 721 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -14460,27 +14371,27 @@ a0:=integrate(t0,x)
--R 9 2 8 2 7
--R 4b x + 8a b x + 4a b
--R Type: Union(Expression(Integer),...)
---E 721
+--E 721
---S 722 of 1092
+--S 722 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 722
+--E 722
---S 723 of 1092
+--S 723 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 723
+--E 723
)clear all
---S 724 of 1092
+--S 724 of 1092
t0:=x^2*(c+d*x)^3/(a+b*x)^3
--R
--R
@@ -14490,9 +14401,9 @@ t0:=x^2*(c+d*x)^3/(a+b*x)^3
--R 3 3 2 2 2 3
--R b x + 3a b x + 3a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 724
+--E 724
---S 725 of 1092
+--S 725 of 1092
r0:=3*d*(b*c-2*a*d)*(b*c-a*d)*x/b^5+3/2*d^2*(b*c-a*d)*x^2/b^4+_
1/3*d^3*x^3/b^3-1/2*a^2*(b*c-a*d)^3/(b^6*(a+b*x)^2)+_
a*(2*b*c-5*a*d)*(b*c-a*d)^2/(b^6*(a+b*x))+(b*c-a*d)*_
@@ -14526,9 +14437,9 @@ r0:=3*d*(b*c-2*a*d)*(b*c-a*d)*x/b^5+3/2*d^2*(b*c-a*d)*x^2/b^4+_
--R 8 2 7 2 6
--R 6b x + 12a b x + 6a b
--R Type: Expression(Integer)
---E 725
+--E 725
---S 726 of 1092
+--S 726 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -14559,27 +14470,27 @@ a0:=integrate(t0,x)
--R 8 2 7 2 6
--R 6b x + 12a b x + 6a b
--R Type: Union(Expression(Integer),...)
---E 726
+--E 726
---S 727 of 1092
+--S 727 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 727
+--E 727
---S 728 of 1092
+--S 728 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 728
+--E 728
)clear all
---S 729 of 1092
+--S 729 of 1092
t0:=x*(c+d*x)^3/(a+b*x)^3
--R
--R
@@ -14589,9 +14500,9 @@ t0:=x*(c+d*x)^3/(a+b*x)^3
--R 3 3 2 2 2 3
--R b x + 3a b x + 3a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 729
+--E 729
---S 730 of 1092
+--S 730 of 1092
r0:=3*d^2*(b*c-a*d)*x/b^4+1/2*d^3*x^2/b^3+1/2*a*(b*c-a*d)^3/_
(b^5*(a+b*x)^2)-(b*c-4*a*d)*(b*c-a*d)^2/(b^5*(a+b*x))+_
3*d*(b*c-2*a*d)*(b*c-a*d)*log(a+b*x)/b^5
@@ -14618,9 +14529,9 @@ r0:=3*d^2*(b*c-a*d)*x/b^4+1/2*d^3*x^2/b^3+1/2*a*(b*c-a*d)^3/_
--R 7 2 6 2 5
--R 2b x + 4a b x + 2a b
--R Type: Expression(Integer)
---E 730
+--E 730
---S 731 of 1092
+--S 731 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -14645,27 +14556,27 @@ a0:=integrate(t0,x)
--R 7 2 6 2 5
--R 2b x + 4a b x + 2a b
--R Type: Union(Expression(Integer),...)
---E 731
+--E 731
---S 732 of 1092
+--S 732 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 732
+--E 732
---S 733 of 1092
+--S 733 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 733
+--E 733
)clear all
---S 734 of 1092
+--S 734 of 1092
t0:=(c+d*x)^3/(a+b*x)^3
--R
--R
@@ -14675,9 +14586,9 @@ t0:=(c+d*x)^3/(a+b*x)^3
--R 3 3 2 2 2 3
--R b x + 3a b x + 3a b x + a
--R Type: Fraction(Polynomial(Integer))
---E 734
+--E 734
---S 735 of 1092
+--S 735 of 1092
r0:=d^3*x/b^3-1/2*(b*c-a*d)^3/(b^4*(a+b*x)^2)-3*d*(b*c-a*d)^2/_
(b^4*(a+b*x))+3*d^2*(b*c-a*d)*log(a+b*x)/b^4
--R
@@ -14700,9 +14611,9 @@ r0:=d^3*x/b^3-1/2*(b*c-a*d)^3/(b^4*(a+b*x)^2)-3*d*(b*c-a*d)^2/_
--R 6 2 5 2 4
--R 2b x + 4a b x + 2a b
--R Type: Expression(Integer)
---E 735
+--E 735
---S 736 of 1092
+--S 736 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -14724,27 +14635,27 @@ a0:=integrate(t0,x)
--R 6 2 5 2 4
--R 2b x + 4a b x + 2a b
--R Type: Union(Expression(Integer),...)
---E 736
+--E 736
---S 737 of 1092
+--S 737 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 737
+--E 737
---S 738 of 1092
+--S 738 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 738
+--E 738
)clear all
---S 739 of 1092
+--S 739 of 1092
t0:=(c+d*x)^3/(x*(a+b*x)^3)
--R
--R
@@ -14754,9 +14665,9 @@ t0:=(c+d*x)^3/(x*(a+b*x)^3)
--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 739
+--E 739
---S 740 of 1092
+--S 740 of 1092
r0:=1/2*(b*c-a*d)^3/(a*b^3*(a+b*x)^2)+(b*c-a*d)^2*(b*c+2*a*d)/_
(a^2*b^3*(a+b*x))+c^3*log(x)/a^3-(c^3/a^3-d^3/b^3)*log(a+b*x)
--R
@@ -14776,9 +14687,9 @@ r0:=1/2*(b*c-a*d)^3/(a*b^3*(a+b*x)^2)+(b*c-a*d)^2*(b*c+2*a*d)/_
--R 3 5 2 4 4 5 3
--R 2a b x + 4a b x + 2a b
--R Type: Expression(Integer)
---E 740
+--E 740
---S 741 of 1092
+--S 741 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -14797,27 +14708,27 @@ a0:=integrate(t0,x)
--R 3 5 2 4 4 5 3
--R 2a b x + 4a b x + 2a b
--R Type: Union(Expression(Integer),...)
---E 741
+--E 741
---S 742 of 1092
+--S 742 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 742
+--E 742
---S 743 of 1092
+--S 743 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 743
+--E 743
)clear all
---S 744 of 1092
+--S 744 of 1092
t0:=(c+d*x)^3/(x^2*(a+b*x)^3)
--R
--R
@@ -14827,9 +14738,9 @@ t0:=(c+d*x)^3/(x^2*(a+b*x)^3)
--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 744
+--E 744
---S 745 of 1092
+--S 745 of 1092
r0:=-c^3/(a^3*x)-1/2*(b*c-a*d)^3/(a^2*b^2*(a+b*x)^2)-(b*c-a*d)^2*_
(2*b*c+a*d)/(a^3*b^2*(a+b*x))-3*c^2*(b*c-a*d)*log(x)/a^4+_
3*c^2*(b*c-a*d)*log(a+b*x)/a^4
@@ -14861,9 +14772,9 @@ r0:=-c^3/(a^3*x)-1/2*(b*c-a*d)^3/(a^2*b^2*(a+b*x)^2)-(b*c-a*d)^2*_
--R 4 4 3 5 3 2 6 2
--R 2a b x + 4a b x + 2a b x
--R Type: Expression(Integer)
---E 745
+--E 745
---S 746 of 1092
+--S 746 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -14893,27 +14804,27 @@ a0:=integrate(t0,x)
--R 4 4 3 5 3 2 6 2
--R 2a b x + 4a b x + 2a b x
--R Type: Union(Expression(Integer),...)
---E 746
+--E 746
---S 747 of 1092
+--S 747 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 747
+--E 747
---S 748 of 1092
+--S 748 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 748
+--E 748
)clear all
---S 749 of 1092
+--S 749 of 1092
t0:=(c+d*x)^3/(x^3*(a+b*x)^3)
--R
--R
@@ -14923,9 +14834,9 @@ t0:=(c+d*x)^3/(x^3*(a+b*x)^3)
--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 749
+--E 749
---S 750 of 1092
+--S 750 of 1092
r0:=-1/2*c^3/(a^3*x^2)+3*c^2*(b*c-a*d)/(a^4*x)+1/2*(b*c-a*d)^3/_
(a^3*b*(a+b*x)^2)+3*c*(b*c-a*d)^2/(a^4*(a+b*x))+3*c*(b*c-a*d)*_
(2*b*c-a*d)*log(x)/a^5-3*c*(b*c-a*d)*(2*b*c-a*d)*log(a+b*x)/a^5
@@ -14966,9 +14877,9 @@ r0:=-1/2*c^3/(a^3*x^2)+3*c^2*(b*c-a*d)/(a^4*x)+1/2*(b*c-a*d)^3/_
--R 5 3 4 6 2 3 7 2
--R 2a b x + 4a b x + 2a b x
--R Type: Expression(Integer)
---E 750
+--E 750
---S 751 of 1092
+--S 751 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -15007,27 +14918,27 @@ a0:=integrate(t0,x)
--R 5 3 4 6 2 3 7 2
--R 2a b x + 4a b x + 2a b x
--R Type: Union(Expression(Integer),...)
---E 751
+--E 751
---S 752 of 1092
+--S 752 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 752
+--E 752
---S 753 of 1092
+--S 753 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 753
+--E 753
)clear all
---S 754 of 1092
+--S 754 of 1092
t0:=(c+d*x)^3/(x^4*(a+b*x)^3)
--R
--R
@@ -15037,9 +14948,9 @@ t0:=(c+d*x)^3/(x^4*(a+b*x)^3)
--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 754
+--E 754
---S 755 of 1092
+--S 755 of 1092
r0:=-1/3*c^3/(a^3*x^3)+3/2*c^2*(b*c-a*d)/(a^4*x^2)-3*c*(b*c-a*d)*_
(2*b*c-a*d)/(a^5*x)-1/2*(b*c-a*d)^3/(a^4*(a+b*x)^2)-(b*c-a*d)^2*_
(4*b*c-a*d)/(a^5*(a+b*x))-(b*c-a*d)*(10*b^2*c^2-8*a*b*c*d+a^2*d^2)*_
@@ -15081,9 +14992,9 @@ r0:=-1/3*c^3/(a^3*x^3)+3/2*c^2*(b*c-a*d)/(a^4*x^2)-3*c*(b*c-a*d)*_
--R 6 2 5 7 4 8 3
--R 6a b x + 12a b x + 6a x
--R Type: Expression(Integer)
---E 755
+--E 755
---S 756 of 1092
+--S 756 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -15122,27 +15033,27 @@ a0:=integrate(t0,x)
--R 6 2 5 7 4 8 3
--R 6a b x + 12a b x + 6a x
--R Type: Union(Expression(Integer),...)
---E 756
+--E 756
---S 757 of 1092
+--S 757 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 757
+--E 757
---S 758 of 1092
+--S 758 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 758
+--E 758
)clear all
---S 759 of 1092
+--S 759 of 1092
t0:=x^7/((a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -15159,9 +15070,9 @@ t0:=x^7/((a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 3 3
--R (3a c d + 3a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 759
+--E 759
---S 760 of 1092
+--S 760 of 1092
r0:=-3*(b*c+a*d)*x/(b^4*d^4)+1/2*x^2/(b^3*d^3)+1/2*a^7/(b^5*(b*c-a*d)^3*_
(a+b*x)^2)-a^6*(7*b*c-4*a*d)/(b^5*(b*c-a*d)^4*(a+b*x))-1/2*c^7/_
(d^5*(b*c-a*d)^3*(c+d*x)^2)+c^6*(4*b*c-7*a*d)/(d^5*(b*c-a*d)^4*(c+d*x))-_
@@ -15292,9 +15203,9 @@ r0:=-3*(b*c+a*d)*x/(b^4*d^4)+1/2*x^2/(b^3*d^3)+1/2*a^7/(b^5*(b*c-a*d)^3*_
--R 7 5 2 10 6 6 3 9 5 7 4 8 4 8 5 7 3 9 6 6 2 10 7 5
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Expression(Integer)
---E 760
+--E 760
---S 761 of 1092
+--S 761 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -15421,27 +15332,27 @@ a0:=integrate(t0,x)
--R 7 5 2 10 6 6 3 9 5 7 4 8 4 8 5 7 3 9 6 6 2 10 7 5
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Union(Expression(Integer),...)
---E 761
+--E 761
---S 762 of 1092
+--S 762 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 762
+--E 762
---S 763 of 1092
+--S 763 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 763
+--E 763
)clear all
---S 764 of 1092
+--S 764 of 1092
t0:=x^6/((a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -15458,9 +15369,9 @@ t0:=x^6/((a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 3 3
--R (3a c d + 3a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 764
+--E 764
---S 765 of 1092
+--S 765 of 1092
r0:=x/(b^3*d^3)-1/2*a^6/(b^4*(b*c-a*d)^3*(a+b*x)^2)+3*a^5*(2*b*c-a*d)/_
(b^4*(b*c-a*d)^4*(a+b*x))+1/2*c^6/(d^4*(b*c-a*d)^3*(c+d*x)^2)-_
3*c^5*(b*c-2*a*d)/(d^4*(b*c-a*d)^4*(c+d*x))+3*a^4*(5*b^2*c^2-_
@@ -15576,9 +15487,9 @@ r0:=x/(b^3*d^3)-1/2*a^6/(b^4*(b*c-a*d)^3*(a+b*x)^2)+3*a^5*(2*b*c-a*d)/_
--R 7 4 2 9 6 5 3 8 5 6 4 7 4 7 5 6 3 8 6 5 2 9 7 4
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Expression(Integer)
---E 765
+--E 765
---S 766 of 1092
+--S 766 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -15690,27 +15601,27 @@ a0:=integrate(t0,x)
--R 7 4 2 9 6 5 3 8 5 6 4 7 4 7 5 6 3 8 6 5 2 9 7 4
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Union(Expression(Integer),...)
---E 766
+--E 766
---S 767 of 1092
+--S 767 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 767
+--E 767
---S 768 of 1092
+--S 768 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 768
+--E 768
)clear all
---S 769 of 1092
+--S 769 of 1092
t0:=x^5/((a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -15727,9 +15638,9 @@ t0:=x^5/((a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 3 3
--R (3a c d + 3a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 769
+--E 769
---S 770 of 1092
+--S 770 of 1092
r0:=1/2*a^5/(b^3*(b*c-a*d)^3*(a+b*x)^2)-a^4*(5*b*c-2*a*d)/_
(b^3*(b*c-a*d)^4*(a+b*x))-1/2*c^5/(d^3*(b*c-a*d)^3*(c+d*x)^2)+_
c^4*(2*b*c-5*a*d)/(d^3*(b*c-a*d)^4*(c+d*x))-a^3*(10*b^2*c^2-_
@@ -15828,9 +15739,9 @@ r0:=1/2*a^5/(b^3*(b*c-a*d)^3*(a+b*x)^2)-a^4*(5*b*c-2*a*d)/_
--R 7 3 2 8 6 4 3 7 5 5 4 6 4 6 5 5 3 7 6 4 2 8 7 3
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Expression(Integer)
---E 770
+--E 770
---S 771 of 1092
+--S 771 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -15925,27 +15836,27 @@ a0:=integrate(t0,x)
--R 7 3 2 8 6 4 3 7 5 5 4 6 4 6 5 5 3 7 6 4 2 8 7 3
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Union(Expression(Integer),...)
---E 771
+--E 771
---S 772 of 1092
+--S 772 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 772
+--E 772
---S 773 of 1092
+--S 773 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 773
+--E 773
)clear all
---S 774 of 1092
+--S 774 of 1092
t0:=x^4/((a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -15962,9 +15873,9 @@ t0:=x^4/((a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 3 3
--R (3a c d + 3a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 774
+--E 774
---S 775 of 1092
+--S 775 of 1092
r0:=-1/2*a^4/(b^2*(b*c-a*d)^3*(a+b*x)^2)+a^3*(4*b*c-a*d)/(b^2*(b*c-a*d)^4*_
(a+b*x))+1/2*c^4/(d^2*(b*c-a*d)^3*(c+d*x)^2)-c^3*(b*c-4*a*d)/_
(d^2*(b*c-a*d)^4*(c+d*x))+6*a^2*c^2*log(a+b*x)/(b*c-a*d)^5-_
@@ -16032,9 +15943,9 @@ r0:=-1/2*a^4/(b^2*(b*c-a*d)^3*(a+b*x)^2)+a^3*(4*b*c-a*d)/(b^2*(b*c-a*d)^4*_
--R 7 2 2 7 6 3 3 6 5 4 4 5 4 5 5 4 3 6 6 3 2 7 7 2
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Expression(Integer)
---E 775
+--E 775
---S 776 of 1092
+--S 776 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -16099,27 +16010,27 @@ a0:=integrate(t0,x)
--R 7 2 2 7 6 3 3 6 5 4 4 5 4 5 5 4 3 6 6 3 2 7 7 2
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Union(Expression(Integer),...)
---E 776
+--E 776
---S 777 of 1092
+--S 777 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 777
+--E 777
---S 778 of 1092
+--S 778 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 778
+--E 778
)clear all
---S 779 of 1092
+--S 779 of 1092
t0:=x^3/((a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -16136,9 +16047,9 @@ t0:=x^3/((a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 3 3
--R (3a c d + 3a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 779
+--E 779
---S 780 of 1092
+--S 780 of 1092
r0:=1/2*a^3/(b*(b*c-a*d)^3*(a+b*x)^2)-3*a^2*c/((b*c-a*d)^4*(a+b*x))-_
1/2*c^3/(d*(b*c-a*d)^3*(c+d*x)^2)-3*a*c^2/((b*c-a*d)^4*(c+d*x))-_
3*a*c*(b*c+a*d)*log(a+b*x)/(b*c-a*d)^5+3*a*c*(b*c+a*d)*log(c+d*x)/_
@@ -16209,9 +16120,9 @@ r0:=1/2*a^3/(b*(b*c-a*d)^3*(a+b*x)^2)-3*a^2*c/((b*c-a*d)^4*(a+b*x))-_
--R 7 2 6 6 2 3 5 5 3 4 4 4 4 5 3 3 5 6 2 2 6 7
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Expression(Integer)
---E 780
+--E 780
---S 781 of 1092
+--S 781 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -16279,27 +16190,27 @@ a0:=integrate(t0,x)
--R 7 2 6 6 2 3 5 5 3 4 4 4 4 5 3 3 5 6 2 2 6 7
--R 2a b c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c d
--R Type: Union(Expression(Integer),...)
---E 781
+--E 781
---S 782 of 1092
+--S 782 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 782
+--E 782
---S 783 of 1092
+--S 783 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 783
+--E 783
)clear all
---S 784 of 1092
+--S 784 of 1092
t0:=x^2/((a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -16316,9 +16227,9 @@ t0:=x^2/((a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 3 3
--R (3a c d + 3a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 784
+--E 784
---S 785 of 1092
+--S 785 of 1092
r0:=-1/2*a^2/((b*c-a*d)^3*(a+b*x)^2)+a*(2*b*c+a*d)/((b*c-a*d)^4*(a+b*x))+_
1/2*c^2/((b*c-a*d)^3*(c+d*x)^2)+c*(b*c+2*a*d)/((b*c-a*d)^4*(c+d*x))+_
(b^2*c^2+4*a*b*c*d+a^2*d^2)*log(a+b*x)/(b*c-a*d)^5-(b^2*c^2+4*a*b*c*d+_
@@ -16390,9 +16301,9 @@ r0:=-1/2*a^2/((b*c-a*d)^3*(a+b*x)^2)+a*(2*b*c+a*d)/((b*c-a*d)^4*(a+b*x))+_
--R 7 2 5 6 3 4 5 2 4 3 4 3 5 2 3 4 6 2 5 7
--R 2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c
--R Type: Expression(Integer)
---E 785
+--E 785
---S 786 of 1092
+--S 786 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -16461,27 +16372,27 @@ a0:=integrate(t0,x)
--R 7 2 5 6 3 4 5 2 4 3 4 3 5 2 3 4 6 2 5 7
--R 2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c
--R Type: Union(Expression(Integer),...)
---E 786
+--E 786
---S 787 of 1092
+--S 787 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 787
+--E 787
---S 788 of 1092
+--S 788 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 788
+--E 788
)clear all
---S 789 of 1092
+--S 789 of 1092
t0:=x/((a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -16497,9 +16408,9 @@ t0:=x/((a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 3 3
--R (3a c d + 3a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 789
+--E 789
---S 790 of 1092
+--S 790 of 1092
r0:=1/2*a*b/((b*c-a*d)^3*(a+b*x)^2)-b*(b*c+2*a*d)/((b*c-a*d)^4*(a+b*x))-_
1/2*c*d/((b*c-a*d)^3*(c+d*x)^2)-d*(2*b*c+a*d)/((b*c-a*d)^4*(c+d*x))-_
3*b*d*(b*c+a*d)*log(a+b*x)/(b*c-a*d)^5+3*b*d*(b*c+a*d)*_
@@ -16559,9 +16470,9 @@ r0:=1/2*a*b/((b*c-a*d)^3*(a+b*x)^2)-b*(b*c+2*a*d)/((b*c-a*d)^4*(a+b*x))-_
--R 7 2 5 6 3 4 5 2 4 3 4 3 5 2 3 4 6 2 5 7
--R 2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c
--R Type: Expression(Integer)
---E 790
+--E 790
---S 791 of 1092
+--S 791 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -16618,27 +16529,27 @@ a0:=integrate(t0,x)
--R 7 2 5 6 3 4 5 2 4 3 4 3 5 2 3 4 6 2 5 7
--R 2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c
--R Type: Union(Expression(Integer),...)
---E 791
+--E 791
---S 792 of 1092
+--S 792 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 792
+--E 792
---S 793 of 1092
+--S 793 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 793
+--E 793
)clear all
---S 794 of 1092
+--S 794 of 1092
t0:=1/((a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -16654,9 +16565,9 @@ t0:=1/((a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 3 3
--R (3a c d + 3a b c )x + a c
--R Type: Fraction(Polynomial(Integer))
---E 794
+--E 794
---S 795 of 1092
+--S 795 of 1092
r0:=-1/2*b^2/((b*c-a*d)^3*(a+b*x)^2)+3*b^2*d/((b*c-a*d)^4*(a+b*x))+_
1/2*d^2/((b*c-a*d)^3*(c+d*x)^2)+3*b*d^2/((b*c-a*d)^4*(c+d*x))+_
6*b^2*d^2*log(a+b*x)/(b*c-a*d)^5-6*b^2*d^2*log(c+d*x)/(b*c-a*d)^5
@@ -16715,9 +16626,9 @@ r0:=-1/2*b^2/((b*c-a*d)^3*(a+b*x)^2)+3*b^2*d/((b*c-a*d)^4*(a+b*x))+_
--R 7 2 5 6 3 4 5 2 4 3 4 3 5 2 3 4 6 2 5 7
--R 2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c
--R Type: Expression(Integer)
---E 795
+--E 795
---S 796 of 1092
+--S 796 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -16774,27 +16685,27 @@ a0:=integrate(t0,x)
--R 7 2 5 6 3 4 5 2 4 3 4 3 5 2 3 4 6 2 5 7
--R 2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c
--R Type: Union(Expression(Integer),...)
---E 796
+--E 796
---S 797 of 1092
+--S 797 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 797
+--E 797
---S 798 of 1092
+--S 798 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 798
+--E 798
)clear all
---S 799 of 1092
+--S 799 of 1092
t0:=1/(x*(a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -16810,9 +16721,9 @@ t0:=1/(x*(a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 2 3 3
--R (3a c d + 3a b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 799
+--E 799
---S 800 of 1092
+--S 800 of 1092
r0:=1/2*b^3/(a*(b*c-a*d)^3*(a+b*x)^2)+b^3*(b*c-4*a*d)/(a^2*(b*c-a*d)^4*_
(a+b*x))-1/2*d^3/(c*(b*c-a*d)^3*(c+d*x)^2)-d^3*(4*b*c-a*d)/_
(c^2*(b*c-a*d)^4*(c+d*x))+log(x)/(a^3*c^3)-b^3*(b^2*c^2-_
@@ -16946,9 +16857,9 @@ r0:=1/2*b^3/(a*(b*c-a*d)^3*(a+b*x)^2)+b^3*(b*c-4*a*d)/(a^2*(b*c-a*d)^4*_
--R 10 5 5 9 6 4 8 2 7 3 7 3 8 2 6 4 9 5 5 10
--R 2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c
--R Type: Expression(Integer)
---E 800
+--E 800
---S 801 of 1092
+--S 801 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -17078,27 +16989,27 @@ a0:=integrate(t0,x)
--R 10 5 5 9 6 4 8 2 7 3 7 3 8 2 6 4 9 5 5 10
--R 2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c
--R Type: Union(Expression(Integer),...)
---E 801
+--E 801
---S 802 of 1092
+--S 802 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 802
+--E 802
---S 803 of 1092
+--S 803 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 803
+--E 803
)clear all
---S 804 of 1092
+--S 804 of 1092
t0:=1/(x^2*(a+b*x)^3*(c+d*x)^3)
--R
--R
@@ -17114,9 +17025,9 @@ t0:=1/(x^2*(a+b*x)^3*(c+d*x)^3)
--R 3 2 2 3 3 3 3 2
--R (3a c d + 3a b c )x + a c x
--R Type: Fraction(Polynomial(Integer))
---E 804
+--E 804
---S 805 of 1092
+--S 805 of 1092
r0:=(-1)/(a^3*c^3*x)-1/2*b^4/(a^2*(b*c-a*d)^3*(a+b*x)^2)-b^4*(2*b*c-5*a*d)/_
(a^3*(b*c-a*d)^4*(a+b*x))+1/2*d^4/(c^2*(b*c-a*d)^3*_
(c+d*x)^2)+d^4*(5*b*c-2*a*d)/(c^3*(b*c-a*d)^4*(c+d*x))-_
@@ -17278,9 +17189,9 @@ r0:=(-1)/(a^3*c^3*x)-1/2*b^4/(a^2*(b*c-a*d)^3*(a+b*x)^2)-b^4*(2*b*c-5*a*d)/_
--R 11 6 5 10 7 4 9 2 8 3 8 3 9 2 7 4 10 6 5 11
--R (2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c )x
--R Type: Expression(Integer)
---E 805
+--E 805
---S 806 of 1092
+--S 806 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -17437,27 +17348,27 @@ a0:=integrate(t0,x)
--R 11 6 5 10 7 4 9 2 8 3 8 3 9 2 7 4 10 6 5 11
--R (2a c d - 10a b c d + 20a b c d - 20a b c d + 10a b c d - 2a b c )x
--R Type: Union(Expression(Integer),...)
---E 806
+--E 806
---S 807 of 1092
+--S 807 of 1092
m0:=a0-r0
--R
--R
--R (4) 0
--R Type: Expression(Integer)
---E 807
+--E 807
---S 808 of 1092
+--S 808 of 1092
d0:=D(m0,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 808
+--E 808
)clear all
---S 809 of 1092
+--S 809 of 1092
t0:=(a+b*x)^2/(x^2*sqrt(c+d*x))
--R
--R
@@ -17467,9 +17378,9 @@ t0:=(a+b*x)^2/(x^2*sqrt(c+d*x))
--R 2 +-------+
--R x \|d x + c
--R Type: Expression(Integer)
---E 809
+--E 809
---S 810 of 1092
+--S 810 of 1092
r0:=-a*(4*b*c-a*d)*atanh(sqrt(c+d*x)/sqrt(c))/c^(3/2)+2*b^2*sqrt(c+d*x)/d-_
a^2*sqrt(c+d*x)/(c*x)
--R
@@ -17483,9 +17394,9 @@ r0:=-a*(4*b*c-a*d)*atanh(sqrt(c+d*x)/sqrt(c))/c^(3/2)+2*b^2*sqrt(c+d*x)/d-_
--R +-+
--R c d x\|c
--R Type: Expression(Integer)
---E 810
+--E 810
---S 811 of 1092
+--S 811 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -17510,9 +17421,9 @@ a0:=integrate(t0,x)
--R +---+
--R c d x\|- c
--R Type: Union(List(Expression(Integer)),...)
---E 811
+--E 811
---S 812 of 1092
+--S 812 of 1092
m0a:=a0.1-r0
--R
--R
@@ -17531,17 +17442,17 @@ m0a:=a0.1-r0
--R +-+
--R 2c\|c
--R Type: Expression(Integer)
---E 812
+--E 812
---S 813 of 1092
+--S 813 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 813
+--E 813
---S 814 of 1092
+--S 814 of 1092
m0b:=a0.2-r0
--R
--R
@@ -17560,19 +17471,19 @@ m0b:=a0.2-r0
--R +---+ +-+
--R c\|- c \|c
--R Type: Expression(Integer)
---E 814
+--E 814
---S 815 of 1092
+--S 815 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 815
+--E 815
)clear all
---S 816 of 1092
+--S 816 of 1092
t0:=(c+d*x)^(3/2)/(x^2*(a+b*x)^2)
--R
--R
@@ -17582,9 +17493,9 @@ t0:=(c+d*x)^(3/2)/(x^2*(a+b*x)^2)
--R 2 4 3 2 2
--R b x + 2a b x + a x
--R Type: Expression(Integer)
---E 816
+--E 816
---S 817 of 1092
+--S 817 of 1092
r0:=-(c+d*x)^(3/2)/(a*x*(a+b*x))+(4*b*c-3*a*d)*atanh(sqrt(c+d*x)/sqrt(c))*_
sqrt(c)/a^3-(4*b*c-a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))*_
sqrt(b*c-a*d)/(a^3*sqrt(b))-2*(b*c-a*d)*sqrt(c+d*x)/(a^2*(a+b*x))
@@ -17609,9 +17520,9 @@ r0:=-(c+d*x)^(3/2)/(a*x*(a+b*x))+(4*b*c-3*a*d)*atanh(sqrt(c+d*x)/sqrt(c))*_
--R 3 2 4 +-+
--R (a b x + a x)\|b
--R Type: Expression(Integer)
---E 817
+--E 817
---S 818 of 1092
+--S 818 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -17713,9 +17624,9 @@ a0:=integrate(t0,x)
--R a b x + a x
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 818
+--E 818
---S 819 of 1092
+--S 819 of 1092
m0a:=a0.1-r0
--R
--R
@@ -17752,17 +17663,17 @@ m0a:=a0.1-r0
--R 3 +-+
--R 2a \|b
--R Type: Expression(Integer)
---E 819
+--E 819
---S 820 of 1092
+--S 820 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 820
+--E 820
---S 821 of 1092
+--S 821 of 1092
m0b:=a0.2-r0
--R
--R
@@ -17795,19 +17706,19 @@ m0b:=a0.2-r0
--R 3 +-+
--R 2a \|b
--R Type: Expression(Integer)
---E 821
+--E 821
---S 822 of 1092
+--S 822 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 822
+--E 822
)clear all
---S 823 of 1092
+--S 823 of 1092
t0:=(c+d*x)^(1/2)/(x^2*(a+b*x)^2)
--R
--R
@@ -17817,9 +17728,9 @@ t0:=(c+d*x)^(1/2)/(x^2*(a+b*x)^2)
--R 2 4 3 2 2
--R b x + 2a b x + a x
--R Type: Expression(Integer)
---E 823
+--E 823
---S 824 of 1092
+--S 824 of 1092
r0:=(4*b*c-a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*sqrt(c))-(4*b*c-3*a*d)*_
atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))*sqrt(b)/(a^3*sqrt(b*c-a*d))-_
2*b*sqrt(c+d*x)/(a^2*(a+b*x))-sqrt(c+d*x)/(a*x*(a+b*x))
@@ -17844,9 +17755,9 @@ r0:=(4*b*c-a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*sqrt(c))-(4*b*c-3*a*d)*_
--R 3 2 4 +-----------+ +-+
--R (a b x + a x)\|- a d + b c \|c
--R Type: Expression(Integer)
---E 824
+--E 824
---S 825 of 1092
+--S 825 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -17956,9 +17867,9 @@ a0:=integrate(t0,x)
--R (a b x + a x)\|- c
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 825
+--E 825
---S 826 of 1092
+--S 826 of 1092
m0a:=a0.1-r0
--R
--R
@@ -17995,17 +17906,17 @@ m0a:=a0.1-r0
--R 3 +-----------+ +-+
--R 2a \|- a d + b c \|c
--R Type: Expression(Integer)
---E 826
+--E 826
---S 827 of 1092
+--S 827 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 827
+--E 827
---S 828 of 1092
+--S 828 of 1092
m0b:=a0.2-r0
--R
--R
@@ -18038,19 +17949,19 @@ m0b:=a0.2-r0
--R 3 +-----------+ +-+
--R 2a \|- a d + b c \|c
--R Type: Expression(Integer)
---E 828
+--E 828
---S 829 of 1092
+--S 829 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 829
+--E 829
)clear all
---S 830 of 1092
+--S 830 of 1092
t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(1/2))
--R
--R
@@ -18059,9 +17970,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(1/2))
--R 2 4 3 2 2 +-------+
--R (b x + 2a b x + a x )\|d x + c
--R Type: Expression(Integer)
---E 830
+--E 830
---S 831 of 1092
+--S 831 of 1092
r0:=(4*b*c+a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*c^(3/2))-b^(3/2)*_
(4*b*c-5*a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^3*_
(b*c-a*d)^(3/2))-b*(2*b*c-a*d)*sqrt(c+d*x)/(a^2*c*(b*c-a*d)*(a+b*x))-_
@@ -18093,9 +18004,9 @@ r0:=(4*b*c+a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*c^(3/2))-b^(3/2)*_
--R 4 3 2 2 2 5 4 2 +-----------+ +-+
--R ((a b c d - a b c )x + (a c d - a b c )x)\|- a d + b c \|c
--R Type: Expression(Integer)
---E 831
+--E 831
---S 832 of 1092
+--S 832 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -18211,9 +18122,9 @@ a0:=integrate(t0,x)
--R ((a b c d - a b c )x + (a c d - a b c )x)\|- c
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 832
+--E 832
---S 833 of 1092
+--S 833 of 1092
m0a:=a0.1-r0
--R
--R
@@ -18250,17 +18161,17 @@ m0a:=a0.1-r0
--R 4 3 2 +-----------+ +-+
--R (2a c d - 2a b c )\|- a d + b c \|c
--R Type: Expression(Integer)
---E 833
+--E 833
---S 834 of 1092
+--S 834 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 834
+--E 834
---S 835 of 1092
+--S 835 of 1092
m0b:=a0.2-r0
--R
--R
@@ -18298,19 +18209,19 @@ m0b:=a0.2-r0
--R 4 3 2 +-----------+ +-+
--R (2a c d - 2a b c )\|- a d + b c \|c
--R Type: Expression(Integer)
---E 835
+--E 835
---S 836 of 1092
+--S 836 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 836
+--E 836
)clear all
---S 837 of 1092
+--S 837 of 1092
t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(3/2))
--R
--R
@@ -18319,9 +18230,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(3/2))
--R 2 5 2 4 2 3 2 2 +-------+
--R (b d x + (2a b d + b c)x + (a d + 2a b c)x + a c x )\|d x + c
--R Type: Expression(Integer)
---E 837
+--E 837
---S 838 of 1092
+--S 838 of 1092
r0:=(4*b*c+3*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*c^(5/2))-b^(5/2)*_
(4*b*c-7*a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/_
(a^3*(b*c-a*d)^(5/2))-d*(2*b^2*c^2-2*a*b*c*d+3*a^2*d^2)/_
@@ -18366,9 +18277,9 @@ r0:=(4*b*c+3*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/(a^3*c^(5/2))-b^(5/2)*_
--R +-----------+ +-+ +-------+
--R \|- a d + b c \|c \|d x + c
--R Type: Expression(Integer)
---E 838
+--E 838
---S 839 of 1092
+--S 839 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -18550,9 +18461,9 @@ a0:=integrate(t0,x)
--R \|- c \|d x + c
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 839
+--E 839
---S 840 of 1092
+--S 840 of 1092
m0a:=a0.1-r0
--R
--R
@@ -18592,17 +18503,17 @@ m0a:=a0.1-r0
--R 5 2 2 4 3 3 2 4 +-----------+ +-+
--R (2a c d - 4a b c d + 2a b c )\|- a d + b c \|c
--R Type: Expression(Integer)
---E 840
+--E 840
---S 841 of 1092
+--S 841 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 841
+--E 841
---S 842 of 1092
+--S 842 of 1092
m0b:=a0.2-r0
--R
--R
@@ -18643,19 +18554,19 @@ m0b:=a0.2-r0
--R 5 2 2 4 3 3 2 4 +-----------+ +-+
--R (2a c d - 4a b c d + 2a b c )\|- a d + b c \|c
--R Type: Expression(Integer)
---E 842
+--E 842
---S 843 of 1092
+--S 843 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 843
+--E 843
)clear all
---S 844 of 1092
+--S 844 of 1092
t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(5/2))
--R
--R
@@ -18671,9 +18582,9 @@ t0:=1/(x^2*(a+b*x)^2*(c+d*x)^(5/2))
--R +-------+
--R \|d x + c
--R Type: Expression(Integer)
---E 844
+--E 844
---S 845 of 1092
+--S 845 of 1092
r0:=-1/3*d*(6*b^2*c^2-6*a*b*c*d+5*a^2*d^2)/(a^2*c^2*(b*c-a*d)^2*_
(c+d*x)^(3/2))-b*(2*b*c-a*d)/(a^2*c*(b*c-a*d)*(a+b*x)*(c+d*x)^(3/2))+_
(-1)/(a*c*x*(a+b*x)*(c+d*x)^(3/2))+(4*b*c+5*a*d)*atanh(sqrt(c+d*x)/_
@@ -18737,9 +18648,9 @@ r0:=-1/3*d*(6*b^2*c^2-6*a*b*c*d+5*a^2*d^2)/(a^2*c^2*(b*c-a*d)^2*_
--R +-----------+ +-+ +-------+
--R \|- a d + b c \|c \|d x + c
--R Type: Expression(Integer)
---E 845
+--E 845
---S 846 of 1092
+--S 846 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -19001,9 +18912,9 @@ a0:=integrate(t0,x)
--R \|- c \|d x + c
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 846
+--E 846
---S 847 of 1092
+--S 847 of 1092
m0a:=a0.1-r0
--R
--R
@@ -19046,17 +18957,17 @@ m0a:=a0.1-r0
--R 6 3 3 5 4 2 4 2 5 3 3 6 +-----------+ +-+
--R (2a c d - 6a b c d + 6a b c d - 2a b c )\|- a d + b c \|c
--R Type: Expression(Integer)
---E 847
+--E 847
---S 848 of 1092
+--S 848 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 848
+--E 848
---S 849 of 1092
+--S 849 of 1092
m0b:=a0.2-r0
--R
--R
@@ -19100,19 +19011,19 @@ m0b:=a0.2-r0
--R 6 3 3 5 4 2 4 2 5 3 3 6 +-----------+ +-+
--R (2a c d - 6a b c d + 6a b c d - 2a b c )\|- a d + b c \|c
--R Type: Expression(Integer)
---E 849
+--E 849
---S 850 of 1092
+--S 850 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 850
+--E 850
)clear all
---S 851 of 1092
+--S 851 of 1092
t0:=x^3*(c+d*x)^(5/2)/(a+b*x)
--R
--R
@@ -19121,9 +19032,9 @@ t0:=x^3*(c+d*x)^(5/2)/(a+b*x)
--R (1) ---------------------------------
--R b x + a
--R Type: Expression(Integer)
---E 851
+--E 851
---S 852 of 1092
+--S 852 of 1092
r0:=-2/3*a^3*(b*c-a*d)*(c+d*x)^(3/2)/b^5+2/3465*(40*b^3*c^3+110*a*b^2*c^2*d+_
495*a^2*b*c*d^2-693*a^3*d^3)*(c+d*x)^(5/2)/(b^4*d^3)-2/693*_
(20*b^2*c^2+55*a*b*c*d-99*a^2*d^2)*x*(c+d*x)^(5/2)/(b^3*d^2)+_
@@ -19166,9 +19077,9 @@ r0:=-2/3*a^3*(b*c-a*d)*(c+d*x)^(3/2)/b^5+2/3465*(40*b^3*c^3+110*a*b^2*c^2*d+_
--R 6 3 +-+
--R 3465b d \|b
--R Type: Expression(Integer)
---E 852
+--E 852
---S 853 of 1092
+--S 853 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -19244,9 +19155,9 @@ a0:=integrate(t0,x)
--R 3465b d
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 853
+--E 853
---S 854 of 1092
+--S 854 of 1092
m0a:=a0.1-r0
--R
--R
@@ -19272,17 +19183,17 @@ m0a:=a0.1-r0
--R 6 +-+
--R b \|b
--R Type: Expression(Integer)
---E 854
+--E 854
---S 855 of 1092
+--S 855 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 855
+--E 855
---S 856 of 1092
+--S 856 of 1092
m0b:=a0.2-r0
--R
--R
@@ -19304,19 +19215,19 @@ m0b:=a0.2-r0
--R 6 +-+
--R b \|b
--R Type: Expression(Integer)
---E 856
+--E 856
---S 857 of 1092
+--S 857 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 857
+--E 857
)clear all
---S 858 of 1092
+--S 858 of 1092
t0:=x^2*(c+d*x)^(5/2)/(a+b*x)
--R
--R
@@ -19325,9 +19236,9 @@ t0:=x^2*(c+d*x)^(5/2)/(a+b*x)
--R (1) ---------------------------------
--R b x + a
--R Type: Expression(Integer)
---E 858
+--E 858
---S 859 of 1092
+--S 859 of 1092
r0:=2/3*a^2*(b*c-a*d)*(c+d*x)^(3/2)/b^4+2/5*a^2*(c+d*x)^(5/2)/b^3-_
2/63*(2*b*c+9*a*d)*(c+d*x)^(7/2)/(b^2*d^2)+2/9*x*(c+d*x)^(7/2)/(b*d)-_
2*a^2*(b*c-a*d)^(5/2)*atanh(sqrt(b)*sqrt(c+d*x)/_
@@ -19362,9 +19273,9 @@ r0:=2/3*a^2*(b*c-a*d)*(c+d*x)^(3/2)/b^4+2/5*a^2*(c+d*x)^(5/2)/b^3-_
--R 5 2 +-+
--R 315b d \|b
--R Type: Expression(Integer)
---E 859
+--E 859
---S 860 of 1092
+--S 860 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -19428,9 +19339,9 @@ a0:=integrate(t0,x)
--R 315b d
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 860
+--E 860
---S 861 of 1092
+--S 861 of 1092
m0a:=a0.1-r0
--R
--R
@@ -19456,17 +19367,17 @@ m0a:=a0.1-r0
--R 5 +-+
--R b \|b
--R Type: Expression(Integer)
---E 861
+--E 861
---S 862 of 1092
+--S 862 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 862
+--E 862
---S 863 of 1092
+--S 863 of 1092
m0b:=a0.2-r0
--R
--R
@@ -19488,19 +19399,19 @@ m0b:=a0.2-r0
--R 5 +-+
--R b \|b
--R Type: Expression(Integer)
---E 863
+--E 863
---S 864 of 1092
+--S 864 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 864
+--E 864
)clear all
---S 865 of 1092
+--S 865 of 1092
t0:=x*(c+d*x)^(5/2)/(a+b*x)
--R
--R
@@ -19509,9 +19420,9 @@ t0:=x*(c+d*x)^(5/2)/(a+b*x)
--R (1) --------------------------------
--R b x + a
--R Type: Expression(Integer)
---E 865
+--E 865
---S 866 of 1092
+--S 866 of 1092
r0:=-2/3*a*(b*c-a*d)*(c+d*x)^(3/2)/b^3-2/5*a*(c+d*x)^(5/2)/b^2+_
2/7*(c+d*x)^(7/2)/(b*d)+2*a*(b*c-a*d)^(5/2)*atanh(sqrt(b)*_
sqrt(c+d*x)/sqrt(b*c-a*d))/b^(9/2)-2*a*(b*c-a*d)^2*sqrt(c+d*x)/b^4
@@ -19539,9 +19450,9 @@ r0:=-2/3*a*(b*c-a*d)*(c+d*x)^(3/2)/b^3-2/5*a*(c+d*x)^(5/2)/b^2+_
--R 4 +-+
--R 105b d\|b
--R Type: Expression(Integer)
---E 866
+--E 866
---S 867 of 1092
+--S 867 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -19599,9 +19510,9 @@ a0:=integrate(t0,x)
--R 105b d
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 867
+--E 867
---S 868 of 1092
+--S 868 of 1092
m0a:=a0.1-r0
--R
--R
@@ -19627,17 +19538,17 @@ m0a:=a0.1-r0
--R 4 +-+
--R b \|b
--R Type: Expression(Integer)
---E 868
+--E 868
---S 869 of 1092
+--S 869 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 869
+--E 869
---S 870 of 1092
+--S 870 of 1092
m0b:=a0.2-r0
--R
--R
@@ -19659,19 +19570,19 @@ m0b:=a0.2-r0
--R 4 +-+
--R b \|b
--R Type: Expression(Integer)
---E 870
+--E 870
---S 871 of 1092
+--S 871 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 871
+--E 871
)clear all
---S 872 of 1092
+--S 872 of 1092
t0:=(c+d*x)^(5/2)/(a+b*x)
--R
--R
@@ -19680,9 +19591,9 @@ t0:=(c+d*x)^(5/2)/(a+b*x)
--R (1) ------------------------------
--R b x + a
--R Type: Expression(Integer)
---E 872
+--E 872
---S 873 of 1092
+--S 873 of 1092
r0:=2/3*(b*c-a*d)*(c+d*x)^(3/2)/b^2+2/5*(c+d*x)^(5/2)/b-2*(b*c-a*d)^(5/2)*_
atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/b^(7/2)+2*(b*c-a*d)^2*_
sqrt(c+d*x)/b^3
@@ -19704,9 +19615,9 @@ r0:=2/3*(b*c-a*d)*(c+d*x)^(3/2)/b^2+2/5*(c+d*x)^(5/2)/b-2*(b*c-a*d)^(5/2)*_
--R 3 +-+
--R 15b \|b
--R Type: Expression(Integer)
---E 873
+--E 873
---S 874 of 1092
+--S 874 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -19752,9 +19663,9 @@ a0:=integrate(t0,x)
--R 15b
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 874
+--E 874
---S 875 of 1092
+--S 875 of 1092
m0a:=a0.1-r0
--R
--R
@@ -19780,17 +19691,17 @@ m0a:=a0.1-r0
--R 3 +-+
--R b \|b
--R Type: Expression(Integer)
---E 875
+--E 875
---S 876 of 1092
+--S 876 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 876
+--E 876
---S 877 of 1092
+--S 877 of 1092
m0b:=a0.2-r0
--R
--R
@@ -19812,19 +19723,19 @@ m0b:=a0.2-r0
--R 3 +-+
--R b \|b
--R Type: Expression(Integer)
---E 877
+--E 877
---S 878 of 1092
+--S 878 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 878
+--E 878
)clear all
---S 879 of 1092
+--S 879 of 1092
t0:=(c+d*x)^(5/2)/(x*(a+b*x))
--R
--R
@@ -19834,9 +19745,9 @@ t0:=(c+d*x)^(5/2)/(x*(a+b*x))
--R 2
--R b x + a x
--R Type: Expression(Integer)
---E 879
+--E 879
---S 880 of 1092
+--S 880 of 1092
r0:=2/3*d*(c+d*x)^(3/2)/b-2*c^(5/2)*atanh(sqrt(c+d*x)/sqrt(c))/a+_
2*(b*c-a*d)^(5/2)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/_
(a*b^(5/2))+2*d*(2*b*c-a*d)*sqrt(c+d*x)/b^2
@@ -19861,9 +19772,9 @@ r0:=2/3*d*(c+d*x)^(3/2)/b-2*c^(5/2)*atanh(sqrt(c+d*x)/sqrt(c))/a+_
--R 2 +-+
--R 3a b \|b
--R Type: Expression(Integer)
---E 880
+--E 880
---S 881 of 1092
+--S 881 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -19956,9 +19867,9 @@ a0:=integrate(t0,x)
--R 3a b
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 881
+--E 881
---S 882 of 1092
+--S 882 of 1092
m0a:=a0.1-r0
--R
--R
@@ -19995,17 +19906,17 @@ m0a:=a0.1-r0
--R 2 +-+
--R a b \|b
--R Type: Expression(Integer)
---E 882
+--E 882
---S 883 of 1092
+--S 883 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 883
+--E 883
---S 884 of 1092
+--S 884 of 1092
m0b:=a0.2-r0
--R
--R
@@ -20038,19 +19949,19 @@ m0b:=a0.2-r0
--R 2 +-+
--R a b \|b
--R Type: Expression(Integer)
---E 884
+--E 884
---S 885 of 1092
+--S 885 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 885
+--E 885
)clear all
---S 886 of 1092
+--S 886 of 1092
t0:=(c+d*x)^(5/2)/(x^2*(a+b*x))
--R
--R
@@ -20060,9 +19971,9 @@ t0:=(c+d*x)^(5/2)/(x^2*(a+b*x))
--R 3 2
--R b x + a x
--R Type: Expression(Integer)
---E 886
+--E 886
---S 887 of 1092
+--S 887 of 1092
r0:=d*(c+d*x)^(3/2)/a-(c+d*x)^(5/2)/(a*x)+c^(3/2)*(2*b*c-5*a*d)*_
atanh(sqrt(c+d*x)/sqrt(c))/a^2-2*(b*c-a*d)^(5/2)*_
atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^2*b^(3/2))+_
@@ -20088,9 +19999,9 @@ r0:=d*(c+d*x)^(3/2)/a-(c+d*x)^(5/2)/(a*x)+c^(3/2)*(2*b*c-5*a*d)*_
--R 2 +-+
--R a b x\|b
--R Type: Expression(Integer)
---E 887
+--E 887
---S 888 of 1092
+--S 888 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -20183,9 +20094,9 @@ a0:=integrate(t0,x)
--R a b x
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 888
+--E 888
---S 889 of 1092
+--S 889 of 1092
m0a:=a0.1-r0
--R
--R
@@ -20222,17 +20133,17 @@ m0a:=a0.1-r0
--R 2 +-+
--R 2a b\|b
--R Type: Expression(Integer)
---E 889
+--E 889
---S 890 of 1092
+--S 890 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 890
+--E 890
---S 891 of 1092
+--S 891 of 1092
m0b:=a0.2-r0
--R
--R
@@ -20265,19 +20176,19 @@ m0b:=a0.2-r0
--R 2 +-+
--R 2a b\|b
--R Type: Expression(Integer)
---E 891
+--E 891
---S 892 of 1092
+--S 892 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 892
+--E 892
)clear all
---S 893 of 1092
+--S 893 of 1092
t0:=(c+d*x)^(5/2)/(x^3*(a+b*x))
--R
--R
@@ -20287,9 +20198,9 @@ t0:=(c+d*x)^(5/2)/(x^3*(a+b*x))
--R 4 3
--R b x + a x
--R Type: Expression(Integer)
---E 893
+--E 893
---S 894 of 1092
+--S 894 of 1092
r0:=1/4*(4*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x)-1/2*(c+d*x)^(5/2)/(a*x^2)+_
2*(b*c-a*d)^(5/2)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/_
(a^3*sqrt(b))-1/4*(8*b^2*c^2-20*a*b*c*d+15*a^2*d^2)*_
@@ -20316,9 +20227,9 @@ r0:=1/4*(4*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x)-1/2*(c+d*x)^(5/2)/(a*x^2)+_
--R 3 2 +-+
--R 4a x \|b
--R Type: Expression(Integer)
---E 894
+--E 894
---S 895 of 1092
+--S 895 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -20414,9 +20325,9 @@ a0:=integrate(t0,x)
--R 4a x
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 895
+--E 895
---S 896 of 1092
+--S 896 of 1092
m0a:=a0.1-r0
--R
--R
@@ -20453,17 +20364,17 @@ m0a:=a0.1-r0
--R 3 +-+
--R 8a \|b
--R Type: Expression(Integer)
---E 896
+--E 896
---S 897 of 1092
+--S 897 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 897
+--E 897
---S 898 of 1092
+--S 898 of 1092
m0b:=a0.2-r0
--R
--R
@@ -20496,19 +20407,19 @@ m0b:=a0.2-r0
--R 3 +-+
--R 8a \|b
--R Type: Expression(Integer)
---E 898
+--E 898
---S 899 of 1092
+--S 899 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 899
+--E 899
)clear all
---S 900 of 1092
+--S 900 of 1092
t0:=(c+d*x)^(5/2)/(x^4*(a+b*x))
--R
--R
@@ -20518,9 +20429,9 @@ t0:=(c+d*x)^(5/2)/(x^4*(a+b*x))
--R 5 4
--R b x + a x
--R Type: Expression(Integer)
---E 900
+--E 900
---S 901 of 1092
+--S 901 of 1092
r0:=1/12*(6*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x^2)-1/3*(c+d*x)^(5/2)/(a*x^3)-_
2*(b*c-a*d)^(5/2)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))*_
sqrt(b)/a^4+1/8*(16*b^3*c^3-40*a*b^2*c^2*d+30*a^2*b*c*d^2-5*a^3*d^3)*_
@@ -20553,9 +20464,9 @@ r0:=1/12*(6*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x^2)-1/3*(c+d*x)^(5/2)/(a*x^3)-_
--R 4 3 +-+
--R 24a x \|c
--R Type: Expression(Integer)
---E 901
+--E 901
---S 902 of 1092
+--S 902 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -20681,9 +20592,9 @@ a0:=integrate(t0,x)
--R 24a x \|- c
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 902
+--E 902
---S 903 of 1092
+--S 903 of 1092
m0a:=a0.1-r0
--R
--R
@@ -20721,17 +20632,17 @@ m0a:=a0.1-r0
--R 4 +-+
--R 16a \|c
--R Type: Expression(Integer)
---E 903
+--E 903
---S 904 of 1092
+--S 904 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 904
+--E 904
---S 905 of 1092
+--S 905 of 1092
m0b:=a0.2-r0
--R
--R
@@ -20766,19 +20677,19 @@ m0b:=a0.2-r0
--R 4 +-+
--R 16a \|c
--R Type: Expression(Integer)
---E 905
+--E 905
---S 906 of 1092
+--S 906 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 906
+--E 906
)clear all
---S 907 of 1092
+--S 907 of 1092
t0:=x^3*(c+d*x)^(5/2)/(a+b*x)^2
--R
--R
@@ -20788,9 +20699,9 @@ t0:=x^3*(c+d*x)^(5/2)/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Expression(Integer)
---E 907
+--E 907
---S 908 of 1092
+--S 908 of 1092
r0:=1/3*a^2*(6*b*c-11*a*d)*(c+d*x)^(3/2)/b^5-1/315*(20*b^2*c^2+_
180*a*b*c*d-693*a^2*d^2)*(c+d*x)^(5/2)/(b^4*d^2)+_
1/63*(10*b*c-99*a*d)*x*(c+d*x)^(5/2)/(b^3*d)+11/9*x^2*(c+d*x)^(5/2)/_
@@ -20833,9 +20744,9 @@ r0:=1/3*a^2*(6*b*c-11*a*d)*(c+d*x)^(3/2)/b^5-1/315*(20*b^2*c^2+_
--R 7 2 6 2 +-+
--R (315b d x + 315a b d )\|b
--R Type: Expression(Integer)
---E 908
+--E 908
---S 909 of 1092
+--S 909 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -20912,9 +20823,9 @@ a0:=integrate(t0,x)
--R 315b d x + 315a b d
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 909
+--E 909
---S 910 of 1092
+--S 910 of 1092
m0a:=a0.1-r0
--R
--R
@@ -20940,17 +20851,17 @@ m0a:=a0.1-r0
--R 6 +-+
--R 2b \|b
--R Type: Expression(Integer)
---E 910
+--E 910
---S 911 of 1092
+--S 911 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 911
+--E 911
---S 912 of 1092
+--S 912 of 1092
m0b:=a0.2-r0
--R
--R
@@ -20972,19 +20883,19 @@ m0b:=a0.2-r0
--R 6 +-+
--R b \|b
--R Type: Expression(Integer)
---E 912
+--E 912
---S 913 of 1092
+--S 913 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 913
+--E 913
)clear all
---S 914 of 1092
+--S 914 of 1092
t0:=x^2*(c+d*x)^(5/2)/(a+b*x)^2
--R
--R
@@ -20994,9 +20905,9 @@ t0:=x^2*(c+d*x)^(5/2)/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Expression(Integer)
---E 914
+--E 914
---S 915 of 1092
+--S 915 of 1092
r0:=-1/3*a*(4*b*c-9*a*d)*(c+d*x)^(3/2)/b^4-1/5*a*(4*b*c-9*a*d)*_
(c+d*x)^(5/2)/(b^3*(b*c-a*d))+2/7*(c+d*x)^(7/2)/(b^2*d)-_
a^2*(c+d*x)^(7/2)/(b^2*(b*c-a*d)*(a+b*x))+a*(4*b*c-9*a*d)*_
@@ -21035,9 +20946,9 @@ r0:=-1/3*a*(4*b*c-9*a*d)*(c+d*x)^(3/2)/b^4-1/5*a*(4*b*c-9*a*d)*_
--R 6 5 +-+
--R (105b d x + 105a b d)\|b
--R Type: Expression(Integer)
---E 915
+--E 915
---S 916 of 1092
+--S 916 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -21108,9 +21019,9 @@ a0:=integrate(t0,x)
--R 105b d x + 105a b d
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 916
+--E 916
---S 917 of 1092
+--S 917 of 1092
m0a:=a0.1-r0
--R
--R
@@ -21136,17 +21047,17 @@ m0a:=a0.1-r0
--R 5 +-+
--R 2b \|b
--R Type: Expression(Integer)
---E 917
+--E 917
---S 918 of 1092
+--S 918 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 918
+--E 918
---S 919 of 1092
+--S 919 of 1092
m0b:=a0.2-r0
--R
--R
@@ -21168,19 +21079,19 @@ m0b:=a0.2-r0
--R 5 +-+
--R b \|b
--R Type: Expression(Integer)
---E 919
+--E 919
---S 920 of 1092
+--S 920 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 920
+--E 920
)clear all
---S 921 of 1092
+--S 921 of 1092
t0:=x*(c+d*x)^(5/2)/(a+b*x)^2
--R
--R
@@ -21190,9 +21101,9 @@ t0:=x*(c+d*x)^(5/2)/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Expression(Integer)
---E 921
+--E 921
---S 922 of 1092
+--S 922 of 1092
r0:=1/3*(2*b*c-7*a*d)*(c+d*x)^(3/2)/b^3+1/5*(2*b*c-7*a*d)*(c+d*x)^(5/2)/_
(b^2*(b*c-a*d))+a*(c+d*x)^(7/2)/(b*(b*c-a*d)*(a+b*x))-(2*b*c-7*a*d)*_
(b*c-a*d)^(3/2)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/b^(9/2)+_
@@ -21224,9 +21135,9 @@ r0:=1/3*(2*b*c-7*a*d)*(c+d*x)^(3/2)/b^3+1/5*(2*b*c-7*a*d)*(c+d*x)^(5/2)/_
--R 5 4 +-+
--R (15b x + 15a b )\|b
--R Type: Expression(Integer)
---E 922
+--E 922
---S 923 of 1092
+--S 923 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -21285,9 +21196,9 @@ a0:=integrate(t0,x)
--R 15b x + 15a b
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 923
+--E 923
---S 924 of 1092
+--S 924 of 1092
m0a:=a0.1-r0
--R
--R
@@ -21313,17 +21224,17 @@ m0a:=a0.1-r0
--R 4 +-+
--R 2b \|b
--R Type: Expression(Integer)
---E 924
+--E 924
---S 925 of 1092
+--S 925 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 925
+--E 925
---S 926 of 1092
+--S 926 of 1092
m0b:=a0.2-r0
--R
--R
@@ -21345,19 +21256,19 @@ m0b:=a0.2-r0
--R 4 +-+
--R b \|b
--R Type: Expression(Integer)
---E 926
+--E 926
---S 927 of 1092
+--S 927 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 927
+--E 927
)clear all
---S 928 of 1092
+--S 928 of 1092
t0:=(c+d*x)^(5/2)/(a+b*x)^2
--R
--R
@@ -21367,9 +21278,9 @@ t0:=(c+d*x)^(5/2)/(a+b*x)^2
--R 2 2 2
--R b x + 2a b x + a
--R Type: Expression(Integer)
---E 928
+--E 928
---S 929 of 1092
+--S 929 of 1092
r0:=5/3*d*(c+d*x)^(3/2)/b^2-(c+d*x)^(5/2)/(b*(a+b*x))-5*d*(b*c-a*d)^(3/2)*_
atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/b^(7/2)+5*d*(b*c-a*d)*_
sqrt(c+d*x)/b^3
@@ -21394,9 +21305,9 @@ r0:=5/3*d*(c+d*x)^(3/2)/b^2-(c+d*x)^(5/2)/(b*(a+b*x))-5*d*(b*c-a*d)^(3/2)*_
--R 4 3 +-+
--R (3b x + 3a b )\|b
--R Type: Expression(Integer)
---E 929
+--E 929
---S 930 of 1092
+--S 930 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -21447,9 +21358,9 @@ a0:=integrate(t0,x)
--R 3b x + 3a b
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 930
+--E 930
---S 931 of 1092
+--S 931 of 1092
m0a:=a0.1-r0
--R
--R
@@ -21475,17 +21386,17 @@ m0a:=a0.1-r0
--R 3 +-+
--R 2b \|b
--R Type: Expression(Integer)
---E 931
+--E 931
---S 932 of 1092
+--S 932 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 932
+--E 932
---S 933 of 1092
+--S 933 of 1092
m0b:=a0.2-r0
--R
--R
@@ -21507,19 +21418,19 @@ m0b:=a0.2-r0
--R 3 +-+
--R b \|b
--R Type: Expression(Integer)
---E 933
+--E 933
---S 934 of 1092
+--S 934 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 934
+--E 934
)clear all
---S 935 of 1092
+--S 935 of 1092
t0:=(c+d*x)^(5/2)/(x*(a+b*x)^2)
--R
--R
@@ -21529,9 +21440,9 @@ t0:=(c+d*x)^(5/2)/(x*(a+b*x)^2)
--R 2 3 2 2
--R b x + 2a b x + a x
--R Type: Expression(Integer)
---E 935
+--E 935
---S 936 of 1092
+--S 936 of 1092
r0:=-d*(c+d*x)^(3/2)/(a*b)+(c+d*x)^(5/2)/(a*(a+b*x))-2*c^(5/2)*_
atanh(sqrt(c+d*x)/sqrt(c))/a^2+(b*c-a*d)^(3/2)*(2*b*c+3*a*d)*_
atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^2*b^(5/2))-_
@@ -21560,9 +21471,9 @@ r0:=-d*(c+d*x)^(3/2)/(a*b)+(c+d*x)^(5/2)/(a*(a+b*x))-2*c^(5/2)*_
--R 2 3 3 2 +-+
--R (a b x + a b )\|b
--R Type: Expression(Integer)
---E 936
+--E 936
---S 937 of 1092
+--S 937 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -21660,9 +21571,9 @@ a0:=integrate(t0,x)
--R a b x + a b
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 937
+--E 937
---S 938 of 1092
+--S 938 of 1092
m0a:=a0.1-r0
--R
--R
@@ -21699,17 +21610,17 @@ m0a:=a0.1-r0
--R 2 2 +-+
--R 2a b \|b
--R Type: Expression(Integer)
---E 938
+--E 938
---S 939 of 1092
+--S 939 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 939
+--E 939
---S 940 of 1092
+--S 940 of 1092
m0b:=a0.2-r0
--R
--R
@@ -21742,19 +21653,19 @@ m0b:=a0.2-r0
--R 2 2 +-+
--R a b \|b
--R Type: Expression(Integer)
---E 940
+--E 940
---S 941 of 1092
+--S 941 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 941
+--E 941
)clear all
---S 942 of 1092
+--S 942 of 1092
t0:=(c+d*x)^(5/2)/(x^2*(a+b*x)^2)
--R
--R
@@ -21764,9 +21675,9 @@ t0:=(c+d*x)^(5/2)/(x^2*(a+b*x)^2)
--R 2 4 3 2 2
--R b x + 2a b x + a x
--R Type: Expression(Integer)
---E 942
+--E 942
---S 943 of 1092
+--S 943 of 1092
r0a:=c^(3/2)*(4*b*c-5*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/a^3-(b*c-a*d)^(3/2)*_
(4*b*c+a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^3*b^(3/2))-_
c^2*sqrt(c+d*x)/(a^2*x)-(b*c-a*d)^2*sqrt(c+d*x)/(a^2*b*(a+b*x))
@@ -21797,9 +21708,9 @@ r0a:=c^(3/2)*(4*b*c-5*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/a^3-(b*c-a*d)^(3/2)*_
--R 3 2 2 4 +-+
--R (a b x + a b x)\|b
--R Type: Expression(Integer)
---E 943
+--E 943
---S 944 of 1092
+--S 944 of 1092
r0b:=-2*(b*c-a*d)*(c+d*x)^(3/2)/(a^2*(a+b*x))-(c+d*x)^(5/2)/(a*x*(a+b*x))+_
c^(3/2)*(4*b*c-5*a*d)*atanh(sqrt(c+d*x)/sqrt(c))/a^3-(b*c-a*d)^(3/2)*_
(4*b*c+a*d)*atanh(sqrt(b)*sqrt(c+d*x)/sqrt(b*c-a*d))/(a^3*b^(3/2))+_
@@ -21831,9 +21742,9 @@ r0b:=-2*(b*c-a*d)*(c+d*x)^(3/2)/(a^2*(a+b*x))-(c+d*x)^(5/2)/(a*x*(a+b*x))+_
--R 3 2 2 4 +-+
--R (a b x + a b x)\|b
--R Type: Expression(Integer)
---E 944
+--E 944
---S 945 of 1092
+--S 945 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -21943,9 +21854,9 @@ a0:=integrate(t0,x)
--R a b x + a b x
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 945
+--E 945
---S 946 of 1092
+--S 946 of 1092
m0a:=a0.1-r0a
--R
--R
@@ -21982,17 +21893,17 @@ m0a:=a0.1-r0a
--R 3 +-+
--R 2a b\|b
--R Type: Expression(Integer)
---E 946
+--E 946
---S 947 of 1092
+--S 947 of 1092
d0a:=D(m0a,x)
--R
--R
--R (6) 0
--R Type: Expression(Integer)
---E 947
+--E 947
---S 948 of 1092
+--S 948 of 1092
m0b:=a0.1-r0b
--R
--R
@@ -22029,17 +21940,17 @@ m0b:=a0.1-r0b
--R 3 +-+
--R 2a b\|b
--R Type: Expression(Integer)
---E 948
+--E 948
---S 949 of 1092
+--S 949 of 1092
d0b:=D(m0b,x)
--R
--R
--R (8) 0
--R Type: Expression(Integer)
---E 949
+--E 949
---S 950 of 1092
+--S 950 of 1092
m0c:=a0.2-r0a
--R
--R
@@ -22072,17 +21983,17 @@ m0c:=a0.2-r0a
--R 3 +-+
--R 2a b\|b
--R Type: Expression(Integer)
---E 950
+--E 950
---S 951 of 1092
+--S 951 of 1092
d0c:=D(m0c,x)
--R
--R
--R (10) 0
--R Type: Expression(Integer)
---E 951
+--E 951
---S 952 of 1092
+--S 952 of 1092
m0d:=a0.2-r0b
--R
--R
@@ -22115,19 +22026,19 @@ m0d:=a0.2-r0b
--R 3 +-+
--R 2a b\|b
--R Type: Expression(Integer)
---E 952
+--E 952
---S 953 of 1092
+--S 953 of 1092
d0d:=D(m0d,x)
--R
--R
--R (12) 0
--R Type: Expression(Integer)
---E 953
+--E 953
)clear all
---S 954 of 1092
+--S 954 of 1092
t0:=(c+d*x)^(5/2)/(x^3*(a+b*x)^2)
--R
--R
@@ -22137,9 +22048,9 @@ t0:=(c+d*x)^(5/2)/(x^3*(a+b*x)^2)
--R 2 5 4 2 3
--R b x + 2a b x + a x
--R Type: Expression(Integer)
---E 954
+--E 954
---S 955 of 1092
+--S 955 of 1092
r0:=1/4*(6*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x*(a+b*x))-1/2*(c+d*x)^(5/2)/_
(a*x^2*(a+b*x))+(b*c-a*d)^(3/2)*(6*b*c-a*d)*atanh(sqrt(b)*sqrt(c+d*x)/_
sqrt(b*c-a*d))/(a^4*sqrt(b))-1/4*(24*b^2*c^2-40*a*b*c*d+15*a^2*d^2)*_
@@ -22178,9 +22089,9 @@ r0:=1/4*(6*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x*(a+b*x))-1/2*(c+d*x)^(5/2)/_
--R 4 3 5 2 +-+
--R (4a b x + 4a x )\|b
--R Type: Expression(Integer)
---E 955
+--E 955
---S 956 of 1092
+--S 956 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -22314,9 +22225,9 @@ a0:=integrate(t0,x)
--R 4a b x + 4a x
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 956
+--E 956
---S 957 of 1092
+--S 957 of 1092
m0a:=a0.1-r0
--R
--R
@@ -22353,17 +22264,17 @@ m0a:=a0.1-r0
--R 4 +-+
--R 8a \|b
--R Type: Expression(Integer)
---E 957
+--E 957
---S 958 of 1092
+--S 958 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 958
+--E 958
---S 959 of 1092
+--S 959 of 1092
m0b:=a0.2-r0
--R
--R
@@ -22396,19 +22307,19 @@ m0b:=a0.2-r0
--R 4 +-+
--R 8a \|b
--R Type: Expression(Integer)
---E 959
+--E 959
---S 960 of 1092
+--S 960 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 960
+--E 960
)clear all
---S 961 of 1092
+--S 961 of 1092
t0:=(c+d*x)^(5/2)/(x^4*(a+b*x)^2)
--R
--R
@@ -22418,9 +22329,9 @@ t0:=(c+d*x)^(5/2)/(x^4*(a+b*x)^2)
--R 2 6 5 2 4
--R b x + 2a b x + a x
--R Type: Expression(Integer)
---E 961
+--E 961
---S 962 of 1092
+--S 962 of 1092
r0:=1/12*(8*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x^2*(a+b*x))-1/3*(c+d*x)^(5/2)/_
(a*x^3*(a+b*x))-(8*b*c-3*a*d)*(b*c-a*d)^(3/2)*atanh(sqrt(b)*_
sqrt(c+d*x)/sqrt(b*c-a*d))*sqrt(b)/a^5+1/8*(64*b^3*c^3-_
@@ -22467,9 +22378,9 @@ r0:=1/12*(8*b*c-5*a*d)*(c+d*x)^(3/2)/(a^2*x^2*(a+b*x))-1/3*(c+d*x)^(5/2)/_
--R 5 4 6 3 +-+
--R (24a b x + 24a x )\|c
--R Type: Expression(Integer)
---E 962
+--E 962
---S 963 of 1092
+--S 963 of 1092
a0:=integrate(t0,x)
--R
--R
@@ -22635,9 +22546,9 @@ a0:=integrate(t0,x)
--R (24a b x + 24a x )\|- c
--R ]
--R Type: Union(List(Expression(Integer)),...)
---E 963
+--E 963
---S 964 of 1092
+--S 964 of 1092
m0a:=a0.1-r0
--R
--R
@@ -22678,17 +22589,17 @@ m0a:=a0.1-r0
--R 5 +-+
--R 16a \|c
--R Type: Expression(Integer)
---E 964
+--E 964
---S 965 of 1092
+--S 965 of 1092
d0a:=D(m0a,x)
--R
--R
--R (5) 0
--R Type: Expression(Integer)
---E 965
+--E 965
---S 966 of 1092
+--S 966 of 1092
m0b:=a0.2-r0
--R
--R
@@ -22726,28 +22637,28 @@ m0b:=a0.2-r0
--R 5 +-+
--R 16a \|c
--R Type: Expression(Integer)
---E 966
+--E 966
---S 967 of 1092
+--S 967 of 1092
d0b:=D(m0b,x)
--R
--R
--R (7) 0
--R Type: Expression(Integer)
---E 967
+--E 967
)clear all
---S 968 of 1092
+--S 968 of 1092
t0:=x^3*sqrt(a+b*x)*sqrt(c+d*x)
--R
--R
--R 3 +-------+ +-------+
--R (1) x \|b x + a \|d x + c
--R Type: Expression(Integer)
---E 968
+--E 968
---S 969 of 1092
+--S 969 of 1092
r0:=1/128*(b*c-a*d)^2*(b*c+a*d)*(7*b^2*c^2+2*a*b*c*d+7*a^2*d^2)*_
atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(9/2)*d^(9/2))-_
1/960*(105*b^3*c^3-5*a*b^2*c^2*d-17*a^2*b*c*d^2-35*a^3*d^3)*_
@@ -22786,32 +22697,32 @@ r0:=1/128*(b*c-a*d)^2*(b*c+a*d)*(7*b^2*c^2+2*a*b*c*d+7*a^2*d^2)*_
--R 4 4 +-+ +-+
--R 1920b d \|b \|d
--R Type: Expression(Integer)
---E 969
+--E 969
---S 970 of 1092
+--S 970 of 1092
--a0:=integrate(t0,x)
---E 970
+--E 970
---S 971 of 1092
+--S 971 of 1092
--m0:=a0-r0
---E 971
+--E 971
---S 972 of 1092
+--S 972 of 1092
--d0:=D(m0,x)
---E 972
+--E 972
)clear all
---S 973 of 1092
+--S 973 of 1092
t0:=x^2*sqrt(a+b*x)*sqrt(c+d*x)
--R
--R
--R 2 +-------+ +-------+
--R (1) x \|b x + a \|d x + c
--R Type: Expression(Integer)
---E 973
+--E 973
---S 974 of 1092
+--S 974 of 1092
r0:=-5/24*(b*c+a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^2*d^2)+1/4*x*_
(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b*d)+1/64*(b*c-a*d)^2*_
(4*a*b*c*d-5*(b*c+a*d)^2)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*_
@@ -22845,32 +22756,32 @@ r0:=-5/24*(b*c+a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^2*d^2)+1/4*x*_
--R 3 3 +-+ +-+
--R 192b d \|b \|d
--R Type: Expression(Integer)
---E 974
+--E 974
---S 975 of 1092
+--S 975 of 1092
--a0:=integrate(t0,x)
---E 975
+--E 975
---S 976 of 1092
+--S 976 of 1092
--m0:=a0-r0
---E 976
+--E 976
---S 977 of 1092
+--S 977 of 1092
--d0:=D(m0,x)
---E 977
+--E 977
)clear all
---S 978 of 1092
+--S 978 of 1092
t0:=x*sqrt(a+b*x)*sqrt(c+d*x)
--R
--R
--R +-------+ +-------+
--R (1) x\|b x + a \|d x + c
--R Type: Expression(Integer)
---E 978
+--E 978
---S 979 of 1092
+--S 979 of 1092
r0:=1/3*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b*d)+1/8*(b*c-a*d)^2*(b*c+a*d)*_
atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(5/2)*d^(5/2))-_
1/4*(b*c+a*d)*(a+b*x)^(3/2)*sqrt(c+d*x)/(b^2*d)+1/8*_
@@ -22893,32 +22804,32 @@ r0:=1/3*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b*d)+1/8*(b*c-a*d)^2*(b*c+a*d)*_
--R 2 2 +-+ +-+
--R 24b d \|b \|d
--R Type: Expression(Integer)
---E 979
+--E 979
---S 980 of 1092
+--S 980 of 1092
--a0:=integrate(t0,x)
---E 980
+--E 980
---S 981 of 1092
+--S 981 of 1092
--m0:=a0-r0
---E 981
+--E 981
---S 982 of 1092
+--S 982 of 1092
--d0:=D(m0,x)
---E 982
+--E 982
)clear all
---S 983 of 1092
+--S 983 of 1092
t0:=sqrt(a+b*x)*sqrt(c+d*x)
--R
--R
--R +-------+ +-------+
--R (1) \|b x + a \|d x + c
--R Type: Expression(Integer)
---E 983
+--E 983
---S 984 of 1092
+--S 984 of 1092
r0:=-1/4*(b*c-a*d)^2*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
(b^(3/2)*d^(3/2))+1/2*(a+b*x)^(3/2)*sqrt(c+d*x)/b+1/4*(b*c-a*d)*_
sqrt(a+b*x)*sqrt(c+d*x)/(b*d)
@@ -22937,23 +22848,23 @@ r0:=-1/4*(b*c-a*d)^2*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
--R +-+ +-+
--R 4b d\|b \|d
--R Type: Expression(Integer)
---E 984
+--E 984
---S 985 of 1092
+--S 985 of 1092
--a0:=integrate(t0,x)
---E 985
+--E 985
---S 986 of 1092
+--S 986 of 1092
--m0:=a0-r0
---E 986
+--E 986
---S 987 of 1092
+--S 987 of 1092
--d0:=D(m0,x)
---E 987
+--E 987
)clear all
---S 988 of 1092
+--S 988 of 1092
t0:=sqrt(a+b*x)*sqrt(c+d*x)/x
--R
--R
@@ -22962,9 +22873,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x
--R (1) --------------------
--R x
--R Type: Expression(Integer)
---E 988
+--E 988
---S 989 of 1092
+--S 989 of 1092
r0:=-2*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(a)*sqrt(c)+_
(b*c+a*d)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
(sqrt(b)*sqrt(d))+sqrt(a+b*x)*sqrt(c+d*x)
@@ -22983,23 +22894,23 @@ r0:=-2*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(a)*sqrt(c)+_
--R +-+ +-+
--R \|b \|d
--R Type: Expression(Integer)
---E 989
+--E 989
---S 990 of 1092 (non-algebraic residues)
+--S 990 of 1092 (non-algebraic residues)
--a0:=integrate(t0,x)
---E 990
+--E 990
---S 991 of 1092
+--S 991 of 1092
--m0:=a0-r0
---E 991
+--E 991
---S 992 of 1092
+--S 992 of 1092
--d0:=D(m0,x)
---E 992
+--E 992
)clear all
---S 993 of 1092
+--S 993 of 1092
t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^2
--R
--R
@@ -23009,9 +22920,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^2
--R 2
--R x
--R Type: Expression(Integer)
---E 993
+--E 993
---S 994 of 1092
+--S 994 of 1092
r0:=-(b*c+a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
(sqrt(a)*sqrt(c))+2*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))*_
sqrt(b)*sqrt(d)-sqrt(a+b*x)*sqrt(c+d*x)/x
@@ -23033,23 +22944,23 @@ r0:=-(b*c+a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
--R +-+ +-+
--R x\|a \|c
--R Type: Expression(Integer)
---E 994
+--E 994
---S 995 of 1092
+--S 995 of 1092
--a0:=integrate(t0,x)
---E 995
+--E 995
---S 996 of 1092
+--S 996 of 1092
--m0:=a0-r0
---E 996
+--E 996
---S 997 of 1092
+--S 997 of 1092
--d0:=D(m0,x)
---E 997
+--E 997
)clear all
---S 998 of 1092
+--S 998 of 1092
t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^3
--R
--R
@@ -23059,9 +22970,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^3
--R 3
--R x
--R Type: Expression(Integer)
---E 998
+--E 998
---S 999 of 1092
+--S 999 of 1092
r0:=1/4*(b*c-a*d)^2*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
(a^(3/2)*c^(3/2))-1/2*(c+d*x)^(3/2)*sqrt(a+b*x)/(c*x^2)-_
1/4*(b*c-a*d)*sqrt(a+b*x)*sqrt(c+d*x)/(a*c*x)
@@ -23080,23 +22991,23 @@ r0:=1/4*(b*c-a*d)^2*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
--R 2 +-+ +-+
--R 4a c x \|a \|c
--R Type: Expression(Integer)
---E 999
+--E 999
---S 1000 of 1092
+--S 1000 of 1092
--a0:=integrate(t0,x)
---E 1000
+--E 1000
---S 1001 of 1092
+--S 1001 of 1092
--m0:=a0-r0
---E 1001
+--E 1001
---S 1002 of 1092
+--S 1002 of 1092
--d0:=D(m0,x)
---E 1002
+--E 1002
)clear all
---S 1003 of 1092
+--S 1003 of 1092
t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^4
--R
--R
@@ -23106,9 +23017,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^4
--R 4
--R x
--R Type: Expression(Integer)
---E 1003
+--E 1003
---S 1004 of 1092
+--S 1004 of 1092
r0:=-1/8*(b*c-a*d)^2*(b*c+a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*_
sqrt(c+d*x)))/(a^(5/2)*c^(5/2))-1/3*sqrt(a+b*x)*sqrt(c+d*x)/x^3-_
1/12*(b*c+a*d)*sqrt(a+b*x)*sqrt(c+d*x)/(a*c*x^2)+_
@@ -23131,23 +23042,23 @@ r0:=-1/8*(b*c-a*d)^2*(b*c+a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*_
--R 2 2 3 +-+ +-+
--R 24a c x \|a \|c
--R Type: Expression(Integer)
---E 1004
+--E 1004
---S 1005 of 1092
+--S 1005 of 1092
--a0:=integrate(t0,x)
---E 1005
+--E 1005
---S 1006 of 1092
+--S 1006 of 1092
--m0:=a0-r0
---E 1006
+--E 1006
---S 1007 of 1092
+--S 1007 of 1092
--d0:=D(m0,x)
---E 1007
+--E 1007
)clear all
---S 1008 of 1092
+--S 1008 of 1092
t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^5
--R
--R
@@ -23157,9 +23068,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^5
--R 5
--R x
--R Type: Expression(Integer)
---E 1008
+--E 1008
---S 1009 of 1092
+--S 1009 of 1092
r0:=1/64*(b*c-a*d)^2*(5*b^2*c^2+6*a*b*c*d+5*a^2*d^2)*atanh(sqrt(c)*_
sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/(a^(7/2)*c^(7/2))-_
1/4*sqrt(a+b*x)*sqrt(c+d*x)/x^4-1/24*(b*c+a*d)*sqrt(a+b*x)*_
@@ -23190,23 +23101,23 @@ r0:=1/64*(b*c-a*d)^2*(5*b^2*c^2+6*a*b*c*d+5*a^2*d^2)*atanh(sqrt(c)*_
--R 3 3 4 +-+ +-+
--R 192a c x \|a \|c
--R Type: Expression(Integer)
---E 1009
+--E 1009
---S 1010 of 1092
+--S 1010 of 1092
--a0:=integrate(t0,x)
---E 1010
+--E 1010
---S 1011 of 1092
+--S 1011 of 1092
--m0:=a0-r0
---E 1011
+--E 1011
---S 1012 of 1092
+--S 1012 of 1092
--d0:=D(m0,x)
---E 1012
+--E 1012
)clear all
---S 1013 of 1092
+--S 1013 of 1092
t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^6
--R
--R
@@ -23216,9 +23127,9 @@ t0:=sqrt(a+b*x)*sqrt(c+d*x)/x^6
--R 6
--R x
--R Type: Expression(Integer)
---E 1013
+--E 1013
---S 1014 of 1092
+--S 1014 of 1092
r0:=-1/128*(b*c-a*d)^2*(b*c+a*d)*(7*b^2*c^2+2*a*b*c*d+7*a^2*d^2)*_
atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/(a^(9/2)*c^(9/2))-_
1/5*sqrt(a+b*x)*sqrt(c+d*x)/x^5-1/40*(b*c+a*d)*sqrt(a+b*x)*_
@@ -23258,32 +23169,32 @@ r0:=-1/128*(b*c-a*d)^2*(b*c+a*d)*(7*b^2*c^2+2*a*b*c*d+7*a^2*d^2)*_
--R 4 4 5 +-+ +-+
--R 1920a c x \|a \|c
--R Type: Expression(Integer)
---E 1014
+--E 1014
---S 1015 of 1092
+--S 1015 of 1092
--a0:=integrate(t0,x)
---E 1015
+--E 1015
---S 1016 of 1092
+--S 1016 of 1092
--m0:=a0-r0
---E 1016
+--E 1016
---S 1017 of 1092
+--S 1017 of 1092
--d0:=D(m0,x)
---E 1017
+--E 1017
)clear all
---S 1018 of 1092
+--S 1018 of 1092
t0:=x^2*(c+d*x)^(3/2)*sqrt(a+b*x)
--R
--R
--R 3 2 +-------+ +-------+
--R (1) (d x + c x )\|b x + a \|d x + c
--R Type: Expression(Integer)
---E 1018
+--E 1018
---S 1019 of 1092
+--S 1019 of 1092
r0:=1/48*(3*b^2*c^2+6*a*b*c*d+7*a^2*d^2)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/_
(b^3*d^2)-1/40*(5*b*c+7*a*d)*(a+b*x)^(3/2)*(c+d*x)^(5/2)/(b^2*d^2)+_
1/5*x*(a+b*x)^(3/2)*(c+d*x)^(5/2)/(b*d)-1/128*(b*c-a*d)^3*_
@@ -23322,32 +23233,32 @@ r0:=1/48*(3*b^2*c^2+6*a*b*c*d+7*a^2*d^2)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/_
--R 4 3 +-+ +-+
--R 1920b d \|b \|d
--R Type: Expression(Integer)
---E 1019
+--E 1019
---S 1020 of 1092
+--S 1020 of 1092
--a0:=integrate(t0,x)
---E 1020
+--E 1020
---S 1021 of 1092
+--S 1021 of 1092
--m0:=a0-r0
---E 1021
+--E 1021
---S 1022 of 1092
+--S 1022 of 1092
--d0:=D(m0,x)
---E 1022
+--E 1022
)clear all
---S 1023 of 1092
+--S 1023 of 1092
t0:=x*(c+d*x)^(3/2)*sqrt(a+b*x)
--R
--R
--R 2 +-------+ +-------+
--R (1) (d x + c x)\|b x + a \|d x + c
--R Type: Expression(Integer)
---E 1023
+--E 1023
---S 1024 of 1092
+--S 1024 of 1092
r0:=-1/24*(3*b*c+5*a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^2*d)+1/4*_
(a+b*x)^(3/2)*(c+d*x)^(5/2)/(b*d)+1/64*(b*c-a*d)^3*(3*b*c+5*a*d)*_
atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(7/2)*d^(5/2))-_
@@ -23380,32 +23291,32 @@ r0:=-1/24*(3*b*c+5*a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^2*d)+1/4*_
--R 3 2 +-+ +-+
--R 192b d \|b \|d
--R Type: Expression(Integer)
---E 1024
+--E 1024
---S 1025 of 1092
+--S 1025 of 1092
--a0:=integrate(t0,x)
---E 1025
+--E 1025
---S 1026 of 1092
+--S 1026 of 1092
--m0:=a0-r0
---E 1026
+--E 1026
---S 1027 of 1092
+--S 1027 of 1092
--d0:=D(m0,x)
---E 1027
+--E 1027
)clear all
---S 1028 of 1092
+--S 1028 of 1092
t0:=(c+d*x)^(3/2)*sqrt(a+b*x)
--R
--R
--R +-------+ +-------+
--R (1) (d x + c)\|b x + a \|d x + c
--R Type: Expression(Integer)
---E 1028
+--E 1028
---S 1029 of 1092
+--S 1029 of 1092
r0:=1/3*(a+b*x)^(3/2)*(c+d*x)^(3/2)/b-1/8*(b*c-a*d)^3*atanh(sqrt(d)*_
sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(5/2)*d^(3/2))+1/4*(b*c-a*d)*_
(a+b*x)^(3/2)*sqrt(c+d*x)/b^2+1/8*(b*c-a*d)^2*sqrt(a+b*x)*_
@@ -23428,23 +23339,23 @@ r0:=1/3*(a+b*x)^(3/2)*(c+d*x)^(3/2)/b-1/8*(b*c-a*d)^3*atanh(sqrt(d)*_
--R 2 +-+ +-+
--R 24b d\|b \|d
--R Type: Expression(Integer)
---E 1029
+--E 1029
---S 1030 of 1092
+--S 1030 of 1092
--a0:=integrate(t0,x)
---E 1030
+--E 1030
---S 1031 of 1092
+--S 1031 of 1092
--m0:=a0-r0
---E 1031
+--E 1031
---S 1032 of 1092
+--S 1032 of 1092
--d0:=D(m0,x)
---E 1032
+--E 1032
)clear all
---S 1033 of 1092
+--S 1033 of 1092
t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x
--R
--R
@@ -23453,9 +23364,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x
--R (1) -----------------------------
--R x
--R Type: Expression(Integer)
---E 1033
+--E 1033
---S 1034 of 1092
+--S 1034 of 1092
r0:=-2*c^(3/2)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*_
sqrt(a)+1/4*(3*b^2*c^2+6*a*b*c*d-a^2*d^2)*atanh(sqrt(d)*_
sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(3/2)*sqrt(d))+_
@@ -23481,23 +23392,23 @@ r0:=-2*c^(3/2)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*_
--R +-+ +-+
--R 4b\|b \|d
--R Type: Expression(Integer)
---E 1034
+--E 1034
---S 1035 of 1092 (non-algebraic residues)
+--S 1035 of 1092 (non-algebraic residues)
--a0:=integrate(t0,x)
---E 1035
+--E 1035
---S 1036 of 1092
+--S 1036 of 1092
--m0:=a0-r0
---E 1036
+--E 1036
---S 1037 of 1092
+--S 1037 of 1092
--d0:=D(m0,x)
---E 1037
+--E 1037
)clear all
---S 1038 of 1092
+--S 1038 of 1092
t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^2
--R
--R
@@ -23507,9 +23418,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^2
--R 2
--R x
--R Type: Expression(Integer)
---E 1038
+--E 1038
---S 1039 of 1092
+--S 1039 of 1092
r0:=-(b*c+3*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*_
sqrt(c)/sqrt(a)+(3*b*c+a*d)*atanh(sqrt(d)*sqrt(a+b*x)/_
(sqrt(b)*sqrt(c+d*x)))*sqrt(d)/sqrt(b)-(c+d*x)^(3/2)*_
@@ -23535,23 +23446,23 @@ r0:=-(b*c+3*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*_
--R +-+ +-+
--R x\|a \|b
--R Type: Expression(Integer)
---E 1039
+--E 1039
---S 1040 of 1092 (non-algebraic residues)
+--S 1040 of 1092 (non-algebraic residues)
--a0:=integrate(t0,x)
---E 1040
+--E 1040
---S 1041 of 1092
+--S 1041 of 1092
--m0:=a0-r0
---E 1041
+--E 1041
---S 1042 of 1092
+--S 1042 of 1092
--d0:=D(m0,x)
---E 1042
+--E 1042
)clear all
---S 1043 of 1092
+--S 1043 of 1092
t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^3
--R
--R
@@ -23561,9 +23472,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^3
--R 3
--R x
--R Type: Expression(Integer)
---E 1043
+--E 1043
---S 1044 of 1092
+--S 1044 of 1092
r0:=2*d^(3/2)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))*sqrt(b)+_
1/4*(b^2*c^2-6*a*b*c*d-3*a^2*d^2)*atanh(sqrt(c)*_
sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/(a^(3/2)*sqrt(c))-_
@@ -23590,23 +23501,23 @@ r0:=2*d^(3/2)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))*sqrt(b)+_
--R 2 +-+ +-+
--R 4a x \|a \|c
--R Type: Expression(Integer)
---E 1044
+--E 1044
---S 1045 of 1092 (non-algebraic residues)
+--S 1045 of 1092 (non-algebraic residues)
--a0:=integrate(t0,x)
---E 1045
+--E 1045
---S 1046 of 1092
+--S 1046 of 1092
--m0:=a0-r0
---E 1046
+--E 1046
---S 1047 of 1092
+--S 1047 of 1092
--d0:=D(m0,x)
---E 1047
+--E 1047
)clear all
---S 1048 of 1092
+--S 1048 of 1092
t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^4
--R
--R
@@ -23616,9 +23527,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^4
--R 4
--R x
--R Type: Expression(Integer)
---E 1048
+--E 1048
---S 1049 of 1092
+--S 1049 of 1092
r0:=-1/8*(b*c-a*d)^3*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
(a^(5/2)*c^(3/2))-1/12*(b*c-a*d)*(c+d*x)^(3/2)*sqrt(a+b*x)/(a*c*x^2)-_
1/3*(c+d*x)^(5/2)*sqrt(a+b*x)/(c*x^3)+1/8*(b*c-a*d)^2*_
@@ -23641,23 +23552,23 @@ r0:=-1/8*(b*c-a*d)^3*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
--R 2 3 +-+ +-+
--R 24a c x \|a \|c
--R Type: Expression(Integer)
---E 1049
+--E 1049
---S 1050 of 1092
+--S 1050 of 1092
--a0:=integrate(t0,x)
---E 1050
+--E 1050
---S 1051 of 1092
+--S 1051 of 1092
--m0:=a0-r0
---E 1051
+--E 1051
---S 1052 of 1092
+--S 1052 of 1092
--d0:=D(m0,x)
---E 1052
+--E 1052
)clear all
---S 1053 of 1092
+--S 1053 of 1092
t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^5
--R
--R
@@ -23667,9 +23578,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^5
--R 5
--R x
--R Type: Expression(Integer)
---E 1053
+--E 1053
---S 1054 of 1092
+--S 1054 of 1092
r0:=1/64*(b*c-a*d)^3*(5*b*c+3*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*_
sqrt(c+d*x)))/(a^(7/2)*c^(5/2))-1/4*(c+d*x)^(3/2)*_
sqrt(a+b*x)/x^4-1/24*(b*c+3*a*d)*sqrt(a+b*x)*sqrt(c+d*x)/(a*x^3)+_
@@ -23700,23 +23611,23 @@ r0:=1/64*(b*c-a*d)^3*(5*b*c+3*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*_
--R 3 2 4 +-+ +-+
--R 192a c x \|a \|c
--R Type: Expression(Integer)
---E 1054
+--E 1054
---S 1055 of 1092
+--S 1055 of 1092
--a0:=integrate(t0,x)
---E 1055
+--E 1055
---S 1056 of 1092
+--S 1056 of 1092
--m0:=a0-r0
---E 1056
+--E 1056
---S 1057 of 1092
+--S 1057 of 1092
--d0:=D(m0,x)
---E 1057
+--E 1057
)clear all
---S 1058 of 1092
+--S 1058 of 1092
t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^6
--R
--R
@@ -23726,9 +23637,9 @@ t0:=(c+d*x)^(3/2)*sqrt(a+b*x)/x^6
--R 6
--R x
--R Type: Expression(Integer)
---E 1058
+--E 1058
---S 1059 of 1092
+--S 1059 of 1092
r0:=-1/128*(b*c-a*d)^3*(7*b^2*c^2+6*a*b*c*d+3*a^2*d^2)*atanh(sqrt(c)*_
sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/(a^(9/2)*c^(7/2))-_
1/5*(c+d*x)^(3/2)*sqrt(a+b*x)/x^5-1/40*(b*c+3*a*d)*_
@@ -23768,32 +23679,32 @@ r0:=-1/128*(b*c-a*d)^3*(7*b^2*c^2+6*a*b*c*d+3*a^2*d^2)*atanh(sqrt(c)*_
--R 4 3 5 +-+ +-+
--R 1920a c x \|a \|c
--R Type: Expression(Integer)
---E 1059
+--E 1059
---S 1060 of 1092
+--S 1060 of 1092
--a0:=integrate(t0,x)
---E 1060
+--E 1060
---S 1061 of 1092
+--S 1061 of 1092
--m0:=a0-r0
---E 1061
+--E 1061
---S 1062 of 1092
+--S 1062 of 1092
--d0:=D(m0,x)
---E 1062
+--E 1062
)clear all
---S 1063 of 1092
+--S 1063 of 1092
t0:=x^2*(c+d*x)^(5/2)*sqrt(a+b*x)
--R
--R
--R 2 4 3 2 2 +-------+ +-------+
--R (1) (d x + 2c d x + c x )\|b x + a \|d x + c
--R Type: Expression(Integer)
---E 1063
+--E 1063
---S 1064 of 1092
+--S 1064 of 1092
r0:=1/192*(b*c-a*d)*(5*b^2*c^2+14*a*b*c*d+21*a^2*d^2)*(a+b*x)^(3/2)*_
(c+d*x)^(3/2)/(b^4*d^2)+1/160*(5*b^2*c^2+14*a*b*c*d+21*a^2*d^2)*_
(a+b*x)^(3/2)*(c+d*x)^(5/2)/(b^3*d^2)-1/60*(5*b*c+9*a*d)*_
@@ -23840,32 +23751,32 @@ r0:=1/192*(b*c-a*d)*(5*b^2*c^2+14*a*b*c*d+21*a^2*d^2)*(a+b*x)^(3/2)*_
--R 5 3 +-+ +-+
--R 7680b d \|b \|d
--R Type: Expression(Integer)
---E 1064
+--E 1064
---S 1065 of 1092
+--S 1065 of 1092
--a0:=integrate(t0,x)
---E 1065
+--E 1065
---S 1066 of 1092
+--S 1066 of 1092
--m0:=a0-r0
---E 1066
+--E 1066
---S 1067 of 1092
+--S 1067 of 1092
--d0:=D(m0,x)
---E 1067
+--E 1067
)clear all
---S 1068 of 1092
+--S 1068 of 1092
t0:=x*(c+d*x)^(5/2)*sqrt(a+b*x)
--R
--R
--R 2 3 2 2 +-------+ +-------+
--R (1) (d x + 2c d x + c x)\|b x + a \|d x + c
--R Type: Expression(Integer)
---E 1068
+--E 1068
---S 1069 of 1092
+--S 1069 of 1092
r0:=-1/48*(b*c-a*d)*(3*b*c+7*a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^3*d)-_
1/40*(3*b*c+7*a*d)*(a+b*x)^(3/2)*(c+d*x)^(5/2)/(b^2*d)+_
1/5*(a+b*x)^(3/2)*(c+d*x)^(7/2)/(b*d)+1/128*(b*c-a*d)^4*_
@@ -23906,32 +23817,32 @@ r0:=-1/48*(b*c-a*d)*(3*b*c+7*a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/(b^3*d)-_
--R 4 2 +-+ +-+
--R 1920b d \|b \|d
--R Type: Expression(Integer)
---E 1069
+--E 1069
---S 1070 of 1092
+--S 1070 of 1092
--a0:=integrate(t0,x)
---E 1070
+--E 1070
---S 1071 of 1092
+--S 1071 of 1092
--m0:=a0-r0
---E 1071
+--E 1071
---S 1072 of 1092
+--S 1072 of 1092
--d0:=D(m0,x)
---E 1072
+--E 1072
)clear all
---S 1073 of 1092
+--S 1073 of 1092
t0:=(c+d*x)^(5/2)*sqrt(a+b*x)
--R
--R
--R 2 2 2 +-------+ +-------+
--R (1) (d x + 2c d x + c )\|b x + a \|d x + c
--R Type: Expression(Integer)
---E 1073
+--E 1073
---S 1074 of 1092
+--S 1074 of 1092
r0:=5/24*(b*c-a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/b^2+1/4*(a+b*x)^(3/2)*_
(c+d*x)^(5/2)/b-5/64*(b*c-a*d)^4*atanh(sqrt(d)*sqrt(a+b*x)/_
(sqrt(b)*sqrt(c+d*x)))/(b^(7/2)*d^(3/2))+5/32*(b*c-a*d)^2*_
@@ -23964,23 +23875,23 @@ r0:=5/24*(b*c-a*d)*(a+b*x)^(3/2)*(c+d*x)^(3/2)/b^2+1/4*(a+b*x)^(3/2)*_
--R 3 +-+ +-+
--R 192b d\|b \|d
--R Type: Expression(Integer)
---E 1074
+--E 1074
---S 1075 of 1092
+--S 1075 of 1092
--a0:=integrate(t0,x)
---E 1075
+--E 1075
---S 1076 of 1092
+--S 1076 of 1092
--m0:=a0-r0
---E 1076
+--E 1076
---S 1077 of 1092
+--S 1077 of 1092
--d0:=D(m0,x)
---E 1077
+--E 1077
)clear all
---S 1078 of 1092
+--S 1078 of 1092
t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x
--R
--R
@@ -23989,9 +23900,9 @@ t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x
--R (1) ----------------------------------------
--R x
--R Type: Expression(Integer)
---E 1078
+--E 1078
---S 1079 of 1092
+--S 1079 of 1092
r0:=-2*c^(5/2)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(a)+_
1/8*(5*b^3*c^3+15*a*b^2*c^2*d-5*a^2*b*c*d^2+a^3*d^3)*_
atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/(b^(5/2)*sqrt(d))+_
@@ -24021,23 +23932,23 @@ r0:=-2*c^(5/2)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(a)+_
--R 2 +-+ +-+
--R 24b \|b \|d
--R Type: Expression(Integer)
---E 1079
+--E 1079
---S 1080 of 1092 (non-algebraic residues)
+--S 1080 of 1092 (non-algebraic residues)
--a0:=integrate(t0,x)
---E 1080
+--E 1080
---S 1081 of 1092
+--S 1081 of 1092
--m0:=a0-r0
---E 1081
+--E 1081
---S 1082 of 1092
+--S 1082 of 1092
--d0:=D(m0,x)
---E 1082
+--E 1082
)clear all
---S 1083 of 1092
+--S 1083 of 1092
t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x^2
--R
--R
@@ -24047,9 +23958,9 @@ t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x^2
--R 2
--R x
--R Type: Expression(Integer)
---E 1083
+--E 1083
---S 1084 of 1092
+--S 1084 of 1092
r0:=-c^(3/2)*(b*c+5*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
sqrt(a)+1/4*(15*b^2*c^2+10*a*b*c*d-a^2*d^2)*atanh(sqrt(d)*_
sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))*sqrt(d)/b^(3/2)+3/2*d*_
@@ -24076,23 +23987,23 @@ r0:=-c^(3/2)*(b*c+5*a*d)*atanh(sqrt(c)*sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))/_
--R +-+ +-+
--R 4b x\|a \|b
--R Type: Expression(Integer)
---E 1084
+--E 1084
---S 1085 of 1092 (non-algebraic residues)
+--S 1085 of 1092 (non-algebraic residues)
--a0:=integrate(t0,x)
---E 1085
+--E 1085
---S 1086 of 1092
+--S 1086 of 1092
--m0:=a0-r0
---E 1086
+--E 1086
---S 1087 of 1092
+--S 1087 of 1092
--d0:=D(m0,x)
---E 1087
+--E 1087
)clear all
---S 1088 of 1092
+--S 1088 of 1092
t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x^3
--R
--R
@@ -24102,9 +24013,9 @@ t0:=(c+d*x)^(5/2)*sqrt(a+b*x)/x^3
--R 3
--R x
--R Type: Expression(Integer)
---E 1088
+--E 1088
---S 1089 of 1092
+--S 1089 of 1092
r0:=d^(3/2)*(5*b*c+a*d)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
sqrt(b)+1/4*(b^2*c^2-10*a*b*c*d-15*a^2*d^2)*atanh(sqrt(c)*_
sqrt(a+b*x)/(sqrt(a)*sqrt(c+d*x)))*sqrt(c)/a^(3/2)-_
@@ -24132,17 +24043,17 @@ r0:=d^(3/2)*(5*b*c+a*d)*atanh(sqrt(d)*sqrt(a+b*x)/(sqrt(b)*sqrt(c+d*x)))/_
--R 2 +-+ +-+
--R 4a x \|a \|b
--R Type: Expression(Integer)
---E 1089
+--E 1089
---S 1090 of 1092 (non-algebraic residues)
+--S 1090 of 1092 (non-algebraic residues)
--a0:=integrate(t0,x)
---E 1090
+--E 1090
---S 1091 of 1092
+--S 1091 of 1092
--m0:=a0-r0
---E 1091
+--E 1091
---S 1092 of 1092
+--S 1092 of 1092
--d0:=D(m0,x)
--E 1092
diff --git a/src/axiom-website/CATS/rich3a.input.pdf b/src/axiom-website/CATS/rich3a.input.pdf
index 4bb733e..9e0e1fb 100644
Binary files a/src/axiom-website/CATS/rich3a.input.pdf and b/src/axiom-website/CATS/rich3a.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3c.input.pamphlet b/src/axiom-website/CATS/rich3c.input.pamphlet
index 88bdf31..e55f406 100644
--- a/src/axiom-website/CATS/rich3c.input.pamphlet
+++ b/src/axiom-website/CATS/rich3c.input.pamphlet
@@ -4200,7 +4200,7 @@ r0:=sqrt(-1+x)*sqrt(1+x)
--R Type: Expression(Integer)
--E 267
---S 268 of 500
+--S 268 of 500 ok to fail, differs by a constant
a0:=integrate(t0,x)
--R
--R
@@ -4209,7 +4209,7 @@ a0:=integrate(t0,x)
--R Type: Union(Expression(Integer),...)
--E 268
---S 269 of 500
+--S 269 of 500 ok to fail, differs by a constant
m0:=a0-r0
--R
--R
diff --git a/src/axiom-website/CATS/rich3c.input.pdf b/src/axiom-website/CATS/rich3c.input.pdf
index 5182c84..8f08e4b 100644
Binary files a/src/axiom-website/CATS/rich3c.input.pdf and b/src/axiom-website/CATS/rich3c.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3d.input.pamphlet b/src/axiom-website/CATS/rich3d.input.pamphlet
new file mode 100644
index 0000000..12ebaa2
--- /dev/null
+++ b/src/axiom-website/CATS/rich3d.input.pamphlet
@@ -0,0 +1,5940 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input rich3d.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\verb|(a+b x)^m (c+d)^n (e+f x)^p|
+There are:
+\begin{itemize}
+\item 100 integrals in this file.
+\item 100 supplied "optimal results".
+\item 95 matching answers.
+\item 0 cases where Axiom supplied 2 results.
+\item 0 cases that Axiom failed to integrate.
+\item 5 that contain expressions Axiom does not recognize.
+\end{itemize}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f rich3d.output
+)spool rich3d.output
+)set message test on
+)set message auto off
+)clear all
+
+--S 1 of 500
+t0:=(1-%i*x)^(1/6*%i)/((1+%i*x)^(1/6*%i)*x^2)
+--R
+--R
+--R %i
+--R --
+--R 6
+--R (- %i x + 1)
+--R (1) --------------
+--R %i
+--R --
+--R 2 6
+--R x (%i x + 1)
+--R Type: Expression(Complex(Integer))
+--E 1
+
+--S 2 of 500
+--r0:=(-3/37-18/37*%i)*2^(1-1/6*%i)*(1-%i*x)^(1+1/6*%i)*(%i*x)^(-1-1/6*%i)*_
+-- hypergeometric(1/6*%i,1+1/6*%i,2+1/6*%i,1/2*%i*(2-2*%i*x+%i*(%i+x))/x)
+--E 2
+
+--S 3 of 500
+--a0:=integrate(t0,x)
+--E 3
+
+--S 4 of 500
+--m0:=a0-r0
+--E 4
+
+--S 5 of 500
+--d0:=D(m0,x)
+--E 5
+
+)clear all
+
+--S 6 of 500
+t0:=(1-%i*x)^(1/6*%i)/((1+%i*x)^(1/6*%i)*x^3)
+--R
+--R
+--R %i
+--R --
+--R 6
+--R (- %i x + 1)
+--R (1) --------------
+--R %i
+--R --
+--R 3 6
+--R x (%i x + 1)
+--R Type: Expression(Complex(Integer))
+--E 6
+
+--S 7 of 500
+--r0:=(2/37-1/111*%i)*2^(-1-1/6*%i)*(1-%i*x)^(1+1/6*%i)*(3-18*%i+_
+-- 37*x+(3+19*%i)*x^2-2*%i*x^2*_
+-- hypergeometric(1,1+1/6*%i,2+1/6*%i,(%i+x)/(%i-x)))/_
+-- ((%i-x)*x^2*(1+1/2*%i*(%i+x))^(1/6*%i))
+--E 7
+
+--S 8 of 500
+--a0:=integrate(t0,x)
+--E 8
+
+--S 9 of 500
+--m0:=a0-r0
+--E 9
+
+--S 10 of 500
+--d0:=D(m0,x)
+--E 10
+
+)clear all
+
+--S 11 of 500
+t0:=(1-2*x)*(2+3*x)^m*(3+5*x)
+--R
+--R
+--R 2 m
+--R (1) (- 10x - x + 3)(3x + 2)
+--R Type: Expression(Integer)
+--E 11
+
+--S 12 of 500
+r0:=-7/27*(2+3*x)^(1+m)/(1+m)+37/27*(2+3*x)^(2+m)/(2+m)-_
+ 10/27*(2+3*x)^(3+m)/(3+m)
+--R
+--R
+--R (2)
+--R 2 m + 3 2 m + 2
+--R (- 10m - 30m - 20)(3x + 2) + (37m + 148m + 111)(3x + 2)
+--R +
+--R 2 m + 1
+--R (- 7m - 35m - 42)(3x + 2)
+--R /
+--R 3 2
+--R 27m + 162m + 297m + 162
+--R Type: Expression(Integer)
+--E 12
+
+--S 13 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 3 2 2
+--R (- 270m - 810m - 540)x + (- 207m - 288m - 81)x
+--R +
+--R 2 2
+--R (63m + 591m + 486)x + 54m + 282m + 200
+--R *
+--R m log(3x + 2)
+--R %e
+--R /
+--R 3 2
+--R 27m + 162m + 297m + 162
+--R Type: Union(Expression(Integer),...)
+--E 13
+
+--S 14 of 500
+m0:=a0-r0
+--R
+--R
+--R (4)
+--R 2 3 2 2
+--R (- 270m - 810m - 540)x + (- 207m - 288m - 81)x
+--R +
+--R 2 2
+--R (63m + 591m + 486)x + 54m + 282m + 200
+--R *
+--R m log(3x + 2)
+--R %e
+--R +
+--R 2 m + 3 2 m + 2
+--R (10m + 30m + 20)(3x + 2) + (- 37m - 148m - 111)(3x + 2)
+--R +
+--R 2 m + 1
+--R (7m + 35m + 42)(3x + 2)
+--R /
+--R 3 2
+--R 27m + 162m + 297m + 162
+--R Type: Expression(Integer)
+--E 14
+
+--S 15 of 500
+d0:=normalize m0
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 15
+
+)clear all
+
+--S 16 of 500
+t0:=(1-2*x)*(2+3*x)^8*(3+5*x)
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5
+--R - 65610x - 356481x - 831789x - 1065312x - 771120x - 247968x
+--R +
+--R 4 3 2
+--R 62496x + 98304x + 42752x + 8960x + 768
+--R Type: Polynomial(Integer)
+--E 16
+
+--S 17 of 500
+r0:=-7/243*(2+3*x)^9+37/270*(2+3*x)^10-10/297*(2+3*x)^11
+--R
+--R
+--R (2)
+--R 65610 11 356481 10 9 8 7 6
+--R - ----- x - ------ x - 92421x - 133164x - 110160x - 41328x
+--R 11 10
+--R +
+--R 62496 5 4 42752 3 2 756736
+--R ----- x + 24576x + ----- x + 4480x + 768x + ------
+--R 5 3 13365
+--R Type: Polynomial(Fraction(Integer))
+--E 17
+
+--S 18 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 65610 11 356481 10 9 8 7 6
+--R - ----- x - ------ x - 92421x - 133164x - 110160x - 41328x
+--R 11 10
+--R +
+--R 62496 5 4 42752 3 2
+--R ----- x + 24576x + ----- x + 4480x + 768x
+--R 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 18
+
+--S 19 of 500
+m0:=a0-r0
+--R
+--R
+--R 756736
+--R (4) - ------
+--R 13365
+--R Type: Polynomial(Fraction(Integer))
+--E 19
+
+--S 20 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 20
+
+)clear all
+
+--S 21 of 500
+t0:=(1-2*x)*(2+3*x)^7*(3+5*x)
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3
+--R - 21870x - 104247x - 207765x - 216594x - 112644x - 7560x + 25872x
+--R +
+--R 2
+--R 15520x + 3904x + 384
+--R Type: Polynomial(Integer)
+--E 21
+
+--S 22 of 500
+r0:=-7/216*(2+3*x)^8+37/243*(2+3*x)^9-1/27*(2+3*x)^10
+--R
+--R
+--R (2)
+--R 10 9 207765 8 7 6 5 4
+--R - 2187x - 11583x - ------ x - 30942x - 18774x - 1512x + 6468x
+--R 8
+--R +
+--R 15520 3 2 7712
+--R ----- x + 1952x + 384x + ----
+--R 3 243
+--R Type: Polynomial(Fraction(Integer))
+--E 22
+
+--S 23 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 207765 8 7 6 5 4
+--R - 2187x - 11583x - ------ x - 30942x - 18774x - 1512x + 6468x
+--R 8
+--R +
+--R 15520 3 2
+--R ----- x + 1952x + 384x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 23
+
+--S 24 of 500
+m0:=a0-r0
+--R
+--R
+--R 7712
+--R (4) - ----
+--R 243
+--R Type: Polynomial(Fraction(Integer))
+--E 24
+
+--S 25 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 25
+
+)clear all
+
+--S 26 of 500
+t0:=(1-2*x)*(2+3*x)^6*(3+5*x)
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 7290x - 29889x - 49329x - 39312x - 11340x + 5040x + 5264x + 1664x
+--R +
+--R 192
+--R Type: Polynomial(Integer)
+--E 26
+
+--S 27 of 500
+r0:=-1/27*(2+3*x)^7+37/216*(2+3*x)^8-10/243*(2+3*x)^9
+--R
+--R
+--R (2)
+--R 9 29889 8 7 6 5 4 5264 3 2
+--R - 810x - ----- x - 7047x - 6552x - 2268x + 1260x + ---- x + 832x
+--R 8 3
+--R +
+--R 4384
+--R 192x + ----
+--R 243
+--R Type: Polynomial(Fraction(Integer))
+--E 27
+
+--S 28 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 29889 8 7 6 5 4 5264 3 2
+--R - 810x - ----- x - 7047x - 6552x - 2268x + 1260x + ---- x + 832x
+--R 8 3
+--R +
+--R 192x
+--R Type: Polynomial(Fraction(Integer))
+--E 28
+
+--S 29 of 500
+m0:=a0-r0
+--R
+--R
+--R 4384
+--R (4) - ----
+--R 243
+--R Type: Polynomial(Fraction(Integer))
+--E 29
+
+--S 30 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 30
+
+)clear all
+
+--S 31 of 500
+t0:=(1-2*x)*(2+3*x)^5*(3+5*x)
+--R
+--R
+--R 7 6 5 4 3 2
+--R (1) - 2430x - 8343x - 10881x - 5850x + 120x + 1600x + 688x + 96
+--R Type: Polynomial(Integer)
+--E 31
+
+--S 32 of 500
+r0:=96*x+344*x^2+1600/3*x^3+30*x^4-1170*x^5-3627/2*x^6-8343/7*x^7-1215/4*x^8
+--R
+--R
+--R 1215 8 8343 7 3627 6 5 4 1600 3 2
+--R (2) - ---- x - ---- x - ---- x - 1170x + 30x + ---- x + 344x + 96x
+--R 4 7 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 32
+
+--S 33 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 1215 8 8343 7 3627 6 5 4 1600 3 2
+--R (3) - ---- x - ---- x - ---- x - 1170x + 30x + ---- x + 344x + 96x
+--R 4 7 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 33
+
+--S 34 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 34
+
+--S 35 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 35
+
+)clear all
+
+--S 36 of 500
+t0:=(1-2*x)*(2+3*x)^4*(3+5*x)
+--R
+--R
+--R 6 5 4 3 2
+--R (1) - 810x - 2241x - 2133x - 528x + 392x + 272x + 48
+--R Type: Polynomial(Integer)
+--E 36
+
+--S 37 of 500
+r0:=48*x+136*x^2+392/3*x^3-132*x^4-2133/5*x^5-747/2*x^6-810/7*x^7
+--R
+--R
+--R 810 7 747 6 2133 5 4 392 3 2
+--R (2) - --- x - --- x - ---- x - 132x + --- x + 136x + 48x
+--R 7 2 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 37
+
+--S 38 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 810 7 747 6 2133 5 4 392 3 2
+--R (3) - --- x - --- x - ---- x - 132x + --- x + 136x + 48x
+--R 7 2 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 38
+
+--S 39 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 39
+
+--S 40 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 40
+
+)clear all
+
+--S 41 of 500
+t0:=(1-2*x)*(2+3*x)^3*(3+5*x)
+--R
+--R
+--R 5 4 3 2
+--R (1) - 270x - 567x - 333x + 46x + 100x + 24
+--R Type: Polynomial(Integer)
+--E 41
+
+--S 42 of 500
+r0:=24*x+50*x^2+46/3*x^3-333/4*x^4-567/5*x^5-45*x^6
+--R
+--R
+--R 6 567 5 333 4 46 3 2
+--R (2) - 45x - --- x - --- x + -- x + 50x + 24x
+--R 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 42
+
+--S 43 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 6 567 5 333 4 46 3 2
+--R (3) - 45x - --- x - --- x + -- x + 50x + 24x
+--R 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 43
+
+--S 44 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 44
+
+--S 45 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 45
+
+)clear all
+
+--S 46 of 500
+t0:=(1-2*x)*(2+3*x)^2*(3+5*x)
+--R
+--R
+--R 4 3 2
+--R (1) - 90x - 129x - 25x + 32x + 12
+--R Type: Polynomial(Integer)
+--E 46
+
+--S 47 of 500
+r0:=12*x+16*x^2-25/3*x^3-129/4*x^4-18*x^5
+--R
+--R
+--R 5 129 4 25 3 2
+--R (2) - 18x - --- x - -- x + 16x + 12x
+--R 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 47
+
+--S 48 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 129 4 25 3 2
+--R (3) - 18x - --- x - -- x + 16x + 12x
+--R 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 48
+
+--S 49 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 49
+
+--S 50 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 50
+
+)clear all
+
+--S 51 of 500
+t0:=(1-2*x)*(2+3*x)*(3+5*x)
+--R
+--R
+--R 3 2
+--R (1) - 30x - 23x + 7x + 6
+--R Type: Polynomial(Integer)
+--E 51
+
+--S 52 of 500
+r0:=6*x+7/2*x^2-23/3*x^3-15/2*x^4
+--R
+--R
+--R 15 4 23 3 7 2
+--R (2) - -- x - -- x + - x + 6x
+--R 2 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 52
+
+--S 53 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 15 4 23 3 7 2
+--R (3) - -- x - -- x + - x + 6x
+--R 2 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 53
+
+--S 54 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 54
+
+--S 55 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 55
+
+)clear all
+
+--S 56 of 500
+t0:=(1-2*x)*(3+5*x)
+--R
+--R
+--R 2
+--R (1) - 10x - x + 3
+--R Type: Polynomial(Integer)
+--E 56
+
+--S 57 of 500
+r0:=3*x-1/2*x^2-10/3*x^3
+--R
+--R
+--R 10 3 1 2
+--R (2) - -- x - - x + 3x
+--R 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 57
+
+--S 58 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 10 3 1 2
+--R (3) - -- x - - x + 3x
+--R 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 58
+
+--S 59 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 59
+
+--S 60 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 60
+
+)clear all
+
+--S 61 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)
+--R
+--R
+--R 2
+--R - 10x - x + 3
+--R (1) --------------
+--R 3x + 2
+--R Type: Fraction(Polynomial(Integer))
+--E 61
+
+--S 62 of 500
+r0:=17/9*x-5/3*x^2-7/27*log(2+3*x)
+--R
+--R
+--R 2
+--R - 7log(3x + 2) - 45x + 51x
+--R (2) ---------------------------
+--R 27
+--R Type: Expression(Integer)
+--E 62
+
+--S 63 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R - 7log(3x + 2) - 45x + 51x
+--R (3) ---------------------------
+--R 27
+--R Type: Union(Expression(Integer),...)
+--E 63
+
+--S 64 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 64
+
+--S 65 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 65
+
+)clear all
+
+--S 66 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^2
+--R
+--R
+--R 2
+--R - 10x - x + 3
+--R (1) --------------
+--R 2
+--R 9x + 12x + 4
+--R Type: Fraction(Polynomial(Integer))
+--E 66
+
+--S 67 of 500
+r0:=-10/9*x+7/27/(2+3*x)+37/27*log(2+3*x)
+--R
+--R
+--R 2
+--R (111x + 74)log(3x + 2) - 90x - 60x + 7
+--R (2) ---------------------------------------
+--R 81x + 54
+--R Type: Expression(Integer)
+--E 67
+
+--S 68 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R (111x + 74)log(3x + 2) - 90x - 60x + 7
+--R (3) ---------------------------------------
+--R 81x + 54
+--R Type: Union(Expression(Integer),...)
+--E 68
+
+--S 69 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 69
+
+--S 70 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 70
+
+)clear all
+
+--S 71 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^3
+--R
+--R
+--R 2
+--R - 10x - x + 3
+--R (1) ---------------------
+--R 3 2
+--R 27x + 54x + 36x + 8
+--R Type: Fraction(Polynomial(Integer))
+--E 71
+
+--S 72 of 500
+r0:=7/54/(2+3*x)^2+(-37/27)/(2+3*x)-10/27*log(2+3*x)
+--R
+--R
+--R 2
+--R (- 180x - 240x - 80)log(3x + 2) - 222x - 141
+--R (2) ---------------------------------------------
+--R 2
+--R 486x + 648x + 216
+--R Type: Expression(Integer)
+--E 72
+
+--S 73 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R (- 180x - 240x - 80)log(3x + 2) - 222x - 141
+--R (3) ---------------------------------------------
+--R 2
+--R 486x + 648x + 216
+--R Type: Union(Expression(Integer),...)
+--E 73
+
+--S 74 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 74
+
+--S 75 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 75
+
+)clear all
+
+--S 76 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^4
+--R
+--R
+--R 2
+--R - 10x - x + 3
+--R (1) -------------------------------
+--R 4 3 2
+--R 81x + 216x + 216x + 96x + 16
+--R Type: Fraction(Polynomial(Integer))
+--E 76
+
+--S 77 of 500
+r0:=7/81/(2+3*x)^3+(-37/54)/(2+3*x)^2+10/27/(2+3*x)
+--R
+--R
+--R 10 2 43 16
+--R -- x + --- x + ----
+--R 81 486 2187
+--R (2) --------------------
+--R 3 2 4 8
+--R x + 2x + - x + --
+--R 3 27
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 77
+
+--S 78 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R 540x + 387x + 32
+--R (3) ------------------------------
+--R 3 2
+--R 4374x + 8748x + 5832x + 1296
+--R Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 79
+
+--S 80 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 80
+
+)clear all
+
+--S 81 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^5
+--R
+--R
+--R 2
+--R - 10x - x + 3
+--R (1) ------------------------------------------
+--R 5 4 3 2
+--R 243x + 810x + 1080x + 720x + 240x + 32
+--R Type: Fraction(Polynomial(Integer))
+--E 81
+
+--S 82 of 500
+r0:=7/108/(2+3*x)^4+(-37/81)/(2+3*x)^3+5/27/(2+3*x)^2
+--R
+--R
+--R 5 2 23 35
+--R --- x + ---- x - -----
+--R 243 2187 26244
+--R (2) ----------------------------
+--R 4 8 3 8 2 32 16
+--R x + - x + - x + -- x + --
+--R 3 3 27 81
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 82
+
+--S 83 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R 540x + 276x - 35
+--R (3) -------------------------------------------
+--R 4 3 2
+--R 26244x + 69984x + 69984x + 31104x + 5184
+--R Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 84
+
+--S 85 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 85
+
+)clear all
+
+--S 86 of 500
+t0:=(1-2*x)*(3+5*x)/(2+3*x)^6
+--R
+--R
+--R 2
+--R - 10x - x + 3
+--R (1) -----------------------------------------------------
+--R 6 5 4 3 2
+--R 729x + 2916x + 4860x + 4320x + 2160x + 576x + 64
+--R Type: Fraction(Polynomial(Integer))
+--E 86
+
+--S 87 of 500
+r0:=7/135/(2+3*x)^5+(-37/108)/(2+3*x)^4+10/81/(2+3*x)^3
+--R
+--R
+--R 10 2 49 113
+--R ---- x + ----- x - ------
+--R 2187 26244 196830
+--R (2) ---------------------------------------
+--R 5 10 4 40 3 80 2 80 32
+--R x + -- x + -- x + -- x + -- x + ---
+--R 3 9 27 81 243
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 87
+
+--S 88 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R 1800x + 735x - 226
+--R (3) --------------------------------------------------------------
+--R 5 4 3 2
+--R 393660x + 1312200x + 1749600x + 1166400x + 388800x + 51840
+--R Type: Union(Expression(Integer),...)
+--E 88
+
+--S 89 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 89
+
+--S 90 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 90
+
+)clear all
+
+--S 91 of 500
+t0:=(1-2*x)*(2+3*x)^m*(3+5*x)^2
+--R
+--R
+--R 3 2 m
+--R (1) (- 50x - 35x + 12x + 9)(3x + 2)
+--R Type: Expression(Integer)
+--E 91
+
+--S 92 of 500
+r0:=7/81*(2+3*x)^(1+m)/(1+m)-8/9*(2+3*x)^(2+m)/(2+m)+_
+ 65/27*(2+3*x)^(3+m)/(3+m)-50/81*(2+3*x)^(4+m)/(4+m)
+--R
+--R
+--R (2)
+--R 3 2 m + 4
+--R (- 50m - 300m - 550m - 300)(3x + 2)
+--R +
+--R 3 2 m + 3
+--R (195m + 1365m + 2730m + 1560)(3x + 2)
+--R +
+--R 3 2 m + 2
+--R (- 72m - 576m - 1368m - 864)(3x + 2)
+--R +
+--R 3 2 m + 1
+--R (7m + 63m + 182m + 168)(3x + 2)
+--R /
+--R 4 3 2
+--R 81m + 810m + 2835m + 4050m + 1944
+--R Type: Expression(Integer)
+--E 92
+
+--S 93 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2 4
+--R (- 1350m - 8100m - 14850m - 8100)x
+--R +
+--R 3 2 3
+--R (- 1845m - 9315m - 15030m - 7560)x
+--R +
+--R 3 2 2 3 2
+--R (- 306m + 1242m + 5436m + 3888)x + (459m + 4539m + 9870m + 5832)x
+--R +
+--R 3 2
+--R 162m + 1314m + 2644m + 1520
+--R *
+--R m log(3x + 2)
+--R %e
+--R /
+--R 4 3 2
+--R 27m + 270m + 945m + 1350m + 648
+--R Type: Union(Expression(Integer),...)
+--E 93
+
+--S 94 of 500
+m0:=a0-r0
+--R
+--R
+--R (4)
+--R 3 2 4
+--R (- 4050m - 24300m - 44550m - 24300)x
+--R +
+--R 3 2 3
+--R (- 5535m - 27945m - 45090m - 22680)x
+--R +
+--R 3 2 2
+--R (- 918m + 3726m + 16308m + 11664)x
+--R +
+--R 3 2 3 2
+--R (1377m + 13617m + 29610m + 17496)x + 486m + 3942m + 7932m + 4560
+--R *
+--R m log(3x + 2)
+--R %e
+--R +
+--R 3 2 m + 4
+--R (50m + 300m + 550m + 300)(3x + 2)
+--R +
+--R 3 2 m + 3
+--R (- 195m - 1365m - 2730m - 1560)(3x + 2)
+--R +
+--R 3 2 m + 2
+--R (72m + 576m + 1368m + 864)(3x + 2)
+--R +
+--R 3 2 m + 1
+--R (- 7m - 63m - 182m - 168)(3x + 2)
+--R /
+--R 4 3 2
+--R 81m + 810m + 2835m + 4050m + 1944
+--R Type: Expression(Integer)
+--E 94
+
+--S 95 of 500
+d0:=normalize m0
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 95
+
+)clear all
+
+--S 96 of 500
+t0:=(1-2*x)*(2+3*x)^8*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 11 10 9 8 7 6
+--R - 328050x - 1979235x - 5228388x - 7821927x - 7051536x - 3553200x
+--R +
+--R 5 4 3 2
+--R - 431424x + 679008x + 508672x + 173056x + 30720x + 2304
+--R Type: Polynomial(Integer)
+--E 96
+
+--S 97 of 500
+r0:=7/729*(2+3*x)^9-4/45*(2+3*x)^10+65/297*(2+3*x)^11-25/486*(2+3*x)^12
+--R
+--R
+--R (2)
+--R 54675 12 1979235 11 2614194 10 9 8 7
+--R - ----- x - ------- x - ------- x - 869103x - 881442x - 507600x
+--R 2 11 5
+--R +
+--R 6 679008 5 4 173056 3 2 6070784
+--R - 71904x + ------ x + 127168x + ------ x + 15360x + 2304x + -------
+--R 5 3 40095
+--R Type: Polynomial(Fraction(Integer))
+--E 97
+
+--S 98 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 54675 12 1979235 11 2614194 10 9 8 7
+--R - ----- x - ------- x - ------- x - 869103x - 881442x - 507600x
+--R 2 11 5
+--R +
+--R 6 679008 5 4 173056 3 2
+--R - 71904x + ------ x + 127168x + ------ x + 15360x + 2304x
+--R 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 98
+
+--S 99 of 500
+m0:=a0-r0
+--R
+--R
+--R 6070784
+--R (4) - -------
+--R 40095
+--R Type: Polynomial(Fraction(Integer))
+--E 99
+
+--S 100 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 100
+
+)clear all
+
+--S 101 of 500
+t0:=(1-2*x)*(2+3*x)^7*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5
+--R - 109350x - 586845x - 1351566x - 1706265x - 1213002x - 375732x
+--R +
+--R 4 3 2
+--R 106680x + 155216x + 66080x + 13632x + 1152
+--R Type: Polynomial(Integer)
+--E 101
+
+--S 102 of 500
+r0:=7/648*(2+3*x)^8-8/81*(2+3*x)^9+13/54*(2+3*x)^10-50/891*(2+3*x)^11
+--R
+--R
+--R (2)
+--R 109350 11 117369 10 9 1706265 8 7 6
+--R - ------ x - ------ x - 150174x - ------- x - 173286x - 62622x
+--R 11 2 8
+--R +
+--R 5 4 66080 3 2 74656
+--R 21336x + 38804x + ----- x + 6816x + 1152x + -----
+--R 3 891
+--R Type: Polynomial(Fraction(Integer))
+--E 102
+
+--S 103 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 109350 11 117369 10 9 1706265 8 7 6
+--R - ------ x - ------ x - 150174x - ------- x - 173286x - 62622x
+--R 11 2 8
+--R +
+--R 5 4 66080 3 2
+--R 21336x + 38804x + ----- x + 6816x + 1152x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 103
+
+--S 104 of 500
+m0:=a0-r0
+--R
+--R
+--R 74656
+--R (4) - -----
+--R 891
+--R Type: Polynomial(Fraction(Integer))
+--E 104
+
+--S 105 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 105
+
+)clear all
+
+--S 106 of 500
+t0:=(1-2*x)*(2+3*x)^6*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3
+--R - 36450x - 171315x - 336312x - 344547x - 174636x - 8820x + 41440x
+--R +
+--R 2
+--R 24112x + 5952x + 576
+--R Type: Polynomial(Integer)
+--E 106
+
+--S 107 of 500
+r0:=576*x+2976*x^2+24112/3*x^3+10360*x^4-1764*x^5-29106*x^6-_
+ 49221*x^7-42039*x^8-19035*x^9-3645*x^10
+--R
+--R
+--R (2)
+--R 10 9 8 7 6 5 4
+--R - 3645x - 19035x - 42039x - 49221x - 29106x - 1764x + 10360x
+--R +
+--R 24112 3 2
+--R ----- x + 2976x + 576x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 107
+
+--S 108 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 8 7 6 5 4
+--R - 3645x - 19035x - 42039x - 49221x - 29106x - 1764x + 10360x
+--R +
+--R 24112 3 2
+--R ----- x + 2976x + 576x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 108
+
+--S 109 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 109
+
+--S 110 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 110
+
+)clear all
+
+--S 111 of 500
+t0:=(1-2*x)*(2+3*x)^5*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 12150x - 49005x - 79434x - 61893x - 16950x + 8360x + 8240x + 2544x
+--R +
+--R 288
+--R Type: Polynomial(Integer)
+--E 111
+
+--S 112 of 500
+r0:=288*x+1272*x^2+8240/3*x^3+2090*x^4-3390*x^5-20631/2*x^6-79434/7*x^7-_
+ 49005/8*x^8-1350*x^9
+--R
+--R
+--R (2)
+--R 9 49005 8 79434 7 20631 6 5 4 8240 3
+--R - 1350x - ----- x - ----- x - ----- x - 3390x + 2090x + ---- x
+--R 8 7 2 3
+--R +
+--R 2
+--R 1272x + 288x
+--R Type: Polynomial(Fraction(Integer))
+--E 112
+
+--S 113 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 49005 8 79434 7 20631 6 5 4 8240 3
+--R - 1350x - ----- x - ----- x - ----- x - 3390x + 2090x + ---- x
+--R 8 7 2 3
+--R +
+--R 2
+--R 1272x + 288x
+--R Type: Polynomial(Fraction(Integer))
+--E 113
+
+--S 114 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 114
+
+--S 115 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 115
+
+)clear all
+
+--S 116 of 500
+t0:=(1-2*x)*(2+3*x)^4*(3+5*x)^2
+--R
+--R
+--R 7 6 5 4 3 2
+--R (1) - 4050x - 13635x - 17388x - 9039x + 376x + 2536x + 1056x + 144
+--R Type: Polynomial(Integer)
+--E 116
+
+--S 117 of 500
+r0:=144*x+528*x^2+2536/3*x^3+94*x^4-9039/5*x^5-2898*x^6-13635/7*x^7-2025/4*x^8
+--R
+--R
+--R (2)
+--R 2025 8 13635 7 6 9039 5 4 2536 3 2
+--R - ---- x - ----- x - 2898x - ---- x + 94x + ---- x + 528x + 144x
+--R 4 7 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 117
+
+--S 118 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2025 8 13635 7 6 9039 5 4 2536 3 2
+--R - ---- x - ----- x - 2898x - ---- x + 94x + ---- x + 528x + 144x
+--R 4 7 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 118
+
+--S 119 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 119
+
+--S 120 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 120
+
+)clear all
+
+--S 121 of 500
+t0:=(1-2*x)*(2+3*x)^3*(3+5*x)^2
+--R
+--R
+--R 6 5 4 3 2
+--R (1) - 1350x - 3645x - 3366x - 769x + 638x + 420x + 72
+--R Type: Polynomial(Integer)
+--E 121
+
+--S 122 of 500
+r0:=72*x+210*x^2+638/3*x^3-769/4*x^4-3366/5*x^5-1215/2*x^6-1350/7*x^7
+--R
+--R
+--R 1350 7 1215 6 3366 5 769 4 638 3 2
+--R (2) - ---- x - ---- x - ---- x - --- x + --- x + 210x + 72x
+--R 7 2 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 122
+
+--S 123 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 1350 7 1215 6 3366 5 769 4 638 3 2
+--R (3) - ---- x - ---- x - ---- x - --- x + --- x + 210x + 72x
+--R 7 2 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 123
+
+--S 124 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 124
+
+--S 125 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 125
+
+)clear all
+
+--S 126 of 500
+t0:=(1-2*x)*(2+3*x)^2*(3+5*x)^2
+--R
+--R
+--R 5 4 3 2
+--R (1) - 450x - 915x - 512x + 85x + 156x + 36
+--R Type: Polynomial(Integer)
+--E 126
+
+--S 127 of 500
+r0:=36*x+78*x^2+85/3*x^3-128*x^4-183*x^5-75*x^6
+--R
+--R
+--R 6 5 4 85 3 2
+--R (2) - 75x - 183x - 128x + -- x + 78x + 36x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 127
+
+--S 128 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 6 5 4 85 3 2
+--R (3) - 75x - 183x - 128x + -- x + 78x + 36x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 128
+
+--S 129 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 129
+
+--S 130 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 130
+
+)clear all
+
+--S 131 of 500
+t0:=(1-2*x)*(2+3*x)*(3+5*x)^2
+--R
+--R
+--R 4 3 2
+--R (1) - 150x - 205x - 34x + 51x + 18
+--R Type: Polynomial(Integer)
+--E 131
+
+--S 132 of 500
+r0:=18*x+51/2*x^2-34/3*x^3-205/4*x^4-30*x^5
+--R
+--R
+--R 5 205 4 34 3 51 2
+--R (2) - 30x - --- x - -- x + -- x + 18x
+--R 4 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 132
+
+--S 133 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 205 4 34 3 51 2
+--R (3) - 30x - --- x - -- x + -- x + 18x
+--R 4 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 133
+
+--S 134 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 134
+
+--S 135 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 135
+
+)clear all
+
+--S 136 of 500
+t0:=(1-2*x)*(3+5*x)^2
+--R
+--R
+--R 3 2
+--R (1) - 50x - 35x + 12x + 9
+--R Type: Polynomial(Integer)
+--E 136
+
+--S 137 of 500
+r0:=9*x+6*x^2-35/3*x^3-25/2*x^4
+--R
+--R
+--R 25 4 35 3 2
+--R (2) - -- x - -- x + 6x + 9x
+--R 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 137
+
+--S 138 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 25 4 35 3 2
+--R (3) - -- x - -- x + 6x + 9x
+--R 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 138
+
+--S 139 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 139
+
+--S 140 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 140
+
+)clear all
+
+--S 141 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)
+--R
+--R
+--R 3 2
+--R - 50x - 35x + 12x + 9
+--R (1) -----------------------
+--R 3x + 2
+--R Type: Fraction(Polynomial(Integer))
+--E 141
+
+--S 142 of 500
+r0:=118/27*x-5/18*x^2-50/9*x^3+7/81*log(2+3*x)
+--R
+--R
+--R 3 2
+--R 14log(3x + 2) - 900x - 45x + 708x
+--R (2) -----------------------------------
+--R 162
+--R Type: Expression(Integer)
+--E 142
+
+--S 143 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R 14log(3x + 2) - 900x - 45x + 708x
+--R (3) -----------------------------------
+--R 162
+--R Type: Union(Expression(Integer),...)
+--E 143
+
+--S 144 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 144
+
+--S 145 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 145
+
+)clear all
+
+--S 146 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^2
+--R
+--R
+--R 3 2
+--R - 50x - 35x + 12x + 9
+--R (1) -----------------------
+--R 2
+--R 9x + 12x + 4
+--R Type: Fraction(Polynomial(Integer))
+--E 146
+
+--S 147 of 500
+r0:=95/27*x-25/9*x^2+(-7/81)/(2+3*x)-8/9*log(2+3*x)
+--R
+--R
+--R 3 2
+--R (- 216x - 144)log(3x + 2) - 675x + 405x + 570x - 7
+--R (2) ----------------------------------------------------
+--R 243x + 162
+--R Type: Expression(Integer)
+--E 147
+
+--S 148 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R (- 216x - 144)log(3x + 2) - 675x + 405x + 570x - 7
+--R (3) ----------------------------------------------------
+--R 243x + 162
+--R Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 149
+
+--S 150 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 150
+
+)clear all
+
+--S 151 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^3
+--R
+--R
+--R 3 2
+--R - 50x - 35x + 12x + 9
+--R (1) -----------------------
+--R 3 2
+--R 27x + 54x + 36x + 8
+--R Type: Fraction(Polynomial(Integer))
+--E 151
+
+--S 152 of 500
+r0:=-50/27*x+(-7/162)/(2+3*x)^2+8/9/(2+3*x)+65/27*log(2+3*x)
+--R
+--R
+--R 2 3 2
+--R (3510x + 4680x + 1560)log(3x + 2) - 2700x - 3600x - 768x + 281
+--R (2) -----------------------------------------------------------------
+--R 2
+--R 1458x + 1944x + 648
+--R Type: Expression(Integer)
+--E 152
+
+--S 153 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2 3 2
+--R (3510x + 4680x + 1560)log(3x + 2) - 2700x - 3600x - 768x + 281
+--R (3) -----------------------------------------------------------------
+--R 2
+--R 1458x + 1944x + 648
+--R Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 154
+
+--S 155 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 155
+
+)clear all
+
+--S 156 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^4
+--R
+--R
+--R 3 2
+--R - 50x - 35x + 12x + 9
+--R (1) -------------------------------
+--R 4 3 2
+--R 81x + 216x + 216x + 96x + 16
+--R Type: Fraction(Polynomial(Integer))
+--E 156
+
+--S 157 of 500
+r0:=(-7/243)/(2+3*x)^3+4/9/(2+3*x)^2+(-65/27)/(2+3*x)-50/81*log(2+3*x)
+--R
+--R
+--R 3 2 2
+--R (- 4050x - 8100x - 5400x - 1200)log(3x + 2) - 5265x - 6696x - 2131
+--R (2) ---------------------------------------------------------------------
+--R 3 2
+--R 6561x + 13122x + 8748x + 1944
+--R Type: Expression(Integer)
+--E 157
+
+--S 158 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2 2
+--R (- 4050x - 8100x - 5400x - 1200)log(3x + 2) - 5265x - 6696x - 2131
+--R (3) ---------------------------------------------------------------------
+--R 3 2
+--R 6561x + 13122x + 8748x + 1944
+--R Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 159
+
+--S 160 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 160
+
+)clear all
+
+--S 161 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^5
+--R
+--R
+--R 3 2
+--R - 50x - 35x + 12x + 9
+--R (1) ------------------------------------------
+--R 5 4 3 2
+--R 243x + 810x + 1080x + 720x + 240x + 32
+--R Type: Fraction(Polynomial(Integer))
+--E 161
+
+--S 162 of 500
+r0:=7/12*(3+5*x)^3/(2+3*x)^4+3/4*(3+5*x)^3/(2+3*x)^3
+--R
+--R
+--R 125 4 2300 3 515 2 38 25
+--R --- x + ---- x + --- x + -- x + --
+--R 36 243 54 9 36
+--R (2) -------------------------------------
+--R 4 8 3 8 2 32 16
+--R x + - x + - x + -- x + --
+--R 3 3 27 81
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 162
+
+--S 163 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R 600x + 810x + 312x + 25
+--R (3) --------------------------------------
+--R 4 3 2
+--R 2916x + 7776x + 7776x + 3456x + 576
+--R Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 500
+m0:=a0-r0
+--R
+--R
+--R 125
+--R (4) - ---
+--R 36
+--R Type: Expression(Integer)
+--E 164
+
+--S 165 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 165
+
+)clear all
+
+--S 166 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^6
+--R
+--R
+--R 3 2
+--R - 50x - 35x + 12x + 9
+--R (1) -----------------------------------------------------
+--R 6 5 4 3 2
+--R 729x + 2916x + 4860x + 4320x + 2160x + 576x + 64
+--R Type: Fraction(Polynomial(Integer))
+--E 166
+
+--S 167 of 500
+r0:=(-7/405)/(2+3*x)^5+2/9/(2+3*x)^4+(-65/81)/(2+3*x)^3+25/81/(2+3*x)^2
+--R
+--R
+--R 25 3 85 2 58 127
+--R --- x + ---- x + ---- x - -----
+--R 729 2187 6561 98415
+--R (2) ---------------------------------------
+--R 5 10 4 40 3 80 2 80 32
+--R x + -- x + -- x + -- x + -- x + ---
+--R 3 9 27 81 243
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 167
+
+--S 168 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R 3375x + 3825x + 870x - 127
+--R (3) ---------------------------------------------------------
+--R 5 4 3 2
+--R 98415x + 328050x + 437400x + 291600x + 97200x + 12960
+--R Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 169
+
+--S 170 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 170
+
+)clear all
+
+--S 171 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^7
+--R
+--R
+--R 3 2
+--R - 50x - 35x + 12x + 9
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 2187x + 10206x + 20412x + 22680x + 15120x + 6048x + 1344x + 128
+--R Type: Fraction(Polynomial(Integer))
+--E 171
+
+--S 172 of 500
+r0:=(-7/486)/(2+3*x)^6+8/45/(2+3*x)^5+(-65/108)/(2+3*x)^4+50/243/(2+3*x)^3
+--R
+--R
+--R 50 3 205 2 97 1021
+--R ---- x + ----- x + ----- x - -------
+--R 6561 26244 98415 1771470
+--R (2) ----------------------------------------------
+--R 6 5 20 4 160 3 80 2 64 64
+--R x + 4x + -- x + --- x + -- x + -- x + ---
+--R 3 27 27 81 729
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 172
+
+--S 173 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R 27000x + 27675x + 3492x - 2042
+--R /
+--R 6 5 4 3 2
+--R 3542940x + 14171760x + 23619600x + 20995200x + 10497600x + 2799360x
+--R +
+--R 311040
+--R Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 174
+
+--S 175 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 175
+
+)clear all
+
+--S 176 of 500
+t0:=(1-2*x)*(3+5*x)^2/(2+3*x)^8
+--R
+--R
+--R (1)
+--R 3 2
+--R - 50x - 35x + 12x + 9
+--R /
+--R 8 7 6 5 4 3 2
+--R 6561x + 34992x + 81648x + 108864x + 90720x + 48384x + 16128x
+--R +
+--R 3072x + 256
+--R Type: Fraction(Polynomial(Integer))
+--E 176
+
+--S 177 of 500
+r0:=(-1/81)/(2+3*x)^7+4/27/(2+3*x)^6+(-13/27)/(2+3*x)^5+25/162/(2+3*x)^4
+--R
+--R
+--R 25 3 4 2 2 11
+--R ----- x + ---- x + ----- x - -----
+--R 13122 2187 19683 59049
+--R (2) ------------------------------------------------------------
+--R 7 14 6 28 5 280 4 560 3 224 2 448 128
+--R x + -- x + -- x + --- x + --- x + --- x + --- x + ----
+--R 3 3 27 81 81 729 2187
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 177
+
+--S 178 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R 225x + 216x + 12x - 22
+--R /
+--R 7 6 5 4 3 2
+--R 118098x + 551124x + 1102248x + 1224720x + 816480x + 326592x
+--R +
+--R 72576x + 6912
+--R Type: Union(Expression(Integer),...)
+--E 178
+
+--S 179 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 179
+
+--S 180 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 180
+
+)clear all
+
+--S 181 of 500
+t0:=(1-2*x)*(2+3*x)^m*(3+5*x)^3
+--R
+--R
+--R 4 3 2 m
+--R (1) (- 250x - 325x - 45x + 81x + 27)(3x + 2)
+--R Type: Expression(Integer)
+--E 181
+
+--S 182 of 500
+r0:=-7/243*(2+3*x)^(1+m)/(1+m)+107/243*(2+3*x)^(2+m)/(2+m)-_
+ 185/81*(2+3*x)^(3+m)/(3+m)+1025/243*(2+3*x)^(4+m)/(4+m)-_
+ 250/243*(2+3*x)^(5+m)/(5+m)
+--R
+--R
+--R (2)
+--R 4 3 2 m + 5
+--R (- 250m - 2500m - 8750m - 12500m - 6000)(3x + 2)
+--R +
+--R 4 3 2 m + 4
+--R (1025m + 11275m + 42025m + 62525m + 30750)(3x + 2)
+--R +
+--R 4 3 2 m + 3
+--R (- 555m - 6660m - 27195m - 43290m - 22200)(3x + 2)
+--R +
+--R 4 3 2 m + 2
+--R (107m + 1391m + 6313m + 11449m + 6420)(3x + 2)
+--R +
+--R 4 3 2 m + 1
+--R (- 7m - 98m - 497m - 1078m - 840)(3x + 2)
+--R /
+--R 5 4 3 2
+--R 243m + 3645m + 20655m + 54675m + 66582m + 29160
+--R Type: Expression(Integer)
+--E 182
+
+--S 183 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2 5
+--R (- 20250m - 202500m - 708750m - 1012500m - 486000)x
+--R +
+--R 4 3 2 4
+--R (- 39825m - 370575m - 1227825m - 1686825m - 789750)x
+--R +
+--R 4 3 2 3
+--R (- 21195m - 148140m - 368955m - 387810m - 145800)x
+--R +
+--R 4 3 2 2
+--R (4131m + 96093m + 455229m + 756927m + 393660)x
+--R +
+--R 4 3 2 4 3
+--R (6561m + 86346m + 343215m + 526038m + 262440)x + 1458m + 17496m
+--R +
+--R 2
+--R 66366m + 99240m + 48800
+--R *
+--R m log(3x + 2)
+--R %e
+--R /
+--R 5 4 3 2
+--R 81m + 1215m + 6885m + 18225m + 22194m + 9720
+--R Type: Union(Expression(Integer),...)
+--E 183
+
+--S 184 of 500
+m0:=a0-r0
+--R
+--R
+--R (4)
+--R 4 3 2 5
+--R (- 60750m - 607500m - 2126250m - 3037500m - 1458000)x
+--R +
+--R 4 3 2 4
+--R (- 119475m - 1111725m - 3683475m - 5060475m - 2369250)x
+--R +
+--R 4 3 2 3
+--R (- 63585m - 444420m - 1106865m - 1163430m - 437400)x
+--R +
+--R 4 3 2 2
+--R (12393m + 288279m + 1365687m + 2270781m + 1180980)x
+--R +
+--R 4 3 2 4
+--R (19683m + 259038m + 1029645m + 1578114m + 787320)x + 4374m
+--R +
+--R 3 2
+--R 52488m + 199098m + 297720m + 146400
+--R *
+--R m log(3x + 2)
+--R %e
+--R +
+--R 4 3 2 m + 5
+--R (250m + 2500m + 8750m + 12500m + 6000)(3x + 2)
+--R +
+--R 4 3 2 m + 4
+--R (- 1025m - 11275m - 42025m - 62525m - 30750)(3x + 2)
+--R +
+--R 4 3 2 m + 3
+--R (555m + 6660m + 27195m + 43290m + 22200)(3x + 2)
+--R +
+--R 4 3 2 m + 2
+--R (- 107m - 1391m - 6313m - 11449m - 6420)(3x + 2)
+--R +
+--R 4 3 2 m + 1
+--R (7m + 98m + 497m + 1078m + 840)(3x + 2)
+--R /
+--R 5 4 3 2
+--R 243m + 3645m + 20655m + 54675m + 66582m + 29160
+--R Type: Expression(Integer)
+--E 184
+
+--S 185 of 500
+d0:=normalize m0
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 185
+
+)clear all
+
+--S 186 of 500
+t0:=(1-2*x)*(2+3*x)^8*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 12 11 10 9 8
+--R - 1640250x - 10880325x - 32079645x - 54794799x - 58723461x
+--R +
+--R 7 6 5 4 3 2
+--R - 38920608x - 12816720x + 2100768x + 4580384x + 2391296x + 672768x
+--R +
+--R 103680x + 6912
+--R Type: Polynomial(Integer)
+--E 186
+
+--S 187 of 500
+r0:=-7/2187*(2+3*x)^9+107/2430*(2+3*x)^10-185/891*(2+3*x)^11+_
+ 1025/2916*(2+3*x)^12-250/3159*(2+3*x)^13
+--R
+--R
+--R (2)
+--R 1640250 13 3626775 12 32079645 11 54794799 10 9
+--R - ------- x - ------- x - -------- x - -------- x - 6524829x
+--R 13 4 11 10
+--R +
+--R 8 7 6 4580384 5 4 3
+--R - 4865076x - 1830960x + 350128x + ------- x + 597824x + 224256x
+--R 5
+--R +
+--R 2 640642048
+--R 51840x + 6912x + ---------
+--R 1563705
+--R Type: Polynomial(Fraction(Integer))
+--E 187
+
+--S 188 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 1640250 13 3626775 12 32079645 11 54794799 10 9
+--R - ------- x - ------- x - -------- x - -------- x - 6524829x
+--R 13 4 11 10
+--R +
+--R 8 7 6 4580384 5 4 3
+--R - 4865076x - 1830960x + 350128x + ------- x + 597824x + 224256x
+--R 5
+--R +
+--R 2
+--R 51840x + 6912x
+--R Type: Polynomial(Fraction(Integer))
+--E 188
+
+--S 189 of 500
+m0:=a0-r0
+--R
+--R
+--R 640642048
+--R (4) - ---------
+--R 1563705
+--R Type: Polynomial(Fraction(Integer))
+--E 189
+
+--S 190 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 190
+
+)clear all
+
+--S 191 of 500
+t0:=(1-2*x)*(2+3*x)^7*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 11 10 9 8 7 6
+--R - 546750x - 3262275x - 8518365x - 12586023x - 11183805x - 5517666x
+--R +
+--R 5 4 3 2
+--R - 593796x + 1096120x + 796048x + 266400x + 46656x + 3456
+--R Type: Polynomial(Integer)
+--E 191
+
+--S 192 of 500
+r0:=3456*x+23328*x^2+88800*x^3+199012*x^4+219224*x^5-98966*x^6-_
+ 788238*x^7-11183805/8*x^8-1398447*x^9-1703673/2*x^10-_
+ 3262275/11*x^11-91125/2*x^12
+--R
+--R
+--R (2)
+--R 91125 12 3262275 11 1703673 10 9 11183805 8
+--R - ----- x - ------- x - ------- x - 1398447x - -------- x
+--R 2 11 2 8
+--R +
+--R 7 6 5 4 3 2
+--R - 788238x - 98966x + 219224x + 199012x + 88800x + 23328x + 3456x
+--R Type: Polynomial(Fraction(Integer))
+--E 192
+
+--S 193 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 91125 12 3262275 11 1703673 10 9 11183805 8
+--R - ----- x - ------- x - ------- x - 1398447x - -------- x
+--R 2 11 2 8
+--R +
+--R 7 6 5 4 3 2
+--R - 788238x - 98966x + 219224x + 199012x + 88800x + 23328x + 3456x
+--R Type: Polynomial(Fraction(Integer))
+--E 193
+
+--S 194 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 194
+
+--S 195 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 195
+
+)clear all
+
+--S 196 of 500
+t0:=(1-2*x)*(2+3*x)^6*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5
+--R - 182250x - 965925x - 2195505x - 2731671x - 1906821x - 568008x
+--R +
+--R 4 3 2
+--R 180740x + 244880x + 102096x + 20736x + 1728
+--R Type: Polynomial(Integer)
+--E 196
+
+--S 197 of 500
+r0:=1728*x+10368*x^2+34032*x^3+61220*x^4+36148*x^5-94668*x^6-_
+ 272403*x^7-2731671/8*x^8-243945*x^9-193185/2*x^10-182250/11*x^11
+--R
+--R
+--R (2)
+--R 182250 11 193185 10 9 2731671 8 7 6
+--R - ------ x - ------ x - 243945x - ------- x - 272403x - 94668x
+--R 11 2 8
+--R +
+--R 5 4 3 2
+--R 36148x + 61220x + 34032x + 10368x + 1728x
+--R Type: Polynomial(Fraction(Integer))
+--E 197
+
+--S 198 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 182250 11 193185 10 9 2731671 8 7 6
+--R - ------ x - ------ x - 243945x - ------- x - 272403x - 94668x
+--R 11 2 8
+--R +
+--R 5 4 3 2
+--R 36148x + 61220x + 34032x + 10368x + 1728x
+--R Type: Polynomial(Fraction(Integer))
+--E 198
+
+--S 199 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 199
+
+--S 200 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 200
+
+)clear all
+
+--S 201 of 500
+t0:=(1-2*x)*(2+3*x)^5*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3
+--R - 60750x - 281475x - 544185x - 547767x - 270429x - 9050x + 66280x
+--R +
+--R 2
+--R 37440x + 9072x + 864
+--R Type: Polynomial(Integer)
+--E 201
+
+--S 202 of 500
+r0:=864*x+4536*x^2+12480*x^3+16570*x^4-1810*x^5-90143/2*x^6-_
+ 547767/7*x^7-544185/8*x^8-31275*x^9-6075*x^10
+--R
+--R
+--R (2)
+--R 10 9 544185 8 547767 7 90143 6 5 4
+--R - 6075x - 31275x - ------ x - ------ x - ----- x - 1810x + 16570x
+--R 8 7 2
+--R +
+--R 3 2
+--R 12480x + 4536x + 864x
+--R Type: Polynomial(Fraction(Integer))
+--E 202
+
+--S 203 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 544185 8 547767 7 90143 6 5 4
+--R - 6075x - 31275x - ------ x - ------ x - ----- x - 1810x + 16570x
+--R 8 7 2
+--R +
+--R 3 2
+--R 12480x + 4536x + 864x
+--R Type: Polynomial(Fraction(Integer))
+--E 203
+
+--S 204 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 204
+
+--S 205 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 205
+
+)clear all
+
+--S 206 of 500
+t0:=(1-2*x)*(2+3*x)^4*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 20250x - 80325x - 127845x - 97359x - 25237x + 13808x + 12888x
+--R +
+--R 3888x + 432
+--R Type: Polynomial(Integer)
+--E 206
+
+--S 207 of 500
+r0:=432*x+1944*x^2+4296*x^3+3452*x^4-25237/5*x^5-32453/2*x^6-_
+ 127845/7*x^7-80325/8*x^8-2250*x^9
+--R
+--R
+--R (2)
+--R 9 80325 8 127845 7 32453 6 25237 5 4 3
+--R - 2250x - ----- x - ------ x - ----- x - ----- x + 3452x + 4296x
+--R 8 7 2 5
+--R +
+--R 2
+--R 1944x + 432x
+--R Type: Polynomial(Fraction(Integer))
+--E 207
+
+--S 208 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 80325 8 127845 7 32453 6 25237 5 4 3
+--R - 2250x - ----- x - ------ x - ----- x - ----- x + 3452x + 4296x
+--R 8 7 2 5
+--R +
+--R 2
+--R 1944x + 432x
+--R Type: Polynomial(Fraction(Integer))
+--E 208
+
+--S 209 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 209
+
+--S 210 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 210
+
+)clear all
+
+--S 211 of 500
+t0:=(1-2*x)*(2+3*x)^3*(3+5*x)^3
+--R
+--R
+--R 7 6 5 4 3 2
+--R (1) - 6750x - 22275x - 27765x - 13943x + 883x + 4014x + 1620x + 216
+--R Type: Polynomial(Integer)
+--E 211
+
+--S 212 of 500
+r0:=216*x+810*x^2+1338*x^3+883/4*x^4-13943/5*x^5-9255/2*x^6-_
+ 22275/7*x^7-3375/4*x^8
+--R
+--R
+--R (2)
+--R 3375 8 22275 7 9255 6 13943 5 883 4 3 2
+--R - ---- x - ----- x - ---- x - ----- x + --- x + 1338x + 810x + 216x
+--R 4 7 2 5 4
+--R Type: Polynomial(Fraction(Integer))
+--E 212
+
+--S 213 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3375 8 22275 7 9255 6 13943 5 883 4 3 2
+--R - ---- x - ----- x - ---- x - ----- x + --- x + 1338x + 810x + 216x
+--R 4 7 2 5 4
+--R Type: Polynomial(Fraction(Integer))
+--E 213
+
+--S 214 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 214
+
+--S 215 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 215
+
+)clear all
+
+--S 216 of 500
+t0:=(1-2*x)*(2+3*x)^2*(3+5*x)^3
+--R
+--R
+--R 6 5 4 3 2
+--R (1) - 2250x - 5925x - 5305x - 1111x + 1035x + 648x + 108
+--R Type: Polynomial(Integer)
+--E 216
+
+--S 217 of 500
+r0:=108*x+324*x^2+345*x^3-1111/4*x^4-1061*x^5-1975/2*x^6-2250/7*x^7
+--R
+--R
+--R 2250 7 1975 6 5 1111 4 3 2
+--R (2) - ---- x - ---- x - 1061x - ---- x + 345x + 324x + 108x
+--R 7 2 4
+--R Type: Polynomial(Fraction(Integer))
+--E 217
+
+--S 218 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2250 7 1975 6 5 1111 4 3 2
+--R (3) - ---- x - ---- x - 1061x - ---- x + 345x + 324x + 108x
+--R 7 2 4
+--R Type: Polynomial(Fraction(Integer))
+--E 218
+
+--S 219 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 219
+
+--S 220 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 220
+
+)clear all
+
+--S 221 of 500
+t0:=(1-2*x)*(2+3*x)*(3+5*x)^3
+--R
+--R
+--R 5 4 3 2
+--R (1) - 750x - 1475x - 785x + 153x + 243x + 54
+--R Type: Polynomial(Integer)
+--E 221
+
+--S 222 of 500
+r0:=54*x+243/2*x^2+51*x^3-785/4*x^4-295*x^5-125*x^6
+--R
+--R
+--R 6 5 785 4 3 243 2
+--R (2) - 125x - 295x - --- x + 51x + --- x + 54x
+--R 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 222
+
+--S 223 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 6 5 785 4 3 243 2
+--R (3) - 125x - 295x - --- x + 51x + --- x + 54x
+--R 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 223
+
+--S 224 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 224
+
+--S 225 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 225
+
+)clear all
+
+--S 226 of 500
+t0:=(1-2*x)*(3+5*x)^3
+--R
+--R
+--R 4 3 2
+--R (1) - 250x - 325x - 45x + 81x + 27
+--R Type: Polynomial(Integer)
+--E 226
+
+--S 227 of 500
+r0:=27*x+81/2*x^2-15*x^3-325/4*x^4-50*x^5
+--R
+--R
+--R 5 325 4 3 81 2
+--R (2) - 50x - --- x - 15x + -- x + 27x
+--R 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 227
+
+--S 228 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 325 4 3 81 2
+--R (3) - 50x - --- x - 15x + -- x + 27x
+--R 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 228
+
+--S 229 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 229
+
+--S 230 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 230
+
+)clear all
+
+--S 231 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)
+--R
+--R
+--R 4 3 2
+--R - 250x - 325x - 45x + 81x + 27
+--R (1) ---------------------------------
+--R 3x + 2
+--R Type: Fraction(Polynomial(Integer))
+--E 231
+
+--S 232 of 500
+r0:=1097/81*x+545/54*x^2-475/27*x^3-125/6*x^4-7/243*log(2+3*x)
+--R
+--R
+--R 4 3 2
+--R - 14log(3x + 2) - 10125x - 8550x + 4905x + 6582x
+--R (2) ---------------------------------------------------
+--R 486
+--R Type: Expression(Integer)
+--E 232
+
+--S 233 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R - 14log(3x + 2) - 10125x - 8550x + 4905x + 6582x
+--R (3) ---------------------------------------------------
+--R 486
+--R Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 234
+
+--S 235 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 235
+
+)clear all
+
+--S 236 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^2
+--R
+--R
+--R 4 3 2
+--R - 250x - 325x - 45x + 81x + 27
+--R (1) ---------------------------------
+--R 2
+--R 9x + 12x + 4
+--R Type: Fraction(Polynomial(Integer))
+--E 236
+
+--S 237 of 500
+r0:=55/9*x+25/54*x^2-250/27*x^3+7/243/(2+3*x)+107/243*log(2+3*x)
+--R
+--R
+--R 4 3 2
+--R (642x + 428)log(3x + 2) - 13500x - 8325x + 9360x + 5940x + 14
+--R (2) ----------------------------------------------------------------
+--R 1458x + 972
+--R Type: Expression(Integer)
+--E 237
+
+--S 238 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R (642x + 428)log(3x + 2) - 13500x - 8325x + 9360x + 5940x + 14
+--R (3) ----------------------------------------------------------------
+--R 1458x + 972
+--R Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 239
+
+--S 240 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 240
+
+)clear all
+
+--S 241 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^3
+--R
+--R
+--R 4 3 2
+--R - 250x - 325x - 45x + 81x + 27
+--R (1) ---------------------------------
+--R 3 2
+--R 27x + 54x + 36x + 8
+--R Type: Fraction(Polynomial(Integer))
+--E 241
+
+--S 242 of 500
+r0:=175/27*x-125/27*x^2+7/486/(2+3*x)^2+(-107/243)/(2+3*x)-185/81*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2 4 3 2
+--R (- 9990x - 13320x - 4440)log(3x + 2) - 20250x + 1350x + 28800x
+--R +
+--R 11958x - 421
+--R /
+--R 2
+--R 4374x + 5832x + 1944
+--R Type: Expression(Integer)
+--E 242
+
+--S 243 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 4 3 2
+--R (- 9990x - 13320x - 4440)log(3x + 2) - 20250x + 1350x + 28800x
+--R +
+--R 11958x - 421
+--R /
+--R 2
+--R 4374x + 5832x + 1944
+--R Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 244
+
+--S 245 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 245
+
+)clear all
+
+--S 246 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^4
+--R
+--R
+--R 4 3 2
+--R - 250x - 325x - 45x + 81x + 27
+--R (1) ---------------------------------
+--R 4 3 2
+--R 81x + 216x + 216x + 96x + 16
+--R Type: Fraction(Polynomial(Integer))
+--E 246
+
+--S 247 of 500
+r0:=-250/81*x+7/729/(2+3*x)^3+(-107/486)/(2+3*x)^2+185/81/(2+3*x)+_
+ 1025/243*log(2+3*x)
+--R
+--R
+--R (2)
+--R 3 2 4 3
+--R (166050x + 332100x + 221400x + 49200)log(3x + 2) - 121500x - 243000x
+--R +
+--R 2
+--R - 132030x + 2997x + 12692
+--R /
+--R 3 2
+--R 39366x + 78732x + 52488x + 11664
+--R Type: Expression(Integer)
+--E 247
+
+--S 248 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2 4 3
+--R (166050x + 332100x + 221400x + 49200)log(3x + 2) - 121500x - 243000x
+--R +
+--R 2
+--R - 132030x + 2997x + 12692
+--R /
+--R 3 2
+--R 39366x + 78732x + 52488x + 11664
+--R Type: Union(Expression(Integer),...)
+--E 248
+
+--S 249 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 249
+
+--S 250 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 250
+
+)clear all
+
+--S 251 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^5
+--R
+--R
+--R 4 3 2
+--R - 250x - 325x - 45x + 81x + 27
+--R (1) ------------------------------------------
+--R 5 4 3 2
+--R 243x + 810x + 1080x + 720x + 240x + 32
+--R Type: Fraction(Polynomial(Integer))
+--E 251
+
+--S 252 of 500
+r0:=7/972/(2+3*x)^4+(-107/729)/(2+3*x)^3+185/162/(2+3*x)^2+_
+ (-1025/243)/(2+3*x)-250/243*log(2+3*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (- 243000x - 648000x - 648000x - 288000x - 48000)log(3x + 2)
+--R +
+--R 3 2
+--R - 332100x - 634230x - 404124x - 85915
+--R /
+--R 4 3 2
+--R 236196x + 629856x + 629856x + 279936x + 46656
+--R Type: Expression(Integer)
+--E 252
+
+--S 253 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (- 243000x - 648000x - 648000x - 288000x - 48000)log(3x + 2)
+--R +
+--R 3 2
+--R - 332100x - 634230x - 404124x - 85915
+--R /
+--R 4 3 2
+--R 236196x + 629856x + 629856x + 279936x + 46656
+--R Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 254
+
+--S 255 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 255
+
+)clear all
+
+--S 256 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^6
+--R
+--R
+--R 4 3 2
+--R - 250x - 325x - 45x + 81x + 27
+--R (1) -----------------------------------------------------
+--R 6 5 4 3 2
+--R 729x + 2916x + 4860x + 4320x + 2160x + 576x + 64
+--R Type: Fraction(Polynomial(Integer))
+--E 256
+
+--S 257 of 500
+r0:=7/15*(3+5*x)^4/(2+3*x)^5+5/12*(3+5*x)^4/(2+3*x)^4
+--R
+--R
+--R 3125 5 5375 4 2425 3 2 119 13
+--R ---- x + ---- x + ---- x + 10x + --- x + --
+--R 972 486 162 36 30
+--R (2) -----------------------------------------------
+--R 5 10 4 40 3 80 2 80 32
+--R x + -- x + -- x + -- x + -- x + ---
+--R 3 9 27 81 243
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 257
+
+--S 258 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R 405000x + 803250x + 559800x + 153795x + 11758
+--R (3) -----------------------------------------------------------------
+--R 5 4 3 2
+--R 1180980x + 3936600x + 5248800x + 3499200x + 1166400x + 155520
+--R Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 500
+m0:=a0-r0
+--R
+--R
+--R 3125
+--R (4) - ----
+--R 972
+--R Type: Expression(Integer)
+--E 259
+
+--S 260 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 260
+
+)clear all
+
+--S 261 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^7
+--R
+--R
+--R 4 3 2
+--R - 250x - 325x - 45x + 81x + 27
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 2187x + 10206x + 20412x + 22680x + 15120x + 6048x + 1344x + 128
+--R Type: Fraction(Polynomial(Integer))
+--E 261
+
+--S 262 of 500
+r0:=7/18*(3+5*x)^4/(2+3*x)^6+29/45*(3+5*x)^4/(2+3*x)^5+_
+ 29/36*(3+5*x)^4/(2+3*x)^4
+--R
+--R
+--R 18125 6 18125 5 30250 4 8975 3 665 2 664 49
+--R ----- x + ----- x + ----- x + ---- x + --- x + --- x + --
+--R 2916 729 729 243 36 135 90
+--R (2) --------------------------------------------------------------
+--R 6 5 20 4 160 3 80 2 64 64
+--R x + 4x + -- x + --- x + -- x + -- x + ---
+--R 3 27 27 81 729
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 262
+
+--S 263 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R 607500x + 1066500x + 587925x + 78048x - 13198
+--R /
+--R 6 5 4 3 2
+--R 10628820x + 42515280x + 70858800x + 62985600x + 31492800x + 8398080x
+--R +
+--R 933120
+--R Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 500
+m0:=a0-r0
+--R
+--R
+--R 18125
+--R (4) - -----
+--R 2916
+--R Type: Expression(Integer)
+--E 264
+
+--S 265 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 265
+
+)clear all
+
+--S 266 of 500
+t0:=(1-2*x)*(3+5*x)^3/(2+3*x)^8
+--R
+--R
+--R (1)
+--R 4 3 2
+--R - 250x - 325x - 45x + 81x + 27
+--R /
+--R 8 7 6 5 4 3 2
+--R 6561x + 34992x + 81648x + 108864x + 90720x + 48384x + 16128x
+--R +
+--R 3072x + 256
+--R Type: Fraction(Polynomial(Integer))
+--E 266
+
+--S 267 of 500
+r0:=1/243/(2+3*x)^7+(-107/1458)/(2+3*x)^6+37/81/(2+3*x)^5+_
+ (-1025/972)/(2+3*x)^4+250/729/(2+3*x)^3
+--R
+--R
+--R 250 4 4925 3 1147 2 107 922
+--R ----- x + ------ x + ------ x + ------- x - -------
+--R 19683 236196 118098 1062882 1594323
+--R (2) ------------------------------------------------------------
+--R 7 14 6 28 5 280 4 560 3 224 2 448 128
+--R x + -- x + -- x + --- x + --- x + --- x + --- x + ----
+--R 3 3 27 81 81 729 2187
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 267
+
+--S 268 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R 81000x + 132975x + 61938x + 642x - 3688
+--R /
+--R 7 6 5 4 3
+--R 6377292x + 29760696x + 59521392x + 66134880x + 44089920x
+--R +
+--R 2
+--R 17635968x + 3919104x + 373248
+--R Type: Union(Expression(Integer),...)
+--E 268
+
+--S 269 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 269
+
+--S 270 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 270
+
+)clear all
+
+--S 271 of 500
+t0:=(5-2*x)^6*(2+3*x)^3*(-16+33*x)
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5
+--R 57024x - 768960x + 4070736x - 10051008x + 8647828x + 8983380x
+--R +
+--R 4 3 2
+--R - 19081125x - 196250x + 11962500x - 75000x - 2000000
+--R Type: Polynomial(Integer)
+--E 271
+
+--S 272 of 500
+r0:=-1/2*(5-2*x)^7*(2+3*x)^4
+--R
+--R
+--R (2)
+--R 11 10 9 8 7 6
+--R 5184x - 76896x + 452304x - 1256376x + 1235404x + 1497230x
+--R +
+--R 5 98125 4 3 2
+--R - 3816225x - ----- x + 3987500x - 37500x - 2000000x - 625000
+--R 2
+--R Type: Polynomial(Fraction(Integer))
+--E 272
+
+--S 273 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 11 10 9 8 7 6
+--R 5184x - 76896x + 452304x - 1256376x + 1235404x + 1497230x
+--R +
+--R 5 98125 4 3 2
+--R - 3816225x - ----- x + 3987500x - 37500x - 2000000x
+--R 2
+--R Type: Polynomial(Fraction(Integer))
+--E 273
+
+--S 274 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 625000
+--R Type: Polynomial(Fraction(Integer))
+--E 274
+
+--S 275 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 275
+
+)clear all
+
+--S 276 of 500
+t0:=(1-2*x)*(2+3*x)^m/(3+5*x)
+--R
+--R
+--R m
+--R (- 2x + 1)(3x + 2)
+--R (1) -------------------
+--R 5x + 3
+--R Type: Expression(Integer)
+--E 276
+
+--S 277 of 500
+--r0:=-2/15*(2+3*x)^(1+m)/(1+m)-11/5*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 277
+
+--S 278 of 500
+--a0:=integrate(t0,x)
+--E 278
+
+--S 279 of 500
+--m0:=a0-r0
+--E 279
+
+--S 280 of 500
+--d0:=D(m0,x)
+--E 280
+
+)clear all
+
+--S 281 of 500
+t0:=(1-2*x)*(2+3*x)^6/(3+5*x)
+--R
+--R
+--R 7 6 5 4 2
+--R - 1458x - 5103x - 6804x - 3780x + 1008x + 448x + 64
+--R (1) --------------------------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 281
+
+--S 282 of 500
+r0:=1666663/78125*x+1777779/31250*x^2+152469/3125*x^3-_
+ 152469/2500*x^4-106677/625*x^5-7047/50*x^6-1458/35*x^7+_
+ 11/390625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5 4
+--R 308log(5x + 3) - 455625000x - 1541531250x - 1866847500x - 667051875x
+--R +
+--R 3 2
+--R 533641500x + 622222650x + 233332820x
+--R /
+--R 10937500
+--R Type: Expression(Integer)
+--E 282
+
+--S 283 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R 308log(5x + 3) - 455625000x - 1541531250x - 1866847500x - 667051875x
+--R +
+--R 3 2
+--R 533641500x + 622222650x + 233332820x
+--R /
+--R 10937500
+--R Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 284
+
+--S 285 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 285
+
+)clear all
+
+--S 286 of 500
+t0:=(1-2*x)*(2+3*x)^5/(3+5*x)
+--R
+--R
+--R 6 5 4 3 2
+--R - 486x - 1377x - 1350x - 360x + 240x + 176x + 32
+--R (1) -----------------------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 286
+
+--S 287 of 500
+r0:=166663/15625*x+127779/6250*x^2+2469/625*x^3-17469/500*x^4-_
+ 5427/125*x^5-81/5*x^6+11/78125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 44log(5x + 3) - 5062500x - 13567500x - 10918125x + 1234500x
+--R +
+--R 2
+--R 6388950x + 3333260x
+--R /
+--R 312500
+--R Type: Expression(Integer)
+--E 287
+
+--S 288 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 44log(5x + 3) - 5062500x - 13567500x - 10918125x + 1234500x
+--R +
+--R 2
+--R 6388950x + 3333260x
+--R /
+--R 312500
+--R Type: Union(Expression(Integer),...)
+--E 288
+
+--S 289 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 289
+
+--S 290 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 290
+
+)clear all
+
+--S 291 of 500
+t0:=(1-2*x)*(2+3*x)^4/(3+5*x)
+--R
+--R
+--R 5 4 3 2
+--R - 162x - 351x - 216x + 24x + 64x + 16
+--R (1) -----------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 291
+
+--S 292 of 500
+r0:=16663/3125*x+7779/1250*x^2-531/125*x^3-1269/100*x^4-_
+ 162/25*x^5+11/15625*log(3+5*x)
+--R
+--R
+--R 5 4 3 2
+--R 44log(5x + 3) - 405000x - 793125x - 265500x + 388950x + 333260x
+--R (2) -------------------------------------------------------------------
+--R 62500
+--R Type: Expression(Integer)
+--E 292
+
+--S 293 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 3 2
+--R 44log(5x + 3) - 405000x - 793125x - 265500x + 388950x + 333260x
+--R (3) -------------------------------------------------------------------
+--R 62500
+--R Type: Union(Expression(Integer),...)
+--E 293
+
+--S 294 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 294
+
+--S 295 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 295
+
+)clear all
+
+--S 296 of 500
+t0:=(1-2*x)*(2+3*x)^3/(3+5*x)
+--R
+--R
+--R 4 3 2
+--R - 54x - 81x - 18x + 20x + 8
+--R (1) ------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 296
+
+--S 297 of 500
+r0:=1663/625*x+279/250*x^2-81/25*x^3-27/10*x^4+11/3125*log(3+5*x)
+--R
+--R
+--R 4 3 2
+--R 22log(5x + 3) - 16875x - 20250x + 6975x + 16630x
+--R (2) ---------------------------------------------------
+--R 6250
+--R Type: Expression(Integer)
+--E 297
+
+--S 298 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R 22log(5x + 3) - 16875x - 20250x + 6975x + 16630x
+--R (3) ---------------------------------------------------
+--R 6250
+--R Type: Union(Expression(Integer),...)
+--E 298
+
+--S 299 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 299
+
+--S 300 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 300
+
+)clear all
+
+--S 301 of 500
+t0:=(1-2*x)*(2+3*x)^2/(3+5*x)
+--R
+--R
+--R 3 2
+--R - 18x - 15x + 4x + 4
+--R (1) ----------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 301
+
+--S 302 of 500
+r0:=163/125*x-21/50*x^2-6/5*x^3+11/625*log(3+5*x)
+--R
+--R
+--R 3 2
+--R 22log(5x + 3) - 1500x - 525x + 1630x
+--R (2) --------------------------------------
+--R 1250
+--R Type: Expression(Integer)
+--E 302
+
+--S 303 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R 22log(5x + 3) - 1500x - 525x + 1630x
+--R (3) --------------------------------------
+--R 1250
+--R Type: Union(Expression(Integer),...)
+--E 303
+
+--S 304 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 304
+
+--S 305 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 305
+
+)clear all
+
+--S 306 of 500
+t0:=(1-2*x)*(2+3*x)/(3+5*x)
+--R
+--R
+--R 2
+--R - 6x - x + 2
+--R (1) -------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 306
+
+--S 307 of 500
+r0:=13/25*x-3/5*x^2+11/125*log(3+5*x)
+--R
+--R
+--R 2
+--R 11log(5x + 3) - 75x + 65x
+--R (2) --------------------------
+--R 125
+--R Type: Expression(Integer)
+--E 307
+
+--S 308 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R 11log(5x + 3) - 75x + 65x
+--R (3) --------------------------
+--R 125
+--R Type: Union(Expression(Integer),...)
+--E 308
+
+--S 309 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 309
+
+--S 310 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 310
+
+)clear all
+
+--S 311 of 500
+t0:=(1-2*x)/(3+5*x)
+--R
+--R
+--R - 2x + 1
+--R (1) --------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 311
+
+--S 312 of 500
+r0:=-2/5*x+11/25*log(3+5*x)
+--R
+--R
+--R 11log(5x + 3) - 10x
+--R (2) -------------------
+--R 25
+--R Type: Expression(Integer)
+--E 312
+
+--S 313 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 11log(5x + 3) - 10x
+--R (3) -------------------
+--R 25
+--R Type: Union(Expression(Integer),...)
+--E 313
+
+--S 314 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 314
+
+--S 315 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 315
+
+)clear all
+
+--S 316 of 500
+t0:=(1-2*x)/((2+3*x)*(3+5*x))
+--R
+--R
+--R - 2x + 1
+--R (1) --------------
+--R 2
+--R 15x + 19x + 6
+--R Type: Fraction(Polynomial(Integer))
+--E 316
+
+--S 317 of 500
+r0:=-7/3*log(2+3*x)+11/5*log(3+5*x)
+--R
+--R
+--R 33log(5x + 3) - 35log(3x + 2)
+--R (2) -----------------------------
+--R 15
+--R Type: Expression(Integer)
+--E 317
+
+--S 318 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 33log(5x + 3) - 35log(3x + 2)
+--R (3) -----------------------------
+--R 15
+--R Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 319
+
+--S 320 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 320
+
+)clear all
+
+--S 321 of 500
+t0:=(1-2*x)/((2+3*x)^2*(3+5*x))
+--R
+--R
+--R - 2x + 1
+--R (1) ----------------------
+--R 3 2
+--R 45x + 87x + 56x + 12
+--R Type: Fraction(Polynomial(Integer))
+--E 321
+
+--S 322 of 500
+r0:=7/3/(2+3*x)-11*log(2+3*x)+11*log(3+5*x)
+--R
+--R
+--R (99x + 66)log(5x + 3) + (- 99x - 66)log(3x + 2) + 7
+--R (2) ---------------------------------------------------
+--R 9x + 6
+--R Type: Expression(Integer)
+--E 322
+
+--S 323 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (99x + 66)log(5x + 3) + (- 99x - 66)log(3x + 2) + 7
+--R (3) ---------------------------------------------------
+--R 9x + 6
+--R Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 324
+
+--S 325 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 325
+
+)clear all
+
+--S 326 of 500
+t0:=(1-2*x)/((2+3*x)^3*(3+5*x))
+--R
+--R
+--R - 2x + 1
+--R (1) ---------------------------------
+--R 4 3 2
+--R 135x + 351x + 342x + 148x + 24
+--R Type: Fraction(Polynomial(Integer))
+--E 326
+
+--S 327 of 500
+r0:=7/6/(2+3*x)^2+11/(2+3*x)-55*log(2+3*x)+55*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 2
+--R (2970x + 3960x + 1320)log(5x + 3) + (- 2970x - 3960x - 1320)log(3x + 2)
+--R +
+--R 198x + 139
+--R /
+--R 2
+--R 54x + 72x + 24
+--R Type: Expression(Integer)
+--E 327
+
+--S 328 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 2
+--R (2970x + 3960x + 1320)log(5x + 3) + (- 2970x - 3960x - 1320)log(3x + 2)
+--R +
+--R 198x + 139
+--R /
+--R 2
+--R 54x + 72x + 24
+--R Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 329
+
+--S 330 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 330
+
+)clear all
+
+--S 331 of 500
+t0:=(1-2*x)/((2+3*x)^4*(3+5*x))
+--R
+--R
+--R - 2x + 1
+--R (1) --------------------------------------------
+--R 5 4 3 2
+--R 405x + 1323x + 1728x + 1128x + 368x + 48
+--R Type: Fraction(Polynomial(Integer))
+--E 331
+
+--S 332 of 500
+r0:=7/9/(2+3*x)^3+11/2/(2+3*x)^2+55/(2+3*x)-275*log(2+3*x)+275*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (133650x + 267300x + 178200x + 39600)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 133650x - 267300x - 178200x - 39600)log(3x + 2) + 8910x + 12177x
+--R +
+--R 4172
+--R /
+--R 3 2
+--R 486x + 972x + 648x + 144
+--R Type: Expression(Integer)
+--E 332
+
+--S 333 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (133650x + 267300x + 178200x + 39600)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 133650x - 267300x - 178200x - 39600)log(3x + 2) + 8910x + 12177x
+--R +
+--R 4172
+--R /
+--R 3 2
+--R 486x + 972x + 648x + 144
+--R Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 334
+
+--S 335 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 335
+
+)clear all
+
+--S 336 of 500
+t0:=(1-2*x)/((2+3*x)^5*(3+5*x))
+--R
+--R
+--R - 2x + 1
+--R (1) ------------------------------------------------------
+--R 6 5 4 3 2
+--R 1215x + 4779x + 7830x + 6840x + 3360x + 880x + 96
+--R Type: Fraction(Polynomial(Integer))
+--E 336
+
+--S 337 of 500
+r0:=7/12/(2+3*x)^4+11/3/(2+3*x)^3+55/2/(2+3*x)^2+275/(2+3*x)-_
+ 1375*log(2+3*x)+1375*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (1336500x + 3564000x + 3564000x + 1584000x + 264000)log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 1336500x - 3564000x - 3564000x - 1584000x - 264000)log(3x + 2)
+--R +
+--R 3 2
+--R 89100x + 181170x + 122892x + 27815
+--R /
+--R 4 3 2
+--R 972x + 2592x + 2592x + 1152x + 192
+--R Type: Expression(Integer)
+--E 337
+
+--S 338 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (1336500x + 3564000x + 3564000x + 1584000x + 264000)log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 1336500x - 3564000x - 3564000x - 1584000x - 264000)log(3x + 2)
+--R +
+--R 3 2
+--R 89100x + 181170x + 122892x + 27815
+--R /
+--R 4 3 2
+--R 972x + 2592x + 2592x + 1152x + 192
+--R Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 339
+
+--S 340 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 340
+
+)clear all
+
+--S 341 of 500
+t0:=(1-2*x)/((2+3*x)^6*(3+5*x))
+--R
+--R
+--R - 2x + 1
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 3645x + 16767x + 33048x + 36180x + 23760x + 9360x + 2048x + 192
+--R Type: Fraction(Polynomial(Integer))
+--E 341
+
+--S 342 of 500
+r0:=7/15/(2+3*x)^5+11/4/(2+3*x)^4+55/3/(2+3*x)^3+275/2/(2+3*x)^2+_
+ 1375/(2+3*x)-6875*log(2+3*x)+6875*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R 33412500x + 111375000x + 148500000x + 99000000x + 33000000x
+--R +
+--R 4400000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 33412500x - 111375000x - 148500000x - 99000000x - 33000000x
+--R +
+--R - 4400000
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 2227500x + 6014250x + 6091800x + 2743565x + 463586
+--R /
+--R 5 4 3 2
+--R 4860x + 16200x + 21600x + 14400x + 4800x + 640
+--R Type: Expression(Integer)
+--E 342
+
+--S 343 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 33412500x + 111375000x + 148500000x + 99000000x + 33000000x
+--R +
+--R 4400000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 33412500x - 111375000x - 148500000x - 99000000x - 33000000x
+--R +
+--R - 4400000
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 2227500x + 6014250x + 6091800x + 2743565x + 463586
+--R /
+--R 5 4 3 2
+--R 4860x + 16200x + 21600x + 14400x + 4800x + 640
+--R Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 344
+
+--S 345 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 345
+
+)clear all
+
+--S 346 of 500
+t0:=(1-2*x)/((2+3*x)^7*(3+5*x))
+--R
+--R
+--R (1)
+--R - 2x + 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 10935x + 57591x + 132678x + 174636x + 143640x + 75600x + 24864x
+--R +
+--R 4672x + 384
+--R Type: Fraction(Polynomial(Integer))
+--E 346
+
+--S 347 of 500
+r0:=7/18/(2+3*x)^6+11/5/(2+3*x)^5+55/4/(2+3*x)^4+275/3/(2+3*x)^3+_
+ 1375/2/(2+3*x)^2+6875/(2+3*x)-34375*log(2+3*x)+34375*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 4510687500x + 18042750000x + 30071250000x + 26730000000x
+--R +
+--R 2
+--R 13365000000x + 3564000000x + 396000000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 4510687500x - 18042750000x - 30071250000x - 26730000000x
+--R +
+--R 2
+--R - 13365000000x - 3564000000x - 396000000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 300712500x + 1012398750x + 1363675500x + 918643275x + 309504888x
+--R +
+--R 41722762
+--R /
+--R 6 5 4 3 2
+--R 131220x + 524880x + 874800x + 777600x + 388800x + 103680x + 11520
+--R Type: Expression(Integer)
+--E 347
+
+--S 348 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 4510687500x + 18042750000x + 30071250000x + 26730000000x
+--R +
+--R 2
+--R 13365000000x + 3564000000x + 396000000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 4510687500x - 18042750000x - 30071250000x - 26730000000x
+--R +
+--R 2
+--R - 13365000000x - 3564000000x - 396000000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 300712500x + 1012398750x + 1363675500x + 918643275x + 309504888x
+--R +
+--R 41722762
+--R /
+--R 6 5 4 3 2
+--R 131220x + 524880x + 874800x + 777600x + 388800x + 103680x + 11520
+--R Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 349
+
+--S 350 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 350
+
+)clear all
+
+--S 351 of 500
+t0:=(1-2*x)*(2+3*x)^m/(3+5*x)^2
+--R
+--R
+--R m
+--R (- 2x + 1)(3x + 2)
+--R (1) -------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Expression(Integer)
+--E 351
+
+--S 352 of 500
+--r0:=-11/5*(2+3*x)^(1+m)/(3+5*x)+1/5*(2-33*m)*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 352
+
+--S 353 of 500
+--a0:=integrate(t0,x)
+--E 353
+
+--S 354 of 500
+--m0:=a0-r0
+--E 354
+
+--S 355 of 500
+--d0:=D(m0,x)
+--E 355
+
+)clear all
+
+--S 356 of 500
+t0:=(1-2*x)*(2+3*x)^7/(3+5*x)^2
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 4374x - 18225x - 30618x - 24948x - 7560x + 3024x + 3360x + 1088x
+--R +
+--R 128
+--R /
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 356
+
+--S 357 of 500
+r0:=5555478/390625*x+5740767/156250*x^2+92592/3125*x^3-_
+ 513783/12500*x^4-336798/3125*x^5-21627/250*x^6-_
+ 4374/175*x^7+(-11/1953125)/(3+5*x)+229/1953125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 8 7
+--R (32060x + 19236)log(5x + 3) - 6834375000x - 27755156250x
+--R +
+--R 6 5 4 3
+--R - 43662543750x - 28920898125x + 1358398125x + 14907422250x
+--R +
+--R 2
+--R 9916639950x + 2333300760x - 308
+--R /
+--R 273437500x + 164062500
+--R Type: Expression(Integer)
+--E 357
+
+--S 358 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7
+--R (32060x + 19236)log(5x + 3) - 6834375000x - 27755156250x
+--R +
+--R 6 5 4 3
+--R - 43662543750x - 28920898125x + 1358398125x + 14907422250x
+--R +
+--R 2
+--R 9916639950x + 2333300760x - 308
+--R /
+--R 273437500x + 164062500
+--R Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 359
+
+--S 360 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 360
+
+)clear all
+
+--S 361 of 500
+t0:=(1-2*x)*(2+3*x)^6/(3+5*x)^2
+--R
+--R
+--R 7 6 5 4 2
+--R - 1458x - 5103x - 6804x - 3780x + 1008x + 448x + 64
+--R (1) --------------------------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 361
+
+--S 362 of 500
+r0:=555489/78125*x+40743/3125*x^2+5553/3125*x^3-14094/625*x^4-_
+ 16767/625*x^5-243/25*x^6+(-11/390625)/(3+5*x)+196/390625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R (980x + 588)log(5x + 3) - 18984375x - 63787500x - 75481875x
+--R +
+--R 4 3 2
+--R - 22955625x + 27546750x + 29165850x + 8332335x - 11
+--R /
+--R 1953125x + 1171875
+--R Type: Expression(Integer)
+--E 362
+
+--S 363 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5
+--R (980x + 588)log(5x + 3) - 18984375x - 63787500x - 75481875x
+--R +
+--R 4 3 2
+--R - 22955625x + 27546750x + 29165850x + 8332335x - 11
+--R /
+--R 1953125x + 1171875
+--R Type: Union(Expression(Integer),...)
+--E 363
+
+--S 364 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 364
+
+--S 365 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 365
+
+)clear all
+
+--S 366 of 500
+t0:=(1-2*x)*(2+3*x)^5/(3+5*x)^2
+--R
+--R
+--R 6 5 4 3 2
+--R - 486x - 1377x - 1350x - 360x + 240x + 176x + 32
+--R (1) -----------------------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 366
+
+--S 367 of 500
+r0:=444/125*x+24093/6250*x^2-1854/625*x^3-3969/500*x^4-_
+ 486/125*x^5+(-11/78125)/(3+5*x)+163/78125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4
+--R (3260x + 1956)log(5x + 3) - 6075000x - 16048125x - 12076875x
+--R +
+--R 3 2
+--R 3242250x + 9163950x + 3330000x - 44
+--R /
+--R 1562500x + 937500
+--R Type: Expression(Integer)
+--E 367
+
+--S 368 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4
+--R (3260x + 1956)log(5x + 3) - 6075000x - 16048125x - 12076875x
+--R +
+--R 3 2
+--R 3242250x + 9163950x + 3330000x - 44
+--R /
+--R 1562500x + 937500
+--R Type: Union(Expression(Integer),...)
+--E 368
+
+--S 369 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 369
+
+--S 370 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 370
+
+)clear all
+
+--S 371 of 500
+t0:=(1-2*x)*(2+3*x)^4/(3+5*x)^2
+--R
+--R
+--R 5 4 3 2
+--R - 162x - 351x - 216x + 24x + 64x + 16
+--R (1) -----------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 371
+
+--S 372 of 500
+r0:=5511/3125*x+378/625*x^2-261/125*x^3-81/50*x^4+(-11/15625)/(3+5*x)+_
+ 26/3125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R (1300x + 780)log(5x + 3) - 253125x - 478125x - 101250x + 332250x
+--R +
+--R 165330x - 22
+--R /
+--R 156250x + 93750
+--R Type: Expression(Integer)
+--E 372
+
+--S 373 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R (1300x + 780)log(5x + 3) - 253125x - 478125x - 101250x + 332250x
+--R +
+--R 165330x - 22
+--R /
+--R 156250x + 93750
+--R Type: Union(Expression(Integer),...)
+--E 373
+
+--S 374 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 374
+
+--S 375 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 375
+
+)clear all
+
+--S 376 of 500
+t0:=(1-2*x)*(2+3*x)^3/(3+5*x)^2
+--R
+--R
+--R 4 3 2
+--R - 54x - 81x - 18x + 20x + 8
+--R (1) ------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 376
+
+--S 377 of 500
+r0:=522/625*x-81/250*x^2-18/25*x^3+(-11/3125)/(3+5*x)+97/3125*log(3+5*x)
+--R
+--R
+--R 4 3 2
+--R (970x + 582)log(5x + 3) - 22500x - 23625x + 20025x + 15660x - 22
+--R (2) -------------------------------------------------------------------
+--R 31250x + 18750
+--R Type: Expression(Integer)
+--E 377
+
+--S 378 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R (970x + 582)log(5x + 3) - 22500x - 23625x + 20025x + 15660x - 22
+--R (3) -------------------------------------------------------------------
+--R 31250x + 18750
+--R Type: Union(Expression(Integer),...)
+--E 378
+
+--S 379 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 379
+
+--S 380 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 380
+
+)clear all
+
+--S 381 of 500
+t0:=(1-2*x)*(2+3*x)^2/(3+5*x)^2
+--R
+--R
+--R 3 2
+--R - 18x - 15x + 4x + 4
+--R (1) ----------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 381
+
+--S 382 of 500
+r0:=33/125*x-9/25*x^2+(-11/625)/(3+5*x)+64/625*log(3+5*x)
+--R
+--R
+--R 3 2
+--R (320x + 192)log(5x + 3) - 1125x + 150x + 495x - 11
+--R (2) ----------------------------------------------------
+--R 3125x + 1875
+--R Type: Expression(Integer)
+--E 382
+
+--S 383 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R (320x + 192)log(5x + 3) - 1125x + 150x + 495x - 11
+--R (3) ----------------------------------------------------
+--R 3125x + 1875
+--R Type: Union(Expression(Integer),...)
+--E 383
+
+--S 384 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 384
+
+--S 385 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 385
+
+)clear all
+
+--S 386 of 500
+t0:=(1-2*x)*(2+3*x)/(3+5*x)^2
+--R
+--R
+--R 2
+--R - 6x - x + 2
+--R (1) --------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 386
+
+--S 387 of 500
+r0:=-6/25*x+(-11/125)/(3+5*x)+31/125*log(3+5*x)
+--R
+--R
+--R 2
+--R (155x + 93)log(5x + 3) - 150x - 90x - 11
+--R (2) -----------------------------------------
+--R 625x + 375
+--R Type: Expression(Integer)
+--E 387
+
+--S 388 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R (155x + 93)log(5x + 3) - 150x - 90x - 11
+--R (3) -----------------------------------------
+--R 625x + 375
+--R Type: Union(Expression(Integer),...)
+--E 388
+
+--S 389 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 389
+
+--S 390 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 390
+
+)clear all
+
+--S 391 of 500
+t0:=(1-2*x)/(3+5*x)^2
+--R
+--R
+--R - 2x + 1
+--R (1) --------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 391
+
+--S 392 of 500
+r0:=(-11/25)/(3+5*x)-2/25*log(3+5*x)
+--R
+--R
+--R (- 10x - 6)log(5x + 3) - 11
+--R (2) ---------------------------
+--R 125x + 75
+--R Type: Expression(Integer)
+--E 392
+
+--S 393 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (- 10x - 6)log(5x + 3) - 11
+--R (3) ---------------------------
+--R 125x + 75
+--R Type: Union(Expression(Integer),...)
+--E 393
+
+--S 394 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 394
+
+--S 395 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 395
+
+)clear all
+
+--S 396 of 500
+t0:=(1-2*x)/((2+3*x)*(3+5*x)^2)
+--R
+--R
+--R - 2x + 1
+--R (1) -----------------------
+--R 3 2
+--R 75x + 140x + 87x + 18
+--R Type: Fraction(Polynomial(Integer))
+--E 396
+
+--S 397 of 500
+r0:=(-11/5)/(3+5*x)+7*log(2+3*x)-7*log(3+5*x)
+--R
+--R
+--R (- 175x - 105)log(5x + 3) + (175x + 105)log(3x + 2) - 11
+--R (2) --------------------------------------------------------
+--R 25x + 15
+--R Type: Expression(Integer)
+--E 397
+
+--S 398 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (- 175x - 105)log(5x + 3) + (175x + 105)log(3x + 2) - 11
+--R (3) --------------------------------------------------------
+--R 25x + 15
+--R Type: Union(Expression(Integer),...)
+--E 398
+
+--S 399 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 399
+
+--S 400 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 400
+
+)clear all
+
+--S 401 of 500
+t0:=(1-2*x)/((2+3*x)^2*(3+5*x)^2)
+--R
+--R
+--R - 2x + 1
+--R (1) ---------------------------------
+--R 4 3 2
+--R 225x + 570x + 541x + 228x + 36
+--R Type: Fraction(Polynomial(Integer))
+--E 401
+
+--S 402 of 500
+r0:=(-7)/(2+3*x)+(-11)/(3+5*x)+68*log(2+3*x)-68*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 2
+--R (- 1020x - 1292x - 408)log(5x + 3) + (1020x + 1292x + 408)log(3x + 2)
+--R +
+--R - 68x - 43
+--R /
+--R 2
+--R 15x + 19x + 6
+--R Type: Expression(Integer)
+--E 402
+
+--S 403 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 2
+--R (- 1020x - 1292x - 408)log(5x + 3) + (1020x + 1292x + 408)log(3x + 2)
+--R +
+--R - 68x - 43
+--R /
+--R 2
+--R 15x + 19x + 6
+--R Type: Union(Expression(Integer),...)
+--E 403
+
+--S 404 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 404
+
+--S 405 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 405
+
+)clear all
+
+--S 406 of 500
+t0:=(1-2*x)/((2+3*x)^3*(3+5*x)^2)
+--R
+--R
+--R - 2x + 1
+--R (1) --------------------------------------------
+--R 5 4 3 2
+--R 675x + 2160x + 2763x + 1766x + 564x + 72
+--R Type: Fraction(Polynomial(Integer))
+--E 406
+
+--S 407 of 500
+r0:=(-7/2)/(2+3*x)^2+(-68)/(2+3*x)+(-55)/(3+5*x)+505*log(2+3*x)-505*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (- 45450x - 87870x - 56560x - 12120)log(5x + 3)
+--R +
+--R 3 2 2
+--R (45450x + 87870x + 56560x + 12120)log(3x + 2) - 3030x - 3939x - 1277
+--R /
+--R 3 2
+--R 90x + 174x + 112x + 24
+--R Type: Expression(Integer)
+--E 407
+
+--S 408 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (- 45450x - 87870x - 56560x - 12120)log(5x + 3)
+--R +
+--R 3 2 2
+--R (45450x + 87870x + 56560x + 12120)log(3x + 2) - 3030x - 3939x - 1277
+--R /
+--R 3 2
+--R 90x + 174x + 112x + 24
+--R Type: Union(Expression(Integer),...)
+--E 408
+
+--S 409 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 409
+
+--S 410 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 410
+
+)clear all
+
+--S 411 of 500
+t0:=(1-2*x)/((2+3*x)^4*(3+5*x)^2)
+--R
+--R
+--R - 2x + 1
+--R (1) ----------------------------------------------------------
+--R 6 5 4 3 2
+--R 2025x + 7830x + 12609x + 10824x + 5224x + 1344x + 144
+--R Type: Fraction(Polynomial(Integer))
+--E 411
+
+--S 412 of 500
+r0:=(-7/3)/(2+3*x)^3+(-34)/(2+3*x)^2+(-505)/(2+3*x)+(-275)/(3+5*x)+_
+ 3350*log(2+3*x)-3350*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (- 1356750x - 3527550x - 3437100x - 1487400x - 241200)log(5x + 3)
+--R +
+--R 4 3 2
+--R (1356750x + 3527550x + 3437100x + 1487400x + 241200)log(3x + 2)
+--R +
+--R 3 2
+--R - 90450x - 177885x - 116513x - 25413
+--R /
+--R 4 3 2
+--R 405x + 1053x + 1026x + 444x + 72
+--R Type: Expression(Integer)
+--E 412
+
+--S 413 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (- 1356750x - 3527550x - 3437100x - 1487400x - 241200)log(5x + 3)
+--R +
+--R 4 3 2
+--R (1356750x + 3527550x + 3437100x + 1487400x + 241200)log(3x + 2)
+--R +
+--R 3 2
+--R - 90450x - 177885x - 116513x - 25413
+--R /
+--R 4 3 2
+--R 405x + 1053x + 1026x + 444x + 72
+--R Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 414
+
+--S 415 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 415
+
+)clear all
+
+--S 416 of 500
+t0:=(1-2*x)/((2+3*x)^5*(3+5*x)^2)
+--R
+--R
+--R - 2x + 1
+--R (1) ----------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 6075x + 27540x + 53487x + 57690x + 37320x + 14480x + 3120x + 288
+--R Type: Fraction(Polynomial(Integer))
+--E 416
+
+--S 417 of 500
+r0:=(-7/4)/(2+3*x)^4+(-68/3)/(2+3*x)^3+(-505/2)/(2+3*x)^2+_
+ (-3350)/(2+3*x)+(-1375)/(3+5*x)+20875*log(2+3*x)-20875*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R - 101452500x - 331411500x - 432864000x - 282564000x - 92184000x
+--R +
+--R - 12024000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R 101452500x + 331411500x + 432864000x + 282564000x + 92184000x
+--R +
+--R 12024000
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R - 6763500x - 17810550x - 17580090x - 7708553x - 1266855
+--R /
+--R 5 4 3 2
+--R 4860x + 15876x + 20736x + 13536x + 4416x + 576
+--R Type: Expression(Integer)
+--E 417
+
+--S 418 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R - 101452500x - 331411500x - 432864000x - 282564000x - 92184000x
+--R +
+--R - 12024000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R 101452500x + 331411500x + 432864000x + 282564000x + 92184000x
+--R +
+--R 12024000
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R - 6763500x - 17810550x - 17580090x - 7708553x - 1266855
+--R /
+--R 5 4 3 2
+--R 4860x + 15876x + 20736x + 13536x + 4416x + 576
+--R Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 419
+
+--S 420 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 420
+
+)clear all
+
+--S 421 of 500
+t0:=(1-2*x)/((2+3*x)^6*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R - 2x + 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 18225x + 94770x + 215541x + 280044x + 227340x + 118080x + 38320x
+--R +
+--R 7104x + 576
+--R Type: Fraction(Polynomial(Integer))
+--E 421
+
+--S 422 of 500
+r0:=(-7/5)/(2+3*x)^5+(-17)/(2+3*x)^4+(-505/3)/(2+3*x)^3+_
+ (-1675)/(2+3*x)^2+(-20875)/(2+3*x)+(-6875)/(3+5*x)+_
+ 125000*log(2+3*x)-125000*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R - 2278125000x - 8960625000x - 14681250000x - 12825000000x
+--R +
+--R 2
+--R - 6300000000x - 1650000000x - 180000000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R 2278125000x + 8960625000x + 14681250000x + 12825000000x
+--R +
+--R 2
+--R 6300000000x + 1650000000x + 180000000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 151875000x - 501187500x - 661387500x - 436271250x - 143844850x
+--R +
+--R - 18964893
+--R /
+--R 6 5 4 3 2
+--R 18225x + 71685x + 117450x + 102600x + 50400x + 13200x + 1440
+--R Type: Expression(Integer)
+--E 422
+
+--S 423 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R - 2278125000x - 8960625000x - 14681250000x - 12825000000x
+--R +
+--R 2
+--R - 6300000000x - 1650000000x - 180000000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R 2278125000x + 8960625000x + 14681250000x + 12825000000x
+--R +
+--R 2
+--R 6300000000x + 1650000000x + 180000000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 151875000x - 501187500x - 661387500x - 436271250x - 143844850x
+--R +
+--R - 18964893
+--R /
+--R 6 5 4 3 2
+--R 18225x + 71685x + 117450x + 102600x + 50400x + 13200x + 1440
+--R Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 424
+
+--S 425 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 425
+
+)clear all
+
+--S 426 of 500
+t0:=(1-2*x)/((2+3*x)^7*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R - 2x + 1
+--R /
+--R 9 8 7 6 5 4
+--R 54675x + 320760x + 836163x + 1271214x + 1242108x + 808920x
+--R +
+--R 3 2
+--R 351120x + 97952x + 15936x + 1152
+--R Type: Fraction(Polynomial(Integer))
+--E 426
+
+--S 427 of 500
+r0:=(-7/6)/(2+3*x)^6+(-68/5)/(2+3*x)^5+(-505/4)/(2+3*x)^4+_
+ (-3350/3)/(2+3*x)^3+(-20875/2)/(2+3*x)^2+(-125000)/(2+3*x)+_
+ (-34375)/(3+5*x)+728125*log(2+3*x)-728125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5 4
+--R - 53080312500x - 244169437500x - 481261500000x - 526871250000x
+--R +
+--R 3 2
+--R - 346005000000x - 136305000000x - 29824000000x - 2796000000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5 4
+--R 53080312500x + 244169437500x + 481261500000x + 526871250000x
+--R +
+--R 3 2
+--R 346005000000x + 136305000000x + 29824000000x + 2796000000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 3538687500x - 14036793750x - 23195441250x - 20438672625x
+--R +
+--R 2
+--R - 10128331755x - 2676272018x - 294588002
+--R /
+--R 7 6 5 4 3 2
+--R 72900x + 335340x + 660960x + 723600x + 475200x + 187200x + 40960x
+--R +
+--R 3840
+--R Type: Expression(Integer)
+--E 427
+
+--S 428 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R - 53080312500x - 244169437500x - 481261500000x - 526871250000x
+--R +
+--R 3 2
+--R - 346005000000x - 136305000000x - 29824000000x - 2796000000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5 4
+--R 53080312500x + 244169437500x + 481261500000x + 526871250000x
+--R +
+--R 3 2
+--R 346005000000x + 136305000000x + 29824000000x + 2796000000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 3538687500x - 14036793750x - 23195441250x - 20438672625x
+--R +
+--R 2
+--R - 10128331755x - 2676272018x - 294588002
+--R /
+--R 7 6 5 4 3 2
+--R 72900x + 335340x + 660960x + 723600x + 475200x + 187200x + 40960x
+--R +
+--R 3840
+--R Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 429
+
+--S 430 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 430
+
+)clear all
+
+--S 431 of 500
+t0:=(1-2*x)*(2+3*x)^m/(3+5*x)^3
+--R
+--R
+--R m
+--R (- 2x + 1)(3x + 2)
+--R (1) -------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Expression(Integer)
+--E 431
+
+--S 432 of 500
+--r0:=-11/10*(2+3*x)^(1+m)/(3+5*x)^2+1/10*(37-33*m)*(2+3*x)^(1+m)/(3+5*x)+_
+-- 3/10*(37-33*m)*m*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 432
+
+--S 433 of 500
+--a0:=integrate(t0,x)
+--E 433
+
+--S 434 of 500
+--m0:=a0-r0
+--E 434
+
+--S 435 of 500
+--d0:=D(m0,x)
+--E 435
+
+)clear all
+
+--S 436 of 500
+t0:=(1-2*x)*(2+3*x)^7/(3+5*x)^3
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 4374x - 18225x - 30618x - 24948x - 7560x + 3024x + 3360x + 1088x
+--R +
+--R 128
+--R /
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 436
+
+--S 437 of 500
+r0:=1851147/390625*x+129654/15625*x^2+2052/3125*x^3-181521/12500*x^4-_
+ 51759/3125*x^5-729/125*x^6+(-11/3906250)/(3+5*x)^2+_
+ (-229/1953125)/(3+5*x)+2037/1953125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 8 7
+--R (203700x + 244440x + 73332)log(5x + 3) - 1139062500x - 4601812500x
+--R +
+--R 6 5 4 3 2
+--R - 7128253125x - 4439846250x + 753519375x + 2916553500x + 1694131200x
+--R +
+--R 333201880x - 2770
+--R /
+--R 2
+--R 195312500x + 234375000x + 70312500
+--R Type: Expression(Integer)
+--E 437
+
+--S 438 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 8 7
+--R (203700x + 244440x + 73332)log(5x + 3) - 1139062500x - 4601812500x
+--R +
+--R 6 5 4 3 2
+--R - 7128253125x - 4439846250x + 753519375x + 2916553500x + 1694131200x
+--R +
+--R 333201880x - 2770
+--R /
+--R 2
+--R 195312500x + 234375000x + 70312500
+--R Type: Union(Expression(Integer),...)
+--E 438
+
+--S 439 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 439
+
+--S 440 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 440
+
+)clear all
+
+--S 441 of 500
+t0:=(1-2*x)*(2+3*x)^6/(3+5*x)^3
+--R
+--R
+--R 7 6 5 4 2
+--R - 1458x - 5103x - 6804x - 3780x + 1008x + 448x + 64
+--R (1) --------------------------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 441
+
+--S 442 of 500
+r0:=36936/15625*x+297/125*x^2-6399/3125*x^3-12393/2500*x^4-_
+ 1458/625*x^5+(-11/781250)/(3+5*x)^2+(-196/390625)/(3+5*x)+_
+ 1449/390625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 7 6
+--R (144900x + 173880x + 52164)log(5x + 3) - 91125000x - 302990625x
+--R +
+--R 5 4 3 2
+--R - 345161250x - 72883125x + 174919500x + 144220500x + 33238480x - 2374
+--R /
+--R 2
+--R 39062500x + 46875000x + 14062500
+--R Type: Expression(Integer)
+--E 442
+
+--S 443 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 7 6
+--R (144900x + 173880x + 52164)log(5x + 3) - 91125000x - 302990625x
+--R +
+--R 5 4 3 2
+--R - 345161250x - 72883125x + 174919500x + 144220500x + 33238480x - 2374
+--R /
+--R 2
+--R 39062500x + 46875000x + 14062500
+--R Type: Union(Expression(Integer),...)
+--E 443
+
+--S 444 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 444
+
+--S 445 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 445
+
+)clear all
+
+--S 446 of 500
+t0:=(1-2*x)*(2+3*x)^5/(3+5*x)^3
+--R
+--R
+--R 6 5 4 3 2
+--R - 486x - 1377x - 1350x - 360x + 240x + 176x + 32
+--R (1) -----------------------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 446
+
+--S 447 of 500
+r0:=3636/3125*x+1971/6250*x^2-837/625*x^3-243/250*x^4+_
+ (-11/156250)/(3+5*x)^2+(-163/78125)/(3+5*x)+192/15625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 6 5 4
+--R (48000x + 57600x + 17280)log(5x + 3) - 3796875x - 9787500x - 6412500x
+--R +
+--R 3 2
+--R 4140000x + 5897475x + 1634570x - 989
+--R /
+--R 2
+--R 3906250x + 4687500x + 1406250
+--R Type: Expression(Integer)
+--E 447
+
+--S 448 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 6 5 4
+--R (48000x + 57600x + 17280)log(5x + 3) - 3796875x - 9787500x - 6412500x
+--R +
+--R 3 2
+--R 4140000x + 5897475x + 1634570x - 989
+--R /
+--R 2
+--R 3906250x + 4687500x + 1406250
+--R Type: Union(Expression(Integer),...)
+--E 448
+
+--S 449 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 449
+
+--S 450 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 450
+
+)clear all
+
+--S 451 of 500
+t0:=(1-2*x)*(2+3*x)^4/(3+5*x)^3
+--R
+--R
+--R 5 4 3 2
+--R - 162x - 351x - 216x + 24x + 64x + 16
+--R (1) -----------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 451
+
+--S 452 of 500
+r0:=1647/3125*x-297/1250*x^2-54/125*x^3+(-11/31250)/(3+5*x)^2+_
+ (-26/3125)/(3+5*x)+114/3125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 5 4 3
+--R (28500x + 34200x + 10260)log(5x + 3) - 337500x - 590625x + 67500x
+--R +
+--R 2
+--R 427275x + 146930x - 791
+--R /
+--R 2
+--R 781250x + 937500x + 281250
+--R Type: Expression(Integer)
+--E 452
+
+--S 453 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 5 4 3
+--R (28500x + 34200x + 10260)log(5x + 3) - 337500x - 590625x + 67500x
+--R +
+--R 2
+--R 427275x + 146930x - 791
+--R /
+--R 2
+--R 781250x + 937500x + 281250
+--R Type: Union(Expression(Integer),...)
+--E 453
+
+--S 454 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 454
+
+--S 455 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 455
+
+)clear all
+
+--S 456 of 500
+t0:=(1-2*x)*(2+3*x)^3/(3+5*x)^3
+--R
+--R
+--R 4 3 2
+--R - 54x - 81x - 18x + 20x + 8
+--R (1) ------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 456
+
+--S 457 of 500
+r0:=81/625*x-27/125*x^2+(-11/6250)/(3+5*x)^2+(-97/3125)/(3+5*x)+_
+ 279/3125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 4 3 2
+--R (13950x + 16740x + 5022)log(5x + 3) - 33750x - 20250x + 12150x
+--R +
+--R 6320x - 593
+--R /
+--R 2
+--R 156250x + 187500x + 56250
+--R Type: Expression(Integer)
+--E 457
+
+--S 458 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 4 3 2
+--R (13950x + 16740x + 5022)log(5x + 3) - 33750x - 20250x + 12150x
+--R +
+--R 6320x - 593
+--R /
+--R 2
+--R 156250x + 187500x + 56250
+--R Type: Union(Expression(Integer),...)
+--E 458
+
+--S 459 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 459
+
+--S 460 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 460
+
+)clear all
+
+--S 461 of 500
+t0:=(1-2*x)*(2+3*x)^2/(3+5*x)^3
+--R
+--R
+--R 3 2
+--R - 18x - 15x + 4x + 4
+--R (1) -------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 461
+
+--S 462 of 500
+r0:=-18/125*x+(-11/1250)/(3+5*x)^2+(-64/625)/(3+5*x)+87/625*log(3+5*x)
+--R
+--R
+--R 2 3 2
+--R (4350x + 5220x + 1566)log(5x + 3) - 4500x - 5400x - 2260x - 395
+--R (2) ------------------------------------------------------------------
+--R 2
+--R 31250x + 37500x + 11250
+--R Type: Expression(Integer)
+--E 462
+
+--S 463 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2 3 2
+--R (4350x + 5220x + 1566)log(5x + 3) - 4500x - 5400x - 2260x - 395
+--R (3) ------------------------------------------------------------------
+--R 2
+--R 31250x + 37500x + 11250
+--R Type: Union(Expression(Integer),...)
+--E 463
+
+--S 464 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 464
+
+--S 465 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 465
+
+)clear all
+
+--S 466 of 500
+t0:=(1-2*x)*(2+3*x)/(3+5*x)^3
+--R
+--R
+--R 2
+--R - 6x - x + 2
+--R (1) -------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 466
+
+--S 467 of 500
+r0:=(-11/250)/(3+5*x)^2+(-31/125)/(3+5*x)-6/125*log(3+5*x)
+--R
+--R
+--R 2
+--R (- 300x - 360x - 108)log(5x + 3) - 310x - 197
+--R (2) ----------------------------------------------
+--R 2
+--R 6250x + 7500x + 2250
+--R Type: Expression(Integer)
+--E 467
+
+--S 468 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R (- 300x - 360x - 108)log(5x + 3) - 310x - 197
+--R (3) ----------------------------------------------
+--R 2
+--R 6250x + 7500x + 2250
+--R Type: Union(Expression(Integer),...)
+--E 468
+
+--S 469 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 469
+
+--S 470 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 470
+
+)clear all
+
+--S 471 of 500
+t0:=(1-2*x)/(3+5*x)^3
+--R
+--R
+--R - 2x + 1
+--R (1) -------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 471
+
+--S 472 of 500
+r0:=-1/22*(1-2*x)^2/(3+5*x)^2
+--R
+--R
+--R 2 2 2 1
+--R - --- x + --- x - ---
+--R 275 275 550
+--R (2) ----------------------
+--R 2 6 9
+--R x + - x + --
+--R 5 25
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 472
+
+--S 473 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 20x + 1
+--R (3) --------------------
+--R 2
+--R 1250x + 1500x + 450
+--R Type: Union(Expression(Integer),...)
+--E 473
+
+--S 474 of 500
+m0:=a0-r0
+--R
+--R
+--R 2
+--R (4) ---
+--R 275
+--R Type: Expression(Integer)
+--E 474
+
+--S 475 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 475
+
+)clear all
+
+--S 476 of 500
+t0:=(1-2*x)/((2+3*x)*(3+5*x)^3)
+--R
+--R
+--R - 2x + 1
+--R (1) ---------------------------------
+--R 4 3 2
+--R 375x + 925x + 855x + 351x + 54
+--R Type: Fraction(Polynomial(Integer))
+--E 476
+
+--S 477 of 500
+r0:=(-11/10)/(3+5*x)^2+7/(3+5*x)-21*log(2+3*x)+21*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 2
+--R (5250x + 6300x + 1890)log(5x + 3) + (- 5250x - 6300x - 1890)log(3x + 2)
+--R +
+--R 350x + 199
+--R /
+--R 2
+--R 250x + 300x + 90
+--R Type: Expression(Integer)
+--E 477
+
+--S 478 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 2
+--R (5250x + 6300x + 1890)log(5x + 3) + (- 5250x - 6300x - 1890)log(3x + 2)
+--R +
+--R 350x + 199
+--R /
+--R 2
+--R 250x + 300x + 90
+--R Type: Union(Expression(Integer),...)
+--E 478
+
+--S 479 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 479
+
+--S 480 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 480
+
+)clear all
+
+--S 481 of 500
+t0:=(1-2*x)/((2+3*x)^2*(3+5*x)^3)
+--R
+--R
+--R - 2x + 1
+--R (1) ----------------------------------------------
+--R 5 4 3 2
+--R 1125x + 3525x + 4415x + 2763x + 864x + 108
+--R Type: Fraction(Polynomial(Integer))
+--E 481
+
+--S 482 of 500
+r0:=21/(2+3*x)+(-11/2)/(3+5*x)^2+68/(3+5*x)-309*log(2+3*x)+309*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (46350x + 86520x + 53766x + 11124)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 46350x - 86520x - 53766x - 11124)log(3x + 2) + 3090x + 3811x + 1172
+--R /
+--R 3 2
+--R 150x + 280x + 174x + 36
+--R Type: Expression(Integer)
+--E 482
+
+--S 483 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (46350x + 86520x + 53766x + 11124)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 46350x - 86520x - 53766x - 11124)log(3x + 2) + 3090x + 3811x + 1172
+--R /
+--R 3 2
+--R 150x + 280x + 174x + 36
+--R Type: Union(Expression(Integer),...)
+--E 483
+
+--S 484 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 484
+
+--S 485 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 485
+
+)clear all
+
+--S 486 of 500
+t0:=(1-2*x)/((2+3*x)^3*(3+5*x)^3)
+--R
+--R
+--R - 2x + 1
+--R (1) -----------------------------------------------------------
+--R 6 5 4 3 2
+--R 3375x + 12825x + 20295x + 17119x + 8118x + 2052x + 216
+--R Type: Fraction(Polynomial(Integer))
+--E 486
+
+--S 487 of 500
+r0:=21/2/(2+3*x)^2+309/(2+3*x)+(-55/2)/(3+5*x)^2+505/(3+5*x)-_
+ 3060*log(2+3*x)+3060*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (1377000x + 3488400x + 3310920x + 1395360x + 220320)log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 1377000x - 3488400x - 3310920x - 1395360x - 220320)log(3x + 2)
+--R +
+--R 3 2
+--R 91800x + 174420x + 110296x + 23213
+--R /
+--R 4 3 2
+--R 450x + 1140x + 1082x + 456x + 72
+--R Type: Expression(Integer)
+--E 487
+
+--S 488 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (1377000x + 3488400x + 3310920x + 1395360x + 220320)log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 1377000x - 3488400x - 3310920x - 1395360x - 220320)log(3x + 2)
+--R +
+--R 3 2
+--R 91800x + 174420x + 110296x + 23213
+--R /
+--R 4 3 2
+--R 450x + 1140x + 1082x + 456x + 72
+--R Type: Union(Expression(Integer),...)
+--E 488
+
+--S 489 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 489
+
+--S 490 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 490
+
+)clear all
+
+--S 491 of 500
+t0:=(1-2*x)/((2+3*x)^4*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R - 2x + 1
+--R -----------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 10125x + 45225x + 86535x + 91947x + 58592x + 22392x + 4752x + 432
+--R Type: Fraction(Polynomial(Integer))
+--E 491
+
+--S 492 of 500
+r0:=7/(2+3*x)^3+309/2/(2+3*x)^2+3060/(2+3*x)+(-275/2)/(3+5*x)^2+3350/(3+5*x)-_
+ 25350*log(2+3*x)+25350*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R 34222500x + 109512000x + 140084100x + 89536200x + 28594800x
+--R +
+--R 3650400
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 34222500x - 109512000x - 140084100x - 89536200x - 28594800x
+--R +
+--R - 3650400
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 2281500x + 5855850x + 5631080x + 2404363x + 384608
+--R /
+--R 5 4 3 2
+--R 1350x + 4320x + 5526x + 3532x + 1128x + 144
+--R Type: Expression(Integer)
+--E 492
+
+--S 493 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 34222500x + 109512000x + 140084100x + 89536200x + 28594800x
+--R +
+--R 3650400
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 34222500x - 109512000x - 140084100x - 89536200x - 28594800x
+--R +
+--R - 3650400
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 2281500x + 5855850x + 5631080x + 2404363x + 384608
+--R /
+--R 5 4 3 2
+--R 1350x + 4320x + 5526x + 3532x + 1128x + 144
+--R Type: Union(Expression(Integer),...)
+--E 493
+
+--S 494 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 494
+
+--S 495 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 495
+
+)clear all
+
+--S 496 of 500
+t0:=(1-2*x)/((2+3*x)^5*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R - 2x + 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 30375x + 155925x + 350055x + 448911x + 359670x + 184360x + 59040x
+--R +
+--R 10800x + 864
+--R Type: Fraction(Polynomial(Integer))
+--E 496
+
+--S 497 of 500
+r0:=21/4/(2+3*x)^4+103/(2+3*x)^3+1530/(2+3*x)^2+25350/(2+3*x)+_
+ (-1375/2)/(3+5*x)^2+20875/(3+5*x)-189375*log(2+3*x)+189375*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 1533937500x + 5931225000x + 9551317500x + 8199180000x
+--R +
+--R 2
+--R 3957180000x + 1018080000x + 109080000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 1533937500x - 5931225000x - 9551317500x - 8199180000x
+--R +
+--R 2
+--R - 3957180000x - 1018080000x - 109080000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 102262500x + 330648750x + 427381500x + 276035525x + 89085434x
+--R +
+--R 11492725
+--R /
+--R 6 5 4 3 2
+--R 8100x + 31320x + 50436x + 43296x + 20896x + 5376x + 576
+--R Type: Expression(Integer)
+--E 497
+
+--S 498 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 1533937500x + 5931225000x + 9551317500x + 8199180000x
+--R +
+--R 2
+--R 3957180000x + 1018080000x + 109080000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 1533937500x - 5931225000x - 9551317500x - 8199180000x
+--R +
+--R 2
+--R - 3957180000x - 1018080000x - 109080000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 102262500x + 330648750x + 427381500x + 276035525x + 89085434x
+--R +
+--R 11492725
+--R /
+--R 6 5 4 3 2
+--R 8100x + 31320x + 50436x + 43296x + 20896x + 5376x + 576
+--R Type: Union(Expression(Integer),...)
+--E 498
+
+--S 499 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 499
+
+--S 500 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 500
+
+)spool
+)lisp (bye)
+
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff --git a/src/axiom-website/CATS/rich3d.input.pdf b/src/axiom-website/CATS/rich3d.input.pdf
new file mode 100644
index 0000000..727fc1b
Binary files /dev/null and b/src/axiom-website/CATS/rich3d.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3e.input.pamphlet b/src/axiom-website/CATS/rich3e.input.pamphlet
new file mode 100644
index 0000000..9146b9c
--- /dev/null
+++ b/src/axiom-website/CATS/rich3e.input.pamphlet
@@ -0,0 +1,6307 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input rich3e.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\verb|(a+b x)^m (c+d)^n (e+f x)^p|
+There are:
+\begin{itemize}
+\item 249 integrals in this file.
+\item 249 supplied "optimal results".
+\item 230 matching answers.
+\item 24 cases where Axiom supplied 2 results.
+\item 34 cases that Axiom failed to integrate.
+\item 6 that contain expressions Axiom does not recognize.
+\end{itemize}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f rich3e.output
+)spool rich3e.output
+)set message test on
+)set message auto off
+)clear all
+
+--S 1 of 500
+t0:=(1-2*x)/((2+3*x)^6*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R - 2x + 1
+--R /
+--R 9 8 7 6 5 4
+--R 91125x + 528525x + 1362015x + 2046843x + 1976832x + 1272420x
+--R +
+--R 3 2
+--R 545840x + 150480x + 24192x + 1728
+--R Type: Fraction(Polynomial(Integer))
+--E 1
+
+--S 2 of 500
+r0:=21/5/(2+3*x)^5+309/4/(2+3*x)^4+1020/(2+3*x)^3+12675/(2+3*x)^2+_
+ 189375/(2+3*x)+(-6875/2)/(3+5*x)^2+125000/(3+5*x)-_
+ 1321875*log(2+3*x)+1321875*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5 4
+--R 160607812500x + 728088750000x + 1414062562500x + 1525179375000x
+--R +
+--R 3 2
+--R 986647500000x + 382815000000x + 82485000000x + 7614000000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5 4
+--R - 160607812500x - 728088750000x - 1414062562500x - 1525179375000x
+--R +
+--R 3 2
+--R - 986647500000x - 382815000000x - 82485000000x - 7614000000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 10707187500x + 41758031250x + 67828050000x + 58733814375x
+--R +
+--R 2
+--R 28595335800x + 7421662135x + 802214966
+--R /
+--R 7 6 5 4 3 2
+--R 121500x + 550800x + 1069740x + 1153800x + 746400x + 289600x
+--R +
+--R 62400x + 5760
+--R Type: Expression(Integer)
+--E 2
+
+--S 3 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R 160607812500x + 728088750000x + 1414062562500x + 1525179375000x
+--R +
+--R 3 2
+--R 986647500000x + 382815000000x + 82485000000x + 7614000000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5 4
+--R - 160607812500x - 728088750000x - 1414062562500x - 1525179375000x
+--R +
+--R 3 2
+--R - 986647500000x - 382815000000x - 82485000000x - 7614000000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 10707187500x + 41758031250x + 67828050000x + 58733814375x
+--R +
+--R 2
+--R 28595335800x + 7421662135x + 802214966
+--R /
+--R 7 6 5 4 3 2
+--R 121500x + 550800x + 1069740x + 1153800x + 746400x + 289600x
+--R +
+--R 62400x + 5760
+--R Type: Union(Expression(Integer),...)
+--E 3
+
+--S 4 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 4
+
+--S 5 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 5
+
+)clear all
+
+--S 6 of 500
+t0:=(1-2*x)^2*(2+3*x)^8*(3+5*x)
+--R
+--R
+--R (1)
+--R 11 10 9 8 7 6
+--R 131220x + 647352x + 1307097x + 1298835x + 476928x - 275184x
+--R +
+--R 5 4 3 2
+--R - 372960x - 134112x + 12800x + 24832x + 7424x + 768
+--R Type: Polynomial(Integer)
+--E 6
+
+--S 7 of 500
+r0:=-49/729*(2+3*x)^9+91/270*(2+3*x)^10-16/99*(2+3*x)^11+5/243*(2+3*x)^12
+--R
+--R
+--R (2)
+--R 12 647352 11 1307097 10 9 8 7
+--R 10935x + ------ x + ------- x + 144315x + 59616x - 39312x
+--R 11 10
+--R +
+--R 6 134112 5 4 24832 3 2 2566144
+--R - 62160x - ------ x + 3200x + ----- x + 3712x + 768x + -------
+--R 5 3 40095
+--R Type: Polynomial(Fraction(Integer))
+--E 7
+
+--S 8 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 12 647352 11 1307097 10 9 8 7
+--R 10935x + ------ x + ------- x + 144315x + 59616x - 39312x
+--R 11 10
+--R +
+--R 6 134112 5 4 24832 3 2
+--R - 62160x - ------ x + 3200x + ----- x + 3712x + 768x
+--R 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 8
+
+--S 9 of 500
+m0:=a0-r0
+--R
+--R
+--R 2566144
+--R (4) - -------
+--R 40095
+--R Type: Polynomial(Fraction(Integer))
+--E 9
+
+--S 10 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 10
+
+)clear all
+
+--S 11 of 500
+t0:=(1-2*x)^2*(2+3*x)^7*(3+5*x)
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5 4
+--R 43740x + 186624x + 311283x + 225423x + 8694x - 97524x - 59304x
+--R +
+--R 3 2
+--R - 5168x + 7712x + 3136x + 384
+--R Type: Polynomial(Integer)
+--E 11
+
+--S 12 of 500
+r0:=-49/648*(2+3*x)^8+91/243*(2+3*x)^9-8/45*(2+3*x)^10+20/891*(2+3*x)^11
+--R
+--R
+--R (2)
+--R 43740 11 93312 10 9 225423 8 7 6 59304 5
+--R ----- x + ----- x + 34587x + ------ x + 1242x - 16254x - ----- x
+--R 11 5 8 5
+--R +
+--R 4 7712 3 2 485216
+--R - 1292x + ---- x + 1568x + 384x + ------
+--R 3 13365
+--R Type: Polynomial(Fraction(Integer))
+--E 12
+
+--S 13 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 43740 11 93312 10 9 225423 8 7 6 59304 5
+--R ----- x + ----- x + 34587x + ------ x + 1242x - 16254x - ----- x
+--R 11 5 8 5
+--R +
+--R 4 7712 3 2
+--R - 1292x + ---- x + 1568x + 384x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 13
+
+--S 14 of 500
+m0:=a0-r0
+--R
+--R
+--R 485216
+--R (4) - ------
+--R 13365
+--R Type: Polynomial(Fraction(Integer))
+--E 14
+
+--S 15 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 15
+
+)clear all
+
+--S 16 of 500
+t0:=(1-2*x)^2*(2+3*x)^6*(3+5*x)
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3 2
+--R 14580x + 52488x + 68769x + 29295x - 16632x - 21420x - 5488x + 1936x
+--R +
+--R 1280x + 192
+--R Type: Polynomial(Integer)
+--E 16
+
+--S 17 of 500
+r0:=192*x+640*x^2+1936/3*x^3-1372*x^4-4284*x^5-2772*x^6+4185*x^7+_
+ 68769/8*x^8+5832*x^9+1458*x^10
+--R
+--R
+--R (2)
+--R 10 9 68769 8 7 6 5 4 1936 3
+--R 1458x + 5832x + ----- x + 4185x - 2772x - 4284x - 1372x + ---- x
+--R 8 3
+--R +
+--R 2
+--R 640x + 192x
+--R Type: Polynomial(Fraction(Integer))
+--E 17
+
+--S 18 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 68769 8 7 6 5 4 1936 3
+--R 1458x + 5832x + ----- x + 4185x - 2772x - 4284x - 1372x + ---- x
+--R 8 3
+--R +
+--R 2
+--R 640x + 192x
+--R Type: Polynomial(Fraction(Integer))
+--E 18
+
+--S 19 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 19
+
+--S 20 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 20
+
+)clear all
+
+--S 21 of 500
+t0:=(1-2*x)^2*(2+3*x)^5*(3+5*x)
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R 4860x + 14256x + 13419x + 819x - 6090x - 3080x + 224x + 496x + 96
+--R Type: Polynomial(Integer)
+--E 21
+
+--S 22 of 500
+r0:=96*x+248*x^2+224/3*x^3-770*x^4-1218*x^5+273/2*x^6+1917*x^7+1782*x^8+540*x^9
+--R
+--R
+--R (2)
+--R 9 8 7 273 6 5 4 224 3 2
+--R 540x + 1782x + 1917x + --- x - 1218x - 770x + --- x + 248x + 96x
+--R 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 22
+
+--S 23 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8 7 273 6 5 4 224 3 2
+--R 540x + 1782x + 1917x + --- x - 1218x - 770x + --- x + 248x + 96x
+--R 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 23
+
+--S 24 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 24
+
+--S 25 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 25
+
+)clear all
+
+--S 26 of 500
+t0:=(1-2*x)^2*(2+3*x)^4*(3+5*x)
+--R
+--R
+--R 7 6 5 4 3 2
+--R (1) 1620x + 3672x + 2025x - 1077x - 1312x - 152x + 176x + 48
+--R Type: Polynomial(Integer)
+--E 26
+
+--S 27 of 500
+r0:=48*x+88*x^2-152/3*x^3-328*x^4-1077/5*x^5+675/2*x^6+3672/7*x^7+405/2*x^8
+--R
+--R
+--R 405 8 3672 7 675 6 1077 5 4 152 3 2
+--R (2) --- x + ---- x + --- x - ---- x - 328x - --- x + 88x + 48x
+--R 2 7 2 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 27
+
+--S 28 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 405 8 3672 7 675 6 1077 5 4 152 3 2
+--R (3) --- x + ---- x + --- x - ---- x - 328x - --- x + 88x + 48x
+--R 2 7 2 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 28
+
+--S 29 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 29
+
+--S 30 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 30
+
+)clear all
+
+--S 31 of 500
+t0:=(1-2*x)^2*(2+3*x)^3*(3+5*x)
+--R
+--R
+--R 6 5 4 3 2
+--R (1) 540x + 864x + 99x - 425x - 154x + 52x + 24
+--R Type: Polynomial(Integer)
+--E 31
+
+--S 32 of 500
+r0:=24*x+26*x^2-154/3*x^3-425/4*x^4+99/5*x^5+144*x^6+540/7*x^7
+--R
+--R
+--R 540 7 6 99 5 425 4 154 3 2
+--R (2) --- x + 144x + -- x - --- x - --- x + 26x + 24x
+--R 7 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 32
+
+--S 33 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 540 7 6 99 5 425 4 154 3 2
+--R (3) --- x + 144x + -- x - --- x - --- x + 26x + 24x
+--R 7 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 33
+
+--S 34 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 34
+
+--S 35 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 35
+
+)clear all
+
+--S 36 of 500
+t0:=(1-2*x)^2*(2+3*x)^2*(3+5*x)
+--R
+--R
+--R 5 4 3 2
+--R (1) 180x + 168x - 79x - 89x + 8x + 12
+--R Type: Polynomial(Integer)
+--E 36
+
+--S 37 of 500
+r0:=12*x+4*x^2-89/3*x^3-79/4*x^4+168/5*x^5+30*x^6
+--R
+--R
+--R 6 168 5 79 4 89 3 2
+--R (2) 30x + --- x - -- x - -- x + 4x + 12x
+--R 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 37
+
+--S 38 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 6 168 5 79 4 89 3 2
+--R (3) 30x + --- x - -- x - -- x + 4x + 12x
+--R 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 38
+
+--S 39 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 39
+
+--S 40 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 40
+
+)clear all
+
+--S 41 of 500
+t0:=(1-2*x)^2*(2+3*x)*(3+5*x)
+--R
+--R
+--R 4 3 2
+--R (1) 60x + 16x - 37x - 5x + 6
+--R Type: Polynomial(Integer)
+--E 41
+
+--S 42 of 500
+r0:=6*x-5/2*x^2-37/3*x^3+4*x^4+12*x^5
+--R
+--R
+--R 5 4 37 3 5 2
+--R (2) 12x + 4x - -- x - - x + 6x
+--R 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 42
+
+--S 43 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 37 3 5 2
+--R (3) 12x + 4x - -- x - - x + 6x
+--R 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 43
+
+--S 44 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 44
+
+--S 45 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 45
+
+)clear all
+
+--S 46 of 500
+t0:=(1-2*x)^2*(3+5*x)
+--R
+--R
+--R 3 2
+--R (1) 20x - 8x - 7x + 3
+--R Type: Polynomial(Integer)
+--E 46
+
+--S 47 of 500
+r0:=3*x-7/2*x^2-8/3*x^3+5*x^4
+--R
+--R
+--R 4 8 3 7 2
+--R (2) 5x - - x - - x + 3x
+--R 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 47
+
+--S 48 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 8 3 7 2
+--R (3) 5x - - x - - x + 3x
+--R 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 48
+
+--S 49 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 49
+
+--S 50 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 50
+
+)clear all
+
+--S 51 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)
+--R
+--R
+--R 3 2
+--R 20x - 8x - 7x + 3
+--R (1) -------------------
+--R 3x + 2
+--R Type: Fraction(Polynomial(Integer))
+--E 51
+
+--S 52 of 500
+r0:=65/27*x-32/9*x^2+20/9*x^3-49/81*log(2+3*x)
+--R
+--R
+--R 3 2
+--R - 49log(3x + 2) + 180x - 288x + 195x
+--R (2) --------------------------------------
+--R 81
+--R Type: Expression(Integer)
+--E 52
+
+--S 53 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R - 49log(3x + 2) + 180x - 288x + 195x
+--R (3) --------------------------------------
+--R 81
+--R Type: Union(Expression(Integer),...)
+--E 53
+
+--S 54 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 54
+
+--S 55 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 55
+
+)clear all
+
+--S 56 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^2
+--R
+--R
+--R 3 2
+--R 20x - 8x - 7x + 3
+--R (1) -------------------
+--R 2
+--R 9x + 12x + 4
+--R Type: Fraction(Polynomial(Integer))
+--E 56
+
+--S 57 of 500
+r0:=-104/27*x+10/9*x^2+49/81/(2+3*x)+91/27*log(2+3*x)
+--R
+--R
+--R 3 2
+--R (819x + 546)log(3x + 2) + 270x - 756x - 624x + 49
+--R (2) ---------------------------------------------------
+--R 243x + 162
+--R Type: Expression(Integer)
+--E 57
+
+--S 58 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R (819x + 546)log(3x + 2) + 270x - 756x - 624x + 49
+--R (3) ---------------------------------------------------
+--R 243x + 162
+--R Type: Union(Expression(Integer),...)
+--E 58
+
+--S 59 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 59
+
+--S 60 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 60
+
+)clear all
+
+--S 61 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^3
+--R
+--R
+--R 3 2
+--R 20x - 8x - 7x + 3
+--R (1) ---------------------
+--R 3 2
+--R 27x + 54x + 36x + 8
+--R Type: Fraction(Polynomial(Integer))
+--E 61
+
+--S 62 of 500
+r0:=20/27*x+49/162/(2+3*x)^2+(-91/27)/(2+3*x)-16/9*log(2+3*x)
+--R
+--R
+--R 2 3 2
+--R (- 2592x - 3456x - 1152)log(3x + 2) + 1080x + 1440x - 1158x - 1043
+--R (2) ---------------------------------------------------------------------
+--R 2
+--R 1458x + 1944x + 648
+--R Type: Expression(Integer)
+--E 62
+
+--S 63 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2 3 2
+--R (- 2592x - 3456x - 1152)log(3x + 2) + 1080x + 1440x - 1158x - 1043
+--R (3) ---------------------------------------------------------------------
+--R 2
+--R 1458x + 1944x + 648
+--R Type: Union(Expression(Integer),...)
+--E 63
+
+--S 64 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 64
+
+--S 65 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 65
+
+)clear all
+
+--S 66 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^4
+--R
+--R
+--R 3 2
+--R 20x - 8x - 7x + 3
+--R (1) -------------------------------
+--R 4 3 2
+--R 81x + 216x + 216x + 96x + 16
+--R Type: Fraction(Polynomial(Integer))
+--E 66
+
+--S 67 of 500
+r0:=49/243/(2+3*x)^3+(-91/54)/(2+3*x)^2+16/9/(2+3*x)+20/81*log(2+3*x)
+--R
+--R
+--R 3 2 2
+--R (3240x + 6480x + 4320x + 960)log(3x + 2) + 7776x + 7911x + 1916
+--R (2) ------------------------------------------------------------------
+--R 3 2
+--R 13122x + 26244x + 17496x + 3888
+--R Type: Expression(Integer)
+--E 67
+
+--S 68 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2 2
+--R (3240x + 6480x + 4320x + 960)log(3x + 2) + 7776x + 7911x + 1916
+--R (3) ------------------------------------------------------------------
+--R 3 2
+--R 13122x + 26244x + 17496x + 3888
+--R Type: Union(Expression(Integer),...)
+--E 68
+
+--S 69 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 69
+
+--S 70 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 70
+
+)clear all
+
+--S 71 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^5
+--R
+--R
+--R 3 2
+--R 20x - 8x - 7x + 3
+--R (1) ------------------------------------------
+--R 5 4 3 2
+--R 243x + 810x + 1080x + 720x + 240x + 32
+--R Type: Fraction(Polynomial(Integer))
+--E 71
+
+--S 72 of 500
+r0:=1/84*(1-2*x)^3/(2+3*x)^4-23/294*(1-2*x)^3/(2+3*x)^3
+--R
+--R
+--R 92 4 244 3 16 2 31 85
+--R ---- x - ----- x - ---- x + ---- x - -----
+--R 3969 11907 3969 3969 47628
+--R (2) ---------------------------------------------
+--R 4 8 3 8 2 32 16
+--R x + - x + - x + -- x + --
+--R 3 3 27 81
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 72
+
+--S 73 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R - 2160x - 1728x - 516x - 167
+--R (3) -------------------------------------------
+--R 4 3 2
+--R 26244x + 69984x + 69984x + 31104x + 5184
+--R Type: Union(Expression(Integer),...)
+--E 73
+
+--S 74 of 500
+m0:=a0-r0
+--R
+--R
+--R 92
+--R (4) - ----
+--R 3969
+--R Type: Expression(Integer)
+--E 74
+
+--S 75 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 75
+
+)clear all
+
+--S 76 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^6
+--R
+--R
+--R 3 2
+--R 20x - 8x - 7x + 3
+--R (1) -----------------------------------------------------
+--R 6 5 4 3 2
+--R 729x + 2916x + 4860x + 4320x + 2160x + 576x + 64
+--R Type: Fraction(Polynomial(Integer))
+--E 76
+
+--S 77 of 500
+r0:=49/405/(2+3*x)^5+(-91/108)/(2+3*x)^4+16/27/(2+3*x)^3+(-10/81)/(2+3*x)^2
+--R
+--R
+--R 10 3 4 2 5 49
+--R - --- x - --- x + ---- x - -----
+--R 729 729 8748 65610
+--R (2) ---------------------------------------
+--R 5 10 4 40 3 80 2 80 32
+--R x + -- x + -- x + -- x + -- x + ---
+--R 3 9 27 81 243
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 77
+
+--S 78 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R - 1800x - 720x + 75x - 98
+--R (3) -----------------------------------------------------------
+--R 5 4 3 2
+--R 131220x + 437400x + 583200x + 388800x + 129600x + 17280
+--R Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 79
+
+--S 80 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 80
+
+)clear all
+
+--S 81 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^7
+--R
+--R
+--R 3 2
+--R 20x - 8x - 7x + 3
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 2187x + 10206x + 20412x + 22680x + 15120x + 6048x + 1344x + 128
+--R Type: Fraction(Polynomial(Integer))
+--E 81
+
+--S 82 of 500
+r0:=49/486/(2+3*x)^6+(-91/135)/(2+3*x)^5+4/9/(2+3*x)^4+(-20/243)/(2+3*x)^3
+--R
+--R
+--R 20 3 4 2 47 311
+--R - ---- x - ---- x + ----- x - -------
+--R 6561 6561 98415 1771470
+--R (2) ----------------------------------------------
+--R 6 5 20 4 160 3 80 2 64 64
+--R x + 4x + -- x + --- x + -- x + -- x + ---
+--R 3 27 27 81 729
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 82
+
+--S 83 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R - 5400x - 1080x + 846x - 311
+--R /
+--R 6 5 4 3 2
+--R 1771470x + 7085880x + 11809800x + 10497600x + 5248800x + 1399680x
+--R +
+--R 155520
+--R Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 84
+
+--S 85 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 85
+
+)clear all
+
+--S 86 of 500
+t0:=(1-2*x)^2*(3+5*x)/(2+3*x)^8
+--R
+--R
+--R (1)
+--R 3 2
+--R 20x - 8x - 7x + 3
+--R /
+--R 8 7 6 5 4 3 2
+--R 6561x + 34992x + 81648x + 108864x + 90720x + 48384x + 16128x
+--R +
+--R 3072x + 256
+--R Type: Fraction(Polynomial(Integer))
+--E 86
+
+--S 87 of 500
+r0:=7/81/(2+3*x)^7+(-91/162)/(2+3*x)^6+16/45/(2+3*x)^5+(-5/81)/(2+3*x)^4
+--R
+--R
+--R 5 3 2 2 97 44
+--R - ---- x - ----- x + ------ x - ------
+--R 6561 32805 590490 885735
+--R (2) ------------------------------------------------------------
+--R 7 14 6 28 5 280 4 560 3 224 2 448 128
+--R x + -- x + -- x + --- x + --- x + --- x + --- x + ----
+--R 3 3 27 81 81 729 2187
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 87
+
+--S 88 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R - 1350x - 108x + 291x - 88
+--R /
+--R 7 6 5 4 3 2
+--R 1771470x + 8266860x + 16533720x + 18370800x + 12247200x + 4898880x
+--R +
+--R 1088640x + 103680
+--R Type: Union(Expression(Integer),...)
+--E 88
+
+--S 89 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 89
+
+--S 90 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 90
+
+)clear all
+
+--S 91 of 500
+t0:=(1-2*x)^2*(2+3*x)^8*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 12 11 10 9 8 7
+--R 656100x + 3630420x + 8477541x + 10415466x + 6281145x + 54864x
+--R +
+--R 6 5 4 3 2
+--R - 2690352x - 1789440x - 338336x + 162560x + 111616x + 26112x + 2304
+--R Type: Polynomial(Integer)
+--E 91
+
+--S 92 of 500
+r0:=49/2187*(2+3*x)^9-259/1215*(2+3*x)^10+503/891*(2+3*x)^11-_
+ 185/729*(2+3*x)^12+100/3159*(2+3*x)^13
+--R
+--R
+--R (2)
+--R 656100 13 12 8477541 11 5207733 10 9 8
+--R ------ x + 302535x + ------- x + ------- x + 697905x + 6858x
+--R 13 11 5
+--R +
+--R 7 6 338336 5 4 111616 3 2
+--R - 384336x - 298240x - ------ x + 40640x + ------ x + 13056x + 2304x
+--R 5 3
+--R +
+--R 264616448
+--R ---------
+--R 1563705
+--R Type: Polynomial(Fraction(Integer))
+--E 92
+
+--S 93 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 656100 13 12 8477541 11 5207733 10 9 8
+--R ------ x + 302535x + ------- x + ------- x + 697905x + 6858x
+--R 13 11 5
+--R +
+--R 7 6 338336 5 4 111616 3 2
+--R - 384336x - 298240x - ------ x + 40640x + ------ x + 13056x + 2304x
+--R 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 93
+
+--S 94 of 500
+m0:=a0-r0
+--R
+--R
+--R 264616448
+--R (4) - ---------
+--R 1563705
+--R Type: Polynomial(Fraction(Integer))
+--E 94
+
+--S 95 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 95
+
+)clear all
+
+--S 96 of 500
+t0:=(1-2*x)^2*(2+3*x)^7*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 11 10 9 8 7 6
+--R 218700x + 1064340x + 2116287x + 2060964x + 719739x - 461538x
+--R +
+--R 5 4 3 2
+--R - 589092x - 203752x + 23056x + 38816x + 11328x + 1152
+--R Type: Polynomial(Integer)
+--E 96
+
+--S 97 of 500
+r0:=1152*x+5664*x^2+38816/3*x^3+5764*x^4-203752/5*x^5-98182*x^6-65934*x^7+_
+ 719739/8*x^8+228996*x^9+2116287/10*x^10+1064340/11*x^11+18225*x^12
+--R
+--R
+--R (2)
+--R 12 1064340 11 2116287 10 9 719739 8 7
+--R 18225x + ------- x + ------- x + 228996x + ------ x - 65934x
+--R 11 10 8
+--R +
+--R 6 203752 5 4 38816 3 2
+--R - 98182x - ------ x + 5764x + ----- x + 5664x + 1152x
+--R 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 97
+
+--S 98 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 12 1064340 11 2116287 10 9 719739 8 7
+--R 18225x + ------- x + ------- x + 228996x + ------ x - 65934x
+--R 11 10 8
+--R +
+--R 6 203752 5 4 38816 3 2
+--R - 98182x - ------ x + 5764x + ----- x + 5664x + 1152x
+--R 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 98
+
+--S 99 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 99
+
+--S 100 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 100
+
+)clear all
+
+--S 101 of 500
+t0:=(1-2*x)^2*(2+3*x)^6*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5 4
+--R 72900x + 306180x + 501309x + 352782x + 4725x - 156996x - 91700x
+--R +
+--R 3 2
+--R - 6784x + 12208x + 4800x + 576
+--R Type: Polynomial(Integer)
+--E 101
+
+--S 102 of 500
+r0:=576*x+2400*x^2+12208/3*x^3-1696*x^4-18340*x^5-26166*x^6+675*x^7+_
+ 176391/4*x^8+55701*x^9+30618*x^10+72900/11*x^11
+--R
+--R
+--R (2)
+--R 72900 11 10 9 176391 8 7 6 5
+--R ----- x + 30618x + 55701x + ------ x + 675x - 26166x - 18340x
+--R 11 4
+--R +
+--R 4 12208 3 2
+--R - 1696x + ----- x + 2400x + 576x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 102
+
+--S 103 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 72900 11 10 9 176391 8 7 6 5
+--R ----- x + 30618x + 55701x + ------ x + 675x - 26166x - 18340x
+--R 11 4
+--R +
+--R 4 12208 3 2
+--R - 1696x + ----- x + 2400x + 576x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 103
+
+--S 104 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 104
+
+--S 105 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 105
+
+)clear all
+
+--S 106 of 500
+t0:=(1-2*x)^2*(2+3*x)^5*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3
+--R 24300x + 85860x + 109863x + 44352x - 27993x - 33670x - 8120x
+--R +
+--R 2
+--R 3152x + 1968x + 288
+--R Type: Polynomial(Integer)
+--E 106
+
+--S 107 of 500
+r0:=288*x+984*x^2+3152/3*x^3-2030*x^4-6734*x^5-9331/2*x^6+6336*x^7+_
+ 109863/8*x^8+9540*x^9+2430*x^10
+--R
+--R
+--R (2)
+--R 10 9 109863 8 7 9331 6 5 4 3152 3
+--R 2430x + 9540x + ------ x + 6336x - ---- x - 6734x - 2030x + ---- x
+--R 8 2 3
+--R +
+--R 2
+--R 984x + 288x
+--R Type: Polynomial(Fraction(Integer))
+--E 107
+
+--S 108 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 109863 8 7 9331 6 5 4 3152 3
+--R 2430x + 9540x + ------ x + 6336x - ---- x - 6734x - 2030x + ---- x
+--R 8 2 3
+--R +
+--R 2
+--R 984x + 288x
+--R Type: Polynomial(Fraction(Integer))
+--E 108
+
+--S 109 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 109
+
+--S 110 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 110
+
+)clear all
+
+--S 111 of 500
+t0:=(1-2*x)^2*(2+3*x)^4*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R 8100x + 23220x + 21141x + 690x - 9791x - 4696x + 424x + 768x + 144
+--R Type: Polynomial(Integer)
+--E 111
+
+--S 112 of 500
+r0:=144*x+384*x^2+424/3*x^3-1174*x^4-9791/5*x^5+115*x^6+21141/7*x^7+_
+ 5805/2*x^8+900*x^9
+--R
+--R
+--R (2)
+--R 9 5805 8 21141 7 6 9791 5 4 424 3 2
+--R 900x + ---- x + ----- x + 115x - ---- x - 1174x + --- x + 384x + 144x
+--R 2 7 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 112
+
+--S 113 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 5805 8 21141 7 6 9791 5 4 424 3 2
+--R 900x + ---- x + ----- x + 115x - ---- x - 1174x + --- x + 384x + 144x
+--R 2 7 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 113
+
+--S 114 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 114
+
+--S 115 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 115
+
+)clear all
+
+--S 116 of 500
+t0:=(1-2*x)^2*(2+3*x)^3*(3+5*x)^2
+--R
+--R
+--R 7 6 5 4 3 2
+--R (1) 2700x + 5940x + 3087x - 1828x - 2045x - 202x + 276x + 72
+--R Type: Polynomial(Integer)
+--E 116
+
+--S 117 of 500
+r0:=72*x+138*x^2-202/3*x^3-2045/4*x^4-1828/5*x^5+1029/2*x^6+5940/7*x^7+_
+ 675/2*x^8
+--R
+--R
+--R 675 8 5940 7 1029 6 1828 5 2045 4 202 3 2
+--R (2) --- x + ---- x + ---- x - ---- x - ---- x - --- x + 138x + 72x
+--R 2 7 2 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 117
+
+--S 118 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 675 8 5940 7 1029 6 1828 5 2045 4 202 3 2
+--R (3) --- x + ---- x + ---- x - ---- x - ---- x - --- x + 138x + 72x
+--R 2 7 2 5 4 3
+--R Type: Polynomial(Fraction(Integer))
+--E 118
+
+--S 119 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 119
+
+--S 120 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 120
+
+)clear all
+
+--S 121 of 500
+t0:=(1-2*x)^2*(2+3*x)^2*(3+5*x)^2
+--R
+--R
+--R 6 5 4 3 2
+--R (1) 900x + 1380x + 109x - 682x - 227x + 84x + 36
+--R Type: Polynomial(Integer)
+--E 121
+
+--S 122 of 500
+r0:=36*x+42*x^2-227/3*x^3-341/2*x^4+109/5*x^5+230*x^6+900/7*x^7
+--R
+--R
+--R 900 7 6 109 5 341 4 227 3 2
+--R (2) --- x + 230x + --- x - --- x - --- x + 42x + 36x
+--R 7 5 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 122
+
+--S 123 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 900 7 6 109 5 341 4 227 3 2
+--R (3) --- x + 230x + --- x - --- x - --- x + 42x + 36x
+--R 7 5 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 123
+
+--S 124 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 124
+
+--S 125 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 125
+
+)clear all
+
+--S 126 of 500
+t0:=(1-2*x)^2*(2+3*x)*(3+5*x)^2
+--R
+--R
+--R 5 4 3 2
+--R (1) 300x + 260x - 137x - 136x + 15x + 18
+--R Type: Polynomial(Integer)
+--E 126
+
+--S 127 of 500
+r0:=18*x+15/2*x^2-136/3*x^3-137/4*x^4+52*x^5+50*x^6
+--R
+--R
+--R 6 5 137 4 136 3 15 2
+--R (2) 50x + 52x - --- x - --- x + -- x + 18x
+--R 4 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 127
+
+--S 128 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 6 5 137 4 136 3 15 2
+--R (3) 50x + 52x - --- x - --- x + -- x + 18x
+--R 4 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 128
+
+--S 129 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 129
+
+--S 130 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 130
+
+)clear all
+
+--S 131 of 500
+t0:=(1-2*x)^2*(3+5*x)^2
+--R
+--R
+--R 4 3 2
+--R (1) 100x + 20x - 59x - 6x + 9
+--R Type: Polynomial(Integer)
+--E 131
+
+--S 132 of 500
+r0:=9*x-3*x^2-59/3*x^3+5*x^4+20*x^5
+--R
+--R
+--R 5 4 59 3 2
+--R (2) 20x + 5x - -- x - 3x + 9x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 132
+
+--S 133 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 59 3 2
+--R (3) 20x + 5x - -- x - 3x + 9x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 133
+
+--S 134 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 134
+
+--S 135 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 135
+
+)clear all
+
+--S 136 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)
+--R
+--R
+--R 4 3 2
+--R 100x + 20x - 59x - 6x + 9
+--R (1) ----------------------------
+--R 3x + 2
+--R Type: Fraction(Polynomial(Integer))
+--E 136
+
+--S 137 of 500
+r0:=340/81*x-251/54*x^2-140/27*x^3+25/3*x^4+49/243*log(2+3*x)
+--R
+--R
+--R 4 3 2
+--R 98log(3x + 2) + 4050x - 2520x - 2259x + 2040x
+--R (2) ------------------------------------------------
+--R 486
+--R Type: Expression(Integer)
+--E 137
+
+--S 138 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R 98log(3x + 2) + 4050x - 2520x - 2259x + 2040x
+--R (3) ------------------------------------------------
+--R 486
+--R Type: Union(Expression(Integer),...)
+--E 138
+
+--S 139 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 139
+
+--S 140 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 140
+
+)clear all
+
+--S 141 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^2
+--R
+--R
+--R 4 3 2
+--R 100x + 20x - 59x - 6x + 9
+--R (1) ----------------------------
+--R 2
+--R 9x + 12x + 4
+--R Type: Fraction(Polynomial(Integer))
+--E 141
+
+--S 142 of 500
+r0:=143/27*x-170/27*x^2+100/27*x^3+(-49/243)/(2+3*x)-518/243*log(2+3*x)
+--R
+--R
+--R 4 3 2
+--R (- 1554x - 1036)log(3x + 2) + 2700x - 2790x + 801x + 2574x - 49
+--R (2) ------------------------------------------------------------------
+--R 729x + 486
+--R Type: Expression(Integer)
+--E 142
+
+--S 143 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R (- 1554x - 1036)log(3x + 2) + 2700x - 2790x + 801x + 2574x - 49
+--R (3) ------------------------------------------------------------------
+--R 729x + 486
+--R Type: Union(Expression(Integer),...)
+--E 143
+
+--S 144 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 144
+
+--S 145 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 145
+
+)clear all
+
+--S 146 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^3
+--R
+--R
+--R 4 3 2
+--R 100x + 20x - 59x - 6x + 9
+--R (1) ----------------------------
+--R 3 2
+--R 27x + 54x + 36x + 8
+--R Type: Fraction(Polynomial(Integer))
+--E 146
+
+--S 147 of 500
+r0:=-20/3*x+50/27*x^2+(-49/486)/(2+3*x)^2+518/243/(2+3*x)+503/81*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2 4 3 2
+--R (27162x + 36216x + 12072)log(3x + 2) + 8100x - 18360x - 35280x
+--R +
+--R - 9852x + 2023
+--R /
+--R 2
+--R 4374x + 5832x + 1944
+--R Type: Expression(Integer)
+--E 147
+
+--S 148 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 4 3 2
+--R (27162x + 36216x + 12072)log(3x + 2) + 8100x - 18360x - 35280x
+--R +
+--R - 9852x + 2023
+--R /
+--R 2
+--R 4374x + 5832x + 1944
+--R Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 149
+
+--S 150 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 150
+
+)clear all
+
+--S 151 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^4
+--R
+--R
+--R 4 3 2
+--R 100x + 20x - 59x - 6x + 9
+--R (1) -------------------------------
+--R 4 3 2
+--R 81x + 216x + 216x + 96x + 16
+--R Type: Fraction(Polynomial(Integer))
+--E 151
+
+--S 152 of 500
+r0:=100/81*x+(-49/729)/(2+3*x)^3+259/243/(2+3*x)^2+(-503/81)/(2+3*x)-_
+ 740/243*log(2+3*x)
+--R
+--R
+--R (2)
+--R 3 2 4 3
+--R (- 59940x - 119880x - 79920x - 17760)log(3x + 2) + 24300x + 48600x
+--R +
+--R 2
+--R - 8343x - 44793x - 16603
+--R /
+--R 3 2
+--R 19683x + 39366x + 26244x + 5832
+--R Type: Expression(Integer)
+--E 152
+
+--S 153 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2 4 3
+--R (- 59940x - 119880x - 79920x - 17760)log(3x + 2) + 24300x + 48600x
+--R +
+--R 2
+--R - 8343x - 44793x - 16603
+--R /
+--R 3 2
+--R 19683x + 39366x + 26244x + 5832
+--R Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 154
+
+--S 155 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 155
+
+)clear all
+
+--S 156 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^5
+--R
+--R
+--R 4 3 2
+--R 100x + 20x - 59x - 6x + 9
+--R (1) ------------------------------------------
+--R 5 4 3 2
+--R 243x + 810x + 1080x + 720x + 240x + 32
+--R Type: Fraction(Polynomial(Integer))
+--E 156
+
+--S 157 of 500
+r0:=(-49/972)/(2+3*x)^4+518/729/(2+3*x)^3+(-503/162)/(2+3*x)^2+_
+ 740/243/(2+3*x)+100/243*log(2+3*x)
+--R
+--R
+--R (2)
+--R 4 3 2 3
+--R (97200x + 259200x + 259200x + 115200x + 19200)log(3x + 2) + 239760x
+--R +
+--R 2
+--R 398034x + 217248x + 38821
+--R /
+--R 4 3 2
+--R 236196x + 629856x + 629856x + 279936x + 46656
+--R Type: Expression(Integer)
+--E 157
+
+--S 158 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2 3
+--R (97200x + 259200x + 259200x + 115200x + 19200)log(3x + 2) + 239760x
+--R +
+--R 2
+--R 398034x + 217248x + 38821
+--R /
+--R 4 3 2
+--R 236196x + 629856x + 629856x + 279936x + 46656
+--R Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 159
+
+--S 160 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 160
+
+)clear all
+
+--S 161 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^6
+--R
+--R
+--R 4 3 2
+--R 100x + 20x - 59x - 6x + 9
+--R (1) -----------------------------------------------------
+--R 6 5 4 3 2
+--R 729x + 2916x + 4860x + 4320x + 2160x + 576x + 64
+--R Type: Fraction(Polynomial(Integer))
+--E 161
+
+--S 162 of 500
+r0:=(-49/1215)/(2+3*x)^5+259/486/(2+3*x)^4+(-503/243)/(2+3*x)^3+_
+ 370/243/(2+3*x)^2+(-100/243)/(2+3*x)
+--R
+--R
+--R 100 4 430 3 683 2 1285 2014
+--R - --- x - ---- x - ---- x - ----- x - ------
+--R 729 2187 6561 39366 295245
+--R (2) -----------------------------------------------
+--R 5 10 4 40 3 80 2 80 32
+--R x + -- x + -- x + -- x + -- x + ---
+--R 3 9 27 81 243
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 162
+
+--S 163 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R - 81000x - 116100x - 61470x - 19275x - 4028
+--R (3) --------------------------------------------------------------
+--R 5 4 3 2
+--R 590490x + 1968300x + 2624400x + 1749600x + 583200x + 77760
+--R Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 164
+
+--S 165 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 165
+
+)clear all
+
+--S 166 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^7
+--R
+--R
+--R 4 3 2
+--R 100x + 20x - 59x - 6x + 9
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 2187x + 10206x + 20412x + 22680x + 15120x + 6048x + 1344x + 128
+--R Type: Fraction(Polynomial(Integer))
+--E 166
+
+--S 167 of 500
+r0:=(-49/1458)/(2+3*x)^6+518/1215/(2+3*x)^5+(-503/324)/(2+3*x)^4+_
+ 740/729/(2+3*x)^3+(-50/243)/(2+3*x)^2
+--R
+--R
+--R 50 4 460 3 389 2 227 4099
+--R - ---- x - ----- x - ----- x - ------ x - -------
+--R 2187 19683 78732 295245 5314410
+--R (2) ----------------------------------------------------
+--R 6 5 20 4 160 3 80 2 64 64
+--R x + 4x + -- x + --- x + -- x + -- x + ---
+--R 3 27 27 81 729
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 167
+
+--S 168 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R - 243000x - 248400x - 52515x - 8172x - 8198
+--R /
+--R 6 5 4 3 2
+--R 10628820x + 42515280x + 70858800x + 62985600x + 31492800x + 8398080x
+--R +
+--R 933120
+--R Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 169
+
+--S 170 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 170
+
+)clear all
+
+--S 171 of 500
+t0:=(1-2*x)^2*(3+5*x)^2/(2+3*x)^8
+--R
+--R
+--R (1)
+--R 4 3 2
+--R 100x + 20x - 59x - 6x + 9
+--R /
+--R 8 7 6 5 4 3 2
+--R 6561x + 34992x + 81648x + 108864x + 90720x + 48384x + 16128x
+--R +
+--R 3072x + 256
+--R Type: Fraction(Polynomial(Integer))
+--E 171
+
+--S 172 of 500
+r0:=(-7/243)/(2+3*x)^7+259/729/(2+3*x)^6+(-503/405)/(2+3*x)^5+_
+ 185/243/(2+3*x)^4+(-100/729)/(2+3*x)^3
+--R
+--R
+--R 100 4 245 3 41 2 487 1423
+--R - ----- x - ----- x + ------ x + ------- x - -------
+--R 19683 59049 295245 2657205 7971615
+--R (2) ------------------------------------------------------------
+--R 7 14 6 28 5 280 4 560 3 224 2 448 128
+--R x + -- x + -- x + --- x + --- x + --- x + --- x + ----
+--R 3 3 27 81 81 729 2187
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 172
+
+--S 173 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R - 40500x - 33075x + 1107x + 1461x - 1423
+--R /
+--R 7 6 5 4 3
+--R 7971615x + 37200870x + 74401740x + 82668600x + 55112400x
+--R +
+--R 2
+--R 22044960x + 4898880x + 466560
+--R Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 174
+
+--S 175 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 175
+
+)clear all
+
+--S 176 of 500
+t0:=(1-2*x)^2*(2+3*x)^10*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 15 14 13 12 11
+--R 29524500x + 220449600x + 734077485x + 1417418757x + 1707104403x
+--R +
+--R 10 9 8 7 6
+--R 1233925083x + 360437040x - 236139300x - 320907744x - 154612896x
+--R +
+--R 5 4 3 2
+--R - 21254656x + 15928960x + 10576640x + 3002112x + 442368x + 27648
+--R Type: Polynomial(Integer)
+--E 176
+
+--S 177 of 500
+r0:=-49/8019*(2+3*x)^11+763/8748*(2+3*x)^12-4099/9477*(2+3*x)^13+_
+ 8285/10206*(2+3*x)^14-760/2187*(2+3*x)^15+125/2916*(2+3*x)^16
+--R
+--R
+--R (2)
+--R 7381125 16 15 734077485 14 1417418757 13 569034801 12
+--R ------- x + 14696640x + --------- x + ---------- x + --------- x
+--R 4 14 13 4
+--R +
+--R 1233925083 11 10 9 8 154612896 7
+--R ---------- x + 36043704x - 26237700x - 40113468x - --------- x
+--R 11 7
+--R +
+--R 10627328 6 5 4 3 2
+--R - -------- x + 3185792x + 2644160x + 1000704x + 221184x + 27648x
+--R 3
+--R +
+--R 3336045568
+--R ----------
+--R 2189187
+--R Type: Polynomial(Fraction(Integer))
+--E 177
+
+--S 178 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7381125 16 15 734077485 14 1417418757 13 569034801 12
+--R ------- x + 14696640x + --------- x + ---------- x + --------- x
+--R 4 14 13 4
+--R +
+--R 1233925083 11 10 9 8 154612896 7
+--R ---------- x + 36043704x - 26237700x - 40113468x - --------- x
+--R 11 7
+--R +
+--R 10627328 6 5 4 3 2
+--R - -------- x + 3185792x + 2644160x + 1000704x + 221184x + 27648x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 178
+
+--S 179 of 500
+m0:=a0-r0
+--R
+--R
+--R 3336045568
+--R (4) - ----------
+--R 2189187
+--R Type: Polynomial(Fraction(Integer))
+--E 179
+
+--S 180 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 180
+
+)clear all
+
+--S 181 of 500
+t0:=(1-2*x)^2*(2+3*x)^9*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 14 13 12 11 10
+--R 9841500x + 66922200x + 200077695x + 339087789x + 342976275x
+--R +
+--R 9 8 7 6 5 4
+--R 182657511x - 1625994x - 77629104x - 55216512x - 14726624x + 2732864x
+--R +
+--R 3 2
+--R 3487744x + 1200384x + 200448x + 13824
+--R Type: Polynomial(Integer)
+--E 181
+
+--S 182 of 500
+r0:=-49/7290*(2+3*x)^10+763/8019*(2+3*x)^11-4099/8748*(2+3*x)^12+_
+ 8285/9477*(2+3*x)^13-1900/5103*(2+3*x)^14+100/2187*(2+3*x)^15
+--R
+--R
+--R (2)
+--R 15 33461100 14 200077695 13 113029263 12 342976275 11
+--R 656100x + -------- x + --------- x + --------- x + --------- x
+--R 7 13 4 11
+--R +
+--R 182657511 10 9 8 55216512 7 7363312 6
+--R --------- x - 180666x - 9703638x - -------- x - ------- x
+--R 10 7 3
+--R +
+--R 2732864 5 4 3 2 9067849216
+--R ------- x + 871936x + 400128x + 100224x + 13824x + ----------
+--R 5 10945935
+--R Type: Polynomial(Fraction(Integer))
+--E 182
+
+--S 183 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 15 33461100 14 200077695 13 113029263 12 342976275 11
+--R 656100x + -------- x + --------- x + --------- x + --------- x
+--R 7 13 4 11
+--R +
+--R 182657511 10 9 8 55216512 7 7363312 6
+--R --------- x - 180666x - 9703638x - -------- x - ------- x
+--R 10 7 3
+--R +
+--R 2732864 5 4 3 2
+--R ------- x + 871936x + 400128x + 100224x + 13824x
+--R 5
+--R Type: Polynomial(Fraction(Integer))
+--E 183
+
+--S 184 of 500
+m0:=a0-r0
+--R
+--R
+--R 9067849216
+--R (4) - ----------
+--R 10945935
+--R Type: Polynomial(Fraction(Integer))
+--E 184
+
+--S 185 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 185
+
+)clear all
+
+--S 186 of 500
+t0:=(1-2*x)^2*(2+3*x)^8*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 13 12 11 10 9
+--R 3280500x + 20120400x + 53278965x + 77509953x + 62652123x
+--R +
+--R 8 7 6 5 4 3
+--R 19117755x - 13287168x - 17018256x - 7060000x - 202208x + 1045760x
+--R +
+--R 2
+--R 465408x + 89856x + 6912
+--R Type: Polynomial(Integer)
+--E 186
+
+--S 187 of 500
+r0:=6912*x+44928*x^2+155136*x^3+261440*x^4-202208/5*x^5-3530000/3*x^6-_
+ 17018256/7*x^7-1660896*x^8+2124195*x^9+62652123/10*x^10+_
+ 77509953/11*x^11+17759655/4*x^12+20120400/13*x^13+1640250/7*x^14
+--R
+--R
+--R (2)
+--R 1640250 14 20120400 13 17759655 12 77509953 11 62652123 10
+--R ------- x + -------- x + -------- x + -------- x + -------- x
+--R 7 13 4 11 10
+--R +
+--R 9 8 17018256 7 3530000 6 202208 5 4
+--R 2124195x - 1660896x - -------- x - ------- x - ------ x + 261440x
+--R 7 3 5
+--R +
+--R 3 2
+--R 155136x + 44928x + 6912x
+--R Type: Polynomial(Fraction(Integer))
+--E 187
+
+--S 188 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 1640250 14 20120400 13 17759655 12 77509953 11 62652123 10
+--R ------- x + -------- x + -------- x + -------- x + -------- x
+--R 7 13 4 11 10
+--R +
+--R 9 8 17018256 7 3530000 6 202208 5 4
+--R 2124195x - 1660896x - -------- x - ------- x - ------ x + 261440x
+--R 7 3 5
+--R +
+--R 3 2
+--R 155136x + 44928x + 6912x
+--R Type: Polynomial(Fraction(Integer))
+--E 188
+
+--S 189 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 189
+
+--S 190 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 190
+
+)clear all
+
+--S 191 of 500
+t0:=(1-2*x)^2*(2+3*x)^7*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 12 11 10 9 8 7
+--R 1093500x + 5977800x + 13774455x + 16653681x + 9781587x - 148473x
+--R +
+--R 6 5 4 3 2
+--R - 4330074x - 2786036x - 495976x + 263248x + 173088x + 39744x + 3456
+--R Type: Polynomial(Integer)
+--E 191
+
+--S 192 of 500
+r0:=3456*x+19872*x^2+57696*x^3+65812*x^4-495976/5*x^5-1393018/3*x^6-_
+ 618582*x^7-148473/8*x^8+1086843*x^9+16653681/10*x^10+_
+ 13774455/11*x^11+498150*x^12+1093500/13*x^13
+--R
+--R
+--R (2)
+--R 1093500 13 12 13774455 11 16653681 10 9
+--R ------- x + 498150x + -------- x + -------- x + 1086843x
+--R 13 11 10
+--R +
+--R 148473 8 7 1393018 6 495976 5 4 3
+--R - ------ x - 618582x - ------- x - ------ x + 65812x + 57696x
+--R 8 3 5
+--R +
+--R 2
+--R 19872x + 3456x
+--R Type: Polynomial(Fraction(Integer))
+--E 192
+
+--S 193 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 1093500 13 12 13774455 11 16653681 10 9
+--R ------- x + 498150x + -------- x + -------- x + 1086843x
+--R 13 11 10
+--R +
+--R 148473 8 7 1393018 6 495976 5 4 3
+--R - ------ x - 618582x - ------- x - ------ x + 65812x + 57696x
+--R 8 3 5
+--R +
+--R 2
+--R 19872x + 3456x
+--R Type: Polynomial(Fraction(Integer))
+--E 193
+
+--S 194 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 194
+
+--S 195 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 195
+
+)clear all
+
+--S 196 of 500
+t0:=(1-2*x)^2*(2+3*x)^6*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 11 10 9 8 7 6
+--R 364500x + 1749600x + 3425085x + 3267837x + 1081971x - 770805x
+--R +
+--R 5 4 3 2
+--R - 929488x - 309020x + 40688x + 60624x + 17280x + 1728
+--R Type: Polynomial(Integer)
+--E 196
+
+--S 197 of 500
+r0:=1728*x+8640*x^2+20208*x^3+10172*x^4-61804*x^5-464744/3*x^6-_
+ 110115*x^7+1081971/8*x^8+363093*x^9+685017/2*x^10+1749600/11*x^11+_
+ 30375*x^12
+--R
+--R
+--R (2)
+--R 12 1749600 11 685017 10 9 1081971 8 7
+--R 30375x + ------- x + ------ x + 363093x + ------- x - 110115x
+--R 11 2 8
+--R +
+--R 464744 6 5 4 3 2
+--R - ------ x - 61804x + 10172x + 20208x + 8640x + 1728x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 197
+
+--S 198 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 12 1749600 11 685017 10 9 1081971 8 7
+--R 30375x + ------- x + ------ x + 363093x + ------- x - 110115x
+--R 11 2 8
+--R +
+--R 464744 6 5 4 3 2
+--R - ------ x - 61804x + 10172x + 20208x + 8640x + 1728x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 198
+
+--S 199 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 199
+
+--S 200 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 200
+
+)clear all
+
+--S 201 of 500
+t0:=(1-2*x)^2*(2+3*x)^5*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5 4
+--R 121500x + 502200x + 806895x + 551349x - 6909x - 252329x - 141610x
+--R +
+--R 3 2
+--R - 8600x + 19296x + 7344x + 864
+--R Type: Polynomial(Integer)
+--E 201
+
+--S 202 of 500
+r0:=864*x+3672*x^2+6432*x^3-2150*x^4-28322*x^5-252329/6*x^6-987*x^7+_
+ 551349/8*x^8+89655*x^9+50220*x^10+121500/11*x^11
+--R
+--R
+--R (2)
+--R 121500 11 10 9 551349 8 7 252329 6 5
+--R ------ x + 50220x + 89655x + ------ x - 987x - ------ x - 28322x
+--R 11 8 6
+--R +
+--R 4 3 2
+--R - 2150x + 6432x + 3672x + 864x
+--R Type: Polynomial(Fraction(Integer))
+--E 202
+
+--S 203 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 121500 11 10 9 551349 8 7 252329 6 5
+--R ------ x + 50220x + 89655x + ------ x - 987x - ------ x - 28322x
+--R 11 8 6
+--R +
+--R 4 3 2
+--R - 2150x + 6432x + 3672x + 864x
+--R Type: Polynomial(Fraction(Integer))
+--E 203
+
+--S 204 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 204
+
+--S 205 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 205
+
+)clear all
+
+--S 206 of 500
+t0:=(1-2*x)^2*(2+3*x)^4*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3
+--R 40500x + 140400x + 175365x + 66873x - 46885x - 52853x - 11968x
+--R +
+--R 2
+--R 5112x + 3024x + 432
+--R Type: Polynomial(Integer)
+--E 206
+
+--S 207 of 500
+r0:=432*x+1512*x^2+1704*x^3-2992*x^4-52853/5*x^5-46885/6*x^6+66873/7*x^7+_
+ 175365/8*x^8+15600*x^9+4050*x^10
+--R
+--R
+--R (2)
+--R 10 9 175365 8 66873 7 46885 6 52853 5 4
+--R 4050x + 15600x + ------ x + ----- x - ----- x - ----- x - 2992x
+--R 8 7 6 5
+--R +
+--R 3 2
+--R 1704x + 1512x + 432x
+--R Type: Polynomial(Fraction(Integer))
+--E 207
+
+--S 208 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 175365 8 66873 7 46885 6 52853 5 4
+--R 4050x + 15600x + ------ x + ----- x - ----- x - ----- x - 2992x
+--R 8 7 6 5
+--R +
+--R 3 2
+--R 1704x + 1512x + 432x
+--R Type: Polynomial(Fraction(Integer))
+--E 208
+
+--S 209 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 209
+
+--S 210 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 210
+
+)clear all
+
+--S 211 of 500
+t0:=(1-2*x)^2*(2+3*x)^3*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R 13500x + 37800x + 33255x + 121x - 15709x - 7145x + 774x + 1188x + 216
+--R Type: Polynomial(Integer)
+--E 211
+
+--S 212 of 500
+r0:=216*x+594*x^2+258*x^3-7145/4*x^4-15709/5*x^5+121/6*x^6+33255/7*x^7+_
+ 4725*x^8+1500*x^9
+--R
+--R
+--R (2)
+--R 9 8 33255 7 121 6 15709 5 7145 4 3 2
+--R 1500x + 4725x + ----- x + --- x - ----- x - ---- x + 258x + 594x
+--R 7 6 5 4
+--R +
+--R 216x
+--R Type: Polynomial(Fraction(Integer))
+--E 212
+
+--S 213 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8 33255 7 121 6 15709 5 7145 4 3 2
+--R 1500x + 4725x + ----- x + --- x - ----- x - ---- x + 258x + 594x
+--R 7 6 5 4
+--R +
+--R 216x
+--R Type: Polynomial(Fraction(Integer))
+--E 213
+
+--S 214 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 214
+
+--S 215 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 215
+
+)clear all
+
+--S 216 of 500
+t0:=(1-2*x)^2*(2+3*x)^2*(3+5*x)^3
+--R
+--R
+--R 7 6 5 4 3 2
+--R (1) 4500x + 9600x + 4685x - 3083x - 3181x - 261x + 432x + 108
+--R Type: Polynomial(Integer)
+--E 216
+
+--S 217 of 500
+r0:=108*x+216*x^2-87*x^3-3181/4*x^4-3083/5*x^5+4685/6*x^6+9600/7*x^7+1125/2*x^8
+--R
+--R
+--R 1125 8 9600 7 4685 6 3083 5 3181 4 3 2
+--R (2) ---- x + ---- x + ---- x - ---- x - ---- x - 87x + 216x + 108x
+--R 2 7 6 5 4
+--R Type: Polynomial(Fraction(Integer))
+--E 217
+
+--S 218 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 1125 8 9600 7 4685 6 3083 5 3181 4 3 2
+--R (3) ---- x + ---- x + ---- x - ---- x - ---- x - 87x + 216x + 108x
+--R 2 7 6 5 4
+--R Type: Polynomial(Fraction(Integer))
+--E 218
+
+--S 219 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 219
+
+--S 220 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 220
+
+)clear all
+
+--S 221 of 500
+t0:=(1-2*x)^2*(2+3*x)*(3+5*x)^3
+--R
+--R
+--R 6 5 4 3 2
+--R (1) 1500x + 2200x + 95x - 1091x - 333x + 135x + 54
+--R Type: Polynomial(Integer)
+--E 221
+
+--S 222 of 500
+r0:=54*x+135/2*x^2-111*x^3-1091/4*x^4+19*x^5+1100/3*x^6+1500/7*x^7
+--R
+--R
+--R 1500 7 1100 6 5 1091 4 3 135 2
+--R (2) ---- x + ---- x + 19x - ---- x - 111x + --- x + 54x
+--R 7 3 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 222
+
+--S 223 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 1500 7 1100 6 5 1091 4 3 135 2
+--R (3) ---- x + ---- x + 19x - ---- x - 111x + --- x + 54x
+--R 7 3 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 223
+
+--S 224 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 224
+
+--S 225 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 225
+
+)clear all
+
+--S 226 of 500
+t0:=(1-2*x)^2*(3+5*x)^3
+--R
+--R
+--R 5 4 3 2
+--R (1) 500x + 400x - 235x - 207x + 27x + 27
+--R Type: Polynomial(Integer)
+--E 226
+
+--S 227 of 500
+r0:=27*x+27/2*x^2-69*x^3-235/4*x^4+80*x^5+250/3*x^6
+--R
+--R
+--R 250 6 5 235 4 3 27 2
+--R (2) --- x + 80x - --- x - 69x + -- x + 27x
+--R 3 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 227
+
+--S 228 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 250 6 5 235 4 3 27 2
+--R (3) --- x + 80x - --- x - 69x + -- x + 27x
+--R 3 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 228
+
+--S 229 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 229
+
+--S 230 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 230
+
+)clear all
+
+--S 231 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)
+--R
+--R
+--R 5 4 3 2
+--R 500x + 400x - 235x - 207x + 27x + 27
+--R (1) ----------------------------------------
+--R 3x + 2
+--R Type: Fraction(Polynomial(Integer))
+--E 231
+
+--S 232 of 500
+r0:=3305/243*x-559/162*x^2-2515/81*x^3+50/9*x^4+100/3*x^5-49/729*log(2+3*x)
+--R
+--R
+--R 5 4 3 2
+--R - 98log(3x + 2) + 48600x + 8100x - 45270x - 5031x + 19830x
+--R (2) --------------------------------------------------------------
+--R 1458
+--R Type: Expression(Integer)
+--E 232
+
+--S 233 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 3 2
+--R - 98log(3x + 2) + 48600x + 8100x - 45270x - 5031x + 19830x
+--R (3) --------------------------------------------------------------
+--R 1458
+--R Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 234
+
+--S 235 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 235
+
+)clear all
+
+--S 236 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^2
+--R
+--R
+--R 5 4 3 2
+--R 500x + 400x - 235x - 207x + 27x + 27
+--R (1) ----------------------------------------
+--R 2
+--R 9x + 12x + 4
+--R Type: Fraction(Polynomial(Integer))
+--E 236
+
+--S 237 of 500
+r0:=1271/243*x-305/54*x^2-800/81*x^3+125/9*x^4+49/729/(2+3*x)+_
+ 763/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R (4578x + 3052)log(3x + 2) + 60750x - 2700x - 53505x + 6408x + 15252x + 98
+--R -----------------------------------------------------------------------------
+--R 4374x + 2916
+--R Type: Expression(Integer)
+--E 237
+
+--S 238 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R (4578x + 3052)log(3x + 2) + 60750x - 2700x - 53505x + 6408x + 15252x + 98
+--R -----------------------------------------------------------------------------
+--R 4374x + 2916
+--R Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 239
+
+--S 240 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 240
+
+)clear all
+
+--S 241 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^3
+--R
+--R
+--R 5 4 3 2
+--R 500x + 400x - 235x - 207x + 27x + 27
+--R (1) ----------------------------------------
+--R 3 2
+--R 27x + 54x + 36x + 8
+--R Type: Fraction(Polynomial(Integer))
+--E 241
+
+--S 242 of 500
+r0:=895/81*x-100/9*x^2+500/81*x^3+49/1458/(2+3*x)^2+(-763/729)/(2+3*x)-_
+ 4099/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2 5 4 3
+--R (- 73782x - 98376x - 32792)log(3x + 2) + 81000x - 37800x - 13410x
+--R +
+--R 2
+--R 128520x + 59862x - 3003
+--R /
+--R 2
+--R 13122x + 17496x + 5832
+--R Type: Expression(Integer)
+--E 242
+
+--S 243 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 5 4 3
+--R (- 73782x - 98376x - 32792)log(3x + 2) + 81000x - 37800x - 13410x
+--R +
+--R 2
+--R 128520x + 59862x - 3003
+--R /
+--R 2
+--R 13122x + 17496x + 5832
+--R Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 244
+
+--S 245 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 245
+
+)clear all
+
+--S 246 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^4
+--R
+--R
+--R 5 4 3 2
+--R 500x + 400x - 235x - 207x + 27x + 27
+--R (1) ----------------------------------------
+--R 4 3 2
+--R 81x + 216x + 216x + 96x + 16
+--R Type: Fraction(Polynomial(Integer))
+--E 246
+
+--S 247 of 500
+r0:=-2800/243*x+250/81*x^2+49/2187/(2+3*x)^3+(-763/1458)/(2+3*x)^2+_
+ 4099/729/(2+3*x)+8285/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 3 2 5
+--R (1342170x + 2684340x + 1789560x + 397680)log(3x + 2) + 364500x
+--R +
+--R 4 3 2
+--R - 631800x - 2235600x - 1485054x - 114939x + 93896
+--R /
+--R 3 2
+--R 118098x + 236196x + 157464x + 34992
+--R Type: Expression(Integer)
+--E 247
+
+--S 248 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2 5
+--R (1342170x + 2684340x + 1789560x + 397680)log(3x + 2) + 364500x
+--R +
+--R 4 3 2
+--R - 631800x - 2235600x - 1485054x - 114939x + 93896
+--R /
+--R 3 2
+--R 118098x + 236196x + 157464x + 34992
+--R Type: Union(Expression(Integer),...)
+--E 248
+
+--S 249 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 249
+
+--S 250 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 250
+
+)clear all
+
+--S 251 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^5
+--R
+--R
+--R 5 4 3 2
+--R 500x + 400x - 235x - 207x + 27x + 27
+--R (1) ------------------------------------------
+--R 5 4 3 2
+--R 243x + 810x + 1080x + 720x + 240x + 32
+--R Type: Fraction(Polynomial(Integer))
+--E 251
+
+--S 252 of 500
+r0:=500/243*x+49/2916/(2+3*x)^4+(-763/2187)/(2+3*x)^3+4099/1458/(2+3*x)^2+_
+ (-8285/729)/(2+3*x)-3800/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (- 3693600x - 9849600x - 9849600x - 4377600x - 729600)log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 1458000x + 3888000x + 1203660x - 3419334x - 3005148x - 702941
+--R /
+--R 4 3 2
+--R 708588x + 1889568x + 1889568x + 839808x + 139968
+--R Type: Expression(Integer)
+--E 252
+
+--S 253 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (- 3693600x - 9849600x - 9849600x - 4377600x - 729600)log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 1458000x + 3888000x + 1203660x - 3419334x - 3005148x - 702941
+--R /
+--R 4 3 2
+--R 708588x + 1889568x + 1889568x + 839808x + 139968
+--R Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 254
+
+--S 255 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 255
+
+)clear all
+
+--S 256 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^6
+--R
+--R
+--R 5 4 3 2
+--R 500x + 400x - 235x - 207x + 27x + 27
+--R (1) -----------------------------------------------------
+--R 6 5 4 3 2
+--R 729x + 2916x + 4860x + 4320x + 2160x + 576x + 64
+--R Type: Fraction(Polynomial(Integer))
+--E 256
+
+--S 257 of 500
+r0:=49/3645/(2+3*x)^5+(-763/2916)/(2+3*x)^4+4099/2187/(2+3*x)^3+_
+ (-8285/1458)/(2+3*x)^2+3800/729/(2+3*x)+500/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R (7290000x + 24300000x + 32400000x + 21600000x + 7200000x + 960000)
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 18468000x + 42537150x + 36564120x + 13889625x + 1965218
+--R /
+--R 5 4 3 2
+--R 10628820x + 35429400x + 47239200x + 31492800x + 10497600x + 1399680
+--R Type: Expression(Integer)
+--E 257
+
+--S 258 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R (7290000x + 24300000x + 32400000x + 21600000x + 7200000x + 960000)
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 18468000x + 42537150x + 36564120x + 13889625x + 1965218
+--R /
+--R 5 4 3 2
+--R 10628820x + 35429400x + 47239200x + 31492800x + 10497600x + 1399680
+--R Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 259
+
+--S 260 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 260
+
+)clear all
+
+--S 261 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^7
+--R
+--R
+--R 5 4 3 2
+--R 500x + 400x - 235x - 207x + 27x + 27
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 2187x + 10206x + 20412x + 22680x + 15120x + 6048x + 1344x + 128
+--R Type: Fraction(Polynomial(Integer))
+--E 261
+
+--S 262 of 500
+r0:=49/4374/(2+3*x)^6+(-763/3645)/(2+3*x)^5+4099/2916/(2+3*x)^4+_
+ (-8285/2187)/(2+3*x)^3+1900/729/(2+3*x)^2+(-500/729)/(2+3*x)
+--R
+--R
+--R 500 5 3100 4 22685 3 39781 2 41968 116741
+--R - ---- x - ---- x - ----- x - ------ x - ------ x - --------
+--R 2187 6561 59049 236196 885735 15943230
+--R (2) ----------------------------------------------------------------
+--R 6 5 20 4 160 3 80 2 64 64
+--R x + 4x + -- x + --- x + -- x + -- x + ---
+--R 3 27 27 81 729
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 262
+
+--S 263 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R - 7290000x - 15066000x - 12249900x - 5370435x - 1510848x - 233482
+--R /
+--R 6 5 4 3 2
+--R 31886460x + 127545840x + 212576400x + 188956800x + 94478400x
+--R +
+--R 25194240x + 2799360
+--R Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 264
+
+--S 265 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 265
+
+)clear all
+
+--S 266 of 500
+t0:=(1-2*x)^2*(3+5*x)^3/(2+3*x)^8
+--R
+--R
+--R (1)
+--R 5 4 3 2
+--R 500x + 400x - 235x - 207x + 27x + 27
+--R /
+--R 8 7 6 5 4 3 2
+--R 6561x + 34992x + 81648x + 108864x + 90720x + 48384x + 16128x
+--R +
+--R 3072x + 256
+--R Type: Fraction(Polynomial(Integer))
+--E 266
+
+--S 267 of 500
+r0:=7/729/(2+3*x)^7+(-763/4374)/(2+3*x)^6+4099/3645/(2+3*x)^5+_
+ (-8285/2916)/(2+3*x)^4+3800/2187/(2+3*x)^3+(-250/729)/(2+3*x)^2
+--R
+--R
+--R 250 5 3700 4 23255 3 12077 2 35089 19072
+--R - ---- x - ----- x - ------ x - ------- x - -------- x - --------
+--R 6561 59049 708588 1771470 15943230 23914845
+--R (2) ---------------------------------------------------------------------
+--R 7 14 6 28 5 280 4 560 3 224 2 448 128
+--R x + -- x + -- x + --- x + --- x + --- x + --- x + ----
+--R 3 3 27 81 81 729 2187
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 267
+
+--S 268 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R - 3645000x - 5994000x - 3139425x - 652158x - 210534x - 76288
+--R /
+--R 7 6 5 4 3
+--R 95659380x + 446410440x + 892820880x + 992023200x + 661348800x
+--R +
+--R 2
+--R 264539520x + 58786560x + 5598720
+--R Type: Union(Expression(Integer),...)
+--E 268
+
+--S 269 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 269
+
+--S 270 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 270
+
+)clear all
+
+--S 271 of 500
+t0:=(1-2*x)^2*(2+3*x)^7/(3+5*x)
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3 2
+--R 8748x + 32076x + 43011x + 19278x - 9828x - 13608x - 3696x + 1184x
+--R +
+--R 832x + 128
+--R /
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 271
+
+--S 272 of 500
+r0:=83333293/1953125*x+80555569/781250*x^2+1327159/78125*x^3-_
+ 20577159/62500*x^4-7315947/15625*x^5+130383/1250*x^6+_
+ 672867/875*x^7+16767/25*x^8+972/5*x^9+121/9765625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 9 8 7
+--R 3388log(5x + 3) + 53156250000x + 183389062500x + 210270937500x
+--R +
+--R 6 5 4 3
+--R 28521281250x - 128029072500x - 90025070625x + 4645056500x
+--R +
+--R 2
+--R 28194449150x + 11666661020x
+--R /
+--R 273437500
+--R Type: Expression(Integer)
+--E 272
+
+--S 273 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8 7
+--R 3388log(5x + 3) + 53156250000x + 183389062500x + 210270937500x
+--R +
+--R 6 5 4 3
+--R 28521281250x - 128029072500x - 90025070625x + 4645056500x
+--R +
+--R 2
+--R 28194449150x + 11666661020x
+--R /
+--R 273437500
+--R Type: Union(Expression(Integer),...)
+--E 273
+
+--S 274 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 274
+
+--S 275 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 275
+
+)clear all
+
+--S 276 of 500
+t0:=(1-2*x)^2*(2+3*x)^6/(3+5*x)
+--R
+--R
+--R 8 7 6 5 4 3 2
+--R 2916x + 8748x + 8505x + 756x - 3780x - 2016x + 112x + 320x + 64
+--R (1) ----------------------------------------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 276
+
+--S 277 of 500
+r0:=8333293/390625*x+5555569/156250*x^2-422841/15625*x^3-_
+ 1677159/12500*x^4-228447/3125*x^5+35883/250*x^6+34992/175*x^7+_
+ 729/10*x^8+121/1953125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R 3388log(5x + 3) + 3986718750x + 10935000000x + 7849406250x
+--R +
+--R 5 4 3 2
+--R - 3997822500x - 7337570625x - 1479943500x + 1944449150x + 1166661020x
+--R /
+--R 54687500
+--R Type: Expression(Integer)
+--E 277
+
+--S 278 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R 3388log(5x + 3) + 3986718750x + 10935000000x + 7849406250x
+--R +
+--R 5 4 3 2
+--R - 3997822500x - 7337570625x - 1479943500x + 1944449150x + 1166661020x
+--R /
+--R 54687500
+--R Type: Union(Expression(Integer),...)
+--E 278
+
+--S 279 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 279
+
+--S 280 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 280
+
+)clear all
+
+--S 281 of 500
+t0:=(1-2*x)^2*(2+3*x)^5/(3+5*x)
+--R
+--R
+--R 7 6 5 4 3 2
+--R 972x + 2268x + 1323x - 630x - 840x - 112x + 112x + 32
+--R (1) -----------------------------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 281
+
+--S 282 of 500
+r0:=833293/78125*x+305569/31250*x^2-72841/3125*x^3-102159/2500*x^4+_
+ 7803/625*x^5+1404/25*x^6+972/35*x^7+121/390625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5 4
+--R 3388log(5x + 3) + 303750000x + 614250000x + 136552500x - 446945625x
+--R +
+--R 3 2
+--R - 254943500x + 106949150x + 116661020x
+--R /
+--R 10937500
+--R Type: Expression(Integer)
+--E 282
+
+--S 283 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R 3388log(5x + 3) + 303750000x + 614250000x + 136552500x - 446945625x
+--R +
+--R 3 2
+--R - 254943500x + 106949150x + 116661020x
+--R /
+--R 10937500
+--R Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 284
+
+--S 285 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 285
+
+)clear all
+
+--S 286 of 500
+t0:=(1-2*x)^2*(2+3*x)^4/(3+5*x)
+--R
+--R
+--R 6 5 4 3 2
+--R 324x + 540x + 81x - 264x - 104x + 32x + 16
+--R (1) -----------------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 286
+
+--S 287 of 500
+r0:=83293/15625*x+5569/6250*x^2-7841/625*x^3-3159/500*x^4+1728/125*x^5+_
+ 54/5*x^6+121/78125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3 2
+--R 484log(5x + 3) + 3375000x + 4320000x - 1974375x - 3920500x + 278450x
+--R +
+--R 1665860x
+--R /
+--R 312500
+--R Type: Expression(Integer)
+--E 287
+
+--S 288 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3 2
+--R 484log(5x + 3) + 3375000x + 4320000x - 1974375x - 3920500x + 278450x
+--R +
+--R 1665860x
+--R /
+--R 312500
+--R Type: Union(Expression(Integer),...)
+--E 288
+
+--S 289 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 289
+
+--S 290 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 290
+
+)clear all
+
+--S 291 of 500
+t0:=(1-2*x)^2*(2+3*x)^3/(3+5*x)
+--R
+--R
+--R 5 4 3 2
+--R 108x + 108x - 45x - 58x + 4x + 8
+--R (1) ------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 291
+
+--S 292 of 500
+r0:=8293/3125*x-1931/1250*x^2-591/125*x^3+54/25*x^4+108/25*x^5+_
+ 121/15625*log(3+5*x)
+--R
+--R
+--R 5 4 3 2
+--R 242log(5x + 3) + 135000x + 67500x - 147750x - 48275x + 82930x
+--R (2) -----------------------------------------------------------------
+--R 31250
+--R Type: Expression(Integer)
+--E 292
+
+--S 293 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 3 2
+--R 242log(5x + 3) + 135000x + 67500x - 147750x - 48275x + 82930x
+--R (3) -----------------------------------------------------------------
+--R 31250
+--R Type: Union(Expression(Integer),...)
+--E 293
+
+--S 294 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 294
+
+--S 295 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 295
+
+)clear all
+
+--S 296 of 500
+t0:=(1-2*x)^2*(2+3*x)^2/(3+5*x)
+--R
+--R
+--R 4 3 2
+--R 36x + 12x - 23x - 4x + 4
+--R (1) ---------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 296
+
+--S 297 of 500
+r0:=793/625*x-431/250*x^2-16/25*x^3+9/5*x^4+121/3125*log(3+5*x)
+--R
+--R
+--R 4 3 2
+--R 242log(5x + 3) + 11250x - 4000x - 10775x + 7930x
+--R (2) ---------------------------------------------------
+--R 6250
+--R Type: Expression(Integer)
+--E 297
+
+--S 298 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R 242log(5x + 3) + 11250x - 4000x - 10775x + 7930x
+--R (3) ---------------------------------------------------
+--R 6250
+--R Type: Union(Expression(Integer),...)
+--E 298
+
+--S 299 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 299
+
+--S 300 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 300
+
+)clear all
+
+--S 301 of 500
+t0:=(1-2*x)^2*(2+3*x)/(3+5*x)
+--R
+--R
+--R 3 2
+--R 12x - 4x - 5x + 2
+--R (1) -------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 301
+
+--S 302 of 500
+r0:=43/125*x-28/25*x^2+4/5*x^3+121/625*log(3+5*x)
+--R
+--R
+--R 3 2
+--R 121log(5x + 3) + 500x - 700x + 215x
+--R (2) -------------------------------------
+--R 625
+--R Type: Expression(Integer)
+--E 302
+
+--S 303 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R 121log(5x + 3) + 500x - 700x + 215x
+--R (3) -------------------------------------
+--R 625
+--R Type: Union(Expression(Integer),...)
+--E 303
+
+--S 304 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 304
+
+--S 305 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 305
+
+)clear all
+
+--S 306 of 500
+t0:=(1-2*x)^2/(3+5*x)
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 306
+
+--S 307 of 500
+r0:=-32/25*x+2/5*x^2+121/125*log(3+5*x)
+--R
+--R
+--R 2
+--R 121log(5x + 3) + 50x - 160x
+--R (2) ----------------------------
+--R 125
+--R Type: Expression(Integer)
+--E 307
+
+--S 308 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R 121log(5x + 3) + 50x - 160x
+--R (3) ----------------------------
+--R 125
+--R Type: Union(Expression(Integer),...)
+--E 308
+
+--S 309 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 309
+
+--S 310 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 310
+
+)clear all
+
+--S 311 of 500
+t0:=(1-2*x)^2/((2+3*x)*(3+5*x))
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) --------------
+--R 2
+--R 15x + 19x + 6
+--R Type: Fraction(Polynomial(Integer))
+--E 311
+
+--S 312 of 500
+r0:=4/15*x-49/9*log(2+3*x)+121/25*log(3+5*x)
+--R
+--R
+--R 1089log(5x + 3) - 1225log(3x + 2) + 60x
+--R (2) ---------------------------------------
+--R 225
+--R Type: Expression(Integer)
+--E 312
+
+--S 313 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 1089log(5x + 3) - 1225log(3x + 2) + 60x
+--R (3) ---------------------------------------
+--R 225
+--R Type: Union(Expression(Integer),...)
+--E 313
+
+--S 314 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 314
+
+--S 315 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 315
+
+)clear all
+
+--S 316 of 500
+t0:=(1-2*x)^2/((2+3*x)^2*(3+5*x))
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ----------------------
+--R 3 2
+--R 45x + 87x + 56x + 12
+--R Type: Fraction(Polynomial(Integer))
+--E 316
+
+--S 317 of 500
+r0:=49/9/(2+3*x)-217/9*log(2+3*x)+121/5*log(3+5*x)
+--R
+--R
+--R (3267x + 2178)log(5x + 3) + (- 3255x - 2170)log(3x + 2) + 245
+--R (2) -------------------------------------------------------------
+--R 135x + 90
+--R Type: Expression(Integer)
+--E 317
+
+--S 318 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3267x + 2178)log(5x + 3) + (- 3255x - 2170)log(3x + 2) + 245
+--R (3) -------------------------------------------------------------
+--R 135x + 90
+--R Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 319
+
+--S 320 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 320
+
+)clear all
+
+--S 321 of 500
+t0:=(1-2*x)^2/((2+3*x)^3*(3+5*x))
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ---------------------------------
+--R 4 3 2
+--R 135x + 351x + 342x + 148x + 24
+--R Type: Fraction(Polynomial(Integer))
+--E 321
+
+--S 322 of 500
+r0:=49/18/(2+3*x)^2+217/9/(2+3*x)-121*log(2+3*x)+121*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (19602x + 26136x + 8712)log(5x + 3)
+--R +
+--R 2
+--R (- 19602x - 26136x - 8712)log(3x + 2) + 1302x + 917
+--R /
+--R 2
+--R 162x + 216x + 72
+--R Type: Expression(Integer)
+--E 322
+
+--S 323 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (19602x + 26136x + 8712)log(5x + 3)
+--R +
+--R 2
+--R (- 19602x - 26136x - 8712)log(3x + 2) + 1302x + 917
+--R /
+--R 2
+--R 162x + 216x + 72
+--R Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 324
+
+--S 325 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 325
+
+)clear all
+
+--S 326 of 500
+t0:=(1-2*x)^2/((2+3*x)^4*(3+5*x))
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) --------------------------------------------
+--R 5 4 3 2
+--R 405x + 1323x + 1728x + 1128x + 368x + 48
+--R Type: Fraction(Polynomial(Integer))
+--E 326
+
+--S 327 of 500
+r0:=49/27/(2+3*x)^3+217/18/(2+3*x)^2+121/(2+3*x)-605*log(2+3*x)+605*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (882090x + 1764180x + 1176120x + 261360)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 882090x - 1764180x - 1176120x - 261360)log(3x + 2) + 58806x
+--R +
+--R 80361x + 27536
+--R /
+--R 3 2
+--R 1458x + 2916x + 1944x + 432
+--R Type: Expression(Integer)
+--E 327
+
+--S 328 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (882090x + 1764180x + 1176120x + 261360)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 882090x - 1764180x - 1176120x - 261360)log(3x + 2) + 58806x
+--R +
+--R 80361x + 27536
+--R /
+--R 3 2
+--R 1458x + 2916x + 1944x + 432
+--R Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 329
+
+--S 330 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 330
+
+)clear all
+
+--S 331 of 500
+t0:=(1-2*x)^2/((2+3*x)^5*(3+5*x))
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ------------------------------------------------------
+--R 6 5 4 3 2
+--R 1215x + 4779x + 7830x + 6840x + 3360x + 880x + 96
+--R Type: Fraction(Polynomial(Integer))
+--E 331
+
+--S 332 of 500
+r0:=49/36/(2+3*x)^4+217/27/(2+3*x)^3+121/2/(2+3*x)^2+605/(2+3*x)-_
+ 3025*log(2+3*x)+3025*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (26462700x + 70567200x + 70567200x + 31363200x + 5227200)log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 26462700x - 70567200x - 70567200x - 31363200x - 5227200)log(3x + 2)
+--R +
+--R 3 2
+--R 1764180x + 3587166x + 2433252x + 550739
+--R /
+--R 4 3 2
+--R 8748x + 23328x + 23328x + 10368x + 1728
+--R Type: Expression(Integer)
+--E 332
+
+--S 333 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (26462700x + 70567200x + 70567200x + 31363200x + 5227200)log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 26462700x - 70567200x - 70567200x - 31363200x - 5227200)log(3x + 2)
+--R +
+--R 3 2
+--R 1764180x + 3587166x + 2433252x + 550739
+--R /
+--R 4 3 2
+--R 8748x + 23328x + 23328x + 10368x + 1728
+--R Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 334
+
+--S 335 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 335
+
+)clear all
+
+--S 336 of 500
+t0:=(1-2*x)^2/((2+3*x)^6*(3+5*x))
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 3645x + 16767x + 33048x + 36180x + 23760x + 9360x + 2048x + 192
+--R Type: Fraction(Polynomial(Integer))
+--E 336
+
+--S 337 of 500
+r0:=49/45/(2+3*x)^5+217/36/(2+3*x)^4+121/3/(2+3*x)^3+605/2/(2+3*x)^2+_
+ 3025/(2+3*x)-15125*log(2+3*x)+15125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R 661567500x + 2205225000x + 2940300000x + 1960200000x + 653400000x
+--R +
+--R 87120000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 661567500x - 2205225000x - 2940300000x - 1960200000x
+--R +
+--R - 653400000x - 87120000
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 44104500x + 119082150x + 120617640x + 54322575x + 9179006
+--R /
+--R 5 4 3 2
+--R 43740x + 145800x + 194400x + 129600x + 43200x + 5760
+--R Type: Expression(Integer)
+--E 337
+
+--S 338 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 661567500x + 2205225000x + 2940300000x + 1960200000x + 653400000x
+--R +
+--R 87120000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 661567500x - 2205225000x - 2940300000x - 1960200000x
+--R +
+--R - 653400000x - 87120000
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 44104500x + 119082150x + 120617640x + 54322575x + 9179006
+--R /
+--R 5 4 3 2
+--R 43740x + 145800x + 194400x + 129600x + 43200x + 5760
+--R Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 339
+
+--S 340 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 340
+
+)clear all
+
+--S 341 of 500
+t0:=(1-2*x)^2/((2+3*x)^7*(3+5*x))
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 10935x + 57591x + 132678x + 174636x + 143640x + 75600x + 24864x
+--R +
+--R 4672x + 384
+--R Type: Fraction(Polynomial(Integer))
+--E 341
+
+--S 342 of 500
+r0:=49/54/(2+3*x)^6+217/45/(2+3*x)^5+121/4/(2+3*x)^4+605/3/(2+3*x)^3+_
+ 3025/2/(2+3*x)^2+15125/(2+3*x)-75625*log(2+3*x)+75625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 29770537500x + 119082150000x + 198470250000x + 176418000000x
+--R +
+--R 2
+--R 88209000000x + 23522400000x + 2613600000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 29770537500x - 119082150000x - 198470250000x - 176418000000x
+--R +
+--R 2
+--R - 88209000000x - 23522400000x - 2613600000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 1984702500x + 6681831750x + 9000258300x + 6063045615x + 2042732232x
+--R +
+--R 275370238
+--R /
+--R 6 5 4 3 2
+--R 393660x + 1574640x + 2624400x + 2332800x + 1166400x + 311040x + 34560
+--R Type: Expression(Integer)
+--E 342
+
+--S 343 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 29770537500x + 119082150000x + 198470250000x + 176418000000x
+--R +
+--R 2
+--R 88209000000x + 23522400000x + 2613600000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 29770537500x - 119082150000x - 198470250000x - 176418000000x
+--R +
+--R 2
+--R - 88209000000x - 23522400000x - 2613600000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 1984702500x + 6681831750x + 9000258300x + 6063045615x + 2042732232x
+--R +
+--R 275370238
+--R /
+--R 6 5 4 3 2
+--R 393660x + 1574640x + 2624400x + 2332800x + 1166400x + 311040x + 34560
+--R Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 344
+
+--S 345 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 345
+
+)clear all
+
+--S 346 of 500
+t0:=(1-2*x)^2/((2+3*x)^8*(3+5*x))
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R /
+--R 9 8 7 6 5 4 3
+--R 32805x + 194643x + 513216x + 789264x + 780192x + 514080x + 225792x
+--R +
+--R 2
+--R 63744x + 10496x + 768
+--R Type: Fraction(Polynomial(Integer))
+--E 346
+
+--S 347 of 500
+r0:=7/9/(2+3*x)^7+217/54/(2+3*x)^6+121/5/(2+3*x)^5+605/4/(2+3*x)^4+_
+ 3025/3/(2+3*x)^3+15125/2/(2+3*x)^2+75625/(2+3*x)-378125*log(2+3*x)+_
+ 378125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5 4
+--R 446558062500x + 2083937625000x + 4167875250000x + 4630972500000x
+--R +
+--R 3 2
+--R 3087315000000x + 1234926000000x + 274428000000x + 26136000000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R - 446558062500x - 2083937625000x - 4167875250000x
+--R +
+--R 4 3 2
+--R - 4630972500000x - 3087315000000x - 1234926000000x - 274428000000x
+--R +
+--R - 26136000000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 29770537500x + 120074501250x + 201822192000x + 180948267225x
+--R +
+--R 2
+--R 91271440062x + 24557875626x + 2753702432
+--R /
+--R 7 6 5 4 3 2
+--R 1180980x + 5511240x + 11022480x + 12247200x + 8164800x + 3265920x
+--R +
+--R 725760x + 69120
+--R Type: Expression(Integer)
+--E 347
+
+--S 348 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R 446558062500x + 2083937625000x + 4167875250000x + 4630972500000x
+--R +
+--R 3 2
+--R 3087315000000x + 1234926000000x + 274428000000x + 26136000000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R - 446558062500x - 2083937625000x - 4167875250000x
+--R +
+--R 4 3 2
+--R - 4630972500000x - 3087315000000x - 1234926000000x - 274428000000x
+--R +
+--R - 26136000000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 29770537500x + 120074501250x + 201822192000x + 180948267225x
+--R +
+--R 2
+--R 91271440062x + 24557875626x + 2753702432
+--R /
+--R 7 6 5 4 3 2
+--R 1180980x + 5511240x + 11022480x + 12247200x + 8164800x + 3265920x
+--R +
+--R 725760x + 69120
+--R Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 349
+
+--S 350 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 350
+
+)clear all
+
+--S 351 of 500
+t0:=(1-2*x)^2*(2+3*x)^7/(3+5*x)^2
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3 2
+--R 8748x + 32076x + 43011x + 19278x - 9828x - 13608x - 3696x + 1184x
+--R +
+--R 832x + 128
+--R /
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 351
+
+--S 352 of 500
+r0:=27776932/1953125*x+17592879/781250*x^2-1512378/78125*x^3-_
+ 213867/2500*x^4-656424/15625*x^5+116397/1250*x^6+_
+ 107892/875*x^7+2187/50*x^8+(-121/9765625)/(3+5*x)+2497/9765625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 9 8
+--R (349580x + 209748)log(5x + 3) + 59800781250x + 204461718750x
+--R +
+--R 7 6 5 4
+--R 228457968750x + 18948431250x - 151420775625x - 96641724375x
+--R +
+--R 3 2
+--R 14907569250x + 37916375350x + 11666311440x - 3388
+--R /
+--R 1367187500x + 820312500
+--R Type: Expression(Integer)
+--E 352
+
+--S 353 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8
+--R (349580x + 209748)log(5x + 3) + 59800781250x + 204461718750x
+--R +
+--R 7 6 5 4
+--R 228457968750x + 18948431250x - 151420775625x - 96641724375x
+--R +
+--R 3 2
+--R 14907569250x + 37916375350x + 11666311440x - 3388
+--R /
+--R 1367187500x + 820312500
+--R Type: Union(Expression(Integer),...)
+--E 353
+
+--S 354 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 354
+
+--S 355 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 355
+
+)clear all
+
+--S 356 of 500
+t0:=(1-2*x)^2*(2+3*x)^6/(3+5*x)^2
+--R
+--R
+--R 8 7 6 5 4 3 2
+--R 2916x + 8748x + 8505x + 756x - 3780x - 2016x + 112x + 320x + 64
+--R (1) ----------------------------------------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 356
+
+--S 357 of 500
+r0:=2777053/390625*x+463086/78125*x^2-48771/3125*x^3-_
+ 157599/6250*x^4+28917/3125*x^5+4374/125*x^6+2916/175*x^7+_
+ (-121/1953125)/(3+5*x)+2134/1953125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R (149380x + 89628)log(5x + 3) + 2278125000x + 6150937500x + 4135556250x
+--R +
+--R 5 4 3 2
+--R - 2688406875x - 4202218125x - 469838250x + 1458208850x + 583181130x
+--R +
+--R - 1694
+--R /
+--R 136718750x + 82031250
+--R Type: Expression(Integer)
+--E 357
+
+--S 358 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R (149380x + 89628)log(5x + 3) + 2278125000x + 6150937500x + 4135556250x
+--R +
+--R 5 4 3 2
+--R - 2688406875x - 4202218125x - 469838250x + 1458208850x + 583181130x
+--R +
+--R - 1694
+--R /
+--R 136718750x + 82031250
+--R Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 359
+
+--S 360 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 360
+
+)clear all
+
+--S 361 of 500
+t0:=(1-2*x)^2*(2+3*x)^5/(3+5*x)^2
+--R
+--R
+--R 7 6 5 4 3 2
+--R 972x + 2268x + 1323x - 630x - 840x - 112x + 112x + 32
+--R (1) -----------------------------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 361
+
+--S 362 of 500
+r0:=277174/78125*x+1893/6250*x^2-25332/3125*x^3-8721/2500*x^4+_
+ 5508/625*x^5+162/25*x^6+(-121/390625)/(3+5*x)+1771/390625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R (35420x + 21252)log(5x + 3) + 50625000x + 99225000x + 14056875x
+--R +
+--R 4 3 2
+--R - 79681875x - 35631750x + 29137150x + 16630440x - 484
+--R /
+--R 7812500x + 4687500
+--R Type: Expression(Integer)
+--E 362
+
+--S 363 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5
+--R (35420x + 21252)log(5x + 3) + 50625000x + 99225000x + 14056875x
+--R +
+--R 4 3 2
+--R - 79681875x - 35631750x + 29137150x + 16630440x - 484
+--R /
+--R 7812500x + 4687500
+--R Type: Union(Expression(Integer),...)
+--E 363
+
+--S 364 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 364
+
+--S 365 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 365
+
+)clear all
+
+--S 366 of 500
+t0:=(1-2*x)^2*(2+3*x)^4/(3+5*x)^2
+--R
+--R
+--R 6 5 4 3 2
+--R 324x + 540x + 81x - 264x - 104x + 32x + 16
+--R (1) -----------------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 366
+
+--S 367 of 500
+r0:=5459/3125*x-3621/3125*x^2-1809/625*x^3+189/125*x^4+324/125*x^5+_
+ (-121/78125)/(3+5*x)+1408/78125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R (7040x + 4224)log(5x + 3) + 1012500x + 1198125x - 776250x - 1131000x
+--R +
+--R 2
+--R 410800x + 409425x - 121
+--R /
+--R 390625x + 234375
+--R Type: Expression(Integer)
+--E 367
+
+--S 368 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R (7040x + 4224)log(5x + 3) + 1012500x + 1198125x - 776250x - 1131000x
+--R +
+--R 2
+--R 410800x + 409425x - 121
+--R /
+--R 390625x + 234375
+--R Type: Union(Expression(Integer),...)
+--E 368
+
+--S 369 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 369
+
+--S 370 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 370
+
+)clear all
+
+--S 371 of 500
+t0:=(1-2*x)^2*(2+3*x)^3/(3+5*x)^2
+--R
+--R
+--R 5 4 3 2
+--R 108x + 108x - 45x - 58x + 4x + 8
+--R (1) ------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 371
+
+--S 372 of 500
+r0:=2416/3125*x-1449/1250*x^2-36/125*x^3+27/25*x^4+(-121/15625)/(3+5*x)+_
+ 209/3125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R (10450x + 6270)log(5x + 3) + 168750x + 56250x - 208125x + 12125x
+--R +
+--R 72480x - 242
+--R /
+--R 156250x + 93750
+--R Type: Expression(Integer)
+--E 372
+
+--S 373 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R (10450x + 6270)log(5x + 3) + 168750x + 56250x - 208125x + 12125x
+--R +
+--R 72480x - 242
+--R /
+--R 156250x + 93750
+--R Type: Union(Expression(Integer),...)
+--E 373
+
+--S 374 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 374
+
+--S 375 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 375
+
+)clear all
+
+--S 376 of 500
+t0:=(1-2*x)^2*(2+3*x)^2/(3+5*x)^2
+--R
+--R
+--R 4 3 2
+--R 36x + 12x - 23x - 4x + 4
+--R (1) ---------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 376
+
+--S 377 of 500
+r0:=37/625*x-78/125*x^2+12/25*x^3+(-121/3125)/(3+5*x)+682/3125*log(3+5*x)
+--R
+--R
+--R 4 3 2
+--R (3410x + 2046)log(5x + 3) + 7500x - 5250x - 4925x + 555x - 121
+--R (2) -----------------------------------------------------------------
+--R 15625x + 9375
+--R Type: Expression(Integer)
+--E 377
+
+--S 378 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R (3410x + 2046)log(5x + 3) + 7500x - 5250x - 4925x + 555x - 121
+--R (3) -----------------------------------------------------------------
+--R 15625x + 9375
+--R Type: Union(Expression(Integer),...)
+--E 378
+
+--S 379 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 379
+
+--S 380 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 380
+
+)clear all
+
+--S 381 of 500
+t0:=(1-2*x)^2*(2+3*x)/(3+5*x)^2
+--R
+--R
+--R 3 2
+--R 12x - 4x - 5x + 2
+--R (1) -------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 381
+
+--S 382 of 500
+r0:=-92/125*x+6/25*x^2+(-121/625)/(3+5*x)+319/625*log(3+5*x)
+--R
+--R
+--R 3 2
+--R (1595x + 957)log(5x + 3) + 750x - 1850x - 1380x - 121
+--R (2) -------------------------------------------------------
+--R 3125x + 1875
+--R Type: Expression(Integer)
+--E 382
+
+--S 383 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R (1595x + 957)log(5x + 3) + 750x - 1850x - 1380x - 121
+--R (3) -------------------------------------------------------
+--R 3125x + 1875
+--R Type: Union(Expression(Integer),...)
+--E 383
+
+--S 384 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 384
+
+--S 385 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 385
+
+)clear all
+
+--S 386 of 500
+t0:=(1-2*x)^2/(3+5*x)^2
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) --------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 386
+
+--S 387 of 500
+r0:=4/25*x+(-121/125)/(3+5*x)-44/125*log(3+5*x)
+--R
+--R
+--R 2
+--R (- 220x - 132)log(5x + 3) + 100x + 60x - 121
+--R (2) ---------------------------------------------
+--R 625x + 375
+--R Type: Expression(Integer)
+--E 387
+
+--S 388 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R (- 220x - 132)log(5x + 3) + 100x + 60x - 121
+--R (3) ---------------------------------------------
+--R 625x + 375
+--R Type: Union(Expression(Integer),...)
+--E 388
+
+--S 389 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 389
+
+--S 390 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 390
+
+)clear all
+
+--S 391 of 500
+t0:=(1-2*x)^2/((2+3*x)*(3+5*x)^2)
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) -----------------------
+--R 3 2
+--R 75x + 140x + 87x + 18
+--R Type: Fraction(Polynomial(Integer))
+--E 391
+
+--S 392 of 500
+r0:=(-121/25)/(3+5*x)+49/3*log(2+3*x)-407/25*log(3+5*x)
+--R
+--R
+--R (- 6105x - 3663)log(5x + 3) + (6125x + 3675)log(3x + 2) - 363
+--R (2) -------------------------------------------------------------
+--R 375x + 225
+--R Type: Expression(Integer)
+--E 392
+
+--S 393 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (- 6105x - 3663)log(5x + 3) + (6125x + 3675)log(3x + 2) - 363
+--R (3) -------------------------------------------------------------
+--R 375x + 225
+--R Type: Union(Expression(Integer),...)
+--E 393
+
+--S 394 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 394
+
+--S 395 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 395
+
+)clear all
+
+--S 396 of 500
+t0:=(1-2*x)^2/((2+3*x)^2*(3+5*x)^2)
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ---------------------------------
+--R 4 3 2
+--R 225x + 570x + 541x + 228x + 36
+--R Type: Fraction(Polynomial(Integer))
+--E 396
+
+--S 397 of 500
+r0:=(-49/3)/(2+3*x)+(-121/5)/(3+5*x)+154*log(2+3*x)-154*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (- 34650x - 43890x - 13860)log(5x + 3)
+--R +
+--R 2
+--R (34650x + 43890x + 13860)log(3x + 2) - 2314x - 1461
+--R /
+--R 2
+--R 225x + 285x + 90
+--R Type: Expression(Integer)
+--E 397
+
+--S 398 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (- 34650x - 43890x - 13860)log(5x + 3)
+--R +
+--R 2
+--R (34650x + 43890x + 13860)log(3x + 2) - 2314x - 1461
+--R /
+--R 2
+--R 225x + 285x + 90
+--R Type: Union(Expression(Integer),...)
+--E 398
+
+--S 399 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 399
+
+--S 400 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 400
+
+)clear all
+
+--S 401 of 500
+t0:=(1-2*x)^2/((2+3*x)^3*(3+5*x)^2)
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) --------------------------------------------
+--R 5 4 3 2
+--R 675x + 2160x + 2763x + 1766x + 564x + 72
+--R Type: Fraction(Polynomial(Integer))
+--E 401
+
+--S 402 of 500
+r0:=(-49/6)/(2+3*x)^2+(-154)/(2+3*x)+(-121)/(3+5*x)+1133*log(2+3*x)-_
+ 1133*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (- 305910x - 591426x - 380688x - 81576)log(5x + 3)
+--R +
+--R 3 2 2
+--R (305910x + 591426x + 380688x + 81576)log(3x + 2) - 20394x - 26513x
+--R +
+--R - 8595
+--R /
+--R 3 2
+--R 270x + 522x + 336x + 72
+--R Type: Expression(Integer)
+--E 402
+
+--S 403 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (- 305910x - 591426x - 380688x - 81576)log(5x + 3)
+--R +
+--R 3 2 2
+--R (305910x + 591426x + 380688x + 81576)log(3x + 2) - 20394x - 26513x
+--R +
+--R - 8595
+--R /
+--R 3 2
+--R 270x + 522x + 336x + 72
+--R Type: Union(Expression(Integer),...)
+--E 403
+
+--S 404 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 404
+
+--S 405 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 405
+
+)clear all
+
+--S 406 of 500
+t0:=(1-2*x)^2/((2+3*x)^4*(3+5*x)^2)
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ----------------------------------------------------------
+--R 6 5 4 3 2
+--R 2025x + 7830x + 12609x + 10824x + 5224x + 1344x + 144
+--R Type: Fraction(Polynomial(Integer))
+--E 406
+
+--S 407 of 500
+r0:=(-49/9)/(2+3*x)^3+(-77)/(2+3*x)^2+(-1133)/(2+3*x)+(-605)/(3+5*x)+_
+ 7480*log(2+3*x)-7480*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (- 9088200x - 23629320x - 23023440x - 9963360x - 1615680)log(5x + 3)
+--R +
+--R 4 3 2
+--R (9088200x + 23629320x + 23023440x + 9963360x + 1615680)log(3x + 2)
+--R +
+--R 3 2
+--R - 605880x - 1191564x - 780464x - 170229
+--R /
+--R 4 3 2
+--R 1215x + 3159x + 3078x + 1332x + 216
+--R Type: Expression(Integer)
+--E 407
+
+--S 408 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (- 9088200x - 23629320x - 23023440x - 9963360x - 1615680)log(5x + 3)
+--R +
+--R 4 3 2
+--R (9088200x + 23629320x + 23023440x + 9963360x + 1615680)log(3x + 2)
+--R +
+--R 3 2
+--R - 605880x - 1191564x - 780464x - 170229
+--R /
+--R 4 3 2
+--R 1215x + 3159x + 3078x + 1332x + 216
+--R Type: Union(Expression(Integer),...)
+--E 408
+
+--S 409 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 409
+
+--S 410 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 410
+
+)clear all
+
+--S 411 of 500
+t0:=(1-2*x)^2/((2+3*x)^5*(3+5*x)^2)
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ----------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 6075x + 27540x + 53487x + 57690x + 37320x + 14480x + 3120x + 288
+--R Type: Fraction(Polynomial(Integer))
+--E 411
+
+--S 412 of 500
+r0:=(-49/12)/(2+3*x)^4+(-154/3)/(2+3*x)^3+(-1133/2)/(2+3*x)^2+_
+ (-7480)/(2+3*x)+(-3025)/(3+5*x)+46475*log(2+3*x)-46475*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R - 75289500x - 245945700x - 321235200x - 209695200x - 68411200x
+--R +
+--R - 8923200
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R 75289500x + 245945700x + 321235200x + 209695200x + 68411200x
+--R +
+--R 8923200
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R - 5019300x - 13217490x - 13046462x - 5720639x - 940153
+--R /
+--R 5 4 3 2
+--R 1620x + 5292x + 6912x + 4512x + 1472x + 192
+--R Type: Expression(Integer)
+--E 412
+
+--S 413 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R - 75289500x - 245945700x - 321235200x - 209695200x - 68411200x
+--R +
+--R - 8923200
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R 75289500x + 245945700x + 321235200x + 209695200x + 68411200x
+--R +
+--R 8923200
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R - 5019300x - 13217490x - 13046462x - 5720639x - 940153
+--R /
+--R 5 4 3 2
+--R 1620x + 5292x + 6912x + 4512x + 1472x + 192
+--R Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 414
+
+--S 415 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 415
+
+)clear all
+
+--S 416 of 500
+t0:=(1-2*x)^2/((2+3*x)^6*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 18225x + 94770x + 215541x + 280044x + 227340x + 118080x + 38320x
+--R +
+--R 7104x + 576
+--R Type: Fraction(Polynomial(Integer))
+--E 416
+
+--S 417 of 500
+r0:=(-49/15)/(2+3*x)^5+(-77/2)/(2+3*x)^4+(-1133/3)/(2+3*x)^3+_
+ (-3740)/(2+3*x)^2+(-46475)/(2+3*x)+(-15125)/(3+5*x)+_
+ 277750*log(2+3*x)-277750*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R - 10123987500x - 39821017500x - 65243475000x - 56994300000x
+--R +
+--R 2
+--R - 27997200000x - 7332600000x - 799920000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R 10123987500x + 39821017500x + 65243475000x + 56994300000x
+--R +
+--R 2
+--R 27997200000x + 7332600000x + 799920000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 674932500x - 2227277250x - 2939206050x - 1938789435x - 639246515x
+--R +
+--R - 84279984
+--R /
+--R 6 5 4 3 2
+--R 36450x + 143370x + 234900x + 205200x + 100800x + 26400x + 2880
+--R Type: Expression(Integer)
+--E 417
+
+--S 418 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R - 10123987500x - 39821017500x - 65243475000x - 56994300000x
+--R +
+--R 2
+--R - 27997200000x - 7332600000x - 799920000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R 10123987500x + 39821017500x + 65243475000x + 56994300000x
+--R +
+--R 2
+--R 27997200000x + 7332600000x + 799920000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 674932500x - 2227277250x - 2939206050x - 1938789435x - 639246515x
+--R +
+--R - 84279984
+--R /
+--R 6 5 4 3 2
+--R 36450x + 143370x + 234900x + 205200x + 100800x + 26400x + 2880
+--R Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 419
+
+--S 420 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 420
+
+)clear all
+
+--S 421 of 500
+t0:=(1-2*x)^2/((2+3*x)^7*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R /
+--R 9 8 7 6 5 4
+--R 54675x + 320760x + 836163x + 1271214x + 1242108x + 808920x
+--R +
+--R 3 2
+--R 351120x + 97952x + 15936x + 1152
+--R Type: Fraction(Polynomial(Integer))
+--E 421
+
+--S 422 of 500
+r0:=(-49/18)/(2+3*x)^6+(-154/5)/(2+3*x)^5+(-1133/4)/(2+3*x)^4+_
+ (-7480/3)/(2+3*x)^3+(-46475/2)/(2+3*x)^2+(-277750)/(2+3*x)+_
+ (-75625)/(3+5*x)+1615625*log(2+3*x)-1615625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R - 1060011562500x - 4876053187500x - 9610771500000x
+--R +
+--R 4 3 2
+--R - 10521596250000x - 6909705000000x - 2722005000000x
+--R +
+--R - 595584000000x - 55836000000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R 1060011562500x + 4876053187500x + 9610771500000x
+--R +
+--R 4 3 2
+--R 10521596250000x + 6909705000000x + 2722005000000x + 595584000000x
+--R +
+--R 55836000000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 70667437500x - 280314168750x - 463211966250x - 408159415125x
+--R +
+--R 2
+--R - 202262350455x - 53445037346x - 5882909754
+--R /
+--R 7 6 5 4 3 2
+--R 656100x + 3018060x + 5948640x + 6512400x + 4276800x + 1684800x
+--R +
+--R 368640x + 34560
+--R Type: Expression(Integer)
+--E 422
+
+--S 423 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5
+--R - 1060011562500x - 4876053187500x - 9610771500000x
+--R +
+--R 4 3 2
+--R - 10521596250000x - 6909705000000x - 2722005000000x
+--R +
+--R - 595584000000x - 55836000000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R 1060011562500x + 4876053187500x + 9610771500000x
+--R +
+--R 4 3 2
+--R 10521596250000x + 6909705000000x + 2722005000000x + 595584000000x
+--R +
+--R 55836000000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 70667437500x - 280314168750x - 463211966250x - 408159415125x
+--R +
+--R 2
+--R - 202262350455x - 53445037346x - 5882909754
+--R /
+--R 7 6 5 4 3 2
+--R 656100x + 3018060x + 5948640x + 6512400x + 4276800x + 1684800x
+--R +
+--R 368640x + 34560
+--R Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 424
+
+--S 425 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 425
+
+)clear all
+
+--S 426 of 500
+t0:=(1-2*x)^2/((2+3*x)^8*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R /
+--R 10 9 8 7 6 5
+--R 164025x + 1071630x + 3150009x + 5485968x + 6268752x + 4910976x
+--R +
+--R 4 3 2
+--R 2671200x + 996096x + 243712x + 35328x + 2304
+--R Type: Fraction(Polynomial(Integer))
+--E 426
+
+--S 427 of 500
+r0:=(-7/3)/(2+3*x)^7+(-77/3)/(2+3*x)^6+(-1133/5)/(2+3*x)^5+_
+ (-1870)/(2+3*x)^4+(-46475/3)/(2+3*x)^3+(-138875)/(2+3*x)^2+_
+ (-1615625)/(2+3*x)+(-378125)/(3+5*x)+9212500*log(2+3*x)-9212500*log(3+5*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R - 1511080312500x - 7958356312500x - 18334441125000x
+--R +
+--R 5 4 3
+--R - 24132512250000x - 19849252500000x - 10446975000000x
+--R +
+--R 2
+--R - 3435894000000x - 645612000000x - 53064000000
+--R *
+--R log(5x + 3)
+--R +
+--R 8 7 6
+--R 1511080312500x + 7958356312500x + 18334441125000x
+--R +
+--R 5 4 3
+--R 24132512250000x + 19849252500000x + 10446975000000x
+--R +
+--R 2
+--R 3435894000000x + 645612000000x + 53064000000
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R - 100738687500x - 466755918750x - 926721303750x - 1022059900125x
+--R +
+--R 3 2
+--R - 676227617505x - 268408563588x - 59178013234x - 5590850403
+--R /
+--R 8 7 6 5 4 3
+--R 164025x + 863865x + 1990170x + 2619540x + 2154600x + 1134000x
+--R +
+--R 2
+--R 372960x + 70080x + 5760
+--R Type: Expression(Integer)
+--E 427
+
+--S 428 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R - 1511080312500x - 7958356312500x - 18334441125000x
+--R +
+--R 5 4 3
+--R - 24132512250000x - 19849252500000x - 10446975000000x
+--R +
+--R 2
+--R - 3435894000000x - 645612000000x - 53064000000
+--R *
+--R log(5x + 3)
+--R +
+--R 8 7 6
+--R 1511080312500x + 7958356312500x + 18334441125000x
+--R +
+--R 5 4 3
+--R 24132512250000x + 19849252500000x + 10446975000000x
+--R +
+--R 2
+--R 3435894000000x + 645612000000x + 53064000000
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R - 100738687500x - 466755918750x - 926721303750x - 1022059900125x
+--R +
+--R 3 2
+--R - 676227617505x - 268408563588x - 59178013234x - 5590850403
+--R /
+--R 8 7 6 5 4 3
+--R 164025x + 863865x + 1990170x + 2619540x + 2154600x + 1134000x
+--R +
+--R 2
+--R 372960x + 70080x + 5760
+--R Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 429
+
+--S 430 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 430
+
+)clear all
+
+--S 431 of 500
+t0:=(1-2*x)^2*(2+3*x)^8/(3+5*x)^3
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5 4
+--R 26244x + 113724x + 193185x + 143856x + 9072x - 60480x - 38304x
+--R +
+--R 3 2
+--R - 3840x + 4864x + 2048x + 256
+--R /
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 431
+
+--S 432 of 500
+r0:=92582457/9765625*x+55559043/3906250*x^2-5350194/390625*x^3-_
+ 1700919/31250*x^4-74601/3125*x^5+376407/6250*x^6+332424/4375*x^7+_
+ 6561/250*x^8+(-121/97656250)/(3+5*x)^2+(-572/9765625)/(3+5*x)+_
+ 5888/9765625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 10
+--R (10304000x + 12364800x + 3709440)log(5x + 3) + 448505859375x
+--R +
+--R 9 8 7 6
+--R 1836738281250x + 2748937500000x + 1294582500000x - 1049233500000x
+--R +
+--R 5 4 3 2
+--R - 1497169800000x - 372682800000x + 369438720000x + 281928652425x
+--R +
+--R 58326747710x - 120967
+--R /
+--R 2
+--R 17089843750x + 20507812500x + 6152343750
+--R Type: Expression(Integer)
+--E 432
+
+--S 433 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 10
+--R (10304000x + 12364800x + 3709440)log(5x + 3) + 448505859375x
+--R +
+--R 9 8 7 6
+--R 1836738281250x + 2748937500000x + 1294582500000x - 1049233500000x
+--R +
+--R 5 4 3 2
+--R - 1497169800000x - 372682800000x + 369438720000x + 281928652425x
+--R +
+--R 58326747710x - 120967
+--R /
+--R 2
+--R 17089843750x + 20507812500x + 6152343750
+--R Type: Union(Expression(Integer),...)
+--E 433
+
+--S 434 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 434
+
+--S 435 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 435
+
+)clear all
+
+--S 436 of 500
+t0:=(1-2*x)^2*(2+3*x)^7/(3+5*x)^3
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3 2
+--R 8748x + 32076x + 43011x + 19278x - 9828x - 13608x - 3696x + 1184x
+--R +
+--R 832x + 128
+--R /
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 436
+
+--S 437 of 500
+r0:=9251661/1953125*x+1390203/390625*x^2-162612/15625*x^3-_
+ 193833/12500*x^4+104247/15625*x^5+13608/625*x^6+8748/875*x^7+_
+ (-121/19531250)/(3+5*x)^2+(-2497/9765625)/(3+5*x)+21949/9765625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 9
+--R (15364300x + 18437160x + 5531148)log(5x + 3) + 68343750000x
+--R +
+--R 8 7 6 5
+--R 230850000000x + 248816812500x + 2308753125x - 181926753750x
+--R +
+--R 4 3 2
+--R - 99203619375x + 35963686500x + 47615255100x + 11656743280x - 211442
+--R /
+--R 2
+--R 6835937500x + 8203125000x + 2460937500
+--R Type: Expression(Integer)
+--E 437
+
+--S 438 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 9
+--R (15364300x + 18437160x + 5531148)log(5x + 3) + 68343750000x
+--R +
+--R 8 7 6 5
+--R 230850000000x + 248816812500x + 2308753125x - 181926753750x
+--R +
+--R 4 3 2
+--R - 99203619375x + 35963686500x + 47615255100x + 11656743280x - 211442
+--R /
+--R 2
+--R 6835937500x + 8203125000x + 2460937500
+--R Type: Union(Expression(Integer),...)
+--E 438
+
+--S 439 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 439
+
+--S 440 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 440
+
+)clear all
+
+--S 441 of 500
+t0:=(1-2*x)^2*(2+3*x)^6/(3+5*x)^3
+--R
+--R
+--R 8 7 6 5 4 3 2
+--R 2916x + 8748x + 8505x + 756x - 3780x - 2016x + 112x + 320x + 64
+--R (1) ----------------------------------------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 441
+
+--S 442 of 500
+r0:=920502/390625*x+189/15625*x^2-16299/3125*x^3-23571/12500*x^4+_
+ 17496/3125*x^5+486/125*x^6+(-121/3906250)/(3+5*x)^2+_
+ (-2134/1953125)/(3+5*x)+15547/1953125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 8 7
+--R (1554700x + 1865640x + 559692)log(5x + 3) + 759375000x + 2004750000x
+--R +
+--R 6 5 4 3 2
+--R 1217278125x - 1066983750x - 1352649375x + 96358500x + 553151700x
+--R +
+--R 165647680x - 25850
+--R /
+--R 2
+--R 195312500x + 234375000x + 70312500
+--R Type: Expression(Integer)
+--E 442
+
+--S 443 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 8 7
+--R (1554700x + 1865640x + 559692)log(5x + 3) + 759375000x + 2004750000x
+--R +
+--R 6 5 4 3 2
+--R 1217278125x - 1066983750x - 1352649375x + 96358500x + 553151700x
+--R +
+--R 165647680x - 25850
+--R /
+--R 2
+--R 195312500x + 234375000x + 70312500
+--R Type: Union(Expression(Integer),...)
+--E 443
+
+--S 444 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 444
+
+--S 445 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 445
+
+)clear all
+
+--S 446 of 500
+t0:=(1-2*x)^2*(2+3*x)^5/(3+5*x)^3
+--R
+--R
+--R 7 6 5 4 3 2
+--R 972x + 2268x + 1323x - 630x - 840x - 112x + 112x + 32
+--R (1) -----------------------------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 446
+
+--S 447 of 500
+r0:=17796/15625*x-5301/6250*x^2-5499/3125*x^3+648/625*x^4+972/625*x^5+_
+ (-121/781250)/(3+5*x)^2+(-1771/390625)/(3+5*x)+10234/390625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 7 6
+--R (511700x + 614040x + 184212)log(5x + 3) + 30375000x + 56700000x
+--R +
+--R 5 4 3 2
+--R 866250x - 50518125x - 10006500x + 20730375x + 7990490x - 10747
+--R /
+--R 2
+--R 19531250x + 23437500x + 7031250
+--R Type: Expression(Integer)
+--E 447
+
+--S 448 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 7 6
+--R (511700x + 614040x + 184212)log(5x + 3) + 30375000x + 56700000x
+--R +
+--R 5 4 3 2
+--R 866250x - 50518125x - 10006500x + 20730375x + 7990490x - 10747
+--R /
+--R 2
+--R 19531250x + 23437500x + 7031250
+--R Type: Union(Expression(Integer),...)
+--E 448
+
+--S 449 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 449
+
+--S 450 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 450
+
+)clear all
+
+--S 451 of 500
+t0:=(1-2*x)^2*(2+3*x)^4/(3+5*x)^3
+--R
+--R
+--R 6 5 4 3 2
+--R 324x + 540x + 81x - 264x - 104x + 32x + 16
+--R (1) -----------------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 451
+
+--S 452 of 500
+r0:=1419/3125*x-4779/6250*x^2-72/625*x^3+81/125*x^4+(-121/156250)/(3+5*x)^2+_
+ (-1408/78125)/(3+5*x)+1202/15625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 6 5
+--R (300500x + 360600x + 108180)log(5x + 3) + 2531250x + 2587500x
+--R +
+--R 4 3 2
+--R - 2615625x - 1972500x + 1053225x + 624470x - 8569
+--R /
+--R 2
+--R 3906250x + 4687500x + 1406250
+--R Type: Expression(Integer)
+--E 452
+
+--S 453 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 6 5
+--R (300500x + 360600x + 108180)log(5x + 3) + 2531250x + 2587500x
+--R +
+--R 4 3 2
+--R - 2615625x - 1972500x + 1053225x + 624470x - 8569
+--R /
+--R 2
+--R 3906250x + 4687500x + 1406250
+--R Type: Union(Expression(Integer),...)
+--E 453
+
+--S 454 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 454
+
+--S 455 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 455
+
+)clear all
+
+--S 456 of 500
+t0:=(1-2*x)^2*(2+3*x)^3/(3+5*x)^3
+--R
+--R
+--R 5 4 3 2
+--R 108x + 108x - 45x - 58x + 4x + 8
+--R (1) ------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 456
+
+--S 457 of 500
+r0:=-153/3125*x-216/625*x^2+36/125*x^3+(-121/31250)/(3+5*x)^2+_
+ (-209/3125)/(3+5*x)+23/125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 5 3 2
+--R (143750x + 172500x + 51750)log(5x + 3) + 225000x - 281250x - 143100x
+--R +
+--R - 24220x - 6391
+--R /
+--R 2
+--R 781250x + 937500x + 281250
+--R Type: Expression(Integer)
+--E 457
+
+--S 458 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 5 3 2
+--R (143750x + 172500x + 51750)log(5x + 3) + 225000x - 281250x - 143100x
+--R +
+--R - 24220x - 6391
+--R /
+--R 2
+--R 781250x + 937500x + 281250
+--R Type: Union(Expression(Integer),...)
+--E 458
+
+--S 459 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 459
+
+--S 460 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 460
+
+)clear all
+
+--S 461 of 500
+t0:=(1-2*x)^2*(2+3*x)^2/(3+5*x)^3
+--R
+--R
+--R 4 3 2
+--R 36x + 12x - 23x - 4x + 4
+--R (1) ---------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 461
+
+--S 462 of 500
+r0:=-264/625*x+18/125*x^2+(-121/6250)/(3+5*x)^2+(-682/3125)/(3+5*x)+_
+ 829/3125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 4 3 2
+--R (41450x + 49740x + 14922)log(5x + 3) + 22500x - 39000x - 71100x
+--R +
+--R - 30580x - 4213
+--R /
+--R 2
+--R 156250x + 187500x + 56250
+--R Type: Expression(Integer)
+--E 462
+
+--S 463 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 4 3 2
+--R (41450x + 49740x + 14922)log(5x + 3) + 22500x - 39000x - 71100x
+--R +
+--R - 30580x - 4213
+--R /
+--R 2
+--R 156250x + 187500x + 56250
+--R Type: Union(Expression(Integer),...)
+--E 463
+
+--S 464 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 464
+
+--S 465 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 465
+
+)clear all
+
+--S 466 of 500
+t0:=(1-2*x)^2*(2+3*x)/(3+5*x)^3
+--R
+--R
+--R 3 2
+--R 12x - 4x - 5x + 2
+--R (1) -------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 466
+
+--S 467 of 500
+r0:=12/125*x+(-121/1250)/(3+5*x)^2+(-319/625)/(3+5*x)-128/625*log(3+5*x)
+--R
+--R
+--R 2 3 2
+--R (- 6400x - 7680x - 2304)log(5x + 3) + 3000x + 3600x - 2110x - 2035
+--R (2) ---------------------------------------------------------------------
+--R 2
+--R 31250x + 37500x + 11250
+--R Type: Expression(Integer)
+--E 467
+
+--S 468 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2 3 2
+--R (- 6400x - 7680x - 2304)log(5x + 3) + 3000x + 3600x - 2110x - 2035
+--R (3) ---------------------------------------------------------------------
+--R 2
+--R 31250x + 37500x + 11250
+--R Type: Union(Expression(Integer),...)
+--E 468
+
+--S 469 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 469
+
+--S 470 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 470
+
+)clear all
+
+--S 471 of 500
+t0:=(1-2*x)^2/(3+5*x)^3
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) -------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 471
+
+--S 472 of 500
+r0:=(-121/250)/(3+5*x)^2+44/125/(3+5*x)+4/125*log(3+5*x)
+--R
+--R
+--R 2
+--R (200x + 240x + 72)log(5x + 3) + 440x + 143
+--R (2) -------------------------------------------
+--R 2
+--R 6250x + 7500x + 2250
+--R Type: Expression(Integer)
+--E 472
+
+--S 473 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R (200x + 240x + 72)log(5x + 3) + 440x + 143
+--R (3) -------------------------------------------
+--R 2
+--R 6250x + 7500x + 2250
+--R Type: Union(Expression(Integer),...)
+--E 473
+
+--S 474 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 474
+
+--S 475 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 475
+
+)clear all
+
+--S 476 of 500
+t0:=(1-2*x)^2/((2+3*x)*(3+5*x)^3)
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ---------------------------------
+--R 4 3 2
+--R 375x + 925x + 855x + 351x + 54
+--R Type: Fraction(Polynomial(Integer))
+--E 476
+
+--S 477 of 500
+r0:=(-121/50)/(3+5*x)^2+407/25/(3+5*x)-49*log(2+3*x)+49*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (61250x + 73500x + 22050)log(5x + 3)
+--R +
+--R 2
+--R (- 61250x - 73500x - 22050)log(3x + 2) + 4070x + 2321
+--R /
+--R 2
+--R 1250x + 1500x + 450
+--R Type: Expression(Integer)
+--E 477
+
+--S 478 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (61250x + 73500x + 22050)log(5x + 3)
+--R +
+--R 2
+--R (- 61250x - 73500x - 22050)log(3x + 2) + 4070x + 2321
+--R /
+--R 2
+--R 1250x + 1500x + 450
+--R Type: Union(Expression(Integer),...)
+--E 478
+
+--S 479 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 479
+
+--S 480 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 480
+
+)clear all
+
+--S 481 of 500
+t0:=(1-2*x)^2/((2+3*x)^2*(3+5*x)^3)
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) ----------------------------------------------
+--R 5 4 3 2
+--R 1125x + 3525x + 4415x + 2763x + 864x + 108
+--R Type: Fraction(Polynomial(Integer))
+--E 481
+
+--S 482 of 500
+r0:=49/(2+3*x)+(-121/10)/(3+5*x)^2+154/(3+5*x)-707*log(2+3*x)+707*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (530250x + 989800x + 615090x + 127260)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 530250x - 989800x - 615090x - 127260)log(3x + 2) + 35350x + 43597x
+--R +
+--R 13408
+--R /
+--R 3 2
+--R 750x + 1400x + 870x + 180
+--R Type: Expression(Integer)
+--E 482
+
+--S 483 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (530250x + 989800x + 615090x + 127260)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 530250x - 989800x - 615090x - 127260)log(3x + 2) + 35350x + 43597x
+--R +
+--R 13408
+--R /
+--R 3 2
+--R 750x + 1400x + 870x + 180
+--R Type: Union(Expression(Integer),...)
+--E 483
+
+--S 484 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 484
+
+--S 485 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 485
+
+)clear all
+
+--S 486 of 500
+t0:=(1-2*x)^2/((2+3*x)^3*(3+5*x)^3)
+--R
+--R
+--R 2
+--R 4x - 4x + 1
+--R (1) -----------------------------------------------------------
+--R 6 5 4 3 2
+--R 3375x + 12825x + 20295x + 17119x + 8118x + 2052x + 216
+--R Type: Fraction(Polynomial(Integer))
+--E 486
+
+--S 487 of 500
+r0:=49/2/(2+3*x)^2+707/(2+3*x)+(-121/2)/(3+5*x)^2+1133/(3+5*x)-_
+ 6934*log(2+3*x)+6934*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (3120300x + 7904760x + 7502588x + 3161904x + 499248)log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 3120300x - 7904760x - 7502588x - 3161904x - 499248)log(3x + 2)
+--R +
+--R 3 2
+--R 208020x + 395238x + 249932x + 52601
+--R /
+--R 4 3 2
+--R 450x + 1140x + 1082x + 456x + 72
+--R Type: Expression(Integer)
+--E 487
+
+--S 488 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (3120300x + 7904760x + 7502588x + 3161904x + 499248)log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 3120300x - 7904760x - 7502588x - 3161904x - 499248)log(3x + 2)
+--R +
+--R 3 2
+--R 208020x + 395238x + 249932x + 52601
+--R /
+--R 4 3 2
+--R 450x + 1140x + 1082x + 456x + 72
+--R Type: Union(Expression(Integer),...)
+--E 488
+
+--S 489 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 489
+
+--S 490 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 490
+
+)clear all
+
+--S 491 of 500
+t0:=(1-2*x)^2/((2+3*x)^4*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R -----------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 10125x + 45225x + 86535x + 91947x + 58592x + 22392x + 4752x + 432
+--R Type: Fraction(Polynomial(Integer))
+--E 491
+
+--S 492 of 500
+r0:=49/3/(2+3*x)^3+707/2/(2+3*x)^2+6934/(2+3*x)+(-605/2)/(3+5*x)^2+_
+ 7480/(3+5*x)-57110*log(2+3*x)+57110*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R 231295500x + 740145600x + 946769580x + 605137560x + 193260240x
+--R +
+--R 24671520
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 231295500x - 740145600x - 946769580x - 605137560x - 193260240x
+--R +
+--R - 24671520
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 15419700x + 39577230x + 38058104x + 16250079x + 2599404
+--R /
+--R 5 4 3 2
+--R 4050x + 12960x + 16578x + 10596x + 3384x + 432
+--R Type: Expression(Integer)
+--E 492
+
+--S 493 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 231295500x + 740145600x + 946769580x + 605137560x + 193260240x
+--R +
+--R 24671520
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 231295500x - 740145600x - 946769580x - 605137560x - 193260240x
+--R +
+--R - 24671520
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 15419700x + 39577230x + 38058104x + 16250079x + 2599404
+--R /
+--R 5 4 3 2
+--R 4050x + 12960x + 16578x + 10596x + 3384x + 432
+--R Type: Union(Expression(Integer),...)
+--E 493
+
+--S 494 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 494
+
+--S 495 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 495
+
+)clear all
+
+--S 496 of 500
+t0:=(1-2*x)^2/((2+3*x)^5*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 30375x + 155925x + 350055x + 448911x + 359670x + 184360x + 59040x
+--R +
+--R 10800x + 864
+--R Type: Fraction(Polynomial(Integer))
+--E 496
+
+--S 497 of 500
+r0:=49/4/(2+3*x)^4+707/3/(2+3*x)^3+3467/(2+3*x)^2+57110/(2+3*x)+_
+ (-3025/2)/(3+5*x)^2+46475/(3+5*x)-424975*log(2+3*x)+424975*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 10326892500x + 39930651000x + 64302117300x + 55199152800x
+--R +
+--R 2
+--R 26640832800x + 6853996800x + 734356800
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 10326892500x - 39930651000x - 64302117300x - 55199152800x
+--R +
+--R 2
+--R - 26640832800x - 6853996800x - 734356800
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 688459500x + 2226019050x + 2877250740x + 1858347679x + 599747838x
+--R +
+--R 77372211
+--R /
+--R 6 5 4 3 2
+--R 24300x + 93960x + 151308x + 129888x + 62688x + 16128x + 1728
+--R Type: Expression(Integer)
+--E 497
+
+--S 498 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 10326892500x + 39930651000x + 64302117300x + 55199152800x
+--R +
+--R 2
+--R 26640832800x + 6853996800x + 734356800
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 10326892500x - 39930651000x - 64302117300x - 55199152800x
+--R +
+--R 2
+--R - 26640832800x - 6853996800x - 734356800
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 688459500x + 2226019050x + 2877250740x + 1858347679x + 599747838x
+--R +
+--R 77372211
+--R /
+--R 6 5 4 3 2
+--R 24300x + 93960x + 151308x + 129888x + 62688x + 16128x + 1728
+--R Type: Union(Expression(Integer),...)
+--E 498
+
+--S 499 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 499
+
+--S 500 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 500
+
+)spool
+)lisp (bye)
+
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff --git a/src/axiom-website/CATS/rich3e.input.pdf b/src/axiom-website/CATS/rich3e.input.pdf
new file mode 100644
index 0000000..aa0dc30
Binary files /dev/null and b/src/axiom-website/CATS/rich3e.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3f.input.pamphlet b/src/axiom-website/CATS/rich3f.input.pamphlet
new file mode 100644
index 0000000..1311f46
--- /dev/null
+++ b/src/axiom-website/CATS/rich3f.input.pamphlet
@@ -0,0 +1,6798 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input rich3f.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\verb|(a+b x)^m (c+d)^n (e+f x)^p|
+There are:
+\begin{itemize}
+\item 100 integrals in this file.
+\item 100 supplied "optimal results".
+\item 99 matching answers.
+\item 0 cases where Axiom supplied 2 results.
+\item 0 cases that Axiom failed to integrate.
+\item 1 that contain expressions Axiom does not recognize.
+\end{itemize}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f rich3f.output
+)spool rich3f.output
+)set message test on
+)set message auto off
+)clear all
+
+--S 1 of 500
+t0:=(1-2*x)^2/((2+3*x)^6*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R /
+--R 9 8 7 6 5 4
+--R 91125x + 528525x + 1362015x + 2046843x + 1976832x + 1272420x
+--R +
+--R 3 2
+--R 545840x + 150480x + 24192x + 1728
+--R Type: Fraction(Polynomial(Integer))
+--E 1
+
+--S 2 of 500
+r0:=49/5/(2+3*x)^5+707/4/(2+3*x)^4+6934/3/(2+3*x)^3+28555/(2+3*x)^2+_
+ 424975/(2+3*x)+(-15125/2)/(3+5*x)^2+277750/(3+5*x)-_
+ 2958125*log(2+3*x)+2958125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R 1078236562500x + 4888005750000x + 9493273912500x
+--R +
+--R 4 3 2
+--R 10239253875000x + 6623833500000x + 2570019000000x + 553761000000x
+--R +
+--R 51116400000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R - 1078236562500x - 4888005750000x - 9493273912500x
+--R +
+--R 4 3 2
+--R - 10239253875000x - 6623833500000x - 2570019000000x
+--R +
+--R - 553761000000x - 51116400000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 71882437500x + 280341506250x + 455361930000x + 394308004875x
+--R +
+--R 2
+--R 191974077080x + 49825144515x + 5385650262
+--R /
+--R 7 6 5 4 3 2
+--R 364500x + 1652400x + 3209220x + 3461400x + 2239200x + 868800x
+--R +
+--R 187200x + 17280
+--R Type: Expression(Integer)
+--E 2
+
+--S 3 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5
+--R 1078236562500x + 4888005750000x + 9493273912500x
+--R +
+--R 4 3 2
+--R 10239253875000x + 6623833500000x + 2570019000000x + 553761000000x
+--R +
+--R 51116400000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R - 1078236562500x - 4888005750000x - 9493273912500x
+--R +
+--R 4 3 2
+--R - 10239253875000x - 6623833500000x - 2570019000000x
+--R +
+--R - 553761000000x - 51116400000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 71882437500x + 280341506250x + 455361930000x + 394308004875x
+--R +
+--R 2
+--R 191974077080x + 49825144515x + 5385650262
+--R /
+--R 7 6 5 4 3 2
+--R 364500x + 1652400x + 3209220x + 3461400x + 2239200x + 868800x
+--R +
+--R 187200x + 17280
+--R Type: Union(Expression(Integer),...)
+--E 3
+
+--S 4 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 4
+
+--S 5 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 5
+
+)clear all
+
+--S 6 of 500
+t0:=(1-2*x)^2/((2+3*x)^7*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R /
+--R 10 9 8 7 6 5
+--R 273375x + 1767825x + 5143095x + 8864559x + 10024182x + 7770924x
+--R +
+--R 4 3 2
+--R 4182360x + 1543120x + 373536x + 53568x + 3456
+--R Type: Fraction(Polynomial(Integer))
+--E 6
+
+--S 7 of 500
+r0:=49/6/(2+3*x)^6+707/5/(2+3*x)^5+3467/2/(2+3*x)^4+57110/3/(2+3*x)^3+_
+ 424975/2/(2+3*x)^2+2958125/(2+3*x)+(-75625/2)/(3+5*x)^2+_
+ 1615625/(3+5*x)-19637500*log(2+3*x)+19637500*log(3+5*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R 3578934375000x + 18610458750000x + 42326863875000x
+--R +
+--R 5 4 3
+--R 54993640500000x + 44643892500000x + 23187960000000x
+--R +
+--R 2
+--R 7525090000000x + 1395048000000x + 113112000000
+--R *
+--R log(5x + 3)
+--R +
+--R 8 7 6
+--R - 3578934375000x - 18610458750000x - 42326863875000x
+--R +
+--R 5 4 3
+--R - 54993640500000x - 44643892500000x - 23187960000000x
+--R +
+--R 2
+--R - 7525090000000x - 1395048000000x - 113112000000
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R 238595625000x + 1089586687500x + 2131807725000x + 2316445391250x
+--R +
+--R 3 2
+--R 1509746867100x + 590188362770x + 128130976648x + 11917538647
+--R /
+--R 8 7 6 5 4 3
+--R 182250x + 947700x + 2155410x + 2800440x + 2273400x + 1180800x
+--R +
+--R 2
+--R 383200x + 71040x + 5760
+--R Type: Expression(Integer)
+--E 7
+
+--S 8 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R 3578934375000x + 18610458750000x + 42326863875000x
+--R +
+--R 5 4 3
+--R 54993640500000x + 44643892500000x + 23187960000000x
+--R +
+--R 2
+--R 7525090000000x + 1395048000000x + 113112000000
+--R *
+--R log(5x + 3)
+--R +
+--R 8 7 6
+--R - 3578934375000x - 18610458750000x - 42326863875000x
+--R +
+--R 5 4 3
+--R - 54993640500000x - 44643892500000x - 23187960000000x
+--R +
+--R 2
+--R - 7525090000000x - 1395048000000x - 113112000000
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R 238595625000x + 1089586687500x + 2131807725000x + 2316445391250x
+--R +
+--R 3 2
+--R 1509746867100x + 590188362770x + 128130976648x + 11917538647
+--R /
+--R 8 7 6 5 4 3
+--R 182250x + 947700x + 2155410x + 2800440x + 2273400x + 1180800x
+--R +
+--R 2
+--R 383200x + 71040x + 5760
+--R Type: Union(Expression(Integer),...)
+--E 8
+
+--S 9 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 9
+
+--S 10 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 10
+
+)clear all
+
+--S 11 of 500
+t0:=(1-2*x)^2/((2+3*x)^8*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 2
+--R 4x - 4x + 1
+--R /
+--R 11 10 9 8 7
+--R 820125x + 5850225x + 18964935x + 36879867x + 47801664x
+--R +
+--R 6 5 4 3 2
+--R 43361136x + 28088928x + 12994080x + 4206848x + 907776x + 117504x
+--R +
+--R 6912
+--R Type: Fraction(Polynomial(Integer))
+--E 11
+
+--S 12 of 500
+r0:=7/(2+3*x)^7+707/6/(2+3*x)^6+6934/5/(2+3*x)^5+28555/2/(2+3*x)^4+_
+ 424975/3/(2+3*x)^3+2958125/2/(2+3*x)^2+19637500/(2+3*x)+_
+ (-378125/2)/(3+5*x)^2+9212500/(3+5*x)-125825000*log(2+3*x)+_
+ 125825000*log(3+5*x)
+--R
+--R
+--R (2)
+--R 9 8 7
+--R 68794818750000x + 403596270000000x + 1052102094750000x
+--R +
+--R 6 5 4
+--R 1599505015500000x + 1562882391000000x + 1017823590000000x
+--R +
+--R 3 2
+--R 441796740000000x + 123248104000000x + 20051472000000x + 1449504000000
+--R *
+--R log(5x + 3)
+--R +
+--R 9 8 7
+--R - 68794818750000x - 403596270000000x - 1052102094750000x
+--R +
+--R 6 5 4
+--R - 1599505015500000x - 1562882391000000x - 1017823590000000x
+--R +
+--R 3 2
+--R - 441796740000000x - 123248104000000x - 20051472000000x
+--R +
+--R - 1449504000000
+--R *
+--R log(3x + 2)
+--R +
+--R 8 7 6 5
+--R 4586321250000x + 24001747875000x + 54940731300000x + 71845684942500x
+--R +
+--R 4 3 2
+--R 58705292494800x + 30691745453460x + 10026079791288x + 1871049429619x
+--R +
+--R 152720488888
+--R /
+--R 9 8 7 6 5 4
+--R 546750x + 3207600x + 8361630x + 12712140x + 12421080x + 8089200x
+--R +
+--R 3 2
+--R 3511200x + 979520x + 159360x + 11520
+--R Type: Expression(Integer)
+--E 12
+
+--S 13 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8 7
+--R 68794818750000x + 403596270000000x + 1052102094750000x
+--R +
+--R 6 5 4
+--R 1599505015500000x + 1562882391000000x + 1017823590000000x
+--R +
+--R 3 2
+--R 441796740000000x + 123248104000000x + 20051472000000x + 1449504000000
+--R *
+--R log(5x + 3)
+--R +
+--R 9 8 7
+--R - 68794818750000x - 403596270000000x - 1052102094750000x
+--R +
+--R 6 5 4
+--R - 1599505015500000x - 1562882391000000x - 1017823590000000x
+--R +
+--R 3 2
+--R - 441796740000000x - 123248104000000x - 20051472000000x
+--R +
+--R - 1449504000000
+--R *
+--R log(3x + 2)
+--R +
+--R 8 7 6 5
+--R 4586321250000x + 24001747875000x + 54940731300000x + 71845684942500x
+--R +
+--R 4 3 2
+--R 58705292494800x + 30691745453460x + 10026079791288x + 1871049429619x
+--R +
+--R 152720488888
+--R /
+--R 9 8 7 6 5 4
+--R 546750x + 3207600x + 8361630x + 12712140x + 12421080x + 8089200x
+--R +
+--R 3 2
+--R 3511200x + 979520x + 159360x + 11520
+--R Type: Union(Expression(Integer),...)
+--E 13
+
+--S 14 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 14
+
+--S 15 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 15
+
+)clear all
+
+--S 16 of 500
+t0:=(1-2*x)^3*(2+3*x)^8*(3+5*x)
+--R
+--R
+--R (1)
+--R 12 11 10 9 8 7
+--R - 262440x - 1163484x - 1966842x - 1290573x + 344979x + 1027296x
+--R +
+--R 6 5 4 3 2
+--R 470736x - 104736x - 159712x - 36864x + 9984x + 5888x + 768
+--R Type: Polynomial(Integer)
+--E 16
+
+--S 17 of 500
+r0:=-343/2187*(2+3*x)^9+2009/2430*(2+3*x)^10-518/891*(2+3*x)^11+_
+ 107/729*(2+3*x)^12-40/3159*(2+3*x)^13
+--R
+--R
+--R (2)
+--R 262440 13 12 1966842 11 1290573 10 9 8
+--R - ------ x - 96957x - ------- x - ------- x + 38331x + 128412x
+--R 13 11 10
+--R +
+--R 7 6 159712 5 4 3 2 114328576
+--R 67248x - 17456x - ------ x - 9216x + 3328x + 2944x + 768x + ---------
+--R 5 1563705
+--R Type: Polynomial(Fraction(Integer))
+--E 17
+
+--S 18 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 262440 13 12 1966842 11 1290573 10 9 8
+--R - ------ x - 96957x - ------- x - ------- x + 38331x + 128412x
+--R 13 11 10
+--R +
+--R 7 6 159712 5 4 3 2
+--R 67248x - 17456x - ------ x - 9216x + 3328x + 2944x + 768x
+--R 5
+--R Type: Polynomial(Fraction(Integer))
+--E 18
+
+--S 19 of 500
+m0:=a0-r0
+--R
+--R
+--R 114328576
+--R (4) - ---------
+--R 1563705
+--R Type: Polynomial(Fraction(Integer))
+--E 19
+
+--S 20 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 20
+
+)clear all
+
+--S 21 of 500
+t0:=(1-2*x)^3*(2+3*x)^7*(3+5*x)
+--R
+--R
+--R (1)
+--R 11 10 9 8 7 6
+--R - 87480x - 329508x - 435942x - 139563x + 208035x + 203742x
+--R +
+--R 5 4 3 2
+--R 21084x - 48968x - 20592x + 1440x + 2368x + 384
+--R Type: Polynomial(Integer)
+--E 21
+
+--S 22 of 500
+r0:=384*x+1184*x^2+480*x^3-5148*x^4-48968/5*x^5+3514*x^6+29106*x^7+_
+ 208035/8*x^8-15507*x^9-217971/5*x^10-329508/11*x^11-7290*x^12
+--R
+--R
+--R (2)
+--R 12 329508 11 217971 10 9 208035 8 7
+--R - 7290x - ------ x - ------ x - 15507x + ------ x + 29106x
+--R 11 5 8
+--R +
+--R 6 48968 5 4 3 2
+--R 3514x - ----- x - 5148x + 480x + 1184x + 384x
+--R 5
+--R Type: Polynomial(Fraction(Integer))
+--E 22
+
+--S 23 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 12 329508 11 217971 10 9 208035 8 7
+--R - 7290x - ------ x - ------ x - 15507x + ------ x + 29106x
+--R 11 5 8
+--R +
+--R 6 48968 5 4 3 2
+--R 3514x - ----- x - 5148x + 480x + 1184x + 384x
+--R 5
+--R Type: Polynomial(Fraction(Integer))
+--E 23
+
+--S 24 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 24
+
+--S 25 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 25
+
+)clear all
+
+--S 26 of 500
+t0:=(1-2*x)^3*(2+3*x)^6*(3+5*x)
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5 4
+--R - 29160x - 90396x - 85050x + 10179x + 62559x + 26208x - 10444x
+--R +
+--R 3 2
+--R - 9360x - 624x + 896x + 192
+--R Type: Polynomial(Integer)
+--E 26
+
+--S 27 of 500
+r0:=192*x+448*x^2-208*x^3-2340*x^4-10444/5*x^5+4368*x^6+8937*x^7+_
+ 10179/8*x^8-9450*x^9-45198/5*x^10-29160/11*x^11
+--R
+--R
+--R (2)
+--R 29160 11 45198 10 9 10179 8 7 6 10444 5
+--R - ----- x - ----- x - 9450x + ----- x + 8937x + 4368x - ----- x
+--R 11 5 8 5
+--R +
+--R 4 3 2
+--R - 2340x - 208x + 448x + 192x
+--R Type: Polynomial(Fraction(Integer))
+--E 27
+
+--S 28 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 29160 11 45198 10 9 10179 8 7 6 10444 5
+--R - ----- x - ----- x - 9450x + ----- x + 8937x + 4368x - ----- x
+--R 11 5 8 5
+--R +
+--R 4 3 2
+--R - 2340x - 208x + 448x + 192x
+--R Type: Polynomial(Fraction(Integer))
+--E 28
+
+--S 29 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 29
+
+--S 30 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 30
+
+)clear all
+
+--S 31 of 500
+t0:=(1-2*x)^3*(2+3*x)^5*(3+5*x)
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3 2
+--R - 9720x - 23652x - 12582x + 11781x + 12999x + 70x - 3528x - 768x
+--R +
+--R 304x + 96
+--R Type: Polynomial(Integer)
+--E 31
+
+--S 32 of 500
+r0:=96*x+152*x^2-256*x^3-882*x^4+14*x^5+4333/2*x^6+1683*x^7-6291/4*x^8-_
+ 2628*x^9-972*x^10
+--R
+--R
+--R (2)
+--R 10 9 6291 8 7 4333 6 5 4 3
+--R - 972x - 2628x - ---- x + 1683x + ---- x + 14x - 882x - 256x
+--R 4 2
+--R +
+--R 2
+--R 152x + 96x
+--R Type: Polynomial(Fraction(Integer))
+--E 32
+
+--S 33 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 6291 8 7 4333 6 5 4 3
+--R - 972x - 2628x - ---- x + 1683x + ---- x + 14x - 882x - 256x
+--R 4 2
+--R +
+--R 2
+--R 152x + 96x
+--R Type: Polynomial(Fraction(Integer))
+--E 33
+
+--S 34 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 34
+
+--S 35 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 35
+
+)clear all
+
+--S 36 of 500
+t0:=(1-2*x)^3*(2+3*x)^4*(3+5*x)
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 3240x - 5724x - 378x + 4179x + 1547x - 1008x - 504x + 80x + 48
+--R Type: Polynomial(Integer)
+--E 36
+
+--S 37 of 500
+r0:=48*x+40*x^2-168*x^3-252*x^4+1547/5*x^5+1393/2*x^6-54*x^7-1431/2*x^8-360*x^9
+--R
+--R
+--R (2)
+--R 9 1431 8 7 1393 6 1547 5 4 3 2
+--R - 360x - ---- x - 54x + ---- x + ---- x - 252x - 168x + 40x + 48x
+--R 2 2 5
+--R Type: Polynomial(Fraction(Integer))
+--E 37
+
+--S 38 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 1431 8 7 1393 6 1547 5 4 3 2
+--R - 360x - ---- x - 54x + ---- x + ---- x - 252x - 168x + 40x + 48x
+--R 2 2 5
+--R Type: Polynomial(Fraction(Integer))
+--E 38
+
+--S 39 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 39
+
+--S 40 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 40
+
+)clear all
+
+--S 41 of 500
+t0:=(1-2*x)^3*(2+3*x)^3*(3+5*x)
+--R
+--R
+--R 7 6 5 4 3 2
+--R (1) - 1080x - 1188x + 666x + 949x - 117x - 258x + 4x + 24
+--R Type: Polynomial(Integer)
+--E 41
+
+--S 42 of 500
+r0:=24*x+2*x^2-86*x^3-117/4*x^4+949/5*x^5+111*x^6-1188/7*x^7-135*x^8
+--R
+--R
+--R 8 1188 7 6 949 5 117 4 3 2
+--R (2) - 135x - ---- x + 111x + --- x - --- x - 86x + 2x + 24x
+--R 7 5 4
+--R Type: Polynomial(Fraction(Integer))
+--E 42
+
+--S 43 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 8 1188 7 6 949 5 117 4 3 2
+--R (3) - 135x - ---- x + 111x + --- x - --- x - 86x + 2x + 24x
+--R 7 5 4
+--R Type: Polynomial(Fraction(Integer))
+--E 43
+
+--S 44 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 44
+
+--S 45 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 45
+
+)clear all
+
+--S 46 of 500
+t0:=(1-2*x)^3*(2+3*x)^2*(3+5*x)
+--R
+--R
+--R 6 5 4 3 2
+--R (1) - 360x - 156x + 326x + 99x - 105x - 16x + 12
+--R Type: Polynomial(Integer)
+--E 46
+
+--S 47 of 500
+r0:=12*x-8*x^2-35*x^3+99/4*x^4+326/5*x^5-26*x^6-360/7*x^7
+--R
+--R
+--R 360 7 6 326 5 99 4 3 2
+--R (2) - --- x - 26x + --- x + -- x - 35x - 8x + 12x
+--R 7 5 4
+--R Type: Polynomial(Fraction(Integer))
+--E 47
+
+--S 48 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 360 7 6 326 5 99 4 3 2
+--R (3) - --- x - 26x + --- x + -- x - 35x - 8x + 12x
+--R 7 5 4
+--R Type: Polynomial(Fraction(Integer))
+--E 48
+
+--S 49 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 49
+
+--S 50 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 50
+
+)clear all
+
+--S 51 of 500
+t0:=(1-2*x)^3*(2+3*x)*(3+5*x)
+--R
+--R
+--R 5 4 3 2
+--R (1) - 120x + 28x + 90x - 27x - 17x + 6
+--R Type: Polynomial(Integer)
+--E 51
+
+--S 52 of 500
+r0:=6*x-17/2*x^2-9*x^3+45/2*x^4+28/5*x^5-20*x^6
+--R
+--R
+--R 6 28 5 45 4 3 17 2
+--R (2) - 20x + -- x + -- x - 9x - -- x + 6x
+--R 5 2 2
+--R Type: Polynomial(Fraction(Integer))
+--E 52
+
+--S 53 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 6 28 5 45 4 3 17 2
+--R (3) - 20x + -- x + -- x - 9x - -- x + 6x
+--R 5 2 2
+--R Type: Polynomial(Fraction(Integer))
+--E 53
+
+--S 54 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 54
+
+--S 55 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 55
+
+)clear all
+
+--S 56 of 500
+t0:=(1-2*x)^3*(3+5*x)
+--R
+--R
+--R 4 3 2
+--R (1) - 40x + 36x + 6x - 13x + 3
+--R Type: Polynomial(Integer)
+--E 56
+
+--S 57 of 500
+r0:=3*x-13/2*x^2+2*x^3+9*x^4-8*x^5
+--R
+--R
+--R 5 4 3 13 2
+--R (2) - 8x + 9x + 2x - -- x + 3x
+--R 2
+--R Type: Polynomial(Fraction(Integer))
+--E 57
+
+--S 58 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 3 13 2
+--R (3) - 8x + 9x + 2x - -- x + 3x
+--R 2
+--R Type: Polynomial(Fraction(Integer))
+--E 58
+
+--S 59 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 59
+
+--S 60 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 60
+
+)clear all
+
+--S 61 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)
+--R
+--R
+--R 4 3 2
+--R - 40x + 36x + 6x - 13x + 3
+--R (1) -----------------------------
+--R 3x + 2
+--R Type: Fraction(Polynomial(Integer))
+--E 61
+
+--S 62 of 500
+r0:=293/81*x-161/27*x^2+188/27*x^3-10/3*x^4-343/243*log(2+3*x)
+--R
+--R
+--R 4 3 2
+--R - 343log(3x + 2) - 810x + 1692x - 1449x + 879x
+--R (2) -------------------------------------------------
+--R 243
+--R Type: Expression(Integer)
+--E 62
+
+--S 63 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R - 343log(3x + 2) - 810x + 1692x - 1449x + 879x
+--R (3) -------------------------------------------------
+--R 243
+--R Type: Union(Expression(Integer),...)
+--E 63
+
+--S 64 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 64
+
+--S 65 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 65
+
+)clear all
+
+--S 66 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^2
+--R
+--R
+--R 4 3 2
+--R - 40x + 36x + 6x - 13x + 3
+--R (1) -----------------------------
+--R 2
+--R 9x + 12x + 4
+--R Type: Fraction(Polynomial(Integer))
+--E 66
+
+--S 67 of 500
+r0:=-286/27*x+134/27*x^2-40/27*x^3+343/243/(2+3*x)+2009/243*log(2+3*x)
+--R
+--R
+--R 4 3 2
+--R (6027x + 4018)log(3x + 2) - 1080x + 2898x - 5310x - 5148x + 343
+--R (2) ------------------------------------------------------------------
+--R 729x + 486
+--R Type: Expression(Integer)
+--E 67
+
+--S 68 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R (6027x + 4018)log(3x + 2) - 1080x + 2898x - 5310x - 5148x + 343
+--R (3) ------------------------------------------------------------------
+--R 729x + 486
+--R Type: Union(Expression(Integer),...)
+--E 68
+
+--S 69 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 69
+
+--S 70 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 70
+
+)clear all
+
+--S 71 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^3
+--R
+--R
+--R 4 3 2
+--R - 40x + 36x + 6x - 13x + 3
+--R (1) -----------------------------
+--R 3 2
+--R 27x + 54x + 36x + 8
+--R Type: Fraction(Polynomial(Integer))
+--E 71
+
+--S 72 of 500
+r0:=116/27*x-20/27*x^2+343/486/(2+3*x)^2+(-2009/243)/(2+3*x)-518/81*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2 4 3 2
+--R (- 27972x - 37296x - 12432)log(3x + 2) - 3240x + 14472x + 23616x
+--R +
+--R - 3702x - 7693
+--R /
+--R 2
+--R 4374x + 5832x + 1944
+--R Type: Expression(Integer)
+--E 72
+
+--S 73 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 4 3 2
+--R (- 27972x - 37296x - 12432)log(3x + 2) - 3240x + 14472x + 23616x
+--R +
+--R - 3702x - 7693
+--R /
+--R 2
+--R 4374x + 5832x + 1944
+--R Type: Union(Expression(Integer),...)
+--E 73
+
+--S 74 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 74
+
+--S 75 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 75
+
+)clear all
+
+--S 76 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^4
+--R
+--R
+--R 4 3 2
+--R - 40x + 36x + 6x - 13x + 3
+--R (1) -------------------------------
+--R 4 3 2
+--R 81x + 216x + 216x + 96x + 16
+--R Type: Fraction(Polynomial(Integer))
+--E 76
+
+--S 77 of 500
+r0:=-40/81*x+343/729/(2+3*x)^3+(-2009/486)/(2+3*x)^2+518/81/(2+3*x)+_
+ 428/243*log(2+3*x)
+--R
+--R
+--R (2)
+--R 3 2 4 3
+--R (69336x + 138672x + 92448x + 20544)log(3x + 2) - 19440x - 38880x
+--R +
+--R 2
+--R 57996x + 88047x + 25928
+--R /
+--R 3 2
+--R 39366x + 78732x + 52488x + 11664
+--R Type: Expression(Integer)
+--E 77
+
+--S 78 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2 4 3
+--R (69336x + 138672x + 92448x + 20544)log(3x + 2) - 19440x - 38880x
+--R +
+--R 2
+--R 57996x + 88047x + 25928
+--R /
+--R 3 2
+--R 39366x + 78732x + 52488x + 11664
+--R Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 79
+
+--S 80 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 80
+
+)clear all
+
+--S 81 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^5
+--R
+--R
+--R 4 3 2
+--R - 40x + 36x + 6x - 13x + 3
+--R (1) ------------------------------------------
+--R 5 4 3 2
+--R 243x + 810x + 1080x + 720x + 240x + 32
+--R Type: Fraction(Polynomial(Integer))
+--E 81
+
+--S 82 of 500
+r0:=343/972/(2+3*x)^4+(-2009/729)/(2+3*x)^3+259/81/(2+3*x)^2+_
+ (-428/243)/(2+3*x)-40/243*log(2+3*x)
+--R
+--R
+--R (2)
+--R 4 3 2 3
+--R (- 38880x - 103680x - 103680x - 46080x - 7680)log(3x + 2) - 138672x
+--R +
+--R 2
+--R - 193428x - 97116x - 18835
+--R /
+--R 4 3 2
+--R 236196x + 629856x + 629856x + 279936x + 46656
+--R Type: Expression(Integer)
+--E 82
+
+--S 83 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2 3
+--R (- 38880x - 103680x - 103680x - 46080x - 7680)log(3x + 2) - 138672x
+--R +
+--R 2
+--R - 193428x - 97116x - 18835
+--R /
+--R 4 3 2
+--R 236196x + 629856x + 629856x + 279936x + 46656
+--R Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 84
+
+--S 85 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 85
+
+)clear all
+
+--S 86 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^6
+--R
+--R
+--R 4 3 2
+--R - 40x + 36x + 6x - 13x + 3
+--R (1) -----------------------------------------------------
+--R 6 5 4 3 2
+--R 729x + 2916x + 4860x + 4320x + 2160x + 576x + 64
+--R Type: Fraction(Polynomial(Integer))
+--E 86
+
+--S 87 of 500
+r0:=1/105*(1-2*x)^4/(2+3*x)^5-173/2940*(1-2*x)^4/(2+3*x)^4
+--R
+--R
+--R 692 5 64 4 38 3 58 2 5 53
+--R - ----- x + ---- x - ----- x - ----- x + ---- x - ------
+--R 59535 3969 11907 11907 1764 119070
+--R (2) ------------------------------------------------------------
+--R 5 10 4 40 3 80 2 80 32
+--R x + -- x + -- x + -- x + -- x + ---
+--R 3 9 27 81 243
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 87
+
+--S 88 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R 64800x + 57240x + 34920x + 16905x + 1282
+--R (3) -----------------------------------------------------------------
+--R 5 4 3 2
+--R 1180980x + 3936600x + 5248800x + 3499200x + 1166400x + 155520
+--R Type: Union(Expression(Integer),...)
+--E 88
+
+--S 89 of 500
+m0:=a0-r0
+--R
+--R
+--R 692
+--R (4) -----
+--R 59535
+--R Type: Expression(Integer)
+--E 89
+
+--S 90 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 90
+
+)clear all
+
+--S 91 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^7
+--R
+--R
+--R 4 3 2
+--R - 40x + 36x + 6x - 13x + 3
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 2187x + 10206x + 20412x + 22680x + 15120x + 6048x + 1344x + 128
+--R Type: Fraction(Polynomial(Integer))
+--E 91
+
+--S 92 of 500
+r0:=1/126*(1-2*x)^4/(2+3*x)^6-103/2205*(1-2*x)^4/(2+3*x)^5-_
+ 103/30870*(1-2*x)^4/(2+3*x)^4
+--R
+--R
+--R (2)
+--R 824 6 3296 5 44 4 316 3 659 2 349
+--R - ------- x - ------- x + ---- x - ------ x - ------ x + ------ x
+--R 1250235 1250235 9261 250047 500094 416745
+--R +
+--R 113
+--R - ------
+--R 833490
+--R /
+--R 6 5 20 4 160 3 80 2 64 64
+--R x + 4x + -- x + --- x + -- x + -- x + ---
+--R 3 27 27 81 729
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 92
+
+--S 93 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R 48600x + 14040x + 3375x + 7218x - 413
+--R /
+--R 6 5 4 3 2
+--R 5314410x + 21257640x + 35429400x + 31492800x + 15746400x + 4199040x
+--R +
+--R 466560
+--R Type: Union(Expression(Integer),...)
+--E 93
+
+--S 94 of 500
+m0:=a0-r0
+--R
+--R
+--R 824
+--R (4) -------
+--R 1250235
+--R Type: Expression(Integer)
+--E 94
+
+--S 95 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 95
+
+)clear all
+
+--S 96 of 500
+t0:=(1-2*x)^3*(3+5*x)/(2+3*x)^8
+--R
+--R
+--R (1)
+--R 4 3 2
+--R - 40x + 36x + 6x - 13x + 3
+--R /
+--R 8 7 6 5 4 3 2
+--R 6561x + 34992x + 81648x + 108864x + 90720x + 48384x + 16128x
+--R +
+--R 3072x + 256
+--R Type: Fraction(Polynomial(Integer))
+--E 96
+
+--S 97 of 500
+r0:=49/243/(2+3*x)^7+(-2009/1458)/(2+3*x)^6+518/405/(2+3*x)^5+_
+ (-107/243)/(2+3*x)^4+40/729/(2+3*x)^3
+--R
+--R
+--R 40 4 1 3 56 2 1531 302
+--R ----- x - ----- x - ------ x + ------- x - -------
+--R 19683 59049 295245 5314410 7971615
+--R (2) ------------------------------------------------------------
+--R 7 14 6 28 5 280 4 560 3 224 2 448 128
+--R x + -- x + -- x + --- x + --- x + --- x + --- x + ----
+--R 3 3 27 81 81 729 2187
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 97
+
+--S 98 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R 32400x - 270x - 3024x + 4593x - 604
+--R /
+--R 7 6 5 4 3
+--R 15943230x + 74401740x + 148803480x + 165337200x + 110224800x
+--R +
+--R 2
+--R 44089920x + 9797760x + 933120
+--R Type: Union(Expression(Integer),...)
+--E 98
+
+--S 99 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 99
+
+--S 100 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 100
+
+)clear all
+
+--S 101 of 500
+t0:=(1-2*x)^3*(2+3*x)^8*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 13 12 11 10 9
+--R - 1312200x - 6604740x - 13324662x - 12353391x - 2146824x
+--R +
+--R 8 7 6 5 4 3 2
+--R 6171417x + 5435568x + 888528x - 1112768x - 663456x - 60672x + 59392x
+--R +
+--R 21504x + 2304
+--R Type: Polynomial(Integer)
+--E 101
+
+--S 102 of 500
+r0:=2304*x+10752*x^2+59392/3*x^3-15168*x^4-663456/5*x^5-556384/3*x^6+_
+ 888528/7*x^7+679446*x^8+685713*x^9-1073412/5*x^10-_
+ 12353391/11*x^11-2220777/2*x^12-6604740/13*x^13-656100/7*x^14
+--R
+--R
+--R (2)
+--R 656100 14 6604740 13 2220777 12 12353391 11 1073412 10
+--R - ------ x - ------- x - ------- x - -------- x - ------- x
+--R 7 13 2 11 5
+--R +
+--R 9 8 888528 7 556384 6 663456 5 4
+--R 685713x + 679446x + ------ x - ------ x - ------ x - 15168x
+--R 7 3 5
+--R +
+--R 59392 3 2
+--R ----- x + 10752x + 2304x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 102
+
+--S 103 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 656100 14 6604740 13 2220777 12 12353391 11 1073412 10
+--R - ------ x - ------- x - ------- x - -------- x - ------- x
+--R 7 13 2 11 5
+--R +
+--R 9 8 888528 7 556384 6 663456 5 4
+--R 685713x + 679446x + ------ x - ------ x - ------ x - 15168x
+--R 7 3 5
+--R +
+--R 59392 3 2
+--R ----- x + 10752x + 2304x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 103
+
+--S 104 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 104
+
+--S 105 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 105
+
+)clear all
+
+--S 106 of 500
+t0:=(1-2*x)^3*(2+3*x)^7*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 12 11 10 9 8 7
+--R - 437400x - 1909980x - 3168234x - 2005641x + 621486x + 1642815x
+--R +
+--R 6 5 4 3 2
+--R 716646x - 181588x - 249864x - 54576x + 16160x + 9024x + 1152
+--R Type: Polynomial(Integer)
+--E 106
+
+--S 107 of 500
+r0:=1152*x+4512*x^2+16160/3*x^3-13644*x^4-249864/5*x^5-90794/3*x^6+_
+ 102378*x^7+1642815/8*x^8+69054*x^9-2005641/10*x^10-3168234/11*x^11-_
+ 159165*x^12-437400/13*x^13
+--R
+--R
+--R (2)
+--R 437400 13 12 3168234 11 2005641 10 9 1642815 8
+--R - ------ x - 159165x - ------- x - ------- x + 69054x + ------- x
+--R 13 11 10 8
+--R +
+--R 7 90794 6 249864 5 4 16160 3 2
+--R 102378x - ----- x - ------ x - 13644x + ----- x + 4512x + 1152x
+--R 3 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 107
+
+--S 108 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 437400 13 12 3168234 11 2005641 10 9 1642815 8
+--R - ------ x - 159165x - ------- x - ------- x + 69054x + ------- x
+--R 13 11 10 8
+--R +
+--R 7 90794 6 249864 5 4 16160 3 2
+--R 102378x - ----- x - ------ x - 13644x + ----- x + 4512x + 1152x
+--R 3 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 108
+
+--S 109 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 109
+
+--S 110 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 110
+
+)clear all
+
+--S 111 of 500
+t0:=(1-2*x)^3*(2+3*x)^6*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 11 10 9 8 7 6
+--R - 145800x - 539460x - 696438x - 204255x + 343332x + 318717x
+--R +
+--R 5 4 3 2
+--R 26404x - 78132x - 31200x + 2608x + 3648x + 576
+--R Type: Polynomial(Integer)
+--E 111
+
+--S 112 of 500
+r0:=576*x+1824*x^2+2608/3*x^3-7800*x^4-78132/5*x^5+13202/3*x^6+45531*x^7+_
+ 85833/2*x^8-22695*x^9-348219/5*x^10-539460/11*x^11-12150*x^12
+--R
+--R
+--R (2)
+--R 12 539460 11 348219 10 9 85833 8 7
+--R - 12150x - ------ x - ------ x - 22695x + ----- x + 45531x
+--R 11 5 2
+--R +
+--R 13202 6 78132 5 4 2608 3 2
+--R ----- x - ----- x - 7800x + ---- x + 1824x + 576x
+--R 3 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 112
+
+--S 113 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 12 539460 11 348219 10 9 85833 8 7
+--R - 12150x - ------ x - ------ x - 22695x + ----- x + 45531x
+--R 11 5 2
+--R +
+--R 13202 6 78132 5 4 2608 3 2
+--R ----- x - ----- x - 7800x + ---- x + 1824x + 576x
+--R 3 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 113
+
+--S 114 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 114
+
+--S 115 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 115
+
+)clear all
+
+--S 116 of 500
+t0:=(1-2*x)^3*(2+3*x)^5*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5 4
+--R - 48600x - 147420x - 133866x + 21159x + 100338x + 39347x - 17430x
+--R +
+--R 3 2
+--R - 14424x - 784x + 1392x + 288
+--R Type: Polynomial(Integer)
+--E 116
+
+--S 117 of 500
+r0:=288*x+696*x^2-784/3*x^3-3606*x^4-3486*x^5+39347/6*x^6+14334*x^7+_
+ 21159/8*x^8-14874*x^9-14742*x^10-48600/11*x^11
+--R
+--R
+--R (2)
+--R 48600 11 10 9 21159 8 7 39347 6 5
+--R - ----- x - 14742x - 14874x + ----- x + 14334x + ----- x - 3486x
+--R 11 8 6
+--R +
+--R 4 784 3 2
+--R - 3606x - --- x + 696x + 288x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 117
+
+--S 118 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 48600 11 10 9 21159 8 7 39347 6 5
+--R - ----- x - 14742x - 14874x + ----- x + 14334x + ----- x - 3486x
+--R 11 8 6
+--R +
+--R 4 784 3 2
+--R - 3606x - --- x + 696x + 288x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 118
+
+--S 119 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 119
+
+--S 120 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 120
+
+)clear all
+
+--S 121 of 500
+t0:=(1-2*x)^3*(2+3*x)^4*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3 2
+--R - 16200x - 38340x - 19062x + 19761x + 20272x - 399x - 5544x - 1112x
+--R +
+--R 480x + 144
+--R Type: Polynomial(Integer)
+--E 121
+
+--S 122 of 500
+r0:=144*x+240*x^2-1112/3*x^3-1386*x^4-399/5*x^5+10136/3*x^6+2823*x^7-_
+ 9531/4*x^8-4260*x^9-1620*x^10
+--R
+--R
+--R (2)
+--R 10 9 9531 8 7 10136 6 399 5 4
+--R - 1620x - 4260x - ---- x + 2823x + ----- x - --- x - 1386x
+--R 4 3 5
+--R +
+--R 1112 3 2
+--R - ---- x + 240x + 144x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 122
+
+--S 123 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 9531 8 7 10136 6 399 5 4
+--R - 1620x - 4260x - ---- x + 2823x + ----- x - --- x - 1386x
+--R 4 3 5
+--R +
+--R 1112 3 2
+--R - ---- x + 240x + 144x
+--R 3
+--R Type: Polynomial(Fraction(Integer))
+--E 123
+
+--S 124 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 124
+
+--S 125 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 125
+
+)clear all
+
+--S 126 of 500
+t0:=(1-2*x)^3*(2+3*x)^3*(3+5*x)^2
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 5400x - 9180x - 234x + 6743x + 2262x - 1641x - 754x + 132x + 72
+--R Type: Polynomial(Integer)
+--E 126
+
+--S 127 of 500
+r0:=72*x+66*x^2-754/3*x^3-1641/4*x^4+2262/5*x^5+6743/6*x^6-234/7*x^7-_
+ 2295/2*x^8-600*x^9
+--R
+--R
+--R (2)
+--R 9 2295 8 234 7 6743 6 2262 5 1641 4 754 3 2
+--R - 600x - ---- x - --- x + ---- x + ---- x - ---- x - --- x + 66x
+--R 2 7 6 5 4 3
+--R +
+--R 72x
+--R Type: Polynomial(Fraction(Integer))
+--E 127
+
+--S 128 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 2295 8 234 7 6743 6 2262 5 1641 4 754 3 2
+--R - 600x - ---- x - --- x + ---- x + ---- x - ---- x - --- x + 66x
+--R 2 7 6 5 4 3
+--R +
+--R 72x
+--R Type: Polynomial(Fraction(Integer))
+--E 128
+
+--S 129 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 129
+
+--S 130 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 130
+
+)clear all
+
+--S 131 of 500
+t0:=(1-2*x)^3*(2+3*x)^2*(3+5*x)^2
+--R
+--R
+--R 7 6 5 4 3 2
+--R (1) - 1800x - 1860x + 1162x + 1473x - 228x - 395x + 12x + 36
+--R Type: Polynomial(Integer)
+--E 131
+
+--S 132 of 500
+r0:=36*x+6*x^2-395/3*x^3-57*x^4+1473/5*x^5+581/3*x^6-1860/7*x^7-225*x^8
+--R
+--R
+--R 8 1860 7 581 6 1473 5 4 395 3 2
+--R (2) - 225x - ---- x + --- x + ---- x - 57x - --- x + 6x + 36x
+--R 7 3 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 132
+
+--S 133 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 8 1860 7 581 6 1473 5 4 395 3 2
+--R (3) - 225x - ---- x + --- x + ---- x - 57x - --- x + 6x + 36x
+--R 7 3 5 3
+--R Type: Polynomial(Fraction(Integer))
+--E 133
+
+--S 134 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 134
+
+--S 135 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 135
+
+)clear all
+
+--S 136 of 500
+t0:=(1-2*x)^3*(2+3*x)*(3+5*x)^2
+--R
+--R
+--R 6 5 4 3 2
+--R (1) - 600x - 220x + 534x + 135x - 166x - 21x + 18
+--R Type: Polynomial(Integer)
+--E 136
+
+--S 137 of 500
+r0:=18*x-21/2*x^2-166/3*x^3+135/4*x^4+534/5*x^5-110/3*x^6-600/7*x^7
+--R
+--R
+--R 600 7 110 6 534 5 135 4 166 3 21 2
+--R (2) - --- x - --- x + --- x + --- x - --- x - -- x + 18x
+--R 7 3 5 4 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 137
+
+--S 138 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 600 7 110 6 534 5 135 4 166 3 21 2
+--R (3) - --- x - --- x + --- x + --- x - --- x - -- x + 18x
+--R 7 3 5 4 3 2
+--R Type: Polynomial(Fraction(Integer))
+--E 138
+
+--S 139 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 139
+
+--S 140 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 140
+
+)clear all
+
+--S 141 of 500
+t0:=(1-2*x)^3*(3+5*x)^2
+--R
+--R
+--R 5 4 3 2
+--R (1) - 200x + 60x + 138x - 47x - 24x + 9
+--R Type: Polynomial(Integer)
+--E 141
+
+--S 142 of 500
+r0:=9*x-12*x^2-47/3*x^3+69/2*x^4+12*x^5-100/3*x^6
+--R
+--R
+--R 100 6 5 69 4 47 3 2
+--R (2) - --- x + 12x + -- x - -- x - 12x + 9x
+--R 3 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 142
+
+--S 143 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 100 6 5 69 4 47 3 2
+--R (3) - --- x + 12x + -- x - -- x - 12x + 9x
+--R 3 2 3
+--R Type: Polynomial(Fraction(Integer))
+--E 143
+
+--S 144 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 144
+
+--S 145 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 145
+
+)clear all
+
+--S 146 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)
+--R
+--R
+--R 5 4 3 2
+--R - 200x + 60x + 138x - 47x - 24x + 9
+--R (1) ---------------------------------------
+--R 3x + 2
+--R Type: Fraction(Polynomial(Integer))
+--E 146
+
+--S 147 of 500
+r0:=922/243*x-1433/162*x^2+82/81*x^3+145/9*x^4-40/3*x^5+343/729*log(2+3*x)
+--R
+--R
+--R 5 4 3 2
+--R 686log(3x + 2) - 19440x + 23490x + 1476x - 12897x + 5532x
+--R (2) -------------------------------------------------------------
+--R 1458
+--R Type: Expression(Integer)
+--E 147
+
+--S 148 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 3 2
+--R 686log(3x + 2) - 19440x + 23490x + 1476x - 12897x + 5532x
+--R (3) -------------------------------------------------------------
+--R 1458
+--R Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 149
+
+--S 150 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 150
+
+)clear all
+
+--S 151 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^2
+--R
+--R
+--R 5 4 3 2
+--R - 200x + 60x + 138x - 47x - 24x + 9
+--R (1) ---------------------------------------
+--R 2
+--R 9x + 12x + 4
+--R Type: Fraction(Polynomial(Integer))
+--E 151
+
+--S 152 of 500
+r0:=2323/243*x-313/27*x^2+980/81*x^3-50/9*x^4+(-343/729)/(2+3*x)-_
+ 3724/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R (- 11172x - 7448)log(3x + 2) - 12150x + 18360x - 7713x + 4005x
+--R +
+--R 13938x - 343
+--R /
+--R 2187x + 1458
+--R Type: Expression(Integer)
+--E 152
+
+--S 153 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R (- 11172x - 7448)log(3x + 2) - 12150x + 18360x - 7713x + 4005x
+--R +
+--R 13938x - 343
+--R /
+--R 2187x + 1458
+--R Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 154
+
+--S 155 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 155
+
+)clear all
+
+--S 156 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^3
+--R
+--R
+--R 5 4 3 2
+--R - 200x + 60x + 138x - 47x - 24x + 9
+--R (1) ---------------------------------------
+--R 3 2
+--R 27x + 54x + 36x + 8
+--R Type: Fraction(Polynomial(Integer))
+--E 156
+
+--S 157 of 500
+r0:=-1546/81*x+230/27*x^2-200/81*x^3+(-343/1458)/(2+3*x)^2+3724/729/(2+3*x)+_
+ 11599/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2 5 4 3
+--R (208782x + 278376x + 92792)log(3x + 2) - 32400x + 68580x - 115812x
+--R +
+--R 2
+--R - 284256x - 88968x + 14553
+--R /
+--R 2
+--R 13122x + 17496x + 5832
+--R Type: Expression(Integer)
+--E 157
+
+--S 158 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 5 4 3
+--R (208782x + 278376x + 92792)log(3x + 2) - 32400x + 68580x - 115812x
+--R +
+--R 2
+--R - 284256x - 88968x + 14553
+--R /
+--R 2
+--R 13122x + 17496x + 5832
+--R Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 159
+
+--S 160 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 160
+
+)clear all
+
+--S 161 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^4
+--R
+--R
+--R 5 4 3 2
+--R - 200x + 60x + 138x - 47x - 24x + 9
+--R (1) ---------------------------------------
+--R 4 3 2
+--R 81x + 216x + 216x + 96x + 16
+--R Type: Fraction(Polynomial(Integer))
+--E 161
+
+--S 162 of 500
+r0:=1780/243*x-100/81*x^2+(-343/2187)/(2+3*x)^3+1862/729/(2+3*x)^2+_
+ (-11599/729)/(2+3*x)-8198/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 3 2 5
+--R (- 664038x - 1328076x - 885384x - 196752)log(3x + 2) - 72900x
+--R +
+--R 4 3 2
+--R 286740x + 767880x + 241947x - 272646x - 128359
+--R /
+--R 3 2
+--R 59049x + 118098x + 78732x + 17496
+--R Type: Expression(Integer)
+--E 162
+
+--S 163 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2 5
+--R (- 664038x - 1328076x - 885384x - 196752)log(3x + 2) - 72900x
+--R +
+--R 4 3 2
+--R 286740x + 767880x + 241947x - 272646x - 128359
+--R /
+--R 3 2
+--R 59049x + 118098x + 78732x + 17496
+--R Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 164
+
+--S 165 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 165
+
+)clear all
+
+--S 166 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^5
+--R
+--R
+--R 5 4 3 2
+--R - 200x + 60x + 138x - 47x - 24x + 9
+--R (1) ------------------------------------------
+--R 5 4 3 2
+--R 243x + 810x + 1080x + 720x + 240x + 32
+--R Type: Fraction(Polynomial(Integer))
+--E 166
+
+--S 167 of 500
+r0:=-200/243*x+(-343/2916)/(2+3*x)^4+3724/2187/(2+3*x)^3+_
+ (-11599/1458)/(2+3*x)^2+8198/729/(2+3*x)+2180/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (2118960x + 5650560x + 5650560x + 2511360x + 418560)log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 583200x - 1555200x + 1100952x + 3994758x + 2635896x + 537395
+--R /
+--R 4 3 2
+--R 708588x + 1889568x + 1889568x + 839808x + 139968
+--R Type: Expression(Integer)
+--E 167
+
+--S 168 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (2118960x + 5650560x + 5650560x + 2511360x + 418560)log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 583200x - 1555200x + 1100952x + 3994758x + 2635896x + 537395
+--R /
+--R 4 3 2
+--R 708588x + 1889568x + 1889568x + 839808x + 139968
+--R Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 169
+
+--S 170 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 170
+
+)clear all
+
+--S 171 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^6
+--R
+--R
+--R 5 4 3 2
+--R - 200x + 60x + 138x - 47x - 24x + 9
+--R (1) -----------------------------------------------------
+--R 6 5 4 3 2
+--R 729x + 2916x + 4860x + 4320x + 2160x + 576x + 64
+--R Type: Fraction(Polynomial(Integer))
+--E 171
+
+--S 172 of 500
+r0:=(-343/3645)/(2+3*x)^5+931/729/(2+3*x)^4+(-11599/2187)/(2+3*x)^3+_
+ 4099/729/(2+3*x)^2+(-2180/729)/(2+3*x)-200/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R (- 729000x - 2430000x - 3240000x - 2160000x - 720000x - 96000)
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R - 2648700x - 5403105x - 4264965x - 1579785x - 236399
+--R /
+--R 5 4 3 2
+--R 2657205x + 8857350x + 11809800x + 7873200x + 2624400x + 349920
+--R Type: Expression(Integer)
+--E 172
+
+--S 173 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R (- 729000x - 2430000x - 3240000x - 2160000x - 720000x - 96000)
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R - 2648700x - 5403105x - 4264965x - 1579785x - 236399
+--R /
+--R 5 4 3 2
+--R 2657205x + 8857350x + 11809800x + 7873200x + 2624400x + 349920
+--R Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 174
+
+--S 175 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 175
+
+)clear all
+
+--S 176 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^7
+--R
+--R
+--R 5 4 3 2
+--R - 200x + 60x + 138x - 47x - 24x + 9
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 2187x + 10206x + 20412x + 22680x + 15120x + 6048x + 1344x + 128
+--R Type: Fraction(Polynomial(Integer))
+--E 176
+
+--S 177 of 500
+r0:=(-343/4374)/(2+3*x)^6+3724/3645/(2+3*x)^5+(-11599/2916)/(2+3*x)^4+_
+ 8198/2187/(2+3*x)^3+(-1090/729)/(2+3*x)^2+200/729/(2+3*x)
+--R
+--R
+--R 200 5 910 4 6038 3 13345 2 15289 19643
+--R ---- x + ---- x + ----- x + ------ x + ------ x + --------
+--R 2187 6561 59049 236196 885735 15943230
+--R (2) --------------------------------------------------------------
+--R 6 5 20 4 160 3 80 2 64 64
+--R x + 4x + -- x + --- x + -- x + -- x + ---
+--R 3 27 27 81 729
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 177
+
+--S 178 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 2916000x + 4422600x + 3260520x + 1801575x + 550404x + 39286
+--R /
+--R 6 5 4 3 2
+--R 31886460x + 127545840x + 212576400x + 188956800x + 94478400x
+--R +
+--R 25194240x + 2799360
+--R Type: Union(Expression(Integer),...)
+--E 178
+
+--S 179 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 179
+
+--S 180 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 180
+
+)clear all
+
+--S 181 of 500
+t0:=(1-2*x)^3*(3+5*x)^2/(2+3*x)^8
+--R
+--R
+--R (1)
+--R 5 4 3 2
+--R - 200x + 60x + 138x - 47x - 24x + 9
+--R /
+--R 8 7 6 5 4 3 2
+--R 6561x + 34992x + 81648x + 108864x + 90720x + 48384x + 16128x
+--R +
+--R 3072x + 256
+--R Type: Fraction(Polynomial(Integer))
+--E 181
+
+--S 182 of 500
+r0:=(-49/729)/(2+3*x)^7+1862/2187/(2+3*x)^6+(-11599/3645)/(2+3*x)^5+_
+ 4099/1458/(2+3*x)^4+(-2180/2187)/(2+3*x)^3+100/729/(2+3*x)^2
+--R
+--R
+--R 100 5 820 4 1417 3 2686 2 10232 1763
+--R ---- x + ----- x + ------ x + ------ x + ------- x - --------
+--R 6561 59049 354294 885735 7971615 23914845
+--R (2) -----------------------------------------------------------------
+--R 7 14 6 28 5 280 4 560 3 224 2 448 128
+--R x + -- x + -- x + --- x + --- x + --- x + --- x + ----
+--R 3 3 27 81 81 729 2187
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 182
+
+--S 183 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 729000x + 664200x + 191295x + 145044x + 61392x - 3526
+--R /
+--R 7 6 5 4 3
+--R 47829690x + 223205220x + 446410440x + 496011600x + 330674400x
+--R +
+--R 2
+--R 132269760x + 29393280x + 2799360
+--R Type: Union(Expression(Integer),...)
+--E 183
+
+--S 184 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 184
+
+--S 185 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 185
+
+)clear all
+
+--S 186 of 500
+t0:=(1-2*x)^3*(2+3*x)^7*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 13 12 11 10 9
+--R - 2187000x - 10862100x - 21571110x - 19532907x - 2909493x
+--R +
+--R 8 7 6 5 4 3
+--R 10078533x + 8511675x + 1241998x - 1794084x - 1022472x - 82928x
+--R +
+--R 2
+--R 93600x + 32832x + 3456
+--R Type: Polynomial(Integer)
+--E 186
+
+--S 187 of 500
+r0:=3456*x+16416*x^2+31200*x^3-20732*x^4-1022472/5*x^5-299014*x^6+_
+ 1241998/7*x^7+8511675/8*x^8+1119837*x^9-2909493/10*x^10-_
+ 19532907/11*x^11-3595185/2*x^12-10862100/13*x^13-1093500/7*x^14
+--R
+--R
+--R (2)
+--R 1093500 14 10862100 13 3595185 12 19532907 11 2909493 10
+--R - ------- x - -------- x - ------- x - -------- x - ------- x
+--R 7 13 2 11 10
+--R +
+--R 9 8511675 8 1241998 7 6 1022472 5 4
+--R 1119837x + ------- x + ------- x - 299014x - ------- x - 20732x
+--R 8 7 5
+--R +
+--R 3 2
+--R 31200x + 16416x + 3456x
+--R Type: Polynomial(Fraction(Integer))
+--E 187
+
+--S 188 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 1093500 14 10862100 13 3595185 12 19532907 11 2909493 10
+--R - ------- x - -------- x - ------- x - -------- x - ------- x
+--R 7 13 2 11 10
+--R +
+--R 9 8511675 8 1241998 7 6 1022472 5 4
+--R 1119837x + ------- x + ------- x - 299014x - ------- x - 20732x
+--R 8 7 5
+--R +
+--R 3 2
+--R 31200x + 16416x + 3456x
+--R Type: Polynomial(Fraction(Integer))
+--E 188
+
+--S 189 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 189
+
+--S 190 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 190
+
+)clear all
+
+--S 191 of 500
+t0:=(1-2*x)^3*(2+3*x)^6*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 12 11 10 9 8 7
+--R - 729000x - 3134700x - 5100570x - 3110589x + 1103895x + 2623581x
+--R +
+--R 6 5 4 3 2
+--R 1088171x - 311448x - 390396x - 80560x + 26064x + 13824x + 1728
+--R Type: Polynomial(Integer)
+--E 191
+
+--S 192 of 500
+r0:=1728*x+6912*x^2+8688*x^3-20140*x^4-390396/5*x^5-51908*x^6+_
+ 155453*x^7+2623581/8*x^8+122655*x^9-3110589/10*x^10-5100570/11*x^11-_
+ 261225*x^12-729000/13*x^13
+--R
+--R
+--R (2)
+--R 729000 13 12 5100570 11 3110589 10 9
+--R - ------ x - 261225x - ------- x - ------- x + 122655x
+--R 13 11 10
+--R +
+--R 2623581 8 7 6 390396 5 4 3 2
+--R ------- x + 155453x - 51908x - ------ x - 20140x + 8688x + 6912x
+--R 8 5
+--R +
+--R 1728x
+--R Type: Polynomial(Fraction(Integer))
+--E 192
+
+--S 193 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 729000 13 12 5100570 11 3110589 10 9
+--R - ------ x - 261225x - ------- x - ------- x + 122655x
+--R 13 11 10
+--R +
+--R 2623581 8 7 6 390396 5 4 3 2
+--R ------- x + 155453x - 51908x - ------ x - 20140x + 8688x + 6912x
+--R 8 5
+--R +
+--R 1728x
+--R Type: Polynomial(Fraction(Integer))
+--E 193
+
+--S 194 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 194
+
+--S 195 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 195
+
+)clear all
+
+--S 196 of 500
+t0:=(1-2*x)^3*(2+3*x)^5*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 11 10 9 8 7 6
+--R - 243000x - 882900x - 1111590x - 295803x + 565167x + 497749x
+--R +
+--R 5 4 3 2
+--R 30891x - 124410x - 47192x + 4608x + 5616x + 864
+--R Type: Polynomial(Integer)
+--E 196
+
+--S 197 of 500
+r0:=864*x+2808*x^2+1536*x^3-11798*x^4-24882*x^5+10297/2*x^6+_
+ 71107*x^7+565167/8*x^8-32867*x^9-111159*x^10-882900/11*x^11-20250*x^12
+--R
+--R
+--R (2)
+--R 12 882900 11 10 9 565167 8 7
+--R - 20250x - ------ x - 111159x - 32867x + ------ x + 71107x
+--R 11 8
+--R +
+--R 10297 6 5 4 3 2
+--R ----- x - 24882x - 11798x + 1536x + 2808x + 864x
+--R 2
+--R Type: Polynomial(Fraction(Integer))
+--E 197
+
+--S 198 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 12 882900 11 10 9 565167 8 7
+--R - 20250x - ------ x - 111159x - 32867x + ------ x + 71107x
+--R 11 8
+--R +
+--R 10297 6 5 4 3 2
+--R ----- x - 24882x - 11798x + 1536x + 2808x + 864x
+--R 2
+--R Type: Polynomial(Fraction(Integer))
+--E 198
+
+--S 199 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 199
+
+--S 200 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 200
+
+)clear all
+
+--S 201 of 500
+t0:=(1-2*x)^3*(2+3*x)^4*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5 4
+--R - 81000x - 240300x - 210330x + 41619x + 160643x + 58821x - 28917x
+--R +
+--R 3 2
+--R - 22192x - 936x + 2160x + 432
+--R Type: Polynomial(Integer)
+--E 201
+
+--S 202 of 500
+r0:=432*x+1080*x^2-312*x^3-5548*x^4-28917/5*x^5+19607/2*x^6+22949*x^7+_
+ 41619/8*x^8-23370*x^9-24030*x^10-81000/11*x^11
+--R
+--R
+--R (2)
+--R 81000 11 10 9 41619 8 7 19607 6 28917 5
+--R - ----- x - 24030x - 23370x + ----- x + 22949x + ----- x - ----- x
+--R 11 8 2 5
+--R +
+--R 4 3 2
+--R - 5548x - 312x + 1080x + 432x
+--R Type: Polynomial(Fraction(Integer))
+--E 202
+
+--S 203 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 81000 11 10 9 41619 8 7 19607 6 28917 5
+--R - ----- x - 24030x - 23370x + ----- x + 22949x + ----- x - ----- x
+--R 11 8 2 5
+--R +
+--R 4 3 2
+--R - 5548x - 312x + 1080x + 432x
+--R Type: Polynomial(Fraction(Integer))
+--E 203
+
+--S 204 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 204
+
+--S 205 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 205
+
+)clear all
+
+--S 206 of 500
+t0:=(1-2*x)^3*(2+3*x)^3*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3
+--R - 27000x - 62100x - 28710x + 33013x + 31539x - 1419x - 8693x
+--R +
+--R 2
+--R - 1602x + 756x + 216
+--R Type: Polynomial(Integer)
+--E 206
+
+--S 207 of 500
+r0:=216*x+378*x^2-534*x^3-8693/4*x^4-1419/5*x^5+10513/2*x^6+33013/7*x^7-_
+ 14355/4*x^8-6900*x^9-2700*x^10
+--R
+--R
+--R (2)
+--R 10 9 14355 8 33013 7 10513 6 1419 5 8693 4
+--R - 2700x - 6900x - ----- x + ----- x + ----- x - ---- x - ---- x
+--R 4 7 2 5 4
+--R +
+--R 3 2
+--R - 534x + 378x + 216x
+--R Type: Polynomial(Fraction(Integer))
+--E 207
+
+--S 208 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 14355 8 33013 7 10513 6 1419 5 8693 4
+--R - 2700x - 6900x - ----- x + ----- x + ----- x - ---- x - ---- x
+--R 4 7 2 5 4
+--R +
+--R 3 2
+--R - 534x + 378x + 216x
+--R Type: Polynomial(Fraction(Integer))
+--E 208
+
+--S 209 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 209
+
+--S 210 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 210
+
+)clear all
+
+--S 211 of 500
+t0:=(1-2*x)^3*(2+3*x)^2*(3+5*x)^3
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 9000x - 14700x + 230x + 10851x + 3279x - 2659x - 1125x + 216x + 108
+--R Type: Polynomial(Integer)
+--E 211
+
+--S 212 of 500
+r0:=108*x+108*x^2-375*x^3-2659/4*x^4+3279/5*x^5+3617/2*x^6+230/7*x^7-_
+ 3675/2*x^8-1000*x^9
+--R
+--R
+--R (2)
+--R 9 3675 8 230 7 3617 6 3279 5 2659 4 3 2
+--R - 1000x - ---- x + --- x + ---- x + ---- x - ---- x - 375x + 108x
+--R 2 7 2 5 4
+--R +
+--R 108x
+--R Type: Polynomial(Fraction(Integer))
+--E 212
+
+--S 213 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 3675 8 230 7 3617 6 3279 5 2659 4 3 2
+--R - 1000x - ---- x + --- x + ---- x + ---- x - ---- x - 375x + 108x
+--R 2 7 2 5 4
+--R +
+--R 108x
+--R Type: Polynomial(Fraction(Integer))
+--E 213
+
+--S 214 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 214
+
+--S 215 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 215
+
+)clear all
+
+--S 216 of 500
+t0:=(1-2*x)^3*(2+3*x)*(3+5*x)^3
+--R
+--R
+--R 7 6 5 4 3 2
+--R (1) - 3000x - 2900x + 2010x + 2277x - 425x - 603x + 27x + 54
+--R Type: Polynomial(Integer)
+--E 216
+
+--S 217 of 500
+r0:=54*x+27/2*x^2-201*x^3-425/4*x^4+2277/5*x^5+335*x^6-2900/7*x^7-375*x^8
+--R
+--R
+--R 8 2900 7 6 2277 5 425 4 3 27 2
+--R (2) - 375x - ---- x + 335x + ---- x - --- x - 201x + -- x + 54x
+--R 7 5 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 217
+
+--S 218 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 8 2900 7 6 2277 5 425 4 3 27 2
+--R (3) - 375x - ---- x + 335x + ---- x - --- x - 201x + -- x + 54x
+--R 7 5 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 218
+
+--S 219 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 219
+
+--S 220 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 220
+
+)clear all
+
+--S 221 of 500
+t0:=(1-2*x)^3*(3+5*x)^3
+--R
+--R
+--R 6 5 4 3 2
+--R (1) - 1000x - 300x + 870x + 179x - 261x - 27x + 27
+--R Type: Polynomial(Integer)
+--E 221
+
+--S 222 of 500
+r0:=27*x-27/2*x^2-87*x^3+179/4*x^4+174*x^5-50*x^6-1000/7*x^7
+--R
+--R
+--R 1000 7 6 5 179 4 3 27 2
+--R (2) - ---- x - 50x + 174x + --- x - 87x - -- x + 27x
+--R 7 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 222
+
+--S 223 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 1000 7 6 5 179 4 3 27 2
+--R (3) - ---- x - 50x + 174x + --- x - 87x - -- x + 27x
+--R 7 4 2
+--R Type: Polynomial(Fraction(Integer))
+--E 223
+
+--S 224 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 224
+
+--S 225 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Polynomial(Fraction(Integer))
+--E 225
+
+)clear all
+
+--S 226 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)
+--R
+--R
+--R 6 5 4 3 2
+--R - 1000x - 300x + 870x + 179x - 261x - 27x + 27
+--R (1) ---------------------------------------------------
+--R 3x + 2
+--R Type: Fraction(Polynomial(Integer))
+--E 226
+
+--S 227 of 500
+r0:=10013/729*x-8287/486*x^2-6427/243*x^3+2815/54*x^4+220/9*x^5-500/9*x^6-_
+ 343/2187*log(2+3*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3 2
+--R - 686log(3x + 2) - 243000x + 106920x + 228015x - 115686x - 74583x
+--R +
+--R 60078x
+--R /
+--R 4374
+--R Type: Expression(Integer)
+--E 227
+
+--S 228 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3 2
+--R - 686log(3x + 2) - 243000x + 106920x + 228015x - 115686x - 74583x
+--R +
+--R 60078x
+--R /
+--R 4374
+--R Type: Union(Expression(Integer),...)
+--E 228
+
+--S 229 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 229
+
+--S 230 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 230
+
+)clear all
+
+--S 231 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^2
+--R
+--R
+--R 6 5 4 3 2
+--R - 1000x - 300x + 870x + 179x - 261x - 27x + 27
+--R (1) ---------------------------------------------------
+--R 2
+--R 9x + 12x + 4
+--R Type: Fraction(Polynomial(Integer))
+--E 231
+
+--S 232 of 500
+r0:=2287/729*x-5287/486*x^2-190/81*x^3+775/27*x^4-200/9*x^5+343/2187/(2+3*x)+_
+ 1813/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R (32634x + 21756)log(3x + 2) - 291600x + 182250x + 220320x - 163269x
+--R +
+--R 2
+--R - 54000x + 27444x + 686
+--R /
+--R 13122x + 8748
+--R Type: Expression(Integer)
+--E 232
+
+--S 233 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R (32634x + 21756)log(3x + 2) - 291600x + 182250x + 220320x - 163269x
+--R +
+--R 2
+--R - 54000x + 27444x + 686
+--R /
+--R 13122x + 8748
+--R Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 234
+
+--S 235 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 235
+
+)clear all
+
+--S 236 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^3
+--R
+--R
+--R 6 5 4 3 2
+--R - 1000x - 300x + 870x + 179x - 261x - 27x + 27
+--R (1) ---------------------------------------------------
+--R 3 2
+--R 27x + 54x + 36x + 8
+--R Type: Fraction(Polynomial(Integer))
+--E 236
+
+--S 237 of 500
+r0:=16253/729*x-1795/81*x^2+1700/81*x^3-250/27*x^4+343/4374/(2+3*x)^2+_
+ (-1813/729)/(2+3*x)-10073/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2 6 5
+--R (- 543942x - 725256x - 241752)log(3x + 2) - 364500x + 340200x
+--R +
+--R 4 3 2
+--R 67230x + 81702x + 782496x + 357438x - 21413
+--R /
+--R 2
+--R 39366x + 52488x + 17496
+--R Type: Expression(Integer)
+--E 237
+
+--S 238 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 6 5
+--R (- 543942x - 725256x - 241752)log(3x + 2) - 364500x + 340200x
+--R +
+--R 4 3 2
+--R 67230x + 81702x + 782496x + 357438x - 21413
+--R /
+--R 2
+--R 39366x + 52488x + 17496
+--R Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 239
+
+--S 240 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 240
+
+)clear all
+
+--S 241 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^4
+--R
+--R
+--R 6 5 4 3 2
+--R - 1000x - 300x + 870x + 179x - 261x - 27x + 27
+--R (1) ---------------------------------------------------
+--R 4 3 2
+--R 81x + 216x + 216x + 96x + 16
+--R Type: Fraction(Polynomial(Integer))
+--E 241
+
+--S 242 of 500
+r0:=-24970/729*x+3550/243*x^2-1000/243*x^3+343/6561/(2+3*x)^3+_
+ (-1813/1458)/(2+3*x)^2+10073/729/(2+3*x)+66193/2187*log(2+3*x)
+--R
+--R
+--R (2)
+--R 3 2 6
+--R (10723266x + 21446532x + 14297688x + 3177264)log(3x + 2) - 1458000x
+--R +
+--R 5 4 3 2
+--R 2259900x - 3727620x - 17801640x - 13015134x - 1468863x + 693308
+--R /
+--R 3 2
+--R 354294x + 708588x + 472392x + 104976
+--R Type: Expression(Integer)
+--E 242
+
+--S 243 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2 6
+--R (10723266x + 21446532x + 14297688x + 3177264)log(3x + 2) - 1458000x
+--R +
+--R 5 4 3 2
+--R 2259900x - 3727620x - 17801640x - 13015134x - 1468863x + 693308
+--R /
+--R 3 2
+--R 354294x + 708588x + 472392x + 104976
+--R Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 244
+
+--S 245 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 245
+
+)clear all
+
+--S 246 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^5
+--R
+--R
+--R 6 5 4 3 2
+--R - 1000x - 300x + 870x + 179x - 261x - 27x + 27
+--R (1) ---------------------------------------------------
+--R 5 4 3 2
+--R 243x + 810x + 1080x + 720x + 240x + 32
+--R Type: Fraction(Polynomial(Integer))
+--E 246
+
+--S 247 of 500
+r0:=9100/729*x-500/243*x^2+343/8748/(2+3*x)^4+(-1813/2187)/(2+3*x)^3+_
+ 10073/1458/(2+3*x)^2+(-66193/2187)/(2+3*x)-14390/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (- 4662360x - 12432960x - 12432960x - 5525760x - 920960)log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 486000x + 1652400x + 6566400x + 4903452x - 1186182x - 2360364x
+--R +
+--R - 630195
+--R /
+--R 4 3 2
+--R 236196x + 629856x + 629856x + 279936x + 46656
+--R Type: Expression(Integer)
+--E 247
+
+--S 248 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (- 4662360x - 12432960x - 12432960x - 5525760x - 920960)log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 486000x + 1652400x + 6566400x + 4903452x - 1186182x - 2360364x
+--R +
+--R - 630195
+--R /
+--R 4 3 2
+--R 236196x + 629856x + 629856x + 279936x + 46656
+--R Type: Union(Expression(Integer),...)
+--E 248
+
+--S 249 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 249
+
+--S 250 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 250
+
+)clear all
+
+--S 251 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^6
+--R
+--R
+--R 6 5 4 3 2
+--R - 1000x - 300x + 870x + 179x - 261x - 27x + 27
+--R (1) -----------------------------------------------------
+--R 6 5 4 3 2
+--R 729x + 2916x + 4860x + 4320x + 2160x + 576x + 64
+--R Type: Fraction(Polynomial(Integer))
+--E 251
+
+--S 252 of 500
+r0:=-1000/729*x+343/10935/(2+3*x)^5+(-1813/2916)/(2+3*x)^4+_
+ 10073/2187/(2+3*x)^3+(-66193/4374)/(2+3*x)^2+14390/729/(2+3*x)+_
+ 3700/729*log(2+3*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R 17982000x + 59940000x + 79920000x + 53280000x + 17760000x
+--R +
+--R 2368000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 4860000x - 16200000x + 1711800x + 41807430x + 46054440x
+--R +
+--R 19824285x + 3090594
+--R /
+--R 5 4 3 2
+--R 3542940x + 11809800x + 15746400x + 10497600x + 3499200x + 466560
+--R Type: Expression(Integer)
+--E 252
+
+--S 253 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 17982000x + 59940000x + 79920000x + 53280000x + 17760000x
+--R +
+--R 2368000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 4860000x - 16200000x + 1711800x + 41807430x + 46054440x
+--R +
+--R 19824285x + 3090594
+--R /
+--R 5 4 3 2
+--R 3542940x + 11809800x + 15746400x + 10497600x + 3499200x + 466560
+--R Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 254
+
+--S 255 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 255
+
+)clear all
+
+--S 256 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^7
+--R
+--R
+--R 6 5 4 3 2
+--R - 1000x - 300x + 870x + 179x - 261x - 27x + 27
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 2187x + 10206x + 20412x + 22680x + 15120x + 6048x + 1344x + 128
+--R Type: Fraction(Polynomial(Integer))
+--E 256
+
+--S 257 of 500
+r0:=343/13122/(2+3*x)^6+(-1813/3645)/(2+3*x)^5+10073/2916/(2+3*x)^4+_
+ (-66193/6561)/(2+3*x)^3+7195/729/(2+3*x)^2+(-3700/729)/(2+3*x)-_
+ 1000/2187*log(2+3*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3 2
+--R - 14580000x - 58320000x - 97200000x - 86400000x - 43200000x
+--R +
+--R - 11520000x - 1280000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 53946000x - 144852300x - 158427540x - 89062425x - 25975248x - 3165082
+--R /
+--R 6 5 4 3 2
+--R 31886460x + 127545840x + 212576400x + 188956800x + 94478400x
+--R +
+--R 25194240x + 2799360
+--R Type: Expression(Integer)
+--E 257
+
+--S 258 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3 2
+--R - 14580000x - 58320000x - 97200000x - 86400000x - 43200000x
+--R +
+--R - 11520000x - 1280000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 53946000x - 144852300x - 158427540x - 89062425x - 25975248x - 3165082
+--R /
+--R 6 5 4 3 2
+--R 31886460x + 127545840x + 212576400x + 188956800x + 94478400x
+--R +
+--R 25194240x + 2799360
+--R Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 259
+
+--S 260 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 260
+
+)clear all
+
+--S 261 of 500
+t0:=(1-2*x)^3*(3+5*x)^3/(2+3*x)^8
+--R
+--R
+--R (1)
+--R 6 5 4 3 2
+--R - 1000x - 300x + 870x + 179x - 261x - 27x + 27
+--R /
+--R 8 7 6 5 4 3 2
+--R 6561x + 34992x + 81648x + 108864x + 90720x + 48384x + 16128x
+--R +
+--R 3072x + 256
+--R Type: Fraction(Polynomial(Integer))
+--E 261
+
+--S 262 of 500
+r0:=49/2187/(2+3*x)^7+(-1813/4374)/(2+3*x)^6+10073/3645/(2+3*x)^5+_
+ (-66193/8748)/(2+3*x)^4+14390/2187/(2+3*x)^3+(-1850/729)/(2+3*x)^2+_
+ 1000/2187/(2+3*x)
+--R
+--R
+--R (2)
+--R 1000 6 2150 5 18890 4 146287 3 160381 2 331697 33326
+--R ---- x + ---- x + ----- x + ------ x + ------- x + -------- x + --------
+--R 6561 6561 59049 708588 1771470 15943230 23914845
+--R -----------------------------------------------------------------------------
+--R 7 14 6 28 5 280 4 560 3 224 2 448 128
+--R x + -- x + -- x + --- x + --- x + --- x + --- x + ----
+--R 3 3 27 81 81 729 2187
+--R Type: Fraction(Polynomial(Fraction(Integer)))
+--E 262
+
+--S 263 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3 2
+--R 14580000x + 31347000x + 30601800x + 19748745x + 8660574x + 1990182x
+--R +
+--R 133304
+--R /
+--R 7 6 5 4 3
+--R 95659380x + 446410440x + 892820880x + 992023200x + 661348800x
+--R +
+--R 2
+--R 264539520x + 58786560x + 5598720
+--R Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 264
+
+--S 265 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 265
+
+)clear all
+
+--S 266 of 500
+t0:=(1-2*x)^3*(2+3*x)^6/(3+5*x)
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3 2
+--R - 5832x - 14580x - 8262x + 6993x + 8316x + 252x - 2240x - 528x
+--R +
+--R 192x + 64
+--R /
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 266
+
+--S 267 of 500
+r0:=41666223/1953125*x+11111259/781250*x^2-17453753/234375*x^3-_
+ 5848749/62500*x^4+2212083/15625*x^5+331713/1250*x^6-40338/875*x^7-_
+ 13851/50*x^8-648/5*x^9+1331/9765625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 9 8 7
+--R 111804log(5x + 3) - 106312500000x - 227242968750x - 37816875000x
+--R +
+--R 6 5 4 3
+--R 217686656250x + 116134357500x - 76764830625x - 61088135500x
+--R +
+--R 2
+--R 11666821950x + 17499813660x
+--R /
+--R 820312500
+--R Type: Expression(Integer)
+--E 267
+
+--S 268 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8 7
+--R 111804log(5x + 3) - 106312500000x - 227242968750x - 37816875000x
+--R +
+--R 6 5 4 3
+--R 217686656250x + 116134357500x - 76764830625x - 61088135500x
+--R +
+--R 2
+--R 11666821950x + 17499813660x
+--R /
+--R 820312500
+--R Type: Union(Expression(Integer),...)
+--E 268
+
+--S 269 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 269
+
+--S 270 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 270
+
+)clear all
+
+--S 271 of 500
+t0:=(1-2*x)^3*(2+3*x)^5/(3+5*x)
+--R
+--R
+--R 8 7 6 5 4 3 2
+--R - 1944x - 3564x - 378x + 2583x + 1050x - 616x - 336x + 48x + 32
+--R (1) ----------------------------------------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 271
+
+--S 272 of 500
+r0:=4166223/390625*x-138741/156250*x^2-1703753/46875*x^3-73749/12500*x^4+_
+ 243333/3125*x^5+4419/125*x^6-11988/175*x^7-243/5*x^8+_
+ 1331/1953125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R 111804log(5x + 3) - 7973437500x - 11238750000x + 5799937500x
+--R +
+--R 5 4 3 2
+--R 12774982500x - 967955625x - 5963135500x - 145678050x + 1749813660x
+--R /
+--R 164062500
+--R Type: Expression(Integer)
+--E 272
+
+--S 273 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R 111804log(5x + 3) - 7973437500x - 11238750000x + 5799937500x
+--R +
+--R 5 4 3 2
+--R 12774982500x - 967955625x - 5963135500x - 145678050x + 1749813660x
+--R /
+--R 164062500
+--R Type: Union(Expression(Integer),...)
+--E 273
+
+--S 274 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 274
+
+--S 275 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 275
+
+)clear all
+
+--S 276 of 500
+t0:=(1-2*x)^3*(2+3*x)^4/(3+5*x)
+--R
+--R
+--R 7 6 5 4 3 2
+--R - 648x - 756x + 378x + 609x - 56x - 168x + 16
+--R (1) ---------------------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 276
+
+--S 277 of 500
+r0:=416223/78125*x-138741/31250*x^2-128753/9375*x^3+31251/2500*x^4+_
+ 14958/625*x^5-306/25*x^6-648/35*x^7+1331/390625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5 4
+--R 111804log(5x + 3) - 607500000x - 401625000x + 785295000x + 410169375x
+--R +
+--R 3 2
+--R - 450635500x - 145678050x + 174813660x
+--R /
+--R 32812500
+--R Type: Expression(Integer)
+--E 277
+
+--S 278 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R 111804log(5x + 3) - 607500000x - 401625000x + 785295000x + 410169375x
+--R +
+--R 3 2
+--R - 450635500x - 145678050x + 174813660x
+--R /
+--R 32812500
+--R Type: Union(Expression(Integer),...)
+--E 278
+
+--S 279 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 279
+
+--S 280 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 280
+
+)clear all
+
+--S 281 of 500
+t0:=(1-2*x)^3*(2+3*x)^3/(3+5*x)
+--R
+--R
+--R 6 5 4 3 2
+--R - 216x - 108x + 198x + 71x - 66x - 12x + 8
+--R (1) -----------------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 281
+
+--S 282 of 500
+r0:=41223/15625*x-26241/6250*x^2-5003/1875*x^3+2313/250*x^4+_
+ 108/125*x^5-36/5*x^6+1331/78125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 7986log(5x + 3) - 3375000x + 405000x + 4336875x - 1250750x
+--R +
+--R 2
+--R - 1968075x + 1236690x
+--R /
+--R 468750
+--R Type: Expression(Integer)
+--E 282
+
+--S 283 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 7986log(5x + 3) - 3375000x + 405000x + 4336875x - 1250750x
+--R +
+--R 2
+--R - 1968075x + 1236690x
+--R /
+--R 468750
+--R Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 284
+
+--S 285 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 285
+
+)clear all
+
+--S 286 of 500
+t0:=(1-2*x)^3*(2+3*x)^2/(3+5*x)
+--R
+--R
+--R 5 4 3 2
+--R - 72x + 12x + 58x - 15x - 12x + 4
+--R (1) -------------------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 286
+
+--S 287 of 500
+r0:=3723/3125*x-3741/1250*x^2+622/375*x^3+69/25*x^4-72/25*x^5+_
+ 1331/15625*log(3+5*x)
+--R
+--R
+--R 5 4 3 2
+--R 7986log(5x + 3) - 270000x + 258750x + 155500x - 280575x + 111690x
+--R (2) ---------------------------------------------------------------------
+--R 93750
+--R Type: Expression(Integer)
+--E 287
+
+--S 288 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 3 2
+--R 7986log(5x + 3) - 270000x + 258750x + 155500x - 280575x + 111690x
+--R (3) ---------------------------------------------------------------------
+--R 93750
+--R Type: Union(Expression(Integer),...)
+--E 288
+
+--S 289 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 289
+
+--S 290 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 290
+
+)clear all
+
+--S 291 of 500
+t0:=(1-2*x)^3*(2+3*x)/(3+5*x)
+--R
+--R
+--R 4 3 2
+--R - 24x + 20x + 6x - 9x + 2
+--R (1) ----------------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 291
+
+--S 292 of 500
+r0:=-27/625*x-183/125*x^2+172/75*x^3-6/5*x^4+1331/3125*log(3+5*x)
+--R
+--R
+--R 4 3 2
+--R 3993log(5x + 3) - 11250x + 21500x - 13725x - 405x
+--R (2) ----------------------------------------------------
+--R 9375
+--R Type: Expression(Integer)
+--E 292
+
+--S 293 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R 3993log(5x + 3) - 11250x + 21500x - 13725x - 405x
+--R (3) ----------------------------------------------------
+--R 9375
+--R Type: Union(Expression(Integer),...)
+--E 293
+
+--S 294 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 294
+
+--S 295 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 295
+
+)clear all
+
+--S 296 of 500
+t0:=(1-2*x)^3/(3+5*x)
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ---------------------
+--R 5x + 3
+--R Type: Fraction(Polynomial(Integer))
+--E 296
+
+--S 297 of 500
+r0:=-402/125*x+42/25*x^2-8/15*x^3+1331/625*log(3+5*x)
+--R
+--R
+--R 3 2
+--R 3993log(5x + 3) - 1000x + 3150x - 6030x
+--R (2) -----------------------------------------
+--R 1875
+--R Type: Expression(Integer)
+--E 297
+
+--S 298 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R 3993log(5x + 3) - 1000x + 3150x - 6030x
+--R (3) -----------------------------------------
+--R 1875
+--R Type: Union(Expression(Integer),...)
+--E 298
+
+--S 299 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 299
+
+--S 300 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 300
+
+)clear all
+
+--S 301 of 500
+t0:=(1-2*x)^3/((2+3*x)*(3+5*x))
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ---------------------
+--R 2
+--R 15x + 19x + 6
+--R Type: Fraction(Polynomial(Integer))
+--E 301
+
+--S 302 of 500
+r0:=332/225*x-4/15*x^2-343/27*log(2+3*x)+1331/125*log(3+5*x)
+--R
+--R
+--R 2
+--R 35937log(5x + 3) - 42875log(3x + 2) - 900x + 4980x
+--R (2) ---------------------------------------------------
+--R 3375
+--R Type: Expression(Integer)
+--E 302
+
+--S 303 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R 35937log(5x + 3) - 42875log(3x + 2) - 900x + 4980x
+--R (3) ---------------------------------------------------
+--R 3375
+--R Type: Union(Expression(Integer),...)
+--E 303
+
+--S 304 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 304
+
+--S 305 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 305
+
+)clear all
+
+--S 306 of 500
+t0:=(1-2*x)^3/((2+3*x)^2*(3+5*x))
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ----------------------
+--R 3 2
+--R 45x + 87x + 56x + 12
+--R Type: Fraction(Polynomial(Integer))
+--E 306
+
+--S 307 of 500
+r0:=-8/45*x+343/27/(2+3*x)-1421/27*log(2+3*x)+1331/25*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (107811x + 71874)log(5x + 3) + (- 106575x - 71050)log(3x + 2) - 360x
+--R +
+--R - 240x + 8575
+--R /
+--R 2025x + 1350
+--R Type: Expression(Integer)
+--E 307
+
+--S 308 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (107811x + 71874)log(5x + 3) + (- 106575x - 71050)log(3x + 2) - 360x
+--R +
+--R - 240x + 8575
+--R /
+--R 2025x + 1350
+--R Type: Union(Expression(Integer),...)
+--E 308
+
+--S 309 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 309
+
+--S 310 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 310
+
+)clear all
+
+--S 311 of 500
+t0:=(1-2*x)^3/((2+3*x)^3*(3+5*x))
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ---------------------------------
+--R 4 3 2
+--R 135x + 351x + 342x + 148x + 24
+--R Type: Fraction(Polynomial(Integer))
+--E 311
+
+--S 312 of 500
+r0:=343/54/(2+3*x)^2+1421/27/(2+3*x)-7189/27*log(2+3*x)+1331/5*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (646866x + 862488x + 287496)log(5x + 3)
+--R +
+--R 2
+--R (- 647010x - 862680x - 287560)log(3x + 2) + 42630x + 30135
+--R /
+--R 2
+--R 2430x + 3240x + 1080
+--R Type: Expression(Integer)
+--E 312
+
+--S 313 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (646866x + 862488x + 287496)log(5x + 3)
+--R +
+--R 2
+--R (- 647010x - 862680x - 287560)log(3x + 2) + 42630x + 30135
+--R /
+--R 2
+--R 2430x + 3240x + 1080
+--R Type: Union(Expression(Integer),...)
+--E 313
+
+--S 314 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 314
+
+--S 315 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 315
+
+)clear all
+
+--S 316 of 500
+t0:=(1-2*x)^3/((2+3*x)^4*(3+5*x))
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) --------------------------------------------
+--R 5 4 3 2
+--R 405x + 1323x + 1728x + 1128x + 368x + 48
+--R Type: Fraction(Polynomial(Integer))
+--E 316
+
+--S 317 of 500
+r0:=343/81/(2+3*x)^3+1421/54/(2+3*x)^2+7189/27/(2+3*x)-1331*log(2+3*x)+_
+ 1331*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (5821794x + 11643588x + 7762392x + 1724976)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 5821794x - 11643588x - 7762392x - 1724976)log(3x + 2) + 388206x
+--R +
+--R 530397x + 181748
+--R /
+--R 3 2
+--R 4374x + 8748x + 5832x + 1296
+--R Type: Expression(Integer)
+--E 317
+
+--S 318 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (5821794x + 11643588x + 7762392x + 1724976)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 5821794x - 11643588x - 7762392x - 1724976)log(3x + 2) + 388206x
+--R +
+--R 530397x + 181748
+--R /
+--R 3 2
+--R 4374x + 8748x + 5832x + 1296
+--R Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 319
+
+--S 320 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 320
+
+)clear all
+
+--S 321 of 500
+t0:=(1-2*x)^3/((2+3*x)^5*(3+5*x))
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ------------------------------------------------------
+--R 6 5 4 3 2
+--R 1215x + 4779x + 7830x + 6840x + 3360x + 880x + 96
+--R Type: Fraction(Polynomial(Integer))
+--E 321
+
+--S 322 of 500
+r0:=343/108/(2+3*x)^4+1421/81/(2+3*x)^3+7189/54/(2+3*x)^2+1331/(2+3*x)-_
+ 6655*log(2+3*x)+6655*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (174653820x + 465743520x + 465743520x + 206997120x + 34499520)
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 174653820x - 465743520x - 465743520x - 206997120x - 34499520)
+--R *
+--R log(3x + 2)
+--R +
+--R 3 2
+--R 11643588x + 23675382x + 16059444x + 3634885
+--R /
+--R 4 3 2
+--R 26244x + 69984x + 69984x + 31104x + 5184
+--R Type: Expression(Integer)
+--E 322
+
+--S 323 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (174653820x + 465743520x + 465743520x + 206997120x + 34499520)
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 174653820x - 465743520x - 465743520x - 206997120x - 34499520)
+--R *
+--R log(3x + 2)
+--R +
+--R 3 2
+--R 11643588x + 23675382x + 16059444x + 3634885
+--R /
+--R 4 3 2
+--R 26244x + 69984x + 69984x + 31104x + 5184
+--R Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 324
+
+--S 325 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 325
+
+)clear all
+
+--S 326 of 500
+t0:=(1-2*x)^3/((2+3*x)^6*(3+5*x))
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ---------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 3645x + 16767x + 33048x + 36180x + 23760x + 9360x + 2048x + 192
+--R Type: Fraction(Polynomial(Integer))
+--E 326
+
+--S 327 of 500
+r0:=343/135/(2+3*x)^5+1421/108/(2+3*x)^4+7189/81/(2+3*x)^3+1331/2/(2+3*x)^2+_
+ 6655/(2+3*x)-33275*log(2+3*x)+33275*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R 13099036500x + 43663455000x + 58217940000x + 38811960000x
+--R +
+--R 12937320000x + 1724976000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 13099036500x - 43663455000x - 58217940000x - 38811960000x
+--R +
+--R - 12937320000x - 1724976000
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 873269100x + 2357826570x + 2388229560x + 1075586865x + 181744346
+--R /
+--R 5 4 3 2
+--R 393660x + 1312200x + 1749600x + 1166400x + 388800x + 51840
+--R Type: Expression(Integer)
+--E 327
+
+--S 328 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 13099036500x + 43663455000x + 58217940000x + 38811960000x
+--R +
+--R 12937320000x + 1724976000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 13099036500x - 43663455000x - 58217940000x - 38811960000x
+--R +
+--R - 12937320000x - 1724976000
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 873269100x + 2357826570x + 2388229560x + 1075586865x + 181744346
+--R /
+--R 5 4 3 2
+--R 393660x + 1312200x + 1749600x + 1166400x + 388800x + 51840
+--R Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 329
+
+--S 330 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 330
+
+)clear all
+
+--S 331 of 500
+t0:=(1-2*x)^3/((2+3*x)^7*(3+5*x))
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 10935x + 57591x + 132678x + 174636x + 143640x + 75600x + 24864x
+--R +
+--R 4672x + 384
+--R Type: Fraction(Polynomial(Integer))
+--E 331
+
+--S 332 of 500
+r0:=343/162/(2+3*x)^6+1421/135/(2+3*x)^5+7189/108/(2+3*x)^4+_
+ 1331/3/(2+3*x)^3+6655/2/(2+3*x)^2+33275/(2+3*x)-166375*log(2+3*x)+_
+ 166375*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 196485547500x + 785942190000x + 1309903650000x + 1164358800000x
+--R +
+--R 2
+--R 582179400000x + 155247840000x + 17249760000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 196485547500x - 785942190000x - 1309903650000x - 1164358800000x
+--R +
+--R 2
+--R - 582179400000x - 155247840000x - 17249760000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 13099036500x + 44100089550x + 59401704780x + 40016101275x
+--R +
+--R 13482032616x + 1817443594
+--R /
+--R 6 5 4 3 2
+--R 1180980x + 4723920x + 7873200x + 6998400x + 3499200x + 933120x
+--R +
+--R 103680
+--R Type: Expression(Integer)
+--E 332
+
+--S 333 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 196485547500x + 785942190000x + 1309903650000x + 1164358800000x
+--R +
+--R 2
+--R 582179400000x + 155247840000x + 17249760000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 196485547500x - 785942190000x - 1309903650000x - 1164358800000x
+--R +
+--R 2
+--R - 582179400000x - 155247840000x - 17249760000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 13099036500x + 44100089550x + 59401704780x + 40016101275x
+--R +
+--R 13482032616x + 1817443594
+--R /
+--R 6 5 4 3 2
+--R 1180980x + 4723920x + 7873200x + 6998400x + 3499200x + 933120x
+--R +
+--R 103680
+--R Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 334
+
+--S 335 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 335
+
+)clear all
+
+--S 336 of 500
+t0:=(1-2*x)^3/((2+3*x)^8*(3+5*x))
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R /
+--R 9 8 7 6 5 4 3
+--R 32805x + 194643x + 513216x + 789264x + 780192x + 514080x + 225792x
+--R +
+--R 2
+--R 63744x + 10496x + 768
+--R Type: Fraction(Polynomial(Integer))
+--E 336
+
+--S 337 of 500
+r0:=49/27/(2+3*x)^7+1421/162/(2+3*x)^6+7189/135/(2+3*x)^5+1331/4/(2+3*x)^4+_
+ 6655/3/(2+3*x)^3+33275/2/(2+3*x)^2+166375/(2+3*x)-_
+ 831875*log(2+3*x)+831875*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R 2947283212500x + 13753988325000x + 27507976650000x
+--R +
+--R 4 3 2
+--R 30564418500000x + 20376279000000x + 8150511600000x
+--R +
+--R 1811224800000x + 172497600000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R - 2947283212500x - 13753988325000x - 27507976650000x
+--R +
+--R 4 3 2
+--R - 30564418500000x - 20376279000000x - 8150511600000x
+--R +
+--R - 1811224800000x - 172497600000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 196485547500x + 792491708250x + 1332026467200x + 1194258563685x
+--R +
+--R 2
+--R 602391504582x + 162081979026x + 18174436072
+--R /
+--R 7 6 5 4 3 2
+--R 3542940x + 16533720x + 33067440x + 36741600x + 24494400x + 9797760x
+--R +
+--R 2177280x + 207360
+--R Type: Expression(Integer)
+--E 337
+
+--S 338 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5
+--R 2947283212500x + 13753988325000x + 27507976650000x
+--R +
+--R 4 3 2
+--R 30564418500000x + 20376279000000x + 8150511600000x
+--R +
+--R 1811224800000x + 172497600000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R - 2947283212500x - 13753988325000x - 27507976650000x
+--R +
+--R 4 3 2
+--R - 30564418500000x - 20376279000000x - 8150511600000x
+--R +
+--R - 1811224800000x - 172497600000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 196485547500x + 792491708250x + 1332026467200x + 1194258563685x
+--R +
+--R 2
+--R 602391504582x + 162081979026x + 18174436072
+--R /
+--R 7 6 5 4 3 2
+--R 3542940x + 16533720x + 33067440x + 36741600x + 24494400x + 9797760x
+--R +
+--R 2177280x + 207360
+--R Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 339
+
+--S 340 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 340
+
+)clear all
+
+--S 341 of 500
+t0:=(1-2*x)^3*(2+3*x)^6/(3+5*x)^2
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3 2
+--R - 5832x - 14580x - 8262x + 6993x + 8316x + 252x - 2240x - 528x
+--R +
+--R 192x + 64
+--R /
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 341
+
+--S 342 of 500
+r0:=13880997/1953125*x-461623/390625*x^2-1836723/78125*x^3-5643/3125*x^4+_
+ 774981/15625*x^5+12231/625*x^6-37908/875*x^7-729/25*x^8+_
+ (-1331/9765625)/(3+5*x)+23232/9765625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 9 8
+--R (813120x + 487872)log(5x + 3) - 9966796875x - 20787890625x
+--R +
+--R 7 6 5 4
+--R - 2195859375x + 20966006250x + 9554422500x - 8405985000x
+--R +
+--R 3 2
+--R - 5225318000x + 2186822400x + 1457504685x - 9317
+--R /
+--R 341796875x + 205078125
+--R Type: Expression(Integer)
+--E 342
+
+--S 343 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8
+--R (813120x + 487872)log(5x + 3) - 9966796875x - 20787890625x
+--R +
+--R 7 6 5 4
+--R - 2195859375x + 20966006250x + 9554422500x - 8405985000x
+--R +
+--R 3 2
+--R - 5225318000x + 2186822400x + 1457504685x - 9317
+--R /
+--R 341796875x + 205078125
+--R Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 344
+
+--S 345 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 345
+
+)clear all
+
+--S 346 of 500
+t0:=(1-2*x)^3*(2+3*x)^5/(3+5*x)^2
+--R
+--R
+--R 8 7 6 5 4 3 2
+--R - 1944x - 3564x - 378x + 2583x + 1050x - 616x - 336x + 48x + 32
+--R (1) ----------------------------------------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 346
+
+--S 347 of 500
+r0:=1382328/390625*x-507023/156250*x^2-26594/3125*x^3+108387/12500*x^4+_
+ 44982/3125*x^5-1026/125*x^6-1944/175*x^7+(-1331/1953125)/(3+5*x)+_
+ 19239/1953125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 8 7
+--R (2693460x + 1616076)log(5x + 3) - 3037500000x - 4066875000x
+--R +
+--R 6 5 4 3 2
+--R 2589300000x + 4732520625x - 904395625x - 2283475250x + 435255450x
+--R +
+--R 580577760x - 37268
+--R /
+--R 273437500x + 164062500
+--R Type: Expression(Integer)
+--E 347
+
+--S 348 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7
+--R (2693460x + 1616076)log(5x + 3) - 3037500000x - 4066875000x
+--R +
+--R 6 5 4 3 2
+--R 2589300000x + 4732520625x - 904395625x - 2283475250x + 435255450x
+--R +
+--R 580577760x - 37268
+--R /
+--R 273437500x + 164062500
+--R Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 349
+
+--S 350 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 350
+
+)clear all
+
+--S 351 of 500
+t0:=(1-2*x)^3*(2+3*x)^4/(3+5*x)^2
+--R
+--R
+--R 7 6 5 4 3 2
+--R - 648x - 756x + 378x + 609x - 56x - 168x + 16
+--R (1) ---------------------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 351
+
+--S 352 of 500
+r0:=133659/78125*x-1816/625*x^2-4217/3125*x^3+7317/1250*x^4+108/625*x^5-_
+ 108/25*x^6+(-1331/390625)/(3+5*x)+15246/390625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R (152460x + 91476)log(5x + 3) - 16875000x - 9450000x + 23270625x
+--R +
+--R 4 3 2
+--R 8448125x - 14512750x - 127050x + 4009770x - 2662
+--R /
+--R 3906250x + 2343750
+--R Type: Expression(Integer)
+--E 352
+
+--S 353 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5
+--R (152460x + 91476)log(5x + 3) - 16875000x - 9450000x + 23270625x
+--R +
+--R 4 3 2
+--R 8448125x - 14512750x - 127050x + 4009770x - 2662
+--R /
+--R 3906250x + 2343750
+--R Type: Union(Expression(Integer),...)
+--E 353
+
+--S 354 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 354
+
+--S 355 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 355
+
+)clear all
+
+--S 356 of 500
+t0:=(1-2*x)^3*(2+3*x)^3/(3+5*x)^2
+--R
+--R
+--R 6 5 4 3 2
+--R - 216x - 108x + 198x + 71x - 66x - 12x + 8
+--R (1) -----------------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 356
+
+--S 357 of 500
+r0:=1998/3125*x-12077/6250*x^2+786/625*x^3+189/125*x^4-216/125*x^5+_
+ (-1331/78125)/(3+5*x)+11253/78125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4
+--R (112530x + 67518)log(5x + 3) - 1350000x + 371250x + 1691250x
+--R +
+--R 3 2
+--R - 920125x - 406275x + 299700x - 2662
+--R /
+--R 781250x + 468750
+--R Type: Expression(Integer)
+--E 357
+
+--S 358 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4
+--R (112530x + 67518)log(5x + 3) - 1350000x + 371250x + 1691250x
+--R +
+--R 3 2
+--R - 920125x - 406275x + 299700x - 2662
+--R /
+--R 781250x + 468750
+--R Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 359
+
+--S 360 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 360
+
+)clear all
+
+--S 361 of 500
+t0:=(1-2*x)^3*(2+3*x)^2/(3+5*x)^2
+--R
+--R
+--R 5 4 3 2
+--R - 72x + 12x + 58x - 15x - 12x + 4
+--R (1) -------------------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 361
+
+--S 362 of 500
+r0:=-1179/3125*x-427/625*x^2+164/125*x^3-18/25*x^4+(-1331/15625)/(3+5*x)+_
+ 1452/3125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R (36300x + 21780)log(5x + 3) - 56250x + 68750x + 8125x - 61500x
+--R +
+--R - 17685x - 1331
+--R /
+--R 78125x + 46875
+--R Type: Expression(Integer)
+--E 362
+
+--S 363 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R (36300x + 21780)log(5x + 3) - 56250x + 68750x + 8125x - 61500x
+--R +
+--R - 17685x - 1331
+--R /
+--R 78125x + 46875
+--R Type: Union(Expression(Integer),...)
+--E 363
+
+--S 364 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 364
+
+--S 365 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 365
+
+)clear all
+
+--S 366 of 500
+t0:=(1-2*x)^3*(2+3*x)/(3+5*x)^2
+--R
+--R
+--R 4 3 2
+--R - 24x + 20x + 6x - 9x + 2
+--R (1) ----------------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 366
+
+--S 367 of 500
+r0:=-1098/625*x+122/125*x^2-8/25*x^3+(-1331/3125)/(3+5*x)+3267/3125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (16335x + 9801)log(5x + 3) - 5000x + 12250x - 18300x - 16470x - 1331
+--R -----------------------------------------------------------------------
+--R 15625x + 9375
+--R Type: Expression(Integer)
+--E 367
+
+--S 368 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (16335x + 9801)log(5x + 3) - 5000x + 12250x - 18300x - 16470x - 1331
+--R -----------------------------------------------------------------------
+--R 15625x + 9375
+--R Type: Union(Expression(Integer),...)
+--E 368
+
+--S 369 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 369
+
+--S 370 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 370
+
+)clear all
+
+--S 371 of 500
+t0:=(1-2*x)^3/(3+5*x)^2
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ---------------------
+--R 2
+--R 25x + 30x + 9
+--R Type: Fraction(Polynomial(Integer))
+--E 371
+
+--S 372 of 500
+r0:=108/125*x-4/25*x^2+(-1331/625)/(3+5*x)-726/625*log(3+5*x)
+--R
+--R
+--R 3 2
+--R (- 3630x - 2178)log(5x + 3) - 500x + 2400x + 1620x - 1331
+--R (2) -----------------------------------------------------------
+--R 3125x + 1875
+--R Type: Expression(Integer)
+--E 372
+
+--S 373 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R (- 3630x - 2178)log(5x + 3) - 500x + 2400x + 1620x - 1331
+--R (3) -----------------------------------------------------------
+--R 3125x + 1875
+--R Type: Union(Expression(Integer),...)
+--E 373
+
+--S 374 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 374
+
+--S 375 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 375
+
+)clear all
+
+--S 376 of 500
+t0:=(1-2*x)^3/((2+3*x)*(3+5*x)^2)
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) -----------------------
+--R 3 2
+--R 75x + 140x + 87x + 18
+--R Type: Fraction(Polynomial(Integer))
+--E 376
+
+--S 377 of 500
+r0:=-8/75*x+(-1331/125)/(3+5*x)+343/9*log(2+3*x)-4719/125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (- 212355x - 127413)log(5x + 3) + (214375x + 128625)log(3x + 2) - 600x
+--R +
+--R - 360x - 11979
+--R /
+--R 5625x + 3375
+--R Type: Expression(Integer)
+--E 377
+
+--S 378 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (- 212355x - 127413)log(5x + 3) + (214375x + 128625)log(3x + 2) - 600x
+--R +
+--R - 360x - 11979
+--R /
+--R 5625x + 3375
+--R Type: Union(Expression(Integer),...)
+--E 378
+
+--S 379 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 379
+
+--S 380 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 380
+
+)clear all
+
+--S 381 of 500
+t0:=(1-2*x)^3/((2+3*x)^2*(3+5*x)^2)
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ---------------------------------
+--R 4 3 2
+--R 225x + 570x + 541x + 228x + 36
+--R Type: Fraction(Polynomial(Integer))
+--E 381
+
+--S 382 of 500
+r0:=(-343/9)/(2+3*x)+(-1331/25)/(3+5*x)+3136/9*log(2+3*x)-8712/25*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (- 1176120x - 1489752x - 470448)log(5x + 3)
+--R +
+--R 2
+--R (1176000x + 1489600x + 470400)log(3x + 2) - 78812x - 49683
+--R /
+--R 2
+--R 3375x + 4275x + 1350
+--R Type: Expression(Integer)
+--E 382
+
+--S 383 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (- 1176120x - 1489752x - 470448)log(5x + 3)
+--R +
+--R 2
+--R (1176000x + 1489600x + 470400)log(3x + 2) - 78812x - 49683
+--R /
+--R 2
+--R 3375x + 4275x + 1350
+--R Type: Union(Expression(Integer),...)
+--E 383
+
+--S 384 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 384
+
+--S 385 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 385
+
+)clear all
+
+--S 386 of 500
+t0:=(1-2*x)^3/((2+3*x)^3*(3+5*x)^2)
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) --------------------------------------------
+--R 5 4 3 2
+--R 675x + 2160x + 2763x + 1766x + 564x + 72
+--R Type: Fraction(Polynomial(Integer))
+--E 386
+
+--S 387 of 500
+r0:=(-343/18)/(2+3*x)^2+(-3136/9)/(2+3*x)+(-1331/5)/(3+5*x)+_
+ 2541*log(2+3*x)-2541*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (- 10291050x - 19896030x - 12806640x - 2744280)log(5x + 3)
+--R +
+--R 3 2 2
+--R (10291050x + 19896030x + 12806640x + 2744280)log(3x + 2) - 686022x
+--R +
+--R - 891911x - 289137
+--R /
+--R 3 2
+--R 4050x + 7830x + 5040x + 1080
+--R Type: Expression(Integer)
+--E 387
+
+--S 388 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (- 10291050x - 19896030x - 12806640x - 2744280)log(5x + 3)
+--R +
+--R 3 2 2
+--R (10291050x + 19896030x + 12806640x + 2744280)log(3x + 2) - 686022x
+--R +
+--R - 891911x - 289137
+--R /
+--R 3 2
+--R 4050x + 7830x + 5040x + 1080
+--R Type: Union(Expression(Integer),...)
+--E 388
+
+--S 389 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 389
+
+--S 390 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 390
+
+)clear all
+
+--S 391 of 500
+t0:=(1-2*x)^3/((2+3*x)^4*(3+5*x)^2)
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ----------------------------------------------------------
+--R 6 5 4 3 2
+--R 2025x + 7830x + 12609x + 10824x + 5224x + 1344x + 144
+--R Type: Fraction(Polynomial(Integer))
+--E 391
+
+--S 392 of 500
+r0:=(-343/27)/(2+3*x)^3+(-1568/9)/(2+3*x)^2+(-2541)/(2+3*x)+_
+ (-1331)/(3+5*x)+16698*log(2+3*x)-16698*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (- 60864210x - 158246946x - 154189332x - 66725208x - 10820304)
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R (60864210x + 158246946x + 154189332x + 66725208x + 10820304)
+--R *
+--R log(3x + 2)
+--R +
+--R 3 2
+--R - 4057614x - 7979967x - 5226815x - 1140033
+--R /
+--R 4 3 2
+--R 3645x + 9477x + 9234x + 3996x + 648
+--R Type: Expression(Integer)
+--E 392
+
+--S 393 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (- 60864210x - 158246946x - 154189332x - 66725208x - 10820304)
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R (60864210x + 158246946x + 154189332x + 66725208x + 10820304)
+--R *
+--R log(3x + 2)
+--R +
+--R 3 2
+--R - 4057614x - 7979967x - 5226815x - 1140033
+--R /
+--R 4 3 2
+--R 3645x + 9477x + 9234x + 3996x + 648
+--R Type: Union(Expression(Integer),...)
+--E 393
+
+--S 394 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 394
+
+--S 395 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 395
+
+)clear all
+
+--S 396 of 500
+t0:=(1-2*x)^3/((2+3*x)^5*(3+5*x)^2)
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ----------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 6075x + 27540x + 53487x + 57690x + 37320x + 14480x + 3120x + 288
+--R Type: Fraction(Polynomial(Integer))
+--E 396
+
+--S 397 of 500
+r0:=(-343/36)/(2+3*x)^4+(-3136/27)/(2+3*x)^3+(-2541/2)/(2+3*x)^2+_
+ (-16698)/(2+3*x)+(-6655)/(3+5*x)+103455*log(2+3*x)-103455*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R - 4525121700x - 14782064220x - 19307185920x - 12603301920x
+--R +
+--R - 4111715520x - 536310720
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R 4525121700x + 14782064220x + 19307185920x + 12603301920x
+--R +
+--R 4111715520x + 536310720
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R - 301674780x - 794410254x - 784130946x - 343827337x - 56505975
+--R /
+--R 5 4 3 2
+--R 43740x + 142884x + 186624x + 121824x + 39744x + 5184
+--R Type: Expression(Integer)
+--E 397
+
+--S 398 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R - 4525121700x - 14782064220x - 19307185920x - 12603301920x
+--R +
+--R - 4111715520x - 536310720
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R 4525121700x + 14782064220x + 19307185920x + 12603301920x
+--R +
+--R 4111715520x + 536310720
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R - 301674780x - 794410254x - 784130946x - 343827337x - 56505975
+--R /
+--R 5 4 3 2
+--R 43740x + 142884x + 186624x + 121824x + 39744x + 5184
+--R Type: Union(Expression(Integer),...)
+--E 398
+
+--S 399 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 399
+
+--S 400 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 400
+
+)clear all
+
+--S 401 of 500
+t0:=(1-2*x)^3/((2+3*x)^6*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 18225x + 94770x + 215541x + 280044x + 227340x + 118080x + 38320x
+--R +
+--R 7104x + 576
+--R Type: Fraction(Polynomial(Integer))
+--E 401
+
+--S 402 of 500
+r0:=(-343/45)/(2+3*x)^5+(-784/9)/(2+3*x)^4+(-847)/(2+3*x)^3+_
+ (-8349)/(2+3*x)^2+(-103455)/(2+3*x)+(-33275)/(3+5*x)+_
+ 617100*log(2+3*x)-617100*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R - 33739942500x - 132710440500x - 217435185000x - 189943380000x
+--R +
+--R 2
+--R - 93305520000x - 24437160000x - 2665872000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R 33739942500x + 132710440500x + 217435185000x + 189943380000x
+--R +
+--R 2
+--R 93305520000x + 24437160000x + 2665872000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 2249329500x - 7422787350x - 9795413430x - 6461351715x - 2130399775x
+--R +
+--R - 280877649
+--R /
+--R 6 5 4 3 2
+--R 54675x + 215055x + 352350x + 307800x + 151200x + 39600x + 4320
+--R Type: Expression(Integer)
+--E 402
+
+--S 403 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R - 33739942500x - 132710440500x - 217435185000x - 189943380000x
+--R +
+--R 2
+--R - 93305520000x - 24437160000x - 2665872000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R 33739942500x + 132710440500x + 217435185000x + 189943380000x
+--R +
+--R 2
+--R 93305520000x + 24437160000x + 2665872000
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 2249329500x - 7422787350x - 9795413430x - 6461351715x - 2130399775x
+--R +
+--R - 280877649
+--R /
+--R 6 5 4 3 2
+--R 54675x + 215055x + 352350x + 307800x + 151200x + 39600x + 4320
+--R Type: Union(Expression(Integer),...)
+--E 403
+
+--S 404 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 404
+
+--S 405 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 405
+
+)clear all
+
+--S 406 of 500
+t0:=(1-2*x)^3/((2+3*x)^7*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R /
+--R 9 8 7 6 5 4
+--R 54675x + 320760x + 836163x + 1271214x + 1242108x + 808920x
+--R +
+--R 3 2
+--R 351120x + 97952x + 15936x + 1152
+--R Type: Fraction(Polynomial(Integer))
+--E 406
+
+--S 407 of 500
+r0:=(-343/54)/(2+3*x)^6+(-3136/45)/(2+3*x)^5+(-2541/4)/(2+3*x)^4+_
+ (-5566)/(2+3*x)^3+(-103455/2)/(2+3*x)^2+(-617100)/(2+3*x)+_
+ (-166375)/(3+5*x)+3584625*log(2+3*x)-3584625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R - 7055617387500x - 32455839982500x - 63970930980000x
+--R +
+--R 4 3 2
+--R - 70033535550000x - 45992172600000x - 18118128600000x
+--R +
+--R - 3964308480000x - 371653920000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R 7055617387500x + 32455839982500x + 63970930980000x
+--R +
+--R 4 3 2
+--R 70033535550000x + 45992172600000x + 18118128600000x
+--R +
+--R 3964308480000x + 371653920000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 470374492500x - 1865818820250x - 3083217691950x - 2716778541015x
+--R +
+--R 2
+--R - 1346292632205x - 355739265638x - 39157648662
+--R /
+--R 7 6 5 4 3 2
+--R 1968300x + 9054180x + 17845920x + 19537200x + 12830400x + 5054400x
+--R +
+--R 1105920x + 103680
+--R Type: Expression(Integer)
+--E 407
+
+--S 408 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5
+--R - 7055617387500x - 32455839982500x - 63970930980000x
+--R +
+--R 4 3 2
+--R - 70033535550000x - 45992172600000x - 18118128600000x
+--R +
+--R - 3964308480000x - 371653920000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R 7055617387500x + 32455839982500x + 63970930980000x
+--R +
+--R 4 3 2
+--R 70033535550000x + 45992172600000x + 18118128600000x
+--R +
+--R 3964308480000x + 371653920000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 470374492500x - 1865818820250x - 3083217691950x - 2716778541015x
+--R +
+--R 2
+--R - 1346292632205x - 355739265638x - 39157648662
+--R /
+--R 7 6 5 4 3 2
+--R 1968300x + 9054180x + 17845920x + 19537200x + 12830400x + 5054400x
+--R +
+--R 1105920x + 103680
+--R Type: Union(Expression(Integer),...)
+--E 408
+
+--S 409 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 409
+
+--S 410 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 410
+
+)clear all
+
+--S 411 of 500
+t0:=(1-2*x)^3/((2+3*x)^8*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R /
+--R 10 9 8 7 6 5
+--R 164025x + 1071630x + 3150009x + 5485968x + 6268752x + 4910976x
+--R +
+--R 4 3 2
+--R 2671200x + 996096x + 243712x + 35328x + 2304
+--R Type: Fraction(Polynomial(Integer))
+--E 411
+
+--S 412 of 500
+r0:=(-49/9)/(2+3*x)^7+(-1568/27)/(2+3*x)^6+(-2541/5)/(2+3*x)^5+_
+ (-8349/2)/(2+3*x)^4+(-34485)/(2+3*x)^3+(-308550)/(2+3*x)^2+_
+ (-3584625)/(2+3*x)+(-831875)/(3+5*x)+20418750*log(2+3*x)-_
+ 20418750*log(3+5*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R - 60285338437500x - 317502782437500x - 731462106375000x
+--R +
+--R 5 4 3
+--R - 962779182750000x - 791896297500000x - 416787525000000x
+--R +
+--R 2
+--R - 137076786000000x - 25757028000000x - 2117016000000
+--R *
+--R log(5x + 3)
+--R +
+--R 8 7 6
+--R 60285338437500x + 317502782437500x + 731462106375000x
+--R +
+--R 5 4 3
+--R 962779182750000x + 791896297500000x + 416787525000000x
+--R +
+--R 2
+--R 137076786000000x + 25757028000000x + 2117016000000
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5
+--R - 4019022562500x - 18621471206250x - 36972030521250x
+--R +
+--R 4 3 2
+--R - 40775613627375x - 26978454053595x - 10708299857748x - 2360937751874x
+--R +
+--R - 223049897418
+--R /
+--R 8 7 6 5 4
+--R 2952450x + 15549570x + 35823060x + 47151720x + 38782800x
+--R +
+--R 3 2
+--R 20412000x + 6713280x + 1261440x + 103680
+--R Type: Expression(Integer)
+--E 412
+
+--S 413 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R - 60285338437500x - 317502782437500x - 731462106375000x
+--R +
+--R 5 4 3
+--R - 962779182750000x - 791896297500000x - 416787525000000x
+--R +
+--R 2
+--R - 137076786000000x - 25757028000000x - 2117016000000
+--R *
+--R log(5x + 3)
+--R +
+--R 8 7 6
+--R 60285338437500x + 317502782437500x + 731462106375000x
+--R +
+--R 5 4 3
+--R 962779182750000x + 791896297500000x + 416787525000000x
+--R +
+--R 2
+--R 137076786000000x + 25757028000000x + 2117016000000
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5
+--R - 4019022562500x - 18621471206250x - 36972030521250x
+--R +
+--R 4 3 2
+--R - 40775613627375x - 26978454053595x - 10708299857748x - 2360937751874x
+--R +
+--R - 223049897418
+--R /
+--R 8 7 6 5 4
+--R 2952450x + 15549570x + 35823060x + 47151720x + 38782800x
+--R +
+--R 3 2
+--R 20412000x + 6713280x + 1261440x + 103680
+--R Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 414
+
+--S 415 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 415
+
+)clear all
+
+--S 416 of 500
+t0:=(1-2*x)^3*(2+3*x)^7/(3+5*x)^3
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5 4
+--R - 17496x - 55404x - 53946x + 4455x + 38934x + 17388x - 6216x
+--R +
+--R 3 2
+--R - 6064x - 480x + 576x + 128
+--R /
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 416
+
+--S 417 of 500
+r0:=46214407/9765625*x-2300646/1953125*x^2-5918904/390625*x^3+_
+ 6507/62500*x^4+491913/15625*x^5+33291/3125*x^6-119556/4375*x^7-_
+ 2187/125*x^8+(-1331/97656250)/(3+5*x)^2+(-1089/1953125)/(3+5*x)+_
+ 47289/9765625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 10
+--R (165511500x + 198613800x + 59584140)log(5x + 3) - 598007812500x
+--R +
+--R 9 8 7 6
+--R - 1651640625000x - 972000000000x + 1176752812500x + 1425913453125x
+--R +
+--R 5 4 3 2
+--R - 126252393750x - 660465159375x - 73008617500x + 179606439600x
+--R +
+--R 58226341320x - 2305534
+--R /
+--R 2
+--R 34179687500x + 41015625000x + 12304687500
+--R Type: Expression(Integer)
+--E 417
+
+--S 418 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 10
+--R (165511500x + 198613800x + 59584140)log(5x + 3) - 598007812500x
+--R +
+--R 9 8 7 6
+--R - 1651640625000x - 972000000000x + 1176752812500x + 1425913453125x
+--R +
+--R 5 4 3 2
+--R - 126252393750x - 660465159375x - 73008617500x + 179606439600x
+--R +
+--R 58226341320x - 2305534
+--R /
+--R 2
+--R 34179687500x + 41015625000x + 12304687500
+--R Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 419
+
+--S 420 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 420
+
+)clear all
+
+--S 421 of 500
+t0:=(1-2*x)^3*(2+3*x)^6/(3+5*x)^3
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4 3 2
+--R - 5832x - 14580x - 8262x + 6993x + 8316x + 252x - 2240x - 528x
+--R +
+--R 192x + 64
+--R /
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 421
+
+--S 422 of 500
+r0:=4571416/1953125*x-915777/390625*x^2-81747/15625*x^3+74223/12500*x^4+_
+ 134622/15625*x^5-3402/625*x^6-5832/875*x^7+(-1331/19531250)/(3+5*x)^2+_
+ (-23232/9765625)/(3+5*x)+166749/9765625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 9
+--R (116724300x + 140069160x + 42020748)log(5x + 3) - 45562500000x
+--R +
+--R 8 7 6 5
+--R - 91884375000x - 2156625000x + 97871878125x + 34147496250x
+--R +
+--R 4 3 2
+--R - 44330619375x - 16106513500x + 13430552100x + 5756731680x - 1970122
+--R /
+--R 2
+--R 6835937500x + 8203125000x + 2460937500
+--R Type: Expression(Integer)
+--E 422
+
+--S 423 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 9
+--R (116724300x + 140069160x + 42020748)log(5x + 3) - 45562500000x
+--R +
+--R 8 7 6 5
+--R - 91884375000x - 2156625000x + 97871878125x + 34147496250x
+--R +
+--R 4 3 2
+--R - 44330619375x - 16106513500x + 13430552100x + 5756731680x - 1970122
+--R /
+--R 2
+--R 6835937500x + 8203125000x + 2460937500
+--R Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 424
+
+--S 425 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 425
+
+)clear all
+
+--S 426 of 500
+t0:=(1-2*x)^3*(2+3*x)^5/(3+5*x)^3
+--R
+--R
+--R 8 7 6 5 4 3 2
+--R - 1944x - 3564x - 378x + 2583x + 1050x - 616x - 336x + 48x + 32
+--R (1) ----------------------------------------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 426
+
+--S 427 of 500
+r0:=424432/390625*x-62097/31250*x^2-393/625*x^3+22977/6250*x^4-_
+ 324/3125*x^5-324/125*x^6+(-1331/3906250)/(3+5*x)^2+_
+ (-19239/1953125)/(3+5*x)+109032/1953125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 8 7
+--R (5451600x + 6541920x + 1962576)log(5x + 3) - 253125000x - 313875000x
+--R +
+--R 6 5 4 3 2
+--R 255740625x + 365767500x - 138495000x - 148862000x + 57470475x
+--R +
+--R 38006490x - 116765
+--R /
+--R 2
+--R 97656250x + 117187500x + 35156250
+--R Type: Expression(Integer)
+--E 427
+
+--S 428 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 8 7
+--R (5451600x + 6541920x + 1962576)log(5x + 3) - 253125000x - 313875000x
+--R +
+--R 6 5 4 3 2
+--R 255740625x + 365767500x - 138495000x - 148862000x + 57470475x
+--R +
+--R 38006490x - 116765
+--R /
+--R 2
+--R 97656250x + 117187500x + 35156250
+--R Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 429
+
+--S 430 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 430
+
+)clear all
+
+--S 431 of 500
+t0:=(1-2*x)^3*(2+3*x)^4/(3+5*x)^3
+--R
+--R
+--R 7 6 5 4 3 2
+--R - 648x - 756x + 378x + 609x - 56x - 168x + 16
+--R (1) ---------------------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 431
+
+--S 432 of 500
+r0:=4691/15625*x-7617/6250*x^2+2826/3125*x^3+513/625*x^4-648/625*x^5+_
+ (-1331/781250)/(3+5*x)^2+(-15246/390625)/(3+5*x)+63294/390625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 7 6
+--R (3164700x + 3797640x + 1139292)log(5x + 3) - 20250000x - 8268750x
+--R +
+--R 5 4 3 2
+--R 29610000x + 3163125x - 16341500x - 1532625x + 1958490x - 92807
+--R /
+--R 2
+--R 19531250x + 23437500x + 7031250
+--R Type: Expression(Integer)
+--E 432
+
+--S 433 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 7 6
+--R (3164700x + 3797640x + 1139292)log(5x + 3) - 20250000x - 8268750x
+--R +
+--R 5 4 3 2
+--R 29610000x + 3163125x - 16341500x - 1532625x + 1958490x - 92807
+--R /
+--R 2
+--R 19531250x + 23437500x + 7031250
+--R Type: Union(Expression(Integer),...)
+--E 433
+
+--S 434 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 434
+
+--S 435 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 435
+
+)clear all
+
+--S 436 of 500
+t0:=(1-2*x)^3*(2+3*x)^3/(3+5*x)^3
+--R
+--R
+--R 6 5 4 3 2
+--R - 216x - 108x + 198x + 71x - 66x - 12x + 8
+--R (1) -----------------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 436
+
+--S 437 of 500
+r0:=-1303/3125*x-927/3125*x^2+468/625*x^3-54/125*x^4+_
+ (-1331/156250)/(3+5*x)^2+(-11253/78125)/(3+5*x)+5907/15625*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 6 5
+--R (1476750x + 1772100x + 531630)log(5x + 3) - 1687500x + 900000x
+--R +
+--R 4 3 2
+--R 1743750x - 1966250x - 2371650x - 698880x - 68849
+--R /
+--R 2
+--R 3906250x + 4687500x + 1406250
+--R Type: Expression(Integer)
+--E 437
+
+--S 438 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 6 5
+--R (1476750x + 1772100x + 531630)log(5x + 3) - 1687500x + 900000x
+--R +
+--R 4 3 2
+--R 1743750x - 1966250x - 2371650x - 698880x - 68849
+--R /
+--R 2
+--R 3906250x + 4687500x + 1406250
+--R Type: Union(Expression(Integer),...)
+--E 438
+
+--S 439 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 439
+
+--S 440 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 440
+
+)clear all
+
+--S 441 of 500
+t0:=(1-2*x)^3*(2+3*x)^2/(3+5*x)^3
+--R
+--R
+--R 5 4 3 2
+--R - 72x + 12x + 58x - 15x - 12x + 4
+--R (1) -------------------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 441
+
+--S 442 of 500
+r0:=-2978/3125*x+354/625*x^2-24/125*x^3+(-1331/31250)/(3+5*x)^2+_
+ (-1452/3125)/(3+5*x)+1551/3125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 5 4 3
+--R (387750x + 465300x + 139590)log(5x + 3) - 150000x + 262500x - 267500x
+--R +
+--R 2
+--R - 734100x - 340620x - 44891
+--R /
+--R 2
+--R 781250x + 937500x + 281250
+--R Type: Expression(Integer)
+--E 442
+
+--S 443 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 5 4 3
+--R (387750x + 465300x + 139590)log(5x + 3) - 150000x + 262500x - 267500x
+--R +
+--R 2
+--R - 734100x - 340620x - 44891
+--R /
+--R 2
+--R 781250x + 937500x + 281250
+--R Type: Union(Expression(Integer),...)
+--E 443
+
+--S 444 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 444
+
+--S 445 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 445
+
+)clear all
+
+--S 446 of 500
+t0:=(1-2*x)^3*(2+3*x)/(3+5*x)^3
+--R
+--R
+--R 4 3 2
+--R - 24x + 20x + 6x - 9x + 2
+--R (1) ----------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 446
+
+--S 447 of 500
+r0:=316/625*x-12/125*x^2+(-1331/6250)/(3+5*x)^2+(-3267/3125)/(3+5*x)-_
+ 2046/3125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2 4 3 2
+--R (- 102300x - 122760x - 36828)log(5x + 3) - 15000x + 61000x + 89400x
+--R +
+--R - 4230x - 20933
+--R /
+--R 2
+--R 156250x + 187500x + 56250
+--R Type: Expression(Integer)
+--E 447
+
+--S 448 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 4 3 2
+--R (- 102300x - 122760x - 36828)log(5x + 3) - 15000x + 61000x + 89400x
+--R +
+--R - 4230x - 20933
+--R /
+--R 2
+--R 156250x + 187500x + 56250
+--R Type: Union(Expression(Integer),...)
+--E 448
+
+--S 449 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 449
+
+--S 450 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 450
+
+)clear all
+
+--S 451 of 500
+t0:=(1-2*x)^3/(3+5*x)^3
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) -------------------------
+--R 3 2
+--R 125x + 225x + 135x + 27
+--R Type: Fraction(Polynomial(Integer))
+--E 451
+
+--S 452 of 500
+r0:=-8/125*x+(-1331/1250)/(3+5*x)^2+726/625/(3+5*x)+132/625*log(3+5*x)
+--R
+--R
+--R 2 3 2
+--R (6600x + 7920x + 2376)log(5x + 3) - 2000x - 2400x + 6540x + 3025
+--R (2) -------------------------------------------------------------------
+--R 2
+--R 31250x + 37500x + 11250
+--R Type: Expression(Integer)
+--E 452
+
+--S 453 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2 3 2
+--R (6600x + 7920x + 2376)log(5x + 3) - 2000x - 2400x + 6540x + 3025
+--R (3) -------------------------------------------------------------------
+--R 2
+--R 31250x + 37500x + 11250
+--R Type: Union(Expression(Integer),...)
+--E 453
+
+--S 454 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 454
+
+--S 455 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 455
+
+)clear all
+
+--S 456 of 500
+t0:=(1-2*x)^3/((2+3*x)*(3+5*x)^3)
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ---------------------------------
+--R 4 3 2
+--R 375x + 925x + 855x + 351x + 54
+--R Type: Fraction(Polynomial(Integer))
+--E 456
+
+--S 457 of 500
+r0:=(-1331/250)/(3+5*x)^2+4719/125/(3+5*x)-343/3*log(2+3*x)+_
+ 14289/125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (2143350x + 2572020x + 771606)log(5x + 3)
+--R +
+--R 2
+--R (- 2143750x - 2572500x - 771750)log(3x + 2) + 141570x + 80949
+--R /
+--R 2
+--R 18750x + 22500x + 6750
+--R Type: Expression(Integer)
+--E 457
+
+--S 458 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (2143350x + 2572020x + 771606)log(5x + 3)
+--R +
+--R 2
+--R (- 2143750x - 2572500x - 771750)log(3x + 2) + 141570x + 80949
+--R /
+--R 2
+--R 18750x + 22500x + 6750
+--R Type: Union(Expression(Integer),...)
+--E 458
+
+--S 459 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 459
+
+--S 460 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 460
+
+)clear all
+
+--S 461 of 500
+t0:=(1-2*x)^3/((2+3*x)^2*(3+5*x)^3)
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) ----------------------------------------------
+--R 5 4 3 2
+--R 1125x + 3525x + 4415x + 2763x + 864x + 108
+--R Type: Fraction(Polynomial(Integer))
+--E 461
+
+--S 462 of 500
+r0:=343/3/(2+3*x)+(-1331/50)/(3+5*x)^2+8712/25/(3+5*x)-1617*log(2+3*x)+_
+ 1617*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (18191250x + 33957000x + 21101850x + 4365900)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 18191250x - 33957000x - 21101850x - 4365900)log(3x + 2) + 1212830x
+--R +
+--R 1495689x + 459996
+--R /
+--R 3 2
+--R 11250x + 21000x + 13050x + 2700
+--R Type: Expression(Integer)
+--E 462
+
+--S 463 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (18191250x + 33957000x + 21101850x + 4365900)log(5x + 3)
+--R +
+--R 3 2 2
+--R (- 18191250x - 33957000x - 21101850x - 4365900)log(3x + 2) + 1212830x
+--R +
+--R 1495689x + 459996
+--R /
+--R 3 2
+--R 11250x + 21000x + 13050x + 2700
+--R Type: Union(Expression(Integer),...)
+--E 463
+
+--S 464 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 464
+
+--S 465 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 465
+
+)clear all
+
+--S 466 of 500
+t0:=(1-2*x)^3/((2+3*x)^3*(3+5*x)^3)
+--R
+--R
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R (1) -----------------------------------------------------------
+--R 6 5 4 3 2
+--R 3375x + 12825x + 20295x + 17119x + 8118x + 2052x + 216
+--R Type: Fraction(Polynomial(Integer))
+--E 466
+
+--S 467 of 500
+r0:=343/6/(2+3*x)^2+1617/(2+3*x)+(-1331/10)/(3+5*x)^2+2541/(3+5*x)-_
+ 15708*log(2+3*x)+15708*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (106029000x + 268606800x + 254940840x + 107442720x + 16964640)
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 106029000x - 268606800x - 254940840x - 107442720x - 16964640)
+--R *
+--R log(3x + 2)
+--R +
+--R 3 2
+--R 7068600x + 13430348x + 8492784x + 1787403
+--R /
+--R 4 3 2
+--R 6750x + 17100x + 16230x + 6840x + 1080
+--R Type: Expression(Integer)
+--E 467
+
+--S 468 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (106029000x + 268606800x + 254940840x + 107442720x + 16964640)
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R (- 106029000x - 268606800x - 254940840x - 107442720x - 16964640)
+--R *
+--R log(3x + 2)
+--R +
+--R 3 2
+--R 7068600x + 13430348x + 8492784x + 1787403
+--R /
+--R 4 3 2
+--R 6750x + 17100x + 16230x + 6840x + 1080
+--R Type: Union(Expression(Integer),...)
+--E 468
+
+--S 469 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 469
+
+--S 470 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 470
+
+)clear all
+
+--S 471 of 500
+t0:=(1-2*x)^3/((2+3*x)^4*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R -----------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 10125x + 45225x + 86535x + 91947x + 58592x + 22392x + 4752x + 432
+--R Type: Fraction(Polynomial(Integer))
+--E 471
+
+--S 472 of 500
+r0:=343/9/(2+3*x)^3+1617/2/(2+3*x)^2+15708/(2+3*x)+(-1331/2)/(3+5*x)^2+_
+ 16698/(3+5*x)-128634*log(2+3*x)+128634*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R 1562903100x + 5001289920x + 6397483356x + 4089017592x
+--R +
+--R 1305892368x + 166709664
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 1562903100x - 5001289920x - 6397483356x - 4089017592x
+--R +
+--R - 1305892368x - 166709664
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 104193540x + 267430086x + 257165096x + 109804551x + 17564616
+--R /
+--R 5 4 3 2
+--R 12150x + 38880x + 49734x + 31788x + 10152x + 1296
+--R Type: Expression(Integer)
+--E 472
+
+--S 473 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 1562903100x + 5001289920x + 6397483356x + 4089017592x
+--R +
+--R 1305892368x + 166709664
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3 2
+--R - 1562903100x - 5001289920x - 6397483356x - 4089017592x
+--R +
+--R - 1305892368x - 166709664
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R 104193540x + 267430086x + 257165096x + 109804551x + 17564616
+--R /
+--R 5 4 3 2
+--R 12150x + 38880x + 49734x + 31788x + 10152x + 1296
+--R Type: Union(Expression(Integer),...)
+--E 473
+
+--S 474 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 474
+
+--S 475 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 475
+
+)clear all
+
+--S 476 of 500
+t0:=(1-2*x)^3/((2+3*x)^5*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 30375x + 155925x + 350055x + 448911x + 359670x + 184360x + 59040x
+--R +
+--R 10800x + 864
+--R Type: Fraction(Polynomial(Integer))
+--E 476
+
+--S 477 of 500
+r0:=343/12/(2+3*x)^4+539/(2+3*x)^3+7854/(2+3*x)^2+128634/(2+3*x)+_
+ (-6655/2)/(3+5*x)^2+103455/(3+5*x)-953535*log(2+3*x)+953535*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 23170900500x + 89594148600x + 144277473780x + 123852754080x
+--R +
+--R 2
+--R 59775202080x + 15378612480x + 1647708480
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 23170900500x - 89594148600x - 144277473780x - 123852754080x
+--R +
+--R 2
+--R - 59775202080x - 15378612480x - 1647708480
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 1544726700x + 4994616330x + 6455813364x + 4169655991x + 1345680462x
+--R +
+--R 173603415
+--R /
+--R 6 5 4 3 2
+--R 24300x + 93960x + 151308x + 129888x + 62688x + 16128x + 1728
+--R Type: Expression(Integer)
+--E 477
+
+--S 478 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 23170900500x + 89594148600x + 144277473780x + 123852754080x
+--R +
+--R 2
+--R 59775202080x + 15378612480x + 1647708480
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4 3
+--R - 23170900500x - 89594148600x - 144277473780x - 123852754080x
+--R +
+--R 2
+--R - 59775202080x - 15378612480x - 1647708480
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R 1544726700x + 4994616330x + 6455813364x + 4169655991x + 1345680462x
+--R +
+--R 173603415
+--R /
+--R 6 5 4 3 2
+--R 24300x + 93960x + 151308x + 129888x + 62688x + 16128x + 1728
+--R Type: Union(Expression(Integer),...)
+--E 478
+
+--S 479 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 479
+
+--S 480 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 480
+
+)clear all
+
+--S 481 of 500
+t0:=(1-2*x)^3/((2+3*x)^6*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R /
+--R 9 8 7 6 5 4
+--R 91125x + 528525x + 1362015x + 2046843x + 1976832x + 1272420x
+--R +
+--R 3 2
+--R 545840x + 150480x + 24192x + 1728
+--R Type: Fraction(Polynomial(Integer))
+--E 481
+
+--S 482 of 500
+r0:=343/15/(2+3*x)^5+1617/4/(2+3*x)^4+5236/(2+3*x)^3+64317/(2+3*x)^2+_
+ 953535/(2+3*x)+(-33275/2)/(3+5*x)^2+617100/(3+5*x)-_
+ 6618975*log(2+3*x)+6618975*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R 2412616387500x + 10937194290000x + 21241746949500x
+--R +
+--R 4 3 2
+--R 22910920065000x + 14821208820000x + 5750565480000x
+--R +
+--R 1239072120000x + 114375888000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R - 2412616387500x - 10937194290000x - 21241746949500x
+--R +
+--R 4 3 2
+--R - 22910920065000x - 14821208820000x - 5750565480000x
+--R +
+--R - 1239072120000x - 114375888000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 160841092500x + 627280260750x + 1018898535600x + 882286862985x
+--R +
+--R 2
+--R 429553050280x + 111486629505x + 12050702538
+--R /
+--R 7 6 5 4 3 2
+--R 364500x + 1652400x + 3209220x + 3461400x + 2239200x + 868800x
+--R +
+--R 187200x + 17280
+--R Type: Expression(Integer)
+--E 482
+
+--S 483 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5
+--R 2412616387500x + 10937194290000x + 21241746949500x
+--R +
+--R 4 3 2
+--R 22910920065000x + 14821208820000x + 5750565480000x
+--R +
+--R 1239072120000x + 114375888000
+--R *
+--R log(5x + 3)
+--R +
+--R 7 6 5
+--R - 2412616387500x - 10937194290000x - 21241746949500x
+--R +
+--R 4 3 2
+--R - 22910920065000x - 14821208820000x - 5750565480000x
+--R +
+--R - 1239072120000x - 114375888000
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R 160841092500x + 627280260750x + 1018898535600x + 882286862985x
+--R +
+--R 2
+--R 429553050280x + 111486629505x + 12050702538
+--R /
+--R 7 6 5 4 3 2
+--R 364500x + 1652400x + 3209220x + 3461400x + 2239200x + 868800x
+--R +
+--R 187200x + 17280
+--R Type: Union(Expression(Integer),...)
+--E 483
+
+--S 484 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 484
+
+--S 485 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 485
+
+)clear all
+
+--S 486 of 500
+t0:=(1-2*x)^3/((2+3*x)^7*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R /
+--R 10 9 8 7 6 5
+--R 273375x + 1767825x + 5143095x + 8864559x + 10024182x + 7770924x
+--R +
+--R 4 3 2
+--R 4182360x + 1543120x + 373536x + 53568x + 3456
+--R Type: Fraction(Polynomial(Integer))
+--E 486
+
+--S 487 of 500
+r0:=343/18/(2+3*x)^6+1617/5/(2+3*x)^5+3927/(2+3*x)^4+42878/(2+3*x)^3+_
+ 953535/2/(2+3*x)^2+6618975/(2+3*x)+(-166375/2)/(3+5*x)^2+_
+ 3584625/(3+5*x)-43848750*log(2+3*x)+43848750*log(3+5*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R 71922912187500x + 373999143375000x + 850608308137500x
+--R +
+--R 5 4 3
+--R 1105162141050000x + 897171734250000x + 465989436000000x
+--R +
+--R 2
+--R 151225569000000x + 28035136800000x + 2273119200000
+--R *
+--R log(5x + 3)
+--R +
+--R 8 7 6
+--R - 71922912187500x - 373999143375000x - 850608308137500x
+--R +
+--R 5 4 3
+--R - 1105162141050000x - 897171734250000x - 465989436000000x
+--R +
+--R 2
+--R - 151225569000000x - 28035136800000x - 2273119200000
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R 4794860812500x + 21896531043750x + 42841193422500x + 46551705341625x
+--R +
+--R 3 2
+--R 30340145968110x + 11860532030465x + 2574943269792x + 239497011063
+--R /
+--R 8 7 6 5 4 3
+--R 1640250x + 8529300x + 19398690x + 25203960x + 20460600x + 10627200x
+--R +
+--R 2
+--R 3448800x + 639360x + 51840
+--R Type: Expression(Integer)
+--E 487
+
+--S 488 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R 71922912187500x + 373999143375000x + 850608308137500x
+--R +
+--R 5 4 3
+--R 1105162141050000x + 897171734250000x + 465989436000000x
+--R +
+--R 2
+--R 151225569000000x + 28035136800000x + 2273119200000
+--R *
+--R log(5x + 3)
+--R +
+--R 8 7 6
+--R - 71922912187500x - 373999143375000x - 850608308137500x
+--R +
+--R 5 4 3
+--R - 1105162141050000x - 897171734250000x - 465989436000000x
+--R +
+--R 2
+--R - 151225569000000x - 28035136800000x - 2273119200000
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R 4794860812500x + 21896531043750x + 42841193422500x + 46551705341625x
+--R +
+--R 3 2
+--R 30340145968110x + 11860532030465x + 2574943269792x + 239497011063
+--R /
+--R 8 7 6 5 4 3
+--R 1640250x + 8529300x + 19398690x + 25203960x + 20460600x + 10627200x
+--R +
+--R 2
+--R 3448800x + 639360x + 51840
+--R Type: Union(Expression(Integer),...)
+--E 488
+
+--S 489 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 489
+
+--S 490 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 490
+
+)clear all
+
+--S 491 of 500
+t0:=(1-2*x)^3/((2+3*x)^8*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 8x + 12x - 6x + 1
+--R /
+--R 11 10 9 8 7
+--R 820125x + 5850225x + 18964935x + 36879867x + 47801664x
+--R +
+--R 6 5 4 3 2
+--R 43361136x + 28088928x + 12994080x + 4206848x + 907776x + 117504x
+--R +
+--R 6912
+--R Type: Fraction(Polynomial(Integer))
+--E 491
+
+--S 492 of 500
+r0:=49/3/(2+3*x)^7+539/2/(2+3*x)^6+15708/5/(2+3*x)^5+64317/2/(2+3*x)^4+_
+ 317845/(2+3*x)^3+6618975/2/(2+3*x)^2+43848750/(2+3*x)+_
+ (-831875/2)/(3+5*x)^2+20418750/(3+5*x)-280500000*log(2+3*x)+_
+ 280500000*log(3+5*x)
+--R
+--R
+--R (2)
+--R 9 8 7
+--R 460090125000000x + 2699195400000000x + 7036311645000000x
+--R +
+--R 6 5 4
+--R 10697265810000000x + 10452338820000000x + 6807061800000000x
+--R +
+--R 3 2
+--R 2954674800000000x + 824266080000000x + 134101440000000x
+--R +
+--R 9694080000000
+--R *
+--R log(5x + 3)
+--R +
+--R 9 8 7
+--R - 460090125000000x - 2699195400000000x - 7036311645000000x
+--R +
+--R 6 5 4
+--R - 10697265810000000x - 10452338820000000x - 6807061800000000x
+--R +
+--R 3 2
+--R - 2954674800000000x - 824266080000000x - 134101440000000x
+--R +
+--R - 9694080000000
+--R *
+--R log(3x + 2)
+--R +
+--R 8 7 6
+--R 30672675000000x + 160520332500000x + 367435926000000x
+--R +
+--R 5 4 3
+--R 480493891350000x + 392612784696000x + 205262100529200x
+--R +
+--R 2
+--R 67053019228048x + 12513316868859x + 1021373267628
+--R /
+--R 9 8 7 6 5 4
+--R 1640250x + 9622800x + 25084890x + 38136420x + 37263240x + 24267600x
+--R +
+--R 3 2
+--R 10533600x + 2938560x + 478080x + 34560
+--R Type: Expression(Integer)
+--E 492
+
+--S 493 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8 7
+--R 460090125000000x + 2699195400000000x + 7036311645000000x
+--R +
+--R 6 5 4
+--R 10697265810000000x + 10452338820000000x + 6807061800000000x
+--R +
+--R 3 2
+--R 2954674800000000x + 824266080000000x + 134101440000000x
+--R +
+--R 9694080000000
+--R *
+--R log(5x + 3)
+--R +
+--R 9 8 7
+--R - 460090125000000x - 2699195400000000x - 7036311645000000x
+--R +
+--R 6 5 4
+--R - 10697265810000000x - 10452338820000000x - 6807061800000000x
+--R +
+--R 3 2
+--R - 2954674800000000x - 824266080000000x - 134101440000000x
+--R +
+--R - 9694080000000
+--R *
+--R log(3x + 2)
+--R +
+--R 8 7 6
+--R 30672675000000x + 160520332500000x + 367435926000000x
+--R +
+--R 5 4 3
+--R 480493891350000x + 392612784696000x + 205262100529200x
+--R +
+--R 2
+--R 67053019228048x + 12513316868859x + 1021373267628
+--R /
+--R 9 8 7 6 5 4
+--R 1640250x + 9622800x + 25084890x + 38136420x + 37263240x + 24267600x
+--R +
+--R 3 2
+--R 10533600x + 2938560x + 478080x + 34560
+--R Type: Union(Expression(Integer),...)
+--E 493
+
+--S 494 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 494
+
+--S 495 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 495
+
+)clear all
+
+--S 496 of 500
+t0:=(2+3*x)^m*(3+5*x)/(1-2*x)
+--R
+--R
+--R m
+--R (- 5x - 3)(3x + 2)
+--R (1) -------------------
+--R 2x - 1
+--R Type: Expression(Integer)
+--E 496
+
+--S 497 of 500
+--r0:=-5/6*(2+3*x)^(1+m)/(1+m)+11/14*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)
+--E 497
+
+--S 498 of 500
+--a0:=integrate(t0,x)
+--E 498
+
+--S 499 of 500
+--m0:=a0-r0
+--E 499
+
+--S 500 of 500
+--d0:=D(m0,x)
+--E 500
+
+)spool
+)lisp (bye)
+
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
diff --git a/src/axiom-website/CATS/rich3f.input.pdf b/src/axiom-website/CATS/rich3f.input.pdf
new file mode 100644
index 0000000..a20d0ea
Binary files /dev/null and b/src/axiom-website/CATS/rich3f.input.pdf differ
diff --git a/src/axiom-website/CATS/rich3g.input.pamphlet b/src/axiom-website/CATS/rich3g.input.pamphlet
new file mode 100644
index 0000000..fe9418d
--- /dev/null
+++ b/src/axiom-website/CATS/rich3g.input.pamphlet
@@ -0,0 +1,6855 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input rich3g.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\verb|(a+b x)^m (c+d)^n (e+f x)^p|
+There are:
+\begin{itemize}
+\item 100 integrals in this file.
+\item 100 supplied "optimal results".
+\item 95 matching answers.
+\item 0 cases where Axiom supplied 2 results.
+\item 0 cases that Axiom failed to integrate.
+\item 5 that contain expressions Axiom does not recognize.
+\end{itemize}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f rich3g.output
+)spool rich3g.output
+)set message test on
+)set message auto off
+)clear all
+
+--S 1 of 500
+t0:=(2+3*x)^8*(3+5*x)/(1-2*x)
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4
+--R - 32805x - 194643x - 513216x - 789264x - 780192x - 514080x
+--R +
+--R 3 2
+--R - 225792x - 63744x - 10496x - 768
+--R /
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 1
+
+--S 2 of 500
+r0:=-63019595/512*x-60332619/512*x^2-17391129/128*x^3-37722699/256*x^4-_
+ 21272139/160*x^5-2929689/32*x^6-353565/8*x^7-422091/32*x^8-_
+ 3645/2*x^9-63412811/1024*log(1-2*x)
+--R
+--R
+--R (2)
+--R 9 8 7
+--R - 317064055log(- 2x + 1) - 9331200x - 67534560x - 226281600x
+--R +
+--R 6 5 4 3 2
+--R - 468750240x - 680708448x - 754453980x - 695645160x - 603326190x
+--R +
+--R - 630195950x
+--R /
+--R 5120
+--R Type: Expression(Integer)
+--E 2
+
+--S 3 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8 7
+--R - 317064055log(2x - 1) - 9331200x - 67534560x - 226281600x
+--R +
+--R 6 5 4 3 2
+--R - 468750240x - 680708448x - 754453980x - 695645160x - 603326190x
+--R +
+--R - 630195950x
+--R /
+--R 5120
+--R Type: Union(Expression(Integer),...)
+--E 3
+
+--S 4 of 500
+m0:=a0-r0
+--R
+--R
+--R - 63412811log(2x - 1) + 63412811log(- 2x + 1)
+--R (4) ---------------------------------------------
+--R 1024
+--R Type: Expression(Integer)
+--E 4
+
+--S 5 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 5
+
+)clear all
+
+--S 6 of 500
+t0:=(2+3*x)^7*(3+5*x)/(1-2*x)
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 10935x - 57591x - 132678x - 174636x - 143640x - 75600x - 24864x
+--R +
+--R - 4672x - 384
+--R /
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 6
+
+--S 7 of 500
+r0:=-8960669/256*x-8362653/256*x^2-2257119/64*x^3-4352157/128*x^4-_
+ 2053917/80*x^5-218943/16*x^6-126117/28*x^7-10935/16*x^8-_
+ 9058973/512*log(1-2*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R - 317064055log(- 2x + 1) - 12247200x - 80714880x - 245216160x
+--R +
+--R 5 4 3 2
+--R - 460077408x - 609301980x - 631993320x - 585385710x - 627246830x
+--R /
+--R 17920
+--R Type: Expression(Integer)
+--E 7
+
+--S 8 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R - 317064055log(2x - 1) - 12247200x - 80714880x - 245216160x
+--R +
+--R 5 4 3 2
+--R - 460077408x - 609301980x - 631993320x - 585385710x - 627246830x
+--R /
+--R 17920
+--R Type: Union(Expression(Integer),...)
+--E 8
+
+--S 9 of 500
+m0:=a0-r0
+--R
+--R
+--R - 9058973log(2x - 1) + 9058973log(- 2x + 1)
+--R (4) -------------------------------------------
+--R 512
+--R Type: Expression(Integer)
+--E 9
+
+--S 10 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 10
+
+)clear all
+
+--S 11 of 500
+t0:=(2+3*x)^6*(3+5*x)/(1-2*x)
+--R
+--R
+--R (1)
+--R 7 6 5 4 3 2
+--R - 3645x - 16767x - 33048x - 36180x - 23760x - 9360x - 2048x - 192
+--R -----------------------------------------------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 11
+
+--S 12 of 500
+r0:=-1269563/128*x-1138491/128*x^2-279657/32*x^3-458811/64*x^4-_
+ 169371/40*x^5-12393/8*x^6-3645/14*x^7-1294139/256*log(1-2*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R - 45294865log(- 2x + 1) - 2332800x - 13880160x - 37939104x
+--R +
+--R 4 3 2
+--R - 64233540x - 78303960x - 79694370x - 88869410x
+--R /
+--R 8960
+--R Type: Expression(Integer)
+--E 12
+
+--S 13 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R - 45294865log(2x - 1) - 2332800x - 13880160x - 37939104x - 64233540x
+--R +
+--R 3 2
+--R - 78303960x - 79694370x - 88869410x
+--R /
+--R 8960
+--R Type: Union(Expression(Integer),...)
+--E 13
+
+--S 14 of 500
+m0:=a0-r0
+--R
+--R
+--R - 1294139log(2x - 1) + 1294139log(- 2x + 1)
+--R (4) -------------------------------------------
+--R 256
+--R Type: Expression(Integer)
+--E 14
+
+--S 15 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 15
+
+)clear all
+
+--S 16 of 500
+t0:=(2+3*x)^5*(3+5*x)/(1-2*x)
+--R
+--R
+--R 6 5 4 3 2
+--R - 1215x - 4779x - 7830x - 6840x - 3360x - 880x - 96
+--R (1) --------------------------------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 16
+
+--S 17 of 500
+r0:=-178733/64*x-150573/64*x^2-32271/16*x^3-42093/32*x^4-10773/20*x^5-_
+ 405/4*x^6-184877/128*log(1-2*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R - 924385log(- 2x + 1) - 64800x - 344736x - 841860x - 1290840x
+--R +
+--R 2
+--R - 1505730x - 1787330x
+--R /
+--R 640
+--R Type: Expression(Integer)
+--E 17
+
+--S 18 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R - 924385log(2x - 1) - 64800x - 344736x - 841860x - 1290840x
+--R +
+--R 2
+--R - 1505730x - 1787330x
+--R /
+--R 640
+--R Type: Union(Expression(Integer),...)
+--E 18
+
+--S 19 of 500
+m0:=a0-r0
+--R
+--R
+--R - 184877log(2x - 1) + 184877log(- 2x + 1)
+--R (4) -----------------------------------------
+--R 128
+--R Type: Expression(Integer)
+--E 19
+
+--S 20 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 20
+
+)clear all
+
+--S 21 of 500
+t0:=(2+3*x)^4*(3+5*x)/(1-2*x)
+--R
+--R
+--R 5 4 3 2
+--R - 405x - 1323x - 1728x - 1128x - 368x - 48
+--R (1) ----------------------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 21
+
+--S 22 of 500
+r0:=-24875/32*x-18987/32*x^2-3321/8*x^3-3051/16*x^4-81/2*x^5-_
+ 26411/64*log(1-2*x)
+--R
+--R
+--R 5 4 3 2
+--R - 26411log(- 2x + 1) - 2592x - 12204x - 26568x - 37974x - 49750x
+--R (2) --------------------------------------------------------------------
+--R 64
+--R Type: Expression(Integer)
+--E 22
+
+--S 23 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 3 2
+--R - 26411log(2x - 1) - 2592x - 12204x - 26568x - 37974x - 49750x
+--R (3) ------------------------------------------------------------------
+--R 64
+--R Type: Union(Expression(Integer),...)
+--E 23
+
+--S 24 of 500
+m0:=a0-r0
+--R
+--R
+--R - 26411log(2x - 1) + 26411log(- 2x + 1)
+--R (4) ---------------------------------------
+--R 64
+--R Type: Expression(Integer)
+--E 24
+
+--S 25 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 25
+
+)clear all
+
+--S 26 of 500
+t0:=(2+3*x)^3*(3+5*x)/(1-2*x)
+--R
+--R
+--R 4 3 2
+--R - 135x - 351x - 342x - 148x - 24
+--R (1) -----------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 26
+
+--S 27 of 500
+r0:=-3389/16*x-2205/16*x^2-279/4*x^3-135/8*x^4-3773/32*log(1-2*x)
+--R
+--R
+--R 4 3 2
+--R - 3773log(- 2x + 1) - 540x - 2232x - 4410x - 6778x
+--R (2) -----------------------------------------------------
+--R 32
+--R Type: Expression(Integer)
+--E 27
+
+--S 28 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R - 3773log(2x - 1) - 540x - 2232x - 4410x - 6778x
+--R (3) ---------------------------------------------------
+--R 32
+--R Type: Union(Expression(Integer),...)
+--E 28
+
+--S 29 of 500
+m0:=a0-r0
+--R
+--R
+--R - 3773log(2x - 1) + 3773log(- 2x + 1)
+--R (4) -------------------------------------
+--R 32
+--R Type: Expression(Integer)
+--E 29
+
+--S 30 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 30
+
+)clear all
+
+--S 31 of 500
+t0:=(2+3*x)^2*(3+5*x)/(1-2*x)
+--R
+--R
+--R 3 2
+--R - 45x - 87x - 56x - 12
+--R (1) ------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 31
+
+--S 32 of 500
+r0:=-443/8*x-219/8*x^2-15/2*x^3-539/16*log(1-2*x)
+--R
+--R
+--R 3 2
+--R - 539log(- 2x + 1) - 120x - 438x - 886x
+--R (2) -----------------------------------------
+--R 16
+--R Type: Expression(Integer)
+--E 32
+
+--S 33 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R - 539log(2x - 1) - 120x - 438x - 886x
+--R (3) ---------------------------------------
+--R 16
+--R Type: Union(Expression(Integer),...)
+--E 33
+
+--S 34 of 500
+m0:=a0-r0
+--R
+--R
+--R - 539log(2x - 1) + 539log(- 2x + 1)
+--R (4) -----------------------------------
+--R 16
+--R Type: Expression(Integer)
+--E 34
+
+--S 35 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 35
+
+)clear all
+
+--S 36 of 500
+t0:=(2+3*x)*(3+5*x)/(1-2*x)
+--R
+--R
+--R 2
+--R - 15x - 19x - 6
+--R (1) ----------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 36
+
+--S 37 of 500
+r0:=-53/4*x-15/4*x^2-77/8*log(1-2*x)
+--R
+--R
+--R 2
+--R - 77log(- 2x + 1) - 30x - 106x
+--R (2) -------------------------------
+--R 8
+--R Type: Expression(Integer)
+--E 37
+
+--S 38 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R - 77log(2x - 1) - 30x - 106x
+--R (3) -----------------------------
+--R 8
+--R Type: Union(Expression(Integer),...)
+--E 38
+
+--S 39 of 500
+m0:=a0-r0
+--R
+--R
+--R - 77log(2x - 1) + 77log(- 2x + 1)
+--R (4) ---------------------------------
+--R 8
+--R Type: Expression(Integer)
+--E 39
+
+--S 40 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 40
+
+)clear all
+
+--S 41 of 500
+t0:=(3+5*x)/(1-2*x)
+--R
+--R
+--R - 5x - 3
+--R (1) --------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 41
+
+--S 42 of 500
+r0:=-5/2*x-11/4*log(1-2*x)
+--R
+--R
+--R - 11log(- 2x + 1) - 10x
+--R (2) -----------------------
+--R 4
+--R Type: Expression(Integer)
+--E 42
+
+--S 43 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R - 11log(2x - 1) - 10x
+--R (3) ---------------------
+--R 4
+--R Type: Union(Expression(Integer),...)
+--E 43
+
+--S 44 of 500
+m0:=a0-r0
+--R
+--R
+--R - 11log(2x - 1) + 11log(- 2x + 1)
+--R (4) ---------------------------------
+--R 4
+--R Type: Expression(Integer)
+--E 44
+
+--S 45 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 45
+
+)clear all
+
+--S 46 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x))
+--R
+--R
+--R - 5x - 3
+--R (1) -----------
+--R 2
+--R 6x + x - 2
+--R Type: Fraction(Polynomial(Integer))
+--E 46
+
+--S 47 of 500
+r0:=-11/14*log(1-2*x)-1/21*log(2+3*x)
+--R
+--R
+--R - 2log(3x + 2) - 33log(- 2x + 1)
+--R (2) --------------------------------
+--R 42
+--R Type: Expression(Integer)
+--E 47
+
+--S 48 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R - 2log(3x + 2) - 33log(2x - 1)
+--R (3) ------------------------------
+--R 42
+--R Type: Union(Expression(Integer),...)
+--E 48
+
+--S 49 of 500
+m0:=a0-r0
+--R
+--R
+--R - 11log(2x - 1) + 11log(- 2x + 1)
+--R (4) ---------------------------------
+--R 14
+--R Type: Expression(Integer)
+--E 49
+
+--S 50 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 50
+
+)clear all
+
+--S 51 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^2)
+--R
+--R
+--R - 5x - 3
+--R (1) --------------------
+--R 3 2
+--R 18x + 15x - 4x - 4
+--R Type: Fraction(Polynomial(Integer))
+--E 51
+
+--S 52 of 500
+r0:=1/21/(2+3*x)-11/49*log(1-2*x)+11/49*log(2+3*x)
+--R
+--R
+--R (99x + 66)log(3x + 2) + (- 99x - 66)log(- 2x + 1) + 7
+--R (2) -----------------------------------------------------
+--R 441x + 294
+--R Type: Expression(Integer)
+--E 52
+
+--S 53 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (99x + 66)log(3x + 2) + (- 99x - 66)log(2x - 1) + 7
+--R (3) ---------------------------------------------------
+--R 441x + 294
+--R Type: Union(Expression(Integer),...)
+--E 53
+
+--S 54 of 500
+m0:=a0-r0
+--R
+--R
+--R - 11log(2x - 1) + 11log(- 2x + 1)
+--R (4) ---------------------------------
+--R 49
+--R Type: Expression(Integer)
+--E 54
+
+--S 55 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 55
+
+)clear all
+
+--S 56 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^3)
+--R
+--R
+--R - 5x - 3
+--R (1) ----------------------------
+--R 4 3 2
+--R 54x + 81x + 18x - 20x - 8
+--R Type: Fraction(Polynomial(Integer))
+--E 56
+
+--S 57 of 500
+r0:=1/42/(2+3*x)^2+(-11/49)/(2+3*x)-22/343*log(1-2*x)+22/343*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2 2
+--R (1188x + 1584x + 528)log(3x + 2) + (- 1188x - 1584x - 528)log(- 2x + 1)
+--R +
+--R - 1386x - 875
+--R /
+--R 2
+--R 18522x + 24696x + 8232
+--R Type: Expression(Integer)
+--E 57
+
+--S 58 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2 2
+--R (1188x + 1584x + 528)log(3x + 2) + (- 1188x - 1584x - 528)log(2x - 1)
+--R +
+--R - 1386x - 875
+--R /
+--R 2
+--R 18522x + 24696x + 8232
+--R Type: Union(Expression(Integer),...)
+--E 58
+
+--S 59 of 500
+m0:=a0-r0
+--R
+--R
+--R - 22log(2x - 1) + 22log(- 2x + 1)
+--R (4) ---------------------------------
+--R 343
+--R Type: Expression(Integer)
+--E 59
+
+--S 60 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 60
+
+)clear all
+
+--S 61 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^4)
+--R
+--R
+--R - 5x - 3
+--R (1) ---------------------------------------
+--R 5 4 3 2
+--R 162x + 351x + 216x - 24x - 64x - 16
+--R Type: Fraction(Polynomial(Integer))
+--E 61
+
+--S 62 of 500
+r0:=1/63/(2+3*x)^3+(-11/98)/(2+3*x)^2+(-22/343)/(2+3*x)-_
+ 44/2401*log(1-2*x)+44/2401*log(2+3*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (21384x + 42768x + 28512x + 6336)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 21384x - 42768x - 28512x - 6336)log(- 2x + 1) - 24948x - 47817x
+--R +
+--R - 20104
+--R /
+--R 3 2
+--R 1166886x + 2333772x + 1555848x + 345744
+--R Type: Expression(Integer)
+--E 62
+
+--S 63 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (21384x + 42768x + 28512x + 6336)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 21384x - 42768x - 28512x - 6336)log(2x - 1) - 24948x - 47817x - 20104
+--R /
+--R 3 2
+--R 1166886x + 2333772x + 1555848x + 345744
+--R Type: Union(Expression(Integer),...)
+--E 63
+
+--S 64 of 500
+m0:=a0-r0
+--R
+--R
+--R - 44log(2x - 1) + 44log(- 2x + 1)
+--R (4) ---------------------------------
+--R 2401
+--R Type: Expression(Integer)
+--E 64
+
+--S 65 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 65
+
+)clear all
+
+--S 66 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^5)
+--R
+--R
+--R - 5x - 3
+--R (1) ---------------------------------------------------
+--R 6 5 4 3 2
+--R 486x + 1377x + 1350x + 360x - 240x - 176x - 32
+--R Type: Fraction(Polynomial(Integer))
+--E 66
+
+--S 67 of 500
+r0:=1/84/(2+3*x)^4+(-11/147)/(2+3*x)^3+(-11/343)/(2+3*x)^2+_
+ (-44/2401)/(2+3*x)-88/16807*log(1-2*x)+88/16807*log(2+3*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (28512x + 76032x + 76032x + 33792x + 5632)log(3x + 2)
+--R +
+--R 4 3 2 3
+--R (- 28512x - 76032x - 76032x - 33792x - 5632)log(- 2x + 1) - 33264x
+--R +
+--R 2
+--R - 85932x - 85316x - 27741
+--R /
+--R 4 3 2
+--R 5445468x + 14521248x + 14521248x + 6453888x + 1075648
+--R Type: Expression(Integer)
+--E 67
+
+--S 68 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (28512x + 76032x + 76032x + 33792x + 5632)log(3x + 2)
+--R +
+--R 4 3 2 3
+--R (- 28512x - 76032x - 76032x - 33792x - 5632)log(2x - 1) - 33264x
+--R +
+--R 2
+--R - 85932x - 85316x - 27741
+--R /
+--R 4 3 2
+--R 5445468x + 14521248x + 14521248x + 6453888x + 1075648
+--R Type: Union(Expression(Integer),...)
+--E 68
+
+--S 69 of 500
+m0:=a0-r0
+--R
+--R
+--R - 88log(2x - 1) + 88log(- 2x + 1)
+--R (4) ---------------------------------
+--R 16807
+--R Type: Expression(Integer)
+--E 69
+
+--S 70 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 70
+
+)clear all
+
+--S 71 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^6)
+--R
+--R
+--R - 5x - 3
+--R (1) ------------------------------------------------------
+--R 7 6 5 4 2
+--R 1458x + 5103x + 6804x + 3780x - 1008x - 448x - 64
+--R Type: Fraction(Polynomial(Integer))
+--E 71
+
+--S 72 of 500
+r0:=1/105/(2+3*x)^5+(-11/196)/(2+3*x)^4+(-22/1029)/(2+3*x)^3+_
+ (-22/2401)/(2+3*x)^2+(-88/16807)/(2+3*x)-176/117649*log(1-2*x)+_
+ 176/117649*log(2+3*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R (2566080x + 8553600x + 11404800x + 7603200x + 2534400x + 337920)
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R (- 2566080x - 8553600x - 11404800x - 7603200x - 2534400x - 337920)
+--R *
+--R log(- 2x + 1)
+--R +
+--R 4 3 2
+--R - 2993760x - 9729720x - 12834360x - 8876175x - 2437582
+--R /
+--R 5 4 3 2
+--R 1715322420x + 5717741400x + 7623655200x + 5082436800x + 1694145600x
+--R +
+--R 225886080
+--R Type: Expression(Integer)
+--E 72
+
+--S 73 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R (2566080x + 8553600x + 11404800x + 7603200x + 2534400x + 337920)
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R (- 2566080x - 8553600x - 11404800x - 7603200x - 2534400x - 337920)
+--R *
+--R log(2x - 1)
+--R +
+--R 4 3 2
+--R - 2993760x - 9729720x - 12834360x - 8876175x - 2437582
+--R /
+--R 5 4 3 2
+--R 1715322420x + 5717741400x + 7623655200x + 5082436800x + 1694145600x
+--R +
+--R 225886080
+--R Type: Union(Expression(Integer),...)
+--E 73
+
+--S 74 of 500
+m0:=a0-r0
+--R
+--R
+--R - 176log(2x - 1) + 176log(- 2x + 1)
+--R (4) -----------------------------------
+--R 117649
+--R Type: Expression(Integer)
+--E 74
+
+--S 75 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 75
+
+)clear all
+
+--S 76 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^7)
+--R
+--R
+--R (1)
+--R - 5x - 3
+--R -----------------------------------------------------------------------------
+--R 8 7 6 5 4 3 2
+--R 4374x + 18225x + 30618x + 24948x + 7560x - 3024x - 3360x - 1088x - 128
+--R Type: Fraction(Polynomial(Integer))
+--E 76
+
+--S 77 of 500
+r0:=1/126/(2+3*x)^6+(-11/245)/(2+3*x)^5+(-11/686)/(2+3*x)^4+_
+ (-44/7203)/(2+3*x)^3+(-44/16807)/(2+3*x)^2+(-176/117649)/(2+3*x)-_
+ 352/823543*log(1-2*x)+352/823543*log(2+3*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3 2
+--R 23094720x + 92378880x + 153964800x + 136857600x + 68428800x
+--R +
+--R 18247680x + 2027520
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 23094720x - 92378880x - 153964800x - 136857600x - 68428800x
+--R +
+--R - 18247680x - 2027520
+--R *
+--R log(- 2x + 1)
+--R +
+--R 5 4 3 2
+--R - 26943840x - 105530040x - 173887560x - 156891735x - 85783698x
+--R +
+--R - 21096187
+--R /
+--R 6 5 4 3
+--R 54032656230x + 216130624920x + 360217708200x + 320193518400x
+--R +
+--R 2
+--R 160096759200x + 42692469120x + 4743607680
+--R Type: Expression(Integer)
+--E 77
+
+--S 78 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3 2
+--R 23094720x + 92378880x + 153964800x + 136857600x + 68428800x
+--R +
+--R 18247680x + 2027520
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 23094720x - 92378880x - 153964800x - 136857600x - 68428800x
+--R +
+--R - 18247680x - 2027520
+--R *
+--R log(2x - 1)
+--R +
+--R 5 4 3 2
+--R - 26943840x - 105530040x - 173887560x - 156891735x - 85783698x
+--R +
+--R - 21096187
+--R /
+--R 6 5 4 3
+--R 54032656230x + 216130624920x + 360217708200x + 320193518400x
+--R +
+--R 2
+--R 160096759200x + 42692469120x + 4743607680
+--R Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 500
+m0:=a0-r0
+--R
+--R
+--R - 352log(2x - 1) + 352log(- 2x + 1)
+--R (4) -----------------------------------
+--R 823543
+--R Type: Expression(Integer)
+--E 79
+
+--S 80 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 80
+
+)clear all
+
+--S 81 of 500
+t0:=(3+5*x)/((1-2*x)*(2+3*x)^8)
+--R
+--R
+--R (1)
+--R - 5x - 3
+--R /
+--R 9 8 7 6 5 4 3
+--R 13122x + 63423x + 128304x + 136080x + 72576x + 6048x - 16128x
+--R +
+--R 2
+--R - 9984x - 2560x - 256
+--R Type: Fraction(Polynomial(Integer))
+--E 81
+
+--S 82 of 500
+r0:=1/147/(2+3*x)^7+(-11/294)/(2+3*x)^6+(-22/1715)/(2+3*x)^5+_
+ (-11/2401)/(2+3*x)^4+(-88/50421)/(2+3*x)^3+(-88/117649)/(2+3*x)^2+_
+ (-352/823543)/(2+3*x)-704/5764801*log(1-2*x)+704/5764801*log(2+3*x)
+--R
+--R
+--R (2)
+--R 7 6 5 4 3
+--R 46189440x + 215550720x + 431101440x + 479001600x + 319334400x
+--R +
+--R 2
+--R 127733760x + 28385280x + 2703360
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4 3
+--R - 46189440x - 215550720x - 431101440x - 479001600x - 319334400x
+--R +
+--R 2
+--R - 127733760x - 28385280x - 2703360
+--R *
+--R log(- 2x + 1)
+--R +
+--R 6 5 4 3 2
+--R - 53887680x - 246985200x - 488481840x - 545633550x - 380756376x
+--R +
+--R - 177159213x - 40677476
+--R /
+--R 7 6 5 4
+--R 378228593610x + 1765066770180x + 3530133540360x + 3922370600400x
+--R +
+--R 3 2
+--R 2614913733600x + 1045965493440x + 232436776320x + 22136835840
+--R Type: Expression(Integer)
+--E 82
+
+--S 83 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4 3
+--R 46189440x + 215550720x + 431101440x + 479001600x + 319334400x
+--R +
+--R 2
+--R 127733760x + 28385280x + 2703360
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4 3
+--R - 46189440x - 215550720x - 431101440x - 479001600x - 319334400x
+--R +
+--R 2
+--R - 127733760x - 28385280x - 2703360
+--R *
+--R log(2x - 1)
+--R +
+--R 6 5 4 3 2
+--R - 53887680x - 246985200x - 488481840x - 545633550x - 380756376x
+--R +
+--R - 177159213x - 40677476
+--R /
+--R 7 6 5 4
+--R 378228593610x + 1765066770180x + 3530133540360x + 3922370600400x
+--R +
+--R 3 2
+--R 2614913733600x + 1045965493440x + 232436776320x + 22136835840
+--R Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 500
+m0:=a0-r0
+--R
+--R
+--R - 704log(2x - 1) + 704log(- 2x + 1)
+--R (4) -----------------------------------
+--R 5764801
+--R Type: Expression(Integer)
+--E 84
+
+--S 85 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 85
+
+)clear all
+
+--S 86 of 500
+t0:=(2+3*x)^m*(3+5*x)^2/(1-2*x)
+--R
+--R
+--R 2 m
+--R (- 25x - 30x - 9)(3x + 2)
+--R (1) ---------------------------
+--R 2x - 1
+--R Type: Expression(Integer)
+--E 86
+
+--S 87 of 500
+--r0:=-5/36*(64+33*m)*(2+3*x)^(1+m)/((1+m)*(2+m))-_
+-- 5/6*(2+3*x)^(1+m)*(3+5*x)/(2+m)+121/28*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)
+--E 87
+
+--S 88 of 500
+--a0:=integrate(t0,x)
+--E 88
+
+--S 89 of 500
+--m0:=a0-r0
+--E 89
+
+--S 90 of 500
+--d0:=D(m0,x)
+--E 90
+
+)clear all
+
+--S 91 of 500
+t0:=(2+3*x)^8*(3+5*x)^2/(1-2*x)
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5
+--R - 164025x - 1071630x - 3150009x - 5485968x - 6268752x - 4910976x
+--R +
+--R 4 3 2
+--R - 2671200x - 996096x - 243712x - 35328x - 2304
+--R /
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 91
+
+--S 92 of 500
+r0:=-695181625/1024*x-677093689/1024*x^2-204901139/256*x^3-_
+ 487203129/512*x^4-316246329/320*x^5-53031699/64*x^6-8399295/16*x^7-_
+ 14907321/64*x^8-256365/4*x^9-32805/4*x^10-697540921/2048*log(1-2*x)
+--R
+--R
+--R (2)
+--R 10 9 8
+--R - 3487704605log(- 2x + 1) - 83980800x - 656294400x - 2385171360x
+--R +
+--R 7 6 5 4
+--R - 5375548800x - 8485071840x - 10119882528x - 9744062580x
+--R +
+--R 3 2
+--R - 8196045560x - 6770936890x - 6951816250x
+--R /
+--R 10240
+--R Type: Expression(Integer)
+--E 92
+
+--S 93 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 8
+--R - 3487704605log(2x - 1) - 83980800x - 656294400x - 2385171360x
+--R +
+--R 7 6 5 4
+--R - 5375548800x - 8485071840x - 10119882528x - 9744062580x
+--R +
+--R 3 2
+--R - 8196045560x - 6770936890x - 6951816250x
+--R /
+--R 10240
+--R Type: Union(Expression(Integer),...)
+--E 93
+
+--S 94 of 500
+m0:=a0-r0
+--R
+--R
+--R - 697540921log(2x - 1) + 697540921log(- 2x + 1)
+--R (4) -----------------------------------------------
+--R 2048
+--R Type: Expression(Integer)
+--E 94
+
+--S 95 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 95
+
+)clear all
+
+--S 96 of 500
+t0:=(2+3*x)^7*(3+5*x)^2/(1-2*x)
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4
+--R - 54675x - 320760x - 836163x - 1271214x - 1242108x - 808920x
+--R +
+--R 3 2
+--R - 351120x - 97952x - 15936x - 1152
+--R /
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 96
+
+--S 97 of 500
+r0:=-99058879/512*x-94979263/512*x^2-27480469/128*x^3-59969727/256*x^4-_
+ 34084287/160*x^5-4736853/32*x^6-4040847/56*x^7-696195/32*x^8-_
+ 6075/2*x^9-99648703/1024*log(1-2*x)
+--R
+--R
+--R (2)
+--R 9 8 7
+--R - 3487704605log(- 2x + 1) - 108864000x - 779738400x - 2586142080x
+--R +
+--R 6 5 4 3
+--R - 5305275360x - 7634880288x - 8395761780x - 7694531320x
+--R +
+--R 2
+--R - 6648548410x - 6934121530x
+--R /
+--R 35840
+--R Type: Expression(Integer)
+--E 97
+
+--S 98 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8 7
+--R - 3487704605log(2x - 1) - 108864000x - 779738400x - 2586142080x
+--R +
+--R 6 5 4 3
+--R - 5305275360x - 7634880288x - 8395761780x - 7694531320x
+--R +
+--R 2
+--R - 6648548410x - 6934121530x
+--R /
+--R 35840
+--R Type: Union(Expression(Integer),...)
+--E 98
+
+--S 99 of 500
+m0:=a0-r0
+--R
+--R
+--R - 99648703log(2x - 1) + 99648703log(- 2x + 1)
+--R (4) ---------------------------------------------
+--R 1024
+--R Type: Expression(Integer)
+--E 99
+
+--S 100 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 100
+
+)clear all
+
+--S 101 of 500
+t0:=(2+3*x)^6*(3+5*x)^2/(1-2*x)
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 18225x - 94770x - 215541x - 280044x - 227340x - 118080x - 38320x
+--R +
+--R - 7104x - 576
+--R /
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 101
+
+--S 102 of 500
+r0:=-14088073/256*x-13178761/256*x^2-3575427/64*x^3-6947721/128*x^4-_
+ 3310281/80*x^5-356643/16*x^6-207765/28*x^7-18225/16*x^8-_
+ 14235529/512*log(1-2*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R - 498243515log(- 2x + 1) - 20412000x - 132969600x - 399440160x
+--R +
+--R 5 4 3 2
+--R - 741502944x - 972680940x - 1001119560x - 922513270x - 986165110x
+--R /
+--R 17920
+--R Type: Expression(Integer)
+--E 102
+
+--S 103 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R - 498243515log(2x - 1) - 20412000x - 132969600x - 399440160x
+--R +
+--R 5 4 3 2
+--R - 741502944x - 972680940x - 1001119560x - 922513270x - 986165110x
+--R /
+--R 17920
+--R Type: Union(Expression(Integer),...)
+--E 103
+
+--S 104 of 500
+m0:=a0-r0
+--R
+--R
+--R - 14235529log(2x - 1) + 14235529log(- 2x + 1)
+--R (4) ---------------------------------------------
+--R 512
+--R Type: Expression(Integer)
+--E 104
+
+--S 105 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 105
+
+)clear all
+
+--S 106 of 500
+t0:=(2+3*x)^5*(3+5*x)^2/(1-2*x)
+--R
+--R
+--R (1)
+--R 7 6 5 4 3 2
+--R - 6075x - 27540x - 53487x - 57690x - 37320x - 14480x - 3120x - 288
+--R ------------------------------------------------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 106
+
+--S 107 of 500
+r0:=-1996783/128*x-1797103/128*x^2-444581/32*x^3-736623/64*x^4-_
+ 275103/40*x^5-20385/8*x^6-6075/14*x^7-2033647/256*log(1-2*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R - 71177645log(- 2x + 1) - 3888000x - 22831200x - 61623072x
+--R +
+--R 4 3 2
+--R - 103127220x - 124482680x - 125797210x - 139774810x
+--R /
+--R 8960
+--R Type: Expression(Integer)
+--E 107
+
+--S 108 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R - 71177645log(2x - 1) - 3888000x - 22831200x - 61623072x - 103127220x
+--R +
+--R 3 2
+--R - 124482680x - 125797210x - 139774810x
+--R /
+--R 8960
+--R Type: Union(Expression(Integer),...)
+--E 108
+
+--S 109 of 500
+m0:=a0-r0
+--R
+--R
+--R - 2033647log(2x - 1) + 2033647log(- 2x + 1)
+--R (4) -------------------------------------------
+--R 256
+--R Type: Expression(Integer)
+--E 109
+
+--S 110 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 110
+
+)clear all
+
+--S 111 of 500
+t0:=(2+3*x)^4*(3+5*x)^2/(1-2*x)
+--R
+--R
+--R 6 5 4 3 2
+--R - 2025x - 7830x - 12609x - 10824x - 5224x - 1344x - 144
+--R (1) ------------------------------------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 111
+
+--S 112 of 500
+r0:=-281305/64*x-238297/64*x^2-51571/16*x^3-68121/32*x^4-3537/4*x^5-_
+ 675/4*x^6-290521/128*log(1-2*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R - 290521log(- 2x + 1) - 21600x - 113184x - 272484x - 412568x
+--R +
+--R 2
+--R - 476594x - 562610x
+--R /
+--R 128
+--R Type: Expression(Integer)
+--E 112
+
+--S 113 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3 2
+--R - 290521log(2x - 1) - 21600x - 113184x - 272484x - 412568x - 476594x
+--R +
+--R - 562610x
+--R /
+--R 128
+--R Type: Union(Expression(Integer),...)
+--E 113
+
+--S 114 of 500
+m0:=a0-r0
+--R
+--R
+--R - 290521log(2x - 1) + 290521log(- 2x + 1)
+--R (4) -----------------------------------------
+--R 128
+--R Type: Expression(Integer)
+--E 114
+
+--S 115 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 115
+
+)clear all
+
+--S 116 of 500
+t0:=(2+3*x)^3*(3+5*x)^2/(1-2*x)
+--R
+--R
+--R 5 4 3 2
+--R - 675x - 2160x - 2763x - 1766x - 564x - 72
+--R (1) ----------------------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 116
+
+--S 117 of 500
+r0:=-39199/32*x-30175/32*x^2-5349/8*x^3-4995/16*x^4-135/2*x^5-_
+ 41503/64*log(1-2*x)
+--R
+--R
+--R 5 4 3 2
+--R - 41503log(- 2x + 1) - 4320x - 19980x - 42792x - 60350x - 78398x
+--R (2) --------------------------------------------------------------------
+--R 64
+--R Type: Expression(Integer)
+--E 117
+
+--S 118 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 5 4 3 2
+--R - 41503log(2x - 1) - 4320x - 19980x - 42792x - 60350x - 78398x
+--R (3) ------------------------------------------------------------------
+--R 64
+--R Type: Union(Expression(Integer),...)
+--E 118
+
+--S 119 of 500
+m0:=a0-r0
+--R
+--R
+--R - 41503log(2x - 1) + 41503log(- 2x + 1)
+--R (4) ---------------------------------------
+--R 64
+--R Type: Expression(Integer)
+--E 119
+
+--S 120 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 120
+
+)clear all
+
+--S 121 of 500
+t0:=(2+3*x)^2*(3+5*x)^2/(1-2*x)
+--R
+--R
+--R 4 3 2
+--R - 225x - 570x - 541x - 228x - 36
+--R (1) -----------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 121
+
+--S 122 of 500
+r0:=-5353/16*x-3529/16*x^2-455/4*x^3-225/8*x^4-5929/32*log(1-2*x)
+--R
+--R
+--R 4 3 2
+--R - 5929log(- 2x + 1) - 900x - 3640x - 7058x - 10706x
+--R (2) ------------------------------------------------------
+--R 32
+--R Type: Expression(Integer)
+--E 122
+
+--S 123 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R - 5929log(2x - 1) - 900x - 3640x - 7058x - 10706x
+--R (3) ----------------------------------------------------
+--R 32
+--R Type: Union(Expression(Integer),...)
+--E 123
+
+--S 124 of 500
+m0:=a0-r0
+--R
+--R
+--R - 5929log(2x - 1) + 5929log(- 2x + 1)
+--R (4) -------------------------------------
+--R 32
+--R Type: Expression(Integer)
+--E 124
+
+--S 125 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 125
+
+)clear all
+
+--S 126 of 500
+t0:=(2+3*x)*(3+5*x)^2/(1-2*x)
+--R
+--R
+--R 3 2
+--R - 75x - 140x - 87x - 18
+--R (1) -------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 126
+
+--S 127 of 500
+r0:=-703/8*x-355/8*x^2-25/2*x^3-847/16*log(1-2*x)
+--R
+--R
+--R 3 2
+--R - 847log(- 2x + 1) - 200x - 710x - 1406x
+--R (2) ------------------------------------------
+--R 16
+--R Type: Expression(Integer)
+--E 127
+
+--S 128 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R - 847log(2x - 1) - 200x - 710x - 1406x
+--R (3) ----------------------------------------
+--R 16
+--R Type: Union(Expression(Integer),...)
+--E 128
+
+--S 129 of 500
+m0:=a0-r0
+--R
+--R
+--R - 847log(2x - 1) + 847log(- 2x + 1)
+--R (4) -----------------------------------
+--R 16
+--R Type: Expression(Integer)
+--E 129
+
+--S 130 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 130
+
+)clear all
+
+--S 131 of 500
+t0:=(3+5*x)^2/(1-2*x)
+--R
+--R
+--R 2
+--R - 25x - 30x - 9
+--R (1) ----------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 131
+
+--S 132 of 500
+r0:=-85/4*x-25/4*x^2-121/8*log(1-2*x)
+--R
+--R
+--R 2
+--R - 121log(- 2x + 1) - 50x - 170x
+--R (2) --------------------------------
+--R 8
+--R Type: Expression(Integer)
+--E 132
+
+--S 133 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R - 121log(2x - 1) - 50x - 170x
+--R (3) ------------------------------
+--R 8
+--R Type: Union(Expression(Integer),...)
+--E 133
+
+--S 134 of 500
+m0:=a0-r0
+--R
+--R
+--R - 121log(2x - 1) + 121log(- 2x + 1)
+--R (4) -----------------------------------
+--R 8
+--R Type: Expression(Integer)
+--E 134
+
+--S 135 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 135
+
+)clear all
+
+--S 136 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x))
+--R
+--R
+--R 2
+--R - 25x - 30x - 9
+--R (1) ----------------
+--R 2
+--R 6x + x - 2
+--R Type: Fraction(Polynomial(Integer))
+--E 136
+
+--S 137 of 500
+r0:=-25/6*x-121/28*log(1-2*x)+1/63*log(2+3*x)
+--R
+--R
+--R 4log(3x + 2) - 1089log(- 2x + 1) - 1050x
+--R (2) ----------------------------------------
+--R 252
+--R Type: Expression(Integer)
+--E 137
+
+--S 138 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4log(3x + 2) - 1089log(2x - 1) - 1050x
+--R (3) --------------------------------------
+--R 252
+--R Type: Union(Expression(Integer),...)
+--E 138
+
+--S 139 of 500
+m0:=a0-r0
+--R
+--R
+--R - 121log(2x - 1) + 121log(- 2x + 1)
+--R (4) -----------------------------------
+--R 28
+--R Type: Expression(Integer)
+--E 139
+
+--S 140 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 140
+
+)clear all
+
+--S 141 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^2)
+--R
+--R
+--R 2
+--R - 25x - 30x - 9
+--R (1) --------------------
+--R 3 2
+--R 18x + 15x - 4x - 4
+--R Type: Fraction(Polynomial(Integer))
+--E 141
+
+--S 142 of 500
+r0:=(-1/63)/(2+3*x)-121/98*log(1-2*x)-68/441*log(2+3*x)
+--R
+--R
+--R (- 408x - 272)log(3x + 2) + (- 3267x - 2178)log(- 2x + 1) - 14
+--R (2) --------------------------------------------------------------
+--R 2646x + 1764
+--R Type: Expression(Integer)
+--E 142
+
+--S 143 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (- 408x - 272)log(3x + 2) + (- 3267x - 2178)log(2x - 1) - 14
+--R (3) ------------------------------------------------------------
+--R 2646x + 1764
+--R Type: Union(Expression(Integer),...)
+--E 143
+
+--S 144 of 500
+m0:=a0-r0
+--R
+--R
+--R - 121log(2x - 1) + 121log(- 2x + 1)
+--R (4) -----------------------------------
+--R 98
+--R Type: Expression(Integer)
+--E 144
+
+--S 145 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 145
+
+)clear all
+
+--S 146 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^3)
+--R
+--R
+--R 2
+--R - 25x - 30x - 9
+--R (1) ----------------------------
+--R 4 3 2
+--R 54x + 81x + 18x - 20x - 8
+--R Type: Fraction(Polynomial(Integer))
+--E 146
+
+--S 147 of 500
+r0:=(-1/126)/(2+3*x)^2+68/441/(2+3*x)-121/343*log(1-2*x)+121/343*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2
+--R (19602x + 26136x + 8712)log(3x + 2)
+--R +
+--R 2
+--R (- 19602x - 26136x - 8712)log(- 2x + 1) + 2856x + 1855
+--R /
+--R 2
+--R 55566x + 74088x + 24696
+--R Type: Expression(Integer)
+--E 147
+
+--S 148 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (19602x + 26136x + 8712)log(3x + 2)
+--R +
+--R 2
+--R (- 19602x - 26136x - 8712)log(2x - 1) + 2856x + 1855
+--R /
+--R 2
+--R 55566x + 74088x + 24696
+--R Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 500
+m0:=a0-r0
+--R
+--R
+--R - 121log(2x - 1) + 121log(- 2x + 1)
+--R (4) -----------------------------------
+--R 343
+--R Type: Expression(Integer)
+--E 149
+
+--S 150 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 150
+
+)clear all
+
+--S 151 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^4)
+--R
+--R
+--R 2
+--R - 25x - 30x - 9
+--R (1) ---------------------------------------
+--R 5 4 3 2
+--R 162x + 351x + 216x - 24x - 64x - 16
+--R Type: Fraction(Polynomial(Integer))
+--E 151
+
+--S 152 of 500
+r0:=(-1/189)/(2+3*x)^3+34/441/(2+3*x)^2+(-121/343)/(2+3*x)-_
+ 242/2401*log(1-2*x)+242/2401*log(2+3*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (176418x + 352836x + 235224x + 52272)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 176418x - 352836x - 235224x - 52272)log(- 2x + 1) - 205821x
+--R +
+--R - 259434x - 81823
+--R /
+--R 3 2
+--R 1750329x + 3500658x + 2333772x + 518616
+--R Type: Expression(Integer)
+--E 152
+
+--S 153 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (176418x + 352836x + 235224x + 52272)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 176418x - 352836x - 235224x - 52272)log(2x - 1) - 205821x - 259434x
+--R +
+--R - 81823
+--R /
+--R 3 2
+--R 1750329x + 3500658x + 2333772x + 518616
+--R Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 500
+m0:=a0-r0
+--R
+--R
+--R - 242log(2x - 1) + 242log(- 2x + 1)
+--R (4) -----------------------------------
+--R 2401
+--R Type: Expression(Integer)
+--E 154
+
+--S 155 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 155
+
+)clear all
+
+--S 156 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^5)
+--R
+--R
+--R 2
+--R - 25x - 30x - 9
+--R (1) ---------------------------------------------------
+--R 6 5 4 3 2
+--R 486x + 1377x + 1350x + 360x - 240x - 176x - 32
+--R Type: Fraction(Polynomial(Integer))
+--E 156
+
+--S 157 of 500
+r0:=(-1/252)/(2+3*x)^4+68/1323/(2+3*x)^3+(-121/686)/(2+3*x)^2+(-242/2401)/_
+ (2+3*x)-484/16807*log(1-2*x)+484/16807*log(2+3*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (4234032x + 11290752x + 11290752x + 5018112x + 836352)log(3x + 2)
+--R +
+--R 4 3 2
+--R (- 4234032x - 11290752x - 11290752x - 5018112x - 836352)log(- 2x + 1)
+--R +
+--R 3 2
+--R - 4939704x - 12760902x - 10148376x - 2564891
+--R /
+--R 4 3 2
+--R 147027636x + 392073696x + 392073696x + 174254976x + 29042496
+--R Type: Expression(Integer)
+--E 157
+
+--S 158 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (4234032x + 11290752x + 11290752x + 5018112x + 836352)log(3x + 2)
+--R +
+--R 4 3 2
+--R (- 4234032x - 11290752x - 11290752x - 5018112x - 836352)log(2x - 1)
+--R +
+--R 3 2
+--R - 4939704x - 12760902x - 10148376x - 2564891
+--R /
+--R 4 3 2
+--R 147027636x + 392073696x + 392073696x + 174254976x + 29042496
+--R Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 500
+m0:=a0-r0
+--R
+--R
+--R - 484log(2x - 1) + 484log(- 2x + 1)
+--R (4) -----------------------------------
+--R 16807
+--R Type: Expression(Integer)
+--E 159
+
+--S 160 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 160
+
+)clear all
+
+--S 161 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^6)
+--R
+--R
+--R 2
+--R - 25x - 30x - 9
+--R (1) ------------------------------------------------------
+--R 7 6 5 4 2
+--R 1458x + 5103x + 6804x + 3780x - 1008x - 448x - 64
+--R Type: Fraction(Polynomial(Integer))
+--E 161
+
+--S 162 of 500
+r0:=(-1/315)/(2+3*x)^5+17/441/(2+3*x)^4+(-121/1029)/(2+3*x)^3+(-121/2401)/_
+ (2+3*x)^2+(-484/16807)/(2+3*x)-968/117649*log(1-2*x)+968/117649*log(2+3*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R 10585080x + 35283600x + 47044800x + 31363200x + 10454400x
+--R +
+--R 1393920
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 10585080x - 35283600x - 47044800x - 31363200x - 10454400x
+--R +
+--R - 1393920
+--R *
+--R log(- 2x + 1)
+--R +
+--R 4 3 2
+--R - 12349260x - 40135095x - 52941735x - 31099425x - 6672617
+--R /
+--R 5 4 3 2
+--R 1286491815x + 4288306050x + 5717741400x + 3811827600x + 1270609200x
+--R +
+--R 169414560
+--R Type: Expression(Integer)
+--E 162
+
+--S 163 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 10585080x + 35283600x + 47044800x + 31363200x + 10454400x
+--R +
+--R 1393920
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 10585080x - 35283600x - 47044800x - 31363200x - 10454400x
+--R +
+--R - 1393920
+--R *
+--R log(2x - 1)
+--R +
+--R 4 3 2
+--R - 12349260x - 40135095x - 52941735x - 31099425x - 6672617
+--R /
+--R 5 4 3 2
+--R 1286491815x + 4288306050x + 5717741400x + 3811827600x + 1270609200x
+--R +
+--R 169414560
+--R Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 500
+m0:=a0-r0
+--R
+--R
+--R - 968log(2x - 1) + 968log(- 2x + 1)
+--R (4) -----------------------------------
+--R 117649
+--R Type: Expression(Integer)
+--E 164
+
+--S 165 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 165
+
+)clear all
+
+--S 166 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^7)
+--R
+--R
+--R (1)
+--R 2
+--R - 25x - 30x - 9
+--R -----------------------------------------------------------------------------
+--R 8 7 6 5 4 3 2
+--R 4374x + 18225x + 30618x + 24948x + 7560x - 3024x - 3360x - 1088x - 128
+--R Type: Fraction(Polynomial(Integer))
+--E 166
+
+--S 167 of 500
+r0:=(-1/378)/(2+3*x)^6+68/2205/(2+3*x)^5+(-121/1372)/(2+3*x)^4+_
+ (-242/7203)/(2+3*x)^3+(-242/16807)/(2+3*x)^2+(-968/117649)/(2+3*x)-_
+ 1936/823543*log(1-2*x)+1936/823543*log(2+3*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 762125760x + 3048503040x + 5080838400x + 4516300800x
+--R +
+--R 2
+--R 2258150400x + 602173440x + 66908160
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 762125760x - 3048503040x - 5080838400x - 4516300800x
+--R +
+--R 2
+--R - 2258150400x - 602173440x - 66908160
+--R *
+--R log(- 2x + 1)
+--R +
+--R 5 4 3 2
+--R - 889146720x - 3482491320x - 5738289480x - 5177427255x - 2460267684x
+--R +
+--R - 469699846
+--R /
+--R 6 5 4 3
+--R 324195937380x + 1296783749520x + 2161306249200x + 1921161110400x
+--R +
+--R 2
+--R 960580555200x + 256154814720x + 28461646080
+--R Type: Expression(Integer)
+--E 167
+
+--S 168 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 762125760x + 3048503040x + 5080838400x + 4516300800x
+--R +
+--R 2
+--R 2258150400x + 602173440x + 66908160
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 762125760x - 3048503040x - 5080838400x - 4516300800x
+--R +
+--R 2
+--R - 2258150400x - 602173440x - 66908160
+--R *
+--R log(2x - 1)
+--R +
+--R 5 4 3 2
+--R - 889146720x - 3482491320x - 5738289480x - 5177427255x - 2460267684x
+--R +
+--R - 469699846
+--R /
+--R 6 5 4 3
+--R 324195937380x + 1296783749520x + 2161306249200x + 1921161110400x
+--R +
+--R 2
+--R 960580555200x + 256154814720x + 28461646080
+--R Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 500
+m0:=a0-r0
+--R
+--R
+--R - 1936log(2x - 1) + 1936log(- 2x + 1)
+--R (4) -------------------------------------
+--R 823543
+--R Type: Expression(Integer)
+--E 169
+
+--S 170 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 170
+
+)clear all
+
+--S 171 of 500
+t0:=(3+5*x)^2/((1-2*x)*(2+3*x)^8)
+--R
+--R
+--R (1)
+--R 2
+--R - 25x - 30x - 9
+--R /
+--R 9 8 7 6 5 4 3
+--R 13122x + 63423x + 128304x + 136080x + 72576x + 6048x - 16128x
+--R +
+--R 2
+--R - 9984x - 2560x - 256
+--R Type: Fraction(Polynomial(Integer))
+--E 171
+
+--S 172 of 500
+r0:=(-1/441)/(2+3*x)^7+34/1323/(2+3*x)^6+(-121/1715)/(2+3*x)^5+_
+ (-121/4802)/(2+3*x)^4+(-484/50421)/(2+3*x)^3+(-484/117649)/(2+3*x)^2+_
+ (-1936/823543)/(2+3*x)-3872/5764801*log(1-2*x)+3872/5764801*log(2+3*x)
+--R
+--R
+--R (2)
+--R 7 6 5 4
+--R 2286377280x + 10669760640x + 21339521280x + 23710579200x
+--R +
+--R 3 2
+--R 15807052800x + 6322821120x + 1405071360x + 133816320
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R - 2286377280x - 10669760640x - 21339521280x - 23710579200x
+--R +
+--R 3 2
+--R - 15807052800x - 6322821120x - 1405071360x - 133816320
+--R *
+--R log(- 2x + 1)
+--R +
+--R 6 5 4 3
+--R - 2667440160x - 12225767400x - 24179851080x - 27008860725x
+--R +
+--R 2
+--R - 18847440612x - 7688480856x - 1354700662
+--R /
+--R 7 6 5 4
+--R 3404057342490x + 15885600931620x + 31771201863240x + 35301335403600x
+--R +
+--R 3 2
+--R 23534223602400x + 9413689440960x + 2091930986880x + 199231522560
+--R Type: Expression(Integer)
+--E 172
+
+--S 173 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R 2286377280x + 10669760640x + 21339521280x + 23710579200x
+--R +
+--R 3 2
+--R 15807052800x + 6322821120x + 1405071360x + 133816320
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R - 2286377280x - 10669760640x - 21339521280x - 23710579200x
+--R +
+--R 3 2
+--R - 15807052800x - 6322821120x - 1405071360x - 133816320
+--R *
+--R log(2x - 1)
+--R +
+--R 6 5 4 3
+--R - 2667440160x - 12225767400x - 24179851080x - 27008860725x
+--R +
+--R 2
+--R - 18847440612x - 7688480856x - 1354700662
+--R /
+--R 7 6 5 4
+--R 3404057342490x + 15885600931620x + 31771201863240x + 35301335403600x
+--R +
+--R 3 2
+--R 23534223602400x + 9413689440960x + 2091930986880x + 199231522560
+--R Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 500
+m0:=a0-r0
+--R
+--R
+--R - 3872log(2x - 1) + 3872log(- 2x + 1)
+--R (4) -------------------------------------
+--R 5764801
+--R Type: Expression(Integer)
+--E 174
+
+--S 175 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 175
+
+)clear all
+
+--S 176 of 500
+t0:=(2+3*x)^m*(3+5*x)^3/(1-2*x)
+--R
+--R
+--R 3 2 m
+--R (- 125x - 225x - 135x - 27)(3x + 2)
+--R (1) --------------------------------------
+--R 2x - 1
+--R Type: Expression(Integer)
+--E 176
+
+--S 177 of 500
+--r0:=-5135/216*(2+3*x)^(1+m)/(1+m)-725/108*(2+3*x)^(2+m)/(2+m)-_
+-- 125/54*(2+3*x)^(3+m)/(3+m)+1331/56*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)
+--E 177
+
+--S 178 of 500
+--a0:=integrate(t0,x)
+--E 178
+
+--S 179 of 500
+--m0:=a0-r0
+--E 179
+
+--S 180 of 500
+--d0:=D(m0,x)
+--E 180
+
+)clear all
+
+--S 181 of 500
+t0:=(2+3*x)^7*(3+5*x)^3/(1-2*x)
+--R
+--R
+--R (1)
+--R 10 9 8 7 6 5
+--R - 273375x - 1767825x - 5143095x - 8864559x - 10024182x - 7770924x
+--R +
+--R 4 3 2
+--R - 4182360x - 1543120x - 373536x - 53568x - 3456
+--R /
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 181
+
+--S 182 of 500
+r0:=-1092596789/1024*x-1065169973/1024*x^2-969544757/768*x^3-_
+ 772025397/512*x^4-504354357/320*x^5-85228263/64*x^6-_
+ 95297877/112*x^7-24381405/64*x^8-423225/4*x^9-54675/4*x^10-_
+ 1096135733/2048*log(1-2*x)
+--R
+--R
+--R (2)
+--R 10 9
+--R - 115094251965log(- 2x + 1) - 2939328000x - 22752576000x
+--R +
+--R 8 7 6 5
+--R - 81921520800x - 182971923840x - 286366963680x - 338926127904x
+--R +
+--R 4 3 2
+--R - 324250666740x - 271472531960x - 223685694330x - 229445325690x
+--R /
+--R 215040
+--R Type: Expression(Integer)
+--E 182
+
+--S 183 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 10 9 8
+--R - 115094251965log(2x - 1) - 2939328000x - 22752576000x - 81921520800x
+--R +
+--R 7 6 5 4
+--R - 182971923840x - 286366963680x - 338926127904x - 324250666740x
+--R +
+--R 3 2
+--R - 271472531960x - 223685694330x - 229445325690x
+--R /
+--R 215040
+--R Type: Union(Expression(Integer),...)
+--E 183
+
+--S 184 of 500
+m0:=a0-r0
+--R
+--R
+--R - 1096135733log(2x - 1) + 1096135733log(- 2x + 1)
+--R (4) -------------------------------------------------
+--R 2048
+--R Type: Expression(Integer)
+--E 184
+
+--S 185 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 185
+
+)clear all
+
+--S 186 of 500
+t0:=(2+3*x)^6*(3+5*x)^3/(1-2*x)
+--R
+--R
+--R (1)
+--R 9 8 7 6 5 4
+--R - 91125x - 528525x - 1362015x - 2046843x - 1976832x - 1272420x
+--R +
+--R 3 2
+--R - 545840x - 150480x - 24192x - 1728
+--R /
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 186
+
+--S 187 of 500
+r0:=-155706083/512*x-149512931/512*x^2-130251491/384*x^3-95317731/256*x^4-_
+ 54600291/160*x^5-7656993/32*x^6-6596235/56*x^7-1148175/32*x^8-_
+ 10125/2*x^9-156590819/1024*log(1-2*x)
+--R
+--R
+--R (2)
+--R 9 8 7
+--R - 16442035995log(- 2x + 1) - 544320000x - 3857868000x - 12664771200x
+--R +
+--R 6 5 4 3
+--R - 25727496480x - 36691395552x - 40033447020x - 36470417480x
+--R +
+--R 2
+--R - 31397715510x - 32698277430x
+--R /
+--R 107520
+--R Type: Expression(Integer)
+--E 187
+
+--S 188 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 9 8 7
+--R - 16442035995log(2x - 1) - 544320000x - 3857868000x - 12664771200x
+--R +
+--R 6 5 4 3
+--R - 25727496480x - 36691395552x - 40033447020x - 36470417480x
+--R +
+--R 2
+--R - 31397715510x - 32698277430x
+--R /
+--R 107520
+--R Type: Union(Expression(Integer),...)
+--E 188
+
+--S 189 of 500
+m0:=a0-r0
+--R
+--R
+--R - 156590819log(2x - 1) + 156590819log(- 2x + 1)
+--R (4) -----------------------------------------------
+--R 1024
+--R Type: Expression(Integer)
+--E 189
+
+--S 190 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 190
+
+)clear all
+
+--S 191 of 500
+t0:=(2+3*x)^5*(3+5*x)^3/(1-2*x)
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3
+--R - 30375x - 155925x - 350055x - 448911x - 359670x - 184360x
+--R +
+--R 2
+--R - 59040x - 10800x - 864
+--R /
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 191
+
+--S 192 of 500
+r0:=-22148933/256*x-20766533/256*x^2-16987973/192*x^3-11088453/128*x^4-_
+ 5333733/80*x^5-580815/16*x^6-342225/28*x^7-30375/16*x^8-_
+ 22370117/512*log(1-2*x)
+--R
+--R
+--R (2)
+--R 8 7 6
+--R - 2348862285log(- 2x + 1) - 102060000x - 657072000x - 1951538400x
+--R +
+--R 5 4 3 2
+--R - 3584268576x - 4657150260x - 4756632440x - 4360971930x - 4651275930x
+--R /
+--R 53760
+--R Type: Expression(Integer)
+--E 192
+
+--S 193 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 8 7 6
+--R - 2348862285log(2x - 1) - 102060000x - 657072000x - 1951538400x
+--R +
+--R 5 4 3 2
+--R - 3584268576x - 4657150260x - 4756632440x - 4360971930x - 4651275930x
+--R /
+--R 53760
+--R Type: Union(Expression(Integer),...)
+--E 193
+
+--S 194 of 500
+m0:=a0-r0
+--R
+--R
+--R - 22370117log(2x - 1) + 22370117log(- 2x + 1)
+--R (4) ---------------------------------------------
+--R 512
+--R Type: Expression(Integer)
+--E 194
+
+--S 195 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 195
+
+)clear all
+
+--S 196 of 500
+t0:=(2+3*x)^4*(3+5*x)^3/(1-2*x)
+--R
+--R
+--R (1)
+--R 7 6 5 4 3 2
+--R - 10125x - 45225x - 86535x - 91947x - 58592x - 22392x - 4752x - 432
+--R -------------------------------------------------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 196
+
+--S 197 of 500
+r0:=-3140435/128*x-2836307/128*x^2-2119763/96*x^3-1182291/64*x^4-_
+ 89343/8*x^5-33525/8*x^6-10125/14*x^7-3195731/256*log(1-2*x)
+--R
+--R
+--R (2)
+--R 7 6 5
+--R - 67110351log(- 2x + 1) - 3888000x - 22528800x - 60038496x
+--R +
+--R 4 3 2
+--R - 99312444x - 118706728x - 119124894x - 131898270x
+--R /
+--R 5376
+--R Type: Expression(Integer)
+--E 197
+
+--S 198 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R - 67110351log(2x - 1) - 3888000x - 22528800x - 60038496x - 99312444x
+--R +
+--R 3 2
+--R - 118706728x - 119124894x - 131898270x
+--R /
+--R 5376
+--R Type: Union(Expression(Integer),...)
+--E 198
+
+--S 199 of 500
+m0:=a0-r0
+--R
+--R
+--R - 3195731log(2x - 1) + 3195731log(- 2x + 1)
+--R (4) -------------------------------------------
+--R 256
+--R Type: Expression(Integer)
+--E 199
+
+--S 200 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 200
+
+)clear all
+
+--S 201 of 500
+t0:=(2+3*x)^3*(3+5*x)^3/(1-2*x)
+--R
+--R
+--R 6 5 4 3 2
+--R - 3375x - 12825x - 20295x - 17119x - 8118x - 2052x - 216
+--R (1) -------------------------------------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 201
+
+--S 202 of 500
+r0:=-442709/64*x-377045/64*x^2-247157/48*x^3-110205/32*x^4-5805/4*x^5-_
+ 1125/4*x^6-456533/128*log(1-2*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R - 1369599log(- 2x + 1) - 108000x - 557280x - 1322460x - 1977256x
+--R +
+--R 2
+--R - 2262270x - 2656254x
+--R /
+--R 384
+--R Type: Expression(Integer)
+--E 202
+
+--S 203 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R - 1369599log(2x - 1) - 108000x - 557280x - 1322460x - 1977256x
+--R +
+--R 2
+--R - 2262270x - 2656254x
+--R /
+--R 384
+--R Type: Union(Expression(Integer),...)
+--E 203
+
+--S 204 of 500
+m0:=a0-r0
+--R
+--R
+--R - 456533log(2x - 1) + 456533log(- 2x + 1)
+--R (4) -----------------------------------------
+--R 128
+--R Type: Expression(Integer)
+--E 204
+
+--S 205 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 205
+
+)clear all
+
+--S 206 of 500
+t0:=(2+3*x)^2*(3+5*x)^3/(1-2*x)
+--R
+--R
+--R 5 4 3 2
+--R - 1125x - 3525x - 4415x - 2763x - 864x - 108
+--R (1) ------------------------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 206
+
+--S 207 of 500
+r0:=-61763/32*x-47939/32*x^2-25835/24*x^3-8175/16*x^4-225/2*x^5-_
+ 65219/64*log(1-2*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R - 195657log(- 2x + 1) - 21600x - 98100x - 206680x - 287634x - 370578x
+--R -------------------------------------------------------------------------
+--R 192
+--R Type: Expression(Integer)
+--E 207
+
+--S 208 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R - 195657log(2x - 1) - 21600x - 98100x - 206680x - 287634x - 370578x
+--R -----------------------------------------------------------------------
+--R 192
+--R Type: Union(Expression(Integer),...)
+--E 208
+
+--S 209 of 500
+m0:=a0-r0
+--R
+--R
+--R - 65219log(2x - 1) + 65219log(- 2x + 1)
+--R (4) ---------------------------------------
+--R 64
+--R Type: Expression(Integer)
+--E 209
+
+--S 210 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 210
+
+)clear all
+
+--S 211 of 500
+t0:=(2+3*x)*(3+5*x)^3/(1-2*x)
+--R
+--R
+--R 4 3 2
+--R - 375x - 925x - 855x - 351x - 54
+--R (1) -----------------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 211
+
+--S 212 of 500
+r0:=-8453/16*x-5645/16*x^2-2225/12*x^3-375/8*x^4-9317/32*log(1-2*x)
+--R
+--R
+--R 4 3 2
+--R - 27951log(- 2x + 1) - 4500x - 17800x - 33870x - 50718x
+--R (2) ----------------------------------------------------------
+--R 96
+--R Type: Expression(Integer)
+--E 212
+
+--S 213 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4 3 2
+--R - 27951log(2x - 1) - 4500x - 17800x - 33870x - 50718x
+--R (3) --------------------------------------------------------
+--R 96
+--R Type: Union(Expression(Integer),...)
+--E 213
+
+--S 214 of 500
+m0:=a0-r0
+--R
+--R
+--R - 9317log(2x - 1) + 9317log(- 2x + 1)
+--R (4) -------------------------------------
+--R 32
+--R Type: Expression(Integer)
+--E 214
+
+--S 215 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 215
+
+)clear all
+
+--S 216 of 500
+t0:=(3+5*x)^3/(1-2*x)
+--R
+--R
+--R 3 2
+--R - 125x - 225x - 135x - 27
+--R (1) ---------------------------
+--R 2x - 1
+--R Type: Fraction(Polynomial(Integer))
+--E 216
+
+--S 217 of 500
+r0:=-1115/8*x-575/8*x^2-125/6*x^3-1331/16*log(1-2*x)
+--R
+--R
+--R 3 2
+--R - 3993log(- 2x + 1) - 1000x - 3450x - 6690x
+--R (2) ---------------------------------------------
+--R 48
+--R Type: Expression(Integer)
+--E 217
+
+--S 218 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R - 3993log(2x - 1) - 1000x - 3450x - 6690x
+--R (3) -------------------------------------------
+--R 48
+--R Type: Union(Expression(Integer),...)
+--E 218
+
+--S 219 of 500
+m0:=a0-r0
+--R
+--R
+--R - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R (4) -------------------------------------
+--R 16
+--R Type: Expression(Integer)
+--E 219
+
+--S 220 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 220
+
+)clear all
+
+--S 221 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x))
+--R
+--R
+--R 3 2
+--R - 125x - 225x - 135x - 27
+--R (1) ---------------------------
+--R 2
+--R 6x + x - 2
+--R Type: Fraction(Polynomial(Integer))
+--E 221
+
+--S 222 of 500
+r0:=-1225/36*x-125/12*x^2-1331/56*log(1-2*x)-1/189*log(2+3*x)
+--R
+--R
+--R 2
+--R - 8log(3x + 2) - 35937log(- 2x + 1) - 15750x - 51450x
+--R (2) ------------------------------------------------------
+--R 1512
+--R Type: Expression(Integer)
+--E 222
+
+--S 223 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R - 8log(3x + 2) - 35937log(2x - 1) - 15750x - 51450x
+--R (3) ----------------------------------------------------
+--R 1512
+--R Type: Union(Expression(Integer),...)
+--E 223
+
+--S 224 of 500
+m0:=a0-r0
+--R
+--R
+--R - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R (4) -------------------------------------
+--R 56
+--R Type: Expression(Integer)
+--E 224
+
+--S 225 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 225
+
+)clear all
+
+--S 226 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^2)
+--R
+--R
+--R 3 2
+--R - 125x - 225x - 135x - 27
+--R (1) ---------------------------
+--R 3 2
+--R 18x + 15x - 4x - 4
+--R Type: Fraction(Polynomial(Integer))
+--E 226
+
+--S 227 of 500
+r0:=-125/18*x+1/189/(2+3*x)-1331/196*log(1-2*x)+103/1323*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2
+--R (1236x + 824)log(3x + 2) + (- 107811x - 71874)log(- 2x + 1) - 110250x
+--R +
+--R - 73500x + 28
+--R /
+--R 15876x + 10584
+--R Type: Expression(Integer)
+--E 227
+
+--S 228 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (1236x + 824)log(3x + 2) + (- 107811x - 71874)log(2x - 1) - 110250x
+--R +
+--R - 73500x + 28
+--R /
+--R 15876x + 10584
+--R Type: Union(Expression(Integer),...)
+--E 228
+
+--S 229 of 500
+m0:=a0-r0
+--R
+--R
+--R - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R (4) -------------------------------------
+--R 196
+--R Type: Expression(Integer)
+--E 229
+
+--S 230 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 230
+
+)clear all
+
+--S 231 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^3)
+--R
+--R
+--R 3 2
+--R - 125x - 225x - 135x - 27
+--R (1) ----------------------------
+--R 4 3 2
+--R 54x + 81x + 18x - 20x - 8
+--R Type: Fraction(Polynomial(Integer))
+--E 231
+
+--S 232 of 500
+r0:=1/378/(2+3*x)^2+(-103/1323)/(2+3*x)-1331/686*log(1-2*x)-_
+ 3469/9261*log(2+3*x)
+--R
+--R
+--R (2)
+--R 2
+--R (- 62442x - 83256x - 27752)log(3x + 2)
+--R +
+--R 2
+--R (- 323433x - 431244x - 143748)log(- 2x + 1) - 4326x - 2835
+--R /
+--R 2
+--R 166698x + 222264x + 74088
+--R Type: Expression(Integer)
+--E 232
+
+--S 233 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (- 62442x - 83256x - 27752)log(3x + 2)
+--R +
+--R 2
+--R (- 323433x - 431244x - 143748)log(2x - 1) - 4326x - 2835
+--R /
+--R 2
+--R 166698x + 222264x + 74088
+--R Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 500
+m0:=a0-r0
+--R
+--R
+--R - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R (4) -------------------------------------
+--R 686
+--R Type: Expression(Integer)
+--E 234
+
+--S 235 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 235
+
+)clear all
+
+--S 236 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^4)
+--R
+--R
+--R 3 2
+--R - 125x - 225x - 135x - 27
+--R (1) ---------------------------------------
+--R 5 4 3 2
+--R 162x + 351x + 216x - 24x - 64x - 16
+--R Type: Fraction(Polynomial(Integer))
+--E 236
+
+--S 237 of 500
+r0:=1/567/(2+3*x)^3+(-103/2646)/(2+3*x)^2+3469/9261/(2+3*x)-_
+ 1331/2401*log(1-2*x)+1331/2401*log(2+3*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (5821794x + 11643588x + 7762392x + 1724976)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 5821794x - 11643588x - 7762392x - 1724976)log(- 2x + 1) + 1311282x
+--R +
+--R 1702953x + 553196
+--R /
+--R 3 2
+--R 10501974x + 21003948x + 14002632x + 3111696
+--R Type: Expression(Integer)
+--E 237
+
+--S 238 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (5821794x + 11643588x + 7762392x + 1724976)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 5821794x - 11643588x - 7762392x - 1724976)log(2x - 1) + 1311282x
+--R +
+--R 1702953x + 553196
+--R /
+--R 3 2
+--R 10501974x + 21003948x + 14002632x + 3111696
+--R Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 500
+m0:=a0-r0
+--R
+--R
+--R - 1331log(2x - 1) + 1331log(- 2x + 1)
+--R (4) -------------------------------------
+--R 2401
+--R Type: Expression(Integer)
+--E 239
+
+--S 240 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 240
+
+)clear all
+
+--S 241 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^5)
+--R
+--R
+--R 3 2
+--R - 125x - 225x - 135x - 27
+--R (1) ---------------------------------------------------
+--R 6 5 4 3 2
+--R 486x + 1377x + 1350x + 360x - 240x - 176x - 32
+--R Type: Fraction(Polynomial(Integer))
+--E 241
+
+--S 242 of 500
+r0:=1/756/(2+3*x)^4+(-103/3969)/(2+3*x)^3+3469/18522/(2+3*x)^2+_
+ (-1331/2401)/(2+3*x)-2662/16807*log(1-2*x)+2662/16807*log(2+3*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R (69861528x + 186297408x + 186297408x + 82798848x + 13799808)
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R (- 69861528x - 186297408x - 186297408x - 82798848x - 13799808)
+--R *
+--R log(- 2x + 1)
+--R +
+--R 3 2
+--R - 81505116x - 153831258x - 96858804x - 20345549
+--R /
+--R 4 3 2
+--R 441082908x + 1176221088x + 1176221088x + 522764928x + 87127488
+--R Type: Expression(Integer)
+--E 242
+
+--S 243 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R (69861528x + 186297408x + 186297408x + 82798848x + 13799808)
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R (- 69861528x - 186297408x - 186297408x - 82798848x - 13799808)
+--R *
+--R log(2x - 1)
+--R +
+--R 3 2
+--R - 81505116x - 153831258x - 96858804x - 20345549
+--R /
+--R 4 3 2
+--R 441082908x + 1176221088x + 1176221088x + 522764928x + 87127488
+--R Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 500
+m0:=a0-r0
+--R
+--R
+--R - 2662log(2x - 1) + 2662log(- 2x + 1)
+--R (4) -------------------------------------
+--R 16807
+--R Type: Expression(Integer)
+--E 244
+
+--S 245 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 245
+
+)clear all
+
+--S 246 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^6)
+--R
+--R
+--R 3 2
+--R - 125x - 225x - 135x - 27
+--R (1) ------------------------------------------------------
+--R 7 6 5 4 2
+--R 1458x + 5103x + 6804x + 3780x - 1008x - 448x - 64
+--R Type: Fraction(Polynomial(Integer))
+--E 246
+
+--S 247 of 500
+r0:=1/945/(2+3*x)^5+(-103/5292)/(2+3*x)^4+3469/27783/(2+3*x)^3+_
+ (-1331/4802)/(2+3*x)^2+(-2662/16807)/(2+3*x)-_
+ 5324/117649*log(1-2*x)+5324/117649*log(2+3*x)
+--R
+--R
+--R (2)
+--R 5 4 3 2
+--R 2095845840x + 6986152800x + 9314870400x + 6209913600x
+--R +
+--R 2069971200x + 275996160
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 2095845840x - 6986152800x - 9314870400x - 6209913600x
+--R +
+--R - 2069971200x - 275996160
+--R *
+--R log(- 2x + 1)
+--R +
+--R 4 3 2
+--R - 2445153480x - 7946748810x - 9158912280x - 4525306275x - 817640446
+--R /
+--R 5 4 3 2
+--R 46313705340x + 154379017800x + 205838690400x + 137225793600x
+--R +
+--R 45741931200x + 6098924160
+--R Type: Expression(Integer)
+--E 247
+
+--S 248 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3 2
+--R 2095845840x + 6986152800x + 9314870400x + 6209913600x
+--R +
+--R 2069971200x + 275996160
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R - 2095845840x - 6986152800x - 9314870400x - 6209913600x
+--R +
+--R - 2069971200x - 275996160
+--R *
+--R log(2x - 1)
+--R +
+--R 4 3 2
+--R - 2445153480x - 7946748810x - 9158912280x - 4525306275x - 817640446
+--R /
+--R 5 4 3 2
+--R 46313705340x + 154379017800x + 205838690400x + 137225793600x
+--R +
+--R 45741931200x + 6098924160
+--R Type: Union(Expression(Integer),...)
+--E 248
+
+--S 249 of 500
+m0:=a0-r0
+--R
+--R
+--R - 5324log(2x - 1) + 5324log(- 2x + 1)
+--R (4) -------------------------------------
+--R 117649
+--R Type: Expression(Integer)
+--E 249
+
+--S 250 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 250
+
+)clear all
+
+--S 251 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^7)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 125x - 225x - 135x - 27
+--R -----------------------------------------------------------------------------
+--R 8 7 6 5 4 3 2
+--R 4374x + 18225x + 30618x + 24948x + 7560x - 3024x - 3360x - 1088x - 128
+--R Type: Fraction(Polynomial(Integer))
+--E 251
+
+--S 252 of 500
+r0:=1/1134/(2+3*x)^6+(-103/6615)/(2+3*x)^5+3469/37044/(2+3*x)^4+_
+ (-1331/7203)/(2+3*x)^3+(-1331/16807)/(2+3*x)^2+_
+ (-5324/117649)/(2+3*x)-10648/823543*log(1-2*x)+10648/823543*log(2+3*x)
+--R
+--R
+--R (2)
+--R 6 5 4 3
+--R 12575075040x + 50300300160x + 83833833600x + 74518963200x
+--R +
+--R 2
+--R 37259481600x + 9935861760x + 1103984640
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 12575075040x - 50300300160x - 83833833600x - 74518963200x
+--R +
+--R 2
+--R - 37259481600x - 9935861760x - 1103984640
+--R *
+--R log(- 2x + 1)
+--R +
+--R 5 4 3 2
+--R - 14670920880x - 57461106780x - 94681776420x - 78478905645x
+--R +
+--R - 32070746736x - 5135298434
+--R /
+--R 6 5 4 3
+--R 972587812140x + 3890351248560x + 6483918747600x + 5763483331200x
+--R +
+--R 2
+--R 2881741665600x + 768464444160x + 85384938240
+--R Type: Expression(Integer)
+--E 252
+
+--S 253 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4 3
+--R 12575075040x + 50300300160x + 83833833600x + 74518963200x
+--R +
+--R 2
+--R 37259481600x + 9935861760x + 1103984640
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3
+--R - 12575075040x - 50300300160x - 83833833600x - 74518963200x
+--R +
+--R 2
+--R - 37259481600x - 9935861760x - 1103984640
+--R *
+--R log(2x - 1)
+--R +
+--R 5 4 3 2
+--R - 14670920880x - 57461106780x - 94681776420x - 78478905645x
+--R +
+--R - 32070746736x - 5135298434
+--R /
+--R 6 5 4 3
+--R 972587812140x + 3890351248560x + 6483918747600x + 5763483331200x
+--R +
+--R 2
+--R 2881741665600x + 768464444160x + 85384938240
+--R Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 500
+m0:=a0-r0
+--R
+--R
+--R - 10648log(2x - 1) + 10648log(- 2x + 1)
+--R (4) ---------------------------------------
+--R 823543
+--R Type: Expression(Integer)
+--E 254
+
+--S 255 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 255
+
+)clear all
+
+--S 256 of 500
+t0:=(3+5*x)^3/((1-2*x)*(2+3*x)^8)
+--R
+--R
+--R (1)
+--R 3 2
+--R - 125x - 225x - 135x - 27
+--R /
+--R 9 8 7 6 5 4 3
+--R 13122x + 63423x + 128304x + 136080x + 72576x + 6048x - 16128x
+--R +
+--R 2
+--R - 9984x - 2560x - 256
+--R Type: Fraction(Polynomial(Integer))
+--E 256
+
+--S 257 of 500
+r0:=1/1323/(2+3*x)^7+(-103/7938)/(2+3*x)^6+3469/46305/(2+3*x)^5+_
+ (-1331/9604)/(2+3*x)^4+(-2662/50421)/(2+3*x)^3+(-2662/117649)/(2+3*x)^2+_
+ (-10648/823543)/(2+3*x)-21296/5764801*log(1-2*x)+21296/5764801*log(2+3*x)
+--R
+--R
+--R (2)
+--R 7 6 5 4
+--R 75450450240x + 352102101120x + 704204202240x + 782449113600x
+--R +
+--R 3 2
+--R 521632742400x + 208653096960x + 46367354880x + 4415938560
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R - 75450450240x - 352102101120x - 704204202240x - 782449113600x
+--R +
+--R 3 2
+--R - 521632742400x - 208653096960x - 46367354880x - 4415938560
+--R *
+--R log(- 2x + 1)
+--R +
+--R 6 5 4 3
+--R - 88025525280x - 403450324200x - 797935085640x - 891292403925x
+--R +
+--R 2
+--R - 583053133446x - 206160259998x - 30169587896
+--R /
+--R 7 6 5
+--R 20424344054940x + 95313605589720x + 190627211179440x
+--R +
+--R 4 3 2
+--R 211808012421600x + 141205341614400x + 56482136645760x
+--R +
+--R 12551585921280x + 1195389135360
+--R Type: Expression(Integer)
+--E 257
+
+--S 258 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7 6 5 4
+--R 75450450240x + 352102101120x + 704204202240x + 782449113600x
+--R +
+--R 3 2
+--R 521632742400x + 208653096960x + 46367354880x + 4415938560
+--R *
+--R log(3x + 2)
+--R +
+--R 7 6 5 4
+--R - 75450450240x - 352102101120x - 704204202240x - 782449113600x
+--R +
+--R 3 2
+--R - 521632742400x - 208653096960x - 46367354880x - 4415938560
+--R *
+--R log(2x - 1)
+--R +
+--R 6 5 4 3
+--R - 88025525280x - 403450324200x - 797935085640x - 891292403925x
+--R +
+--R 2
+--R - 583053133446x - 206160259998x - 30169587896
+--R /
+--R 7 6 5
+--R 20424344054940x + 95313605589720x + 190627211179440x
+--R +
+--R 4 3 2
+--R 211808012421600x + 141205341614400x + 56482136645760x
+--R +
+--R 12551585921280x + 1195389135360
+--R Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 500
+m0:=a0-r0
+--R
+--R
+--R - 21296log(2x - 1) + 21296log(- 2x + 1)
+--R (4) ---------------------------------------
+--R 5764801
+--R Type: Expression(Integer)
+--E 259
+
+--S 260 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 260
+
+)clear all
+
+--S 261 of 500
+t0:=(a+b*x)^3/((c+d*x)*(e+f*x))
+--R
+--R
+--R 3 3 2 2 2 3
+--R b x + 3a b x + 3a b x + a
+--R (1) ----------------------------
+--R 2
+--R d f x + (c f + d e)x + c e
+--R Type: Fraction(Polynomial(Integer))
+--E 261
+
+--S 262 of 500
+r0:=-b^2*(b*d*e+b*c*f-3*a*d*f)*x/(d^2*f^2)+1/2*b^3*x^2/(d*f)-_
+ (b*c-a*d)^3*log(c+d*x)/(d^3*(d*e-c*f))+_
+ (b*e-a*f)^3*log(e+f*x)/(f^3*(d*e-c*f))
+--R
+--R
+--R (2)
+--R 3 3 3 2 3 2 2 3 2 3 3 3
+--R (2a d f - 6a b d e f + 6a b d e f - 2b d e )log(f x + e)
+--R +
+--R 3 3 2 2 2 2 3 3 3
+--R (- 2a d + 6a b c d - 6a b c d + 2b c )f log(d x + c)
+--R +
+--R 3 2 3 3 3 2 2
+--R (b c d f - b d e f )x
+--R +
+--R 2 2 3 2 3 2 3 2 3 3 2
+--R ((6a b c d - 2b c d)f - 6a b d e f + 2b d e f)x
+--R /
+--R 3 4 4 3
+--R 2c d f - 2d e f
+--R Type: Expression(Integer)
+--E 262
+
+--S 263 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 3 3 2 3 2 2 3 2 3 3 3
+--R (2a d f - 6a b d e f + 6a b d e f - 2b d e )log(f x + e)
+--R +
+--R 3 3 2 2 2 2 3 3 3
+--R (- 2a d + 6a b c d - 6a b c d + 2b c )f log(d x + c)
+--R +
+--R 3 2 3 3 3 2 2
+--R (b c d f - b d e f )x
+--R +
+--R 2 2 3 2 3 2 3 2 3 3 2
+--R ((6a b c d - 2b c d)f - 6a b d e f + 2b d e f)x
+--R /
+--R 3 4 4 3
+--R 2c d f - 2d e f
+--R Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 500
+m0:=a0-r0
+--R
+--R
+--R (4) 0
+--R Type: Expression(Integer)
+--E 264
+
+--S 265 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 265
+
+)clear all
+
+--S 266 of 500
+t0:=(2+3*x)^m/((1-2*x)*(3+5*x))
+--R
+--R
+--R m
+--R (3x + 2)
+--R (1) - ------------
+--R 2
+--R 10x + x - 3
+--R Type: Expression(Integer)
+--E 266
+
+--S 267 of 500
+--r0:=2/77*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)-5/11*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 267
+
+--S 268 of 500
+--a0:=integrate(t0,x)
+--E 268
+
+--S 269 of 500
+--m0:=a0-r0
+--E 269
+
+--S 270 of 500
+--d0:=D(m0,x)
+--E 270
+
+)clear all
+
+--S 271 of 500
+t0:=(2+3*x)^8/((1-2*x)*(3+5*x))
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 6561x - 34992x - 81648x - 108864x - 90720x - 48384x - 16128x
+--R +
+--R - 3072x - 256
+--R /
+--R 2
+--R 10x + x - 3
+--R Type: Fraction(Polynomial(Integer))
+--E 271
+
+--S 272 of 500
+r0:=-40089855591/10000000*x-7136193339/2000000*x^2-345533877/100000*x^3-_
+ 111146499/40000*x^4-8018271/5000*x^5-114453/200*x^6-6561/70*x^7-_
+ 5764801/2816*log(1-2*x)+1/4296875*log(3+5*x)
+--R
+--R
+--R (2)
+--R 7
+--R 1792log(5x + 3) - 15763127734375log(- 2x + 1) - 721710000000x
+--R +
+--R 6 5 4
+--R - 4406440500000x - 12348137340000x - 21395701057500x
+--R +
+--R 3 2
+--R - 26606108529000x - 27474344355150x - 30869188805070x
+--R /
+--R 7700000000
+--R Type: Expression(Integer)
+--E 272
+
+--S 273 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 7
+--R 1792log(5x + 3) - 15763127734375log(2x - 1) - 721710000000x
+--R +
+--R 6 5 4
+--R - 4406440500000x - 12348137340000x - 21395701057500x
+--R +
+--R 3 2
+--R - 26606108529000x - 27474344355150x - 30869188805070x
+--R /
+--R 7700000000
+--R Type: Union(Expression(Integer),...)
+--E 273
+
+--S 274 of 500
+m0:=a0-r0
+--R
+--R
+--R - 5764801log(2x - 1) + 5764801log(- 2x + 1)
+--R (4) -------------------------------------------
+--R 2816
+--R Type: Expression(Integer)
+--E 274
+
+--S 275 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 275
+
+)clear all
+
+--S 276 of 500
+t0:=(2+3*x)^7/((1-2*x)*(3+5*x))
+--R
+--R
+--R (1)
+--R 7 6 5 4 3 2
+--R - 2187x - 10206x - 20412x - 22680x - 15120x - 6048x - 1344x - 128
+--R -----------------------------------------------------------------------
+--R 2
+--R 10x + x - 3
+--R Type: Fraction(Polynomial(Integer))
+--E 276
+
+--S 277 of 500
+r0:=-1127138733/1000000*x-187738857/200000*x^2-7889751/10000*x^3-_
+ 2006937/4000*x^4-99873/500*x^5-729/20*x^6-823543/1408*log(1-2*x)+_
+ 1/859375*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5
+--R 128log(5x + 3) - 64339296875log(- 2x + 1) - 4009500000x - 21972060000x
+--R +
+--R 4 3 2
+--R - 55190767500x - 86787261000x - 103256371350x - 123985260630x
+--R /
+--R 110000000
+--R Type: Expression(Integer)
+--E 277
+
+--S 278 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5
+--R 128log(5x + 3) - 64339296875log(2x - 1) - 4009500000x - 21972060000x
+--R +
+--R 4 3 2
+--R - 55190767500x - 86787261000x - 103256371350x - 123985260630x
+--R /
+--R 110000000
+--R Type: Union(Expression(Integer),...)
+--E 278
+
+--S 279 of 500
+m0:=a0-r0
+--R
+--R
+--R - 823543log(2x - 1) + 823543log(- 2x + 1)
+--R (4) -----------------------------------------
+--R 1408
+--R Type: Expression(Integer)
+--E 279
+
+--S 280 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 280
+
+)clear all
+
+--S 281 of 500
+t0:=(2+3*x)^6/((1-2*x)*(3+5*x))
+--R
+--R
+--R 6 5 4 3 2
+--R - 729x - 2916x - 4860x - 4320x - 2160x - 576x - 64
+--R (1) -------------------------------------------------------
+--R 2
+--R 10x + x - 3
+--R Type: Fraction(Polynomial(Integer))
+--E 281
+
+--S 282 of 500
+r0:=-31289679/100000*x-4693491/20000*x^2-159813/1000*x^3-_
+ 28431/400*x^4-729/50*x^5-117649/704*log(1-2*x)+1/171875*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4
+--R 64log(5x + 3) - 1838265625log(- 2x + 1) - 160380000x - 781852500x
+--R +
+--R 3 2
+--R - 1757943000x - 2581420050x - 3441864690x
+--R /
+--R 11000000
+--R Type: Expression(Integer)
+--E 282
+
+--S 283 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4
+--R 64log(5x + 3) - 1838265625log(2x - 1) - 160380000x - 781852500x
+--R +
+--R 3 2
+--R - 1757943000x - 2581420050x - 3441864690x
+--R /
+--R 11000000
+--R Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 500
+m0:=a0-r0
+--R
+--R
+--R - 117649log(2x - 1) + 117649log(- 2x + 1)
+--R (4) -----------------------------------------
+--R 704
+--R Type: Expression(Integer)
+--E 284
+
+--S 285 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 285
+
+)clear all
+
+--S 286 of 500
+t0:=(2+3*x)^5/((1-2*x)*(3+5*x))
+--R
+--R
+--R 5 4 3 2
+--R - 243x - 810x - 1080x - 720x - 240x - 32
+--R (1) --------------------------------------------
+--R 2
+--R 10x + x - 3
+--R Type: Fraction(Polynomial(Integer))
+--E 286
+
+--S 287 of 500
+r0:=-848277/10000*x-107433/2000*x^2-2619/100*x^3-243/40*x^4-_
+ 16807/352*log(1-2*x)+1/34375*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3
+--R 32log(5x + 3) - 52521875log(- 2x + 1) - 6682500x - 28809000x
+--R +
+--R 2
+--R - 59088150x - 93310470x
+--R /
+--R 1100000
+--R Type: Expression(Integer)
+--E 287
+
+--S 288 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R 32log(5x + 3) - 52521875log(2x - 1) - 6682500x - 28809000x - 59088150x
+--R +
+--R - 93310470x
+--R /
+--R 1100000
+--R Type: Union(Expression(Integer),...)
+--E 288
+
+--S 289 of 500
+m0:=a0-r0
+--R
+--R
+--R - 16807log(2x - 1) + 16807log(- 2x + 1)
+--R (4) ---------------------------------------
+--R 352
+--R Type: Expression(Integer)
+--E 289
+
+--S 290 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 290
+
+)clear all
+
+--S 291 of 500
+t0:=(2+3*x)^4/((1-2*x)*(3+5*x))
+--R
+--R
+--R 4 3 2
+--R - 81x - 216x - 216x - 96x - 16
+--R (1) ---------------------------------
+--R 2
+--R 10x + x - 3
+--R Type: Fraction(Polynomial(Integer))
+--E 291
+
+--S 292 of 500
+r0:=-21951/1000*x-2079/200*x^2-27/10*x^3-2401/176*log(1-2*x)+1/6875*log(3+5*x)
+--R
+--R
+--R 3 2
+--R 16log(5x + 3) - 1500625log(- 2x + 1) - 297000x - 1143450x - 2414610x
+--R (2) ----------------------------------------------------------------------
+--R 110000
+--R Type: Expression(Integer)
+--E 292
+
+--S 293 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 3 2
+--R 16log(5x + 3) - 1500625log(2x - 1) - 297000x - 1143450x - 2414610x
+--R (3) --------------------------------------------------------------------
+--R 110000
+--R Type: Union(Expression(Integer),...)
+--E 293
+
+--S 294 of 500
+m0:=a0-r0
+--R
+--R
+--R - 2401log(2x - 1) + 2401log(- 2x + 1)
+--R (4) -------------------------------------
+--R 176
+--R Type: Expression(Integer)
+--E 294
+
+--S 295 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 295
+
+)clear all
+
+--S 296 of 500
+t0:=(2+3*x)^3/((1-2*x)*(3+5*x))
+--R
+--R
+--R 3 2
+--R - 27x - 54x - 36x - 8
+--R (1) -----------------------
+--R 2
+--R 10x + x - 3
+--R Type: Fraction(Polynomial(Integer))
+--E 296
+
+--S 297 of 500
+r0:=-513/100*x-27/20*x^2-343/88*log(1-2*x)+1/1375*log(3+5*x)
+--R
+--R
+--R 2
+--R 8log(5x + 3) - 42875log(- 2x + 1) - 14850x - 56430x
+--R (2) ----------------------------------------------------
+--R 11000
+--R Type: Expression(Integer)
+--E 297
+
+--S 298 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2
+--R 8log(5x + 3) - 42875log(2x - 1) - 14850x - 56430x
+--R (3) --------------------------------------------------
+--R 11000
+--R Type: Union(Expression(Integer),...)
+--E 298
+
+--S 299 of 500
+m0:=a0-r0
+--R
+--R
+--R - 343log(2x - 1) + 343log(- 2x + 1)
+--R (4) -----------------------------------
+--R 88
+--R Type: Expression(Integer)
+--E 299
+
+--S 300 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 300
+
+)clear all
+
+--S 301 of 500
+t0:=(2+3*x)^2/((1-2*x)*(3+5*x))
+--R
+--R
+--R 2
+--R - 9x - 12x - 4
+--R (1) ---------------
+--R 2
+--R 10x + x - 3
+--R Type: Fraction(Polynomial(Integer))
+--E 301
+
+--S 302 of 500
+r0:=-9/10*x-49/44*log(1-2*x)+1/275*log(3+5*x)
+--R
+--R
+--R 4log(5x + 3) - 1225log(- 2x + 1) - 990x
+--R (2) ---------------------------------------
+--R 1100
+--R Type: Expression(Integer)
+--E 302
+
+--S 303 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 4log(5x + 3) - 1225log(2x - 1) - 990x
+--R (3) -------------------------------------
+--R 1100
+--R Type: Union(Expression(Integer),...)
+--E 303
+
+--S 304 of 500
+m0:=a0-r0
+--R
+--R
+--R - 49log(2x - 1) + 49log(- 2x + 1)
+--R (4) ---------------------------------
+--R 44
+--R Type: Expression(Integer)
+--E 304
+
+--S 305 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 305
+
+)clear all
+
+--S 306 of 500
+t0:=(2+3*x)/((1-2*x)*(3+5*x))
+--R
+--R
+--R - 3x - 2
+--R (1) ------------
+--R 2
+--R 10x + x - 3
+--R Type: Fraction(Polynomial(Integer))
+--E 306
+
+--S 307 of 500
+r0:=-7/22*log(1-2*x)+1/55*log(3+5*x)
+--R
+--R
+--R 2log(5x + 3) - 35log(- 2x + 1)
+--R (2) ------------------------------
+--R 110
+--R Type: Expression(Integer)
+--E 307
+
+--S 308 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 2log(5x + 3) - 35log(2x - 1)
+--R (3) ----------------------------
+--R 110
+--R Type: Union(Expression(Integer),...)
+--E 308
+
+--S 309 of 500
+m0:=a0-r0
+--R
+--R
+--R - 7log(2x - 1) + 7log(- 2x + 1)
+--R (4) -------------------------------
+--R 22
+--R Type: Expression(Integer)
+--E 309
+
+--S 310 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 310
+
+)clear all
+
+--S 311 of 500
+t0:=1/((1-2*x)*(3+5*x))
+--R
+--R
+--R 1
+--R (1) - ------------
+--R 2
+--R 10x + x - 3
+--R Type: Fraction(Polynomial(Integer))
+--E 311
+
+--S 312 of 500
+r0:=-1/11*log(1-2*x)+1/11*log(3+5*x)
+--R
+--R
+--R log(5x + 3) - log(- 2x + 1)
+--R (2) ---------------------------
+--R 11
+--R Type: Expression(Integer)
+--E 312
+
+--S 313 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R log(5x + 3) - log(2x - 1)
+--R (3) -------------------------
+--R 11
+--R Type: Union(Expression(Integer),...)
+--E 313
+
+--S 314 of 500
+m0:=a0-r0
+--R
+--R
+--R - log(2x - 1) + log(- 2x + 1)
+--R (4) -----------------------------
+--R 11
+--R Type: Expression(Integer)
+--E 314
+
+--S 315 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 315
+
+)clear all
+
+--S 316 of 500
+t0:=1/((1-2*x)*(2+3*x)*(3+5*x))
+--R
+--R
+--R 1
+--R (1) - --------------------
+--R 3 2
+--R 30x + 23x - 7x - 6
+--R Type: Fraction(Polynomial(Integer))
+--E 316
+
+--S 317 of 500
+r0:=-2/77*log(1-2*x)-3/7*log(2+3*x)+5/11*log(3+5*x)
+--R
+--R
+--R 35log(5x + 3) - 33log(3x + 2) - 2log(- 2x + 1)
+--R (2) ----------------------------------------------
+--R 77
+--R Type: Expression(Integer)
+--E 317
+
+--S 318 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R 35log(5x + 3) - 33log(3x + 2) - 2log(2x - 1)
+--R (3) --------------------------------------------
+--R 77
+--R Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 500
+m0:=a0-r0
+--R
+--R
+--R - 2log(2x - 1) + 2log(- 2x + 1)
+--R (4) -------------------------------
+--R 77
+--R Type: Expression(Integer)
+--E 319
+
+--S 320 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 320
+
+)clear all
+
+--S 321 of 500
+t0:=1/((1-2*x)*(2+3*x)^2*(3+5*x))
+--R
+--R
+--R 1
+--R (1) - ------------------------------
+--R 4 3 2
+--R 90x + 129x + 25x - 32x - 12
+--R Type: Fraction(Polynomial(Integer))
+--E 321
+
+--S 322 of 500
+r0:=3/7/(2+3*x)-4/539*log(1-2*x)-111/49*log(2+3*x)+25/11*log(3+5*x)
+--R
+--R
+--R (2)
+--R (3675x + 2450)log(5x + 3) + (- 3663x - 2442)log(3x + 2)
+--R +
+--R (- 12x - 8)log(- 2x + 1) + 231
+--R /
+--R 1617x + 1078
+--R Type: Expression(Integer)
+--E 322
+
+--S 323 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R (3675x + 2450)log(5x + 3) + (- 3663x - 2442)log(3x + 2)
+--R +
+--R (- 12x - 8)log(2x - 1) + 231
+--R /
+--R 1617x + 1078
+--R Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 500
+m0:=a0-r0
+--R
+--R
+--R - 4log(2x - 1) + 4log(- 2x + 1)
+--R (4) -------------------------------
+--R 539
+--R Type: Expression(Integer)
+--E 324
+
+--S 325 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 325
+
+)clear all
+
+--S 326 of 500
+t0:=1/((1-2*x)*(2+3*x)^3*(3+5*x))
+--R
+--R
+--R 1
+--R (1) - ----------------------------------------
+--R 5 4 3 2
+--R 270x + 567x + 333x - 46x - 100x - 24
+--R Type: Fraction(Polynomial(Integer))
+--E 326
+
+--S 327 of 500
+r0:=3/14/(2+3*x)^2+111/49/(2+3*x)-8/3773*log(1-2*x)-3897/343*log(2+3*x)+_
+ 125/11*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (771750x + 1029000x + 343000)log(5x + 3)
+--R +
+--R 2
+--R (- 771606x - 1028808x - 342936)log(3x + 2)
+--R +
+--R 2
+--R (- 144x - 192x - 64)log(- 2x + 1) + 51282x + 35805
+--R /
+--R 2
+--R 67914x + 90552x + 30184
+--R Type: Expression(Integer)
+--E 327
+
+--S 328 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (771750x + 1029000x + 343000)log(5x + 3)
+--R +
+--R 2
+--R (- 771606x - 1028808x - 342936)log(3x + 2)
+--R +
+--R 2
+--R (- 144x - 192x - 64)log(2x - 1) + 51282x + 35805
+--R /
+--R 2
+--R 67914x + 90552x + 30184
+--R Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 500
+m0:=a0-r0
+--R
+--R
+--R - 8log(2x - 1) + 8log(- 2x + 1)
+--R (4) -------------------------------
+--R 3773
+--R Type: Expression(Integer)
+--E 329
+
+--S 330 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 330
+
+)clear all
+
+--S 331 of 500
+t0:=1/((1-2*x)*(2+3*x)^4*(3+5*x))
+--R
+--R
+--R 1
+--R (1) - ---------------------------------------------------
+--R 6 5 4 3 2
+--R 810x + 2241x + 2133x + 528x - 392x - 272x - 48
+--R Type: Fraction(Polynomial(Integer))
+--E 331
+
+--S 332 of 500
+r0:=1/7/(2+3*x)^3+111/98/(2+3*x)^2+3897/343/(2+3*x)-16/26411*log(1-2*x)-_
+ 136419/2401*log(2+3*x)+625/11*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (81033750x + 162067500x + 108045000x + 24010000)log(5x + 3)
+--R +
+--R 3 2
+--R (- 81032886x - 162065772x - 108043848x - 24009744)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 864x - 1728x - 1152x - 256)log(- 2x + 1) + 5401242x + 7381143x
+--R +
+--R 2527756
+--R /
+--R 3 2
+--R 1426194x + 2852388x + 1901592x + 422576
+--R Type: Expression(Integer)
+--E 332
+
+--S 333 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (81033750x + 162067500x + 108045000x + 24010000)log(5x + 3)
+--R +
+--R 3 2
+--R (- 81032886x - 162065772x - 108043848x - 24009744)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 864x - 1728x - 1152x - 256)log(2x - 1) + 5401242x + 7381143x
+--R +
+--R 2527756
+--R /
+--R 3 2
+--R 1426194x + 2852388x + 1901592x + 422576
+--R Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 500
+m0:=a0-r0
+--R
+--R
+--R - 16log(2x - 1) + 16log(- 2x + 1)
+--R (4) ---------------------------------
+--R 26411
+--R Type: Expression(Integer)
+--E 334
+
+--S 335 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 335
+
+)clear all
+
+--S 336 of 500
+t0:=1/((1-2*x)*(2+3*x)^5*(3+5*x))
+--R
+--R
+--R 1
+--R (1) - ---------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 2430x + 8343x + 10881x + 5850x - 120x - 1600x - 688x - 96
+--R Type: Fraction(Polynomial(Integer))
+--E 336
+
+--S 337 of 500
+r0:=3/28/(2+3*x)^4+37/49/(2+3*x)^3+3897/686/(2+3*x)^2+136419/2401/(2+3*x)-_
+ 32/184877*log(1-2*x)-4774713/16807*log(2+3*x)+3125/11*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R 17017087500x + 45378900000x + 45378900000x + 20168400000x
+--R +
+--R 3361400000
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R - 17017077132x - 45378872352x - 45378872352x - 20168387712x
+--R +
+--R - 3361397952
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2
+--R (- 10368x - 27648x - 27648x - 12288x - 2048)log(- 2x + 1)
+--R +
+--R 3 2
+--R 1134460404x + 2306729502x + 1564700676x + 354136321
+--R /
+--R 4 3 2
+--R 59900148x + 159733728x + 159733728x + 70992768x + 11832128
+--R Type: Expression(Integer)
+--E 337
+
+--S 338 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R 17017087500x + 45378900000x + 45378900000x + 20168400000x
+--R +
+--R 3361400000
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R - 17017077132x - 45378872352x - 45378872352x - 20168387712x
+--R +
+--R - 3361397952
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2 3
+--R (- 10368x - 27648x - 27648x - 12288x - 2048)log(2x - 1) + 1134460404x
+--R +
+--R 2
+--R 2306729502x + 1564700676x + 354136321
+--R /
+--R 4 3 2
+--R 59900148x + 159733728x + 159733728x + 70992768x + 11832128
+--R Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 500
+m0:=a0-r0
+--R
+--R
+--R - 32log(2x - 1) + 32log(- 2x + 1)
+--R (4) ---------------------------------
+--R 184877
+--R Type: Expression(Integer)
+--E 339
+
+--S 340 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 340
+
+)clear all
+
+--S 341 of 500
+t0:=1/((1-2*x)*(2+3*x)^6*(3+5*x))
+--R
+--R
+--R (1)
+--R -
+--R 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 7290x + 29889x + 49329x + 39312x + 11340x - 5040x - 5264x
+--R +
+--R - 1664x - 192
+--R Type: Fraction(Polynomial(Integer))
+--E 341
+
+--S 342 of 500
+r0:=3/35/(2+3*x)^5+111/196/(2+3*x)^4+1299/343/(2+3*x)^3+_
+ 136419/4802/(2+3*x)^2+4774713/16807/(2+3*x)-64/1294139*log(1-2*x)-_
+ 167115051/117649*log(2+3*x)+15625/11*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3
+--R 8933970937500x + 29779903125000x + 39706537500000x
+--R +
+--R 2
+--R 26471025000000x + 8823675000000x + 1176490000000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3
+--R - 8933970626460x - 29779902088200x - 39706536117600x
+--R +
+--R 2
+--R - 26471024078400x - 8823674692800x - 1176489959040
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R (- 311040x - 1036800x - 1382400x - 921600x - 307200x - 40960)
+--R *
+--R log(- 2x + 1)
+--R +
+--R 4 3 2
+--R 595597699620x + 1608113589390x + 1628848849320x + 733584557475x
+--R +
+--R 123954940494
+--R /
+--R 5 4 3 2
+--R 6289515540x + 20965051800x + 27953402400x + 18635601600x
+--R +
+--R 6211867200x + 828248960
+--R Type: Expression(Integer)
+--E 342
+
+--S 343 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3
+--R 8933970937500x + 29779903125000x + 39706537500000x
+--R +
+--R 2
+--R 26471025000000x + 8823675000000x + 1176490000000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3
+--R - 8933970626460x - 29779902088200x - 39706536117600x
+--R +
+--R 2
+--R - 26471024078400x - 8823674692800x - 1176489959040
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R (- 311040x - 1036800x - 1382400x - 921600x - 307200x - 40960)
+--R *
+--R log(2x - 1)
+--R +
+--R 4 3 2
+--R 595597699620x + 1608113589390x + 1628848849320x + 733584557475x
+--R +
+--R 123954940494
+--R /
+--R 5 4 3 2
+--R 6289515540x + 20965051800x + 27953402400x + 18635601600x
+--R +
+--R 6211867200x + 828248960
+--R Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 500
+m0:=a0-r0
+--R
+--R
+--R - 64log(2x - 1) + 64log(- 2x + 1)
+--R (4) ---------------------------------
+--R 1294139
+--R Type: Expression(Integer)
+--E 344
+
+--S 345 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 345
+
+)clear all
+
+--S 346 of 500
+t0:=1/((1-2*x)*(2+3*x)^7*(3+5*x))
+--R
+--R
+--R (1)
+--R -
+--R 1
+--R /
+--R 9 8 7 6 5 4 3
+--R 21870x + 104247x + 207765x + 216594x + 112644x + 7560x - 25872x
+--R +
+--R 2
+--R - 15520x - 3904x - 384
+--R Type: Fraction(Polynomial(Integer))
+--E 346
+
+--S 347 of 500
+r0:=1/14/(2+3*x)^6+111/245/(2+3*x)^5+3897/1372/(2+3*x)^4+_
+ 45473/2401/(2+3*x)^3+4774713/33614/(2+3*x)^2+_
+ 167115051/117649/(2+3*x)-128/9058973*log(1-2*x)-_
+ 5849026977/823543*log(2+3*x)+78125/11*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4
+--R 938066948437500x + 3752267793750000x + 6253779656250000x
+--R +
+--R 3 2
+--R 5558915250000000x + 2779457625000000x + 741188700000000x
+--R +
+--R 82354300000000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4
+--R - 938066946571260x - 3752267786285040x - 6253779643808400x
+--R +
+--R 3 2
+--R - 5558915238940800x - 2779457619470400x - 741188698525440x
+--R +
+--R - 82354299836160
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 1866240x - 7464960x - 12441600x - 11059200x - 5529600x
+--R +
+--R - 1474560x - 163840
+--R *
+--R log(- 2x + 1)
+--R +
+--R 5 4 3
+--R 62537794385220x + 210543906566070x + 283597312285980x
+--R +
+--R 2
+--R 191046007176255x + 64366302153384x + 8676887688546
+--R /
+--R 6 5 4 3
+--R 132079826340x + 528319305360x + 880532175600x + 782695267200x
+--R +
+--R 2
+--R 391347633600x + 104359368960x + 11595485440
+--R Type: Expression(Integer)
+--E 347
+
+--S 348 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4
+--R 938066948437500x + 3752267793750000x + 6253779656250000x
+--R +
+--R 3 2
+--R 5558915250000000x + 2779457625000000x + 741188700000000x
+--R +
+--R 82354300000000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4
+--R - 938066946571260x - 3752267786285040x - 6253779643808400x
+--R +
+--R 3 2
+--R - 5558915238940800x - 2779457619470400x - 741188698525440x
+--R +
+--R - 82354299836160
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 1866240x - 7464960x - 12441600x - 11059200x - 5529600x
+--R +
+--R - 1474560x - 163840
+--R *
+--R log(2x - 1)
+--R +
+--R 5 4 3
+--R 62537794385220x + 210543906566070x + 283597312285980x
+--R +
+--R 2
+--R 191046007176255x + 64366302153384x + 8676887688546
+--R /
+--R 6 5 4 3
+--R 132079826340x + 528319305360x + 880532175600x + 782695267200x
+--R +
+--R 2
+--R 391347633600x + 104359368960x + 11595485440
+--R Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 500
+m0:=a0-r0
+--R
+--R
+--R - 128log(2x - 1) + 128log(- 2x + 1)
+--R (4) -----------------------------------
+--R 9058973
+--R Type: Expression(Integer)
+--E 349
+
+--S 350 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 350
+
+)clear all
+
+--S 351 of 500
+t0:=(2+3*x)^m/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R m
+--R (3x + 2)
+--R (1) - ---------------------
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Expression(Integer)
+--E 351
+
+--S 352 of 500
+--r0:=-5/11*(2+3*x)^(1+m)/(3+5*x)+4/847*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)-10/121*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)-15/11*m*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 352
+
+--S 353 of 500
+--a0:=integrate(t0,x)
+--E 353
+
+--S 354 of 500
+--m0:=a0-r0
+--E 354
+
+--S 355 of 500
+--d0:=D(m0,x)
+--E 355
+
+)clear all
+
+--S 356 of 500
+t0:=(2+3*x)^8/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 6561x - 34992x - 81648x - 108864x - 90720x - 48384x - 16128x
+--R +
+--R - 3072x - 256
+--R /
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Fraction(Polynomial(Integer))
+--E 356
+
+--S 357 of 500
+r0:=-3579885909/5000000*x-118543581/200000*x^2-24660207/50000*x^3-_
+ 6194313/20000*x^4-303993/2500*x^5-2187/100*x^6+(-1/4296875)/(3+5*x)-_
+ 5764801/15488*log(1-2*x)+266/47265625*log(3+5*x)
+--R
+--R
+--R (2)
+--R (170240x + 102144)log(5x + 3)
+--R +
+--R 7
+--R (- 11259376953125x - 6755626171875)log(- 2x + 1) - 661567500000x
+--R +
+--R 6 5 4
+--R - 4075255800000x - 11575887592500x - 20540764282500x
+--R +
+--R 3 2
+--R - 26881371767250x - 32416139725200x - 12994985849670x - 1408
+--R /
+--R 30250000000x + 18150000000
+--R Type: Expression(Integer)
+--E 357
+
+--S 358 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R (170240x + 102144)log(5x + 3)
+--R +
+--R 7
+--R (- 11259376953125x - 6755626171875)log(2x - 1) - 661567500000x
+--R +
+--R 6 5 4
+--R - 4075255800000x - 11575887592500x - 20540764282500x
+--R +
+--R 3 2
+--R - 26881371767250x - 32416139725200x - 12994985849670x - 1408
+--R /
+--R 30250000000x + 18150000000
+--R Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 500
+m0:=a0-r0
+--R
+--R
+--R - 5764801log(2x - 1) + 5764801log(- 2x + 1)
+--R (4) -------------------------------------------
+--R 15488
+--R Type: Expression(Integer)
+--E 359
+
+--S 360 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 360
+
+)clear all
+
+--S 361 of 500
+t0:=(2+3*x)^7/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R 7 6 5 4 3 2
+--R - 2187x - 10206x - 20412x - 22680x - 15120x - 6048x - 1344x - 128
+--R -----------------------------------------------------------------------
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Fraction(Polynomial(Integer))
+--E 361
+
+--S 362 of 500
+r0:=-19846971/100000*x-14750667/100000*x^2-495477/5000*x^3-86751/2000*x^4-_
+ 2187/250*x^5+(-1/859375)/(3+5*x)-823543/7744*log(1-2*x)+_
+ 233/9453125*log(3+5*x)
+--R
+--R
+--R (2)
+--R (74560x + 44736)log(5x + 3)
+--R +
+--R 6
+--R (- 321696484375x - 193017890625)log(- 2x + 1) - 26462700000x
+--R +
+--R 5 4 3 2
+--R - 147088507500x - 378490117500x - 626065827750x - 868095478800x
+--R +
+--R - 360222523650x - 704
+--R /
+--R 3025000000x + 1815000000
+--R Type: Expression(Integer)
+--E 362
+
+--S 363 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R (74560x + 44736)log(5x + 3) + (- 321696484375x - 193017890625)log(2x - 1)
+--R +
+--R 6 5 4 3
+--R - 26462700000x - 147088507500x - 378490117500x - 626065827750x
+--R +
+--R 2
+--R - 868095478800x - 360222523650x - 704
+--R /
+--R 3025000000x + 1815000000
+--R Type: Union(Expression(Integer),...)
+--E 363
+
+--S 364 of 500
+m0:=a0-r0
+--R
+--R
+--R - 823543log(2x - 1) + 823543log(- 2x + 1)
+--R (4) -----------------------------------------
+--R 7744
+--R Type: Expression(Integer)
+--E 364
+
+--S 365 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 365
+
+)clear all
+
+--S 366 of 500
+t0:=(2+3*x)^6/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R 6 5 4 3 2
+--R - 729x - 2916x - 4860x - 4320x - 2160x - 576x - 64
+--R (1) -------------------------------------------------------
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Fraction(Polynomial(Integer))
+--E 366
+
+--S 367 of 500
+r0:=-2682909/50000*x-335097/10000*x^2-8019/500*x^3-729/200*x^4+_
+ (-1/171875)/(3+5*x)-117649/3872*log(1-2*x)+8/75625*log(3+5*x)
+--R
+--R
+--R (2)
+--R (32000x + 19200)log(5x + 3) + (- 9191328125x - 5514796875)log(- 2x + 1)
+--R +
+--R 5 4 3 2
+--R - 1102612500x - 5513062500x - 13047581250x - 22313610000x
+--R +
+--R - 9738959670x - 352
+--R /
+--R 302500000x + 181500000
+--R Type: Expression(Integer)
+--E 367
+
+--S 368 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R (32000x + 19200)log(5x + 3) + (- 9191328125x - 5514796875)log(2x - 1)
+--R +
+--R 5 4 3 2
+--R - 1102612500x - 5513062500x - 13047581250x - 22313610000x
+--R +
+--R - 9738959670x - 352
+--R /
+--R 302500000x + 181500000
+--R Type: Union(Expression(Integer),...)
+--E 368
+
+--S 369 of 500
+m0:=a0-r0
+--R
+--R
+--R - 117649log(2x - 1) + 117649log(- 2x + 1)
+--R (4) -----------------------------------------
+--R 3872
+--R Type: Expression(Integer)
+--E 369
+
+--S 370 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 370
+
+)clear all
+
+--S 371 of 500
+t0:=(2+3*x)^5/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R 5 4 3 2
+--R - 243x - 810x - 1080x - 720x - 240x - 32
+--R (1) --------------------------------------------
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Fraction(Polynomial(Integer))
+--E 371
+
+--S 372 of 500
+r0:=-69039/5000*x-6399/1000*x^2-81/50*x^3+(-1/34375)/(3+5*x)-_
+ 16807/1936*log(1-2*x)+167/378125*log(3+5*x)
+--R
+--R
+--R (2)
+--R (13360x + 8016)log(5x + 3) + (- 262609375x - 157565625)log(- 2x + 1)
+--R +
+--R 4 3 2
+--R - 49005000x - 222972750x - 533827800x - 250611570x - 176
+--R /
+--R 30250000x + 18150000
+--R Type: Expression(Integer)
+--E 372
+
+--S 373 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R (13360x + 8016)log(5x + 3) + (- 262609375x - 157565625)log(2x - 1)
+--R +
+--R 4 3 2
+--R - 49005000x - 222972750x - 533827800x - 250611570x - 176
+--R /
+--R 30250000x + 18150000
+--R Type: Union(Expression(Integer),...)
+--E 373
+
+--S 374 of 500
+m0:=a0-r0
+--R
+--R
+--R - 16807log(2x - 1) + 16807log(- 2x + 1)
+--R (4) ---------------------------------------
+--R 1936
+--R Type: Expression(Integer)
+--E 374
+
+--S 375 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 375
+
+)clear all
+
+--S 376 of 500
+t0:=(2+3*x)^4/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R 4 3 2
+--R - 81x - 216x - 216x - 96x - 16
+--R (1) ---------------------------------
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Fraction(Polynomial(Integer))
+--E 376
+
+--S 377 of 500
+r0:=-1593/500*x-81/100*x^2+(-1/6875)/(3+5*x)-2401/968*log(1-2*x)+_
+ 134/75625*log(3+5*x)
+--R
+--R
+--R (2)
+--R (5360x + 3216)log(5x + 3) + (- 7503125x - 4501875)log(- 2x + 1)
+--R +
+--R 3 2
+--R - 2450250x - 11107800x - 5782590x - 88
+--R /
+--R 3025000x + 1815000
+--R Type: Expression(Integer)
+--E 377
+
+--S 378 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3
+--R (5360x + 3216)log(5x + 3) + (- 7503125x - 4501875)log(2x - 1) - 2450250x
+--R +
+--R 2
+--R - 11107800x - 5782590x - 88
+--R /
+--R 3025000x + 1815000
+--R Type: Union(Expression(Integer),...)
+--E 378
+
+--S 379 of 500
+m0:=a0-r0
+--R
+--R
+--R - 2401log(2x - 1) + 2401log(- 2x + 1)
+--R (4) -------------------------------------
+--R 968
+--R Type: Expression(Integer)
+--E 379
+
+--S 380 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 380
+
+)clear all
+
+--S 381 of 500
+t0:=(2+3*x)^3/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R 3 2
+--R - 27x - 54x - 36x - 8
+--R (1) -----------------------
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Fraction(Polynomial(Integer))
+--E 381
+
+--S 382 of 500
+r0:=-27/50*x+(-1/1375)/(3+5*x)-343/484*log(1-2*x)+101/15125*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (2020x + 1212)log(5x + 3) + (- 214375x - 128625)log(- 2x + 1) - 163350x
+--R +
+--R - 98010x - 44
+--R /
+--R 302500x + 181500
+--R Type: Expression(Integer)
+--E 382
+
+--S 383 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (2020x + 1212)log(5x + 3) + (- 214375x - 128625)log(2x - 1) - 163350x
+--R +
+--R - 98010x - 44
+--R /
+--R 302500x + 181500
+--R Type: Union(Expression(Integer),...)
+--E 383
+
+--S 384 of 500
+m0:=a0-r0
+--R
+--R
+--R - 343log(2x - 1) + 343log(- 2x + 1)
+--R (4) -----------------------------------
+--R 484
+--R Type: Expression(Integer)
+--E 384
+
+--S 385 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 385
+
+)clear all
+
+--S 386 of 500
+t0:=(2+3*x)^2/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R 2
+--R - 9x - 12x - 4
+--R (1) ---------------------
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Fraction(Polynomial(Integer))
+--E 386
+
+--S 387 of 500
+r0:=(-1/275)/(3+5*x)-49/242*log(1-2*x)+68/3025*log(3+5*x)
+--R
+--R
+--R (680x + 408)log(5x + 3) + (- 6125x - 3675)log(- 2x + 1) - 22
+--R (2) ------------------------------------------------------------
+--R 30250x + 18150
+--R Type: Expression(Integer)
+--E 387
+
+--S 388 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (680x + 408)log(5x + 3) + (- 6125x - 3675)log(2x - 1) - 22
+--R (3) ----------------------------------------------------------
+--R 30250x + 18150
+--R Type: Union(Expression(Integer),...)
+--E 388
+
+--S 389 of 500
+m0:=a0-r0
+--R
+--R
+--R - 49log(2x - 1) + 49log(- 2x + 1)
+--R (4) ---------------------------------
+--R 242
+--R Type: Expression(Integer)
+--E 389
+
+--S 390 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 390
+
+)clear all
+
+--S 391 of 500
+t0:=(2+3*x)/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R - 3x - 2
+--R (1) ---------------------
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Fraction(Polynomial(Integer))
+--E 391
+
+--S 392 of 500
+r0:=(-1/55)/(3+5*x)-7/121*log(1-2*x)+7/121*log(3+5*x)
+--R
+--R
+--R (175x + 105)log(5x + 3) + (- 175x - 105)log(- 2x + 1) - 11
+--R (2) ----------------------------------------------------------
+--R 3025x + 1815
+--R Type: Expression(Integer)
+--E 392
+
+--S 393 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (175x + 105)log(5x + 3) + (- 175x - 105)log(2x - 1) - 11
+--R (3) --------------------------------------------------------
+--R 3025x + 1815
+--R Type: Union(Expression(Integer),...)
+--E 393
+
+--S 394 of 500
+m0:=a0-r0
+--R
+--R
+--R - 7log(2x - 1) + 7log(- 2x + 1)
+--R (4) -------------------------------
+--R 121
+--R Type: Expression(Integer)
+--E 394
+
+--S 395 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 395
+
+)clear all
+
+--S 396 of 500
+t0:=1/((1-2*x)*(3+5*x)^2)
+--R
+--R
+--R 1
+--R (1) - ---------------------
+--R 3 2
+--R 50x + 35x - 12x - 9
+--R Type: Fraction(Polynomial(Integer))
+--E 396
+
+--S 397 of 500
+r0:=(-1/11)/(3+5*x)-2/121*log(1-2*x)+2/121*log(3+5*x)
+--R
+--R
+--R (10x + 6)log(5x + 3) + (- 10x - 6)log(- 2x + 1) - 11
+--R (2) ----------------------------------------------------
+--R 605x + 363
+--R Type: Expression(Integer)
+--E 397
+
+--S 398 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (10x + 6)log(5x + 3) + (- 10x - 6)log(2x - 1) - 11
+--R (3) --------------------------------------------------
+--R 605x + 363
+--R Type: Union(Expression(Integer),...)
+--E 398
+
+--S 399 of 500
+m0:=a0-r0
+--R
+--R
+--R - 2log(2x - 1) + 2log(- 2x + 1)
+--R (4) -------------------------------
+--R 121
+--R Type: Expression(Integer)
+--E 399
+
+--S 400 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 400
+
+)clear all
+
+--S 401 of 500
+t0:=1/((1-2*x)*(2+3*x)*(3+5*x)^2)
+--R
+--R
+--R 1
+--R (1) - -------------------------------
+--R 4 3 2
+--R 150x + 205x + 34x - 51x - 18
+--R Type: Fraction(Polynomial(Integer))
+--E 401
+
+--S 402 of 500
+r0:=(-5/11)/(3+5*x)-4/847*log(1-2*x)+9/7*log(2+3*x)-155/121*log(3+5*x)
+--R
+--R
+--R (2)
+--R (- 5425x - 3255)log(5x + 3) + (5445x + 3267)log(3x + 2)
+--R +
+--R (- 20x - 12)log(- 2x + 1) - 385
+--R /
+--R 4235x + 2541
+--R Type: Expression(Integer)
+--E 402
+
+--S 403 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R (- 5425x - 3255)log(5x + 3) + (5445x + 3267)log(3x + 2)
+--R +
+--R (- 20x - 12)log(2x - 1) - 385
+--R /
+--R 4235x + 2541
+--R Type: Union(Expression(Integer),...)
+--E 403
+
+--S 404 of 500
+m0:=a0-r0
+--R
+--R
+--R - 4log(2x - 1) + 4log(- 2x + 1)
+--R (4) -------------------------------
+--R 847
+--R Type: Expression(Integer)
+--E 404
+
+--S 405 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 405
+
+)clear all
+
+--S 406 of 500
+t0:=1/((1-2*x)*(2+3*x)^2*(3+5*x)^2)
+--R
+--R
+--R 1
+--R (1) - ----------------------------------------
+--R 5 4 3 2
+--R 450x + 915x + 512x - 85x - 156x - 36
+--R Type: Fraction(Polynomial(Integer))
+--E 406
+
+--S 407 of 500
+r0:=(-9/7)/(2+3*x)+(-25/11)/(3+5*x)-8/5929*log(1-2*x)+648/49*log(2+3*x)-_
+ 1600/121*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (- 1176000x - 1489600x - 470400)log(5x + 3)
+--R +
+--R 2
+--R (1176120x + 1489752x + 470448)log(3x + 2)
+--R +
+--R 2
+--R (- 120x - 152x - 48)log(- 2x + 1) - 78540x - 49819
+--R /
+--R 2
+--R 88935x + 112651x + 35574
+--R Type: Expression(Integer)
+--E 407
+
+--S 408 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (- 1176000x - 1489600x - 470400)log(5x + 3)
+--R +
+--R 2
+--R (1176120x + 1489752x + 470448)log(3x + 2)
+--R +
+--R 2
+--R (- 120x - 152x - 48)log(2x - 1) - 78540x - 49819
+--R /
+--R 2
+--R 88935x + 112651x + 35574
+--R Type: Union(Expression(Integer),...)
+--E 408
+
+--S 409 of 500
+m0:=a0-r0
+--R
+--R
+--R - 8log(2x - 1) + 8log(- 2x + 1)
+--R (4) -------------------------------
+--R 5929
+--R Type: Expression(Integer)
+--E 409
+
+--S 410 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 410
+
+)clear all
+
+--S 411 of 500
+t0:=1/((1-2*x)*(2+3*x)^3*(3+5*x)^2)
+--R
+--R
+--R 1
+--R (1) - ----------------------------------------------------
+--R 6 5 4 3 2
+--R 1350x + 3645x + 3366x + 769x - 638x - 420x - 72
+--R Type: Fraction(Polynomial(Integer))
+--E 411
+
+--S 412 of 500
+r0:=(-9/14)/(2+3*x)^2+(-648/49)/(2+3*x)+(-125/11)/(3+5*x)-_
+ 16/41503*log(1-2*x)+34371/343*log(2+3*x)-12125/121*log(3+5*x)
+--R
+--R
+--R (2)
+--R 3 2
+--R (- 374298750x - 723644250x - 465794000x - 99813000)log(5x + 3)
+--R +
+--R 3 2
+--R (374300190x + 723647034x + 465795792x + 99813384)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 1440x - 2784x - 1792x - 384)log(- 2x + 1) - 24954930x - 32442333x
+--R +
+--R - 10519355
+--R /
+--R 3 2
+--R 3735270x + 7221522x + 4648336x + 996072
+--R Type: Expression(Integer)
+--E 412
+
+--S 413 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 3 2
+--R (- 374298750x - 723644250x - 465794000x - 99813000)log(5x + 3)
+--R +
+--R 3 2
+--R (374300190x + 723647034x + 465795792x + 99813384)log(3x + 2)
+--R +
+--R 3 2 2
+--R (- 1440x - 2784x - 1792x - 384)log(2x - 1) - 24954930x - 32442333x
+--R +
+--R - 10519355
+--R /
+--R 3 2
+--R 3735270x + 7221522x + 4648336x + 996072
+--R Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 500
+m0:=a0-r0
+--R
+--R
+--R - 16log(2x - 1) + 16log(- 2x + 1)
+--R (4) ---------------------------------
+--R 41503
+--R Type: Expression(Integer)
+--E 414
+
+--S 415 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 415
+
+)clear all
+
+--S 416 of 500
+t0:=1/((1-2*x)*(2+3*x)^4*(3+5*x)^2)
+--R
+--R
+--R 1
+--R (1) - ------------------------------------------------------------------
+--R 7 6 5 4 3 2
+--R 4050x + 13635x + 17388x + 9039x - 376x - 2536x - 1056x - 144
+--R Type: Fraction(Polynomial(Integer))
+--E 416
+
+--S 417 of 500
+r0:=(-3/7)/(2+3*x)^3+(-324/49)/(2+3*x)^2+(-34371/343)/(2+3*x)+_
+ (-625/11)/(3+5*x)-32/290521*log(1-2*x)+1612242/2401*log(2+3*x)-_
+ 81250/121*log(3+5*x)
+--R
+--R
+--R (2)
+--R 4 3 2
+--R - 26335968750x - 68473518750x - 66717787500x - 28872025000x
+--R +
+--R - 4681950000
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R 26335973070x + 68473529982x + 66717798444x + 28872029736x
+--R +
+--R 4681950768
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2 3
+--R (- 4320x - 11232x - 10944x - 4736x - 768)log(- 2x + 1) - 1755736290x
+--R +
+--R 2
+--R - 3452950809x - 2261654241x - 493301347
+--R /
+--R 4 3 2
+--R 39220335x + 101972871x + 99358182x + 42997108x + 6972504
+--R Type: Expression(Integer)
+--E 417
+
+--S 418 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 4 3 2
+--R - 26335968750x - 68473518750x - 66717787500x - 28872025000x
+--R +
+--R - 4681950000
+--R *
+--R log(5x + 3)
+--R +
+--R 4 3 2
+--R 26335973070x + 68473529982x + 66717798444x + 28872029736x
+--R +
+--R 4681950768
+--R *
+--R log(3x + 2)
+--R +
+--R 4 3 2 3
+--R (- 4320x - 11232x - 10944x - 4736x - 768)log(2x - 1) - 1755736290x
+--R +
+--R 2
+--R - 3452950809x - 2261654241x - 493301347
+--R /
+--R 4 3 2
+--R 39220335x + 101972871x + 99358182x + 42997108x + 6972504
+--R Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 500
+m0:=a0-r0
+--R
+--R
+--R - 32log(2x - 1) + 32log(- 2x + 1)
+--R (4) ---------------------------------
+--R 290521
+--R Type: Expression(Integer)
+--E 419
+
+--S 420 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 420
+
+)clear all
+
+--S 421 of 500
+t0:=1/((1-2*x)*(2+3*x)^5*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R -
+--R 1
+--R /
+--R 8 7 6 5 4 3 2
+--R 12150x + 49005x + 79434x + 61893x + 16950x - 8360x - 8240x
+--R +
+--R - 2544x - 288
+--R Type: Fraction(Polynomial(Integer))
+--E 421
+
+--S 422 of 500
+r0:=(-9/28)/(2+3*x)^4+(-216/49)/(2+3*x)^3+(-34371/686)/(2+3*x)^2+_
+ (-1612242/2401)/(2+3*x)+(-3125/11)/(3+5*x)-64/2033647*log(1-2*x)+_
+ 70752609/16807*log(2+3*x)-509375/121*log(3+5*x)
+--R
+--R
+--R (2)
+--R 5 4 3
+--R - 13868926312500x - 45305159287500x - 59174085600000x
+--R +
+--R 2
+--R - 38627528100000x - 12601888600000x - 1643724600000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3
+--R 13868926416180x + 45305159626188x + 59174086042368x
+--R +
+--R 2
+--R 38627528388768x + 12601888694208x + 1643724612288
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R (- 103680x - 338688x - 442368x - 288768x - 94208x - 12288)
+--R *
+--R log(- 2x + 1)
+--R +
+--R 4 3 2
+--R - 924595208460x - 2434767448806x - 2403262839978x - 1053787613109x
+--R +
+--R - 173183872939
+--R /
+--R 5 4 3 2
+--R 3294508140x + 10762059924x + 14056568064x + 9175815264x + 2993528384x
+--R +
+--R 390460224
+--R Type: Expression(Integer)
+--E 422
+
+--S 423 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 5 4 3
+--R - 13868926312500x - 45305159287500x - 59174085600000x
+--R +
+--R 2
+--R - 38627528100000x - 12601888600000x - 1643724600000
+--R *
+--R log(5x + 3)
+--R +
+--R 5 4 3
+--R 13868926416180x + 45305159626188x + 59174086042368x
+--R +
+--R 2
+--R 38627528388768x + 12601888694208x + 1643724612288
+--R *
+--R log(3x + 2)
+--R +
+--R 5 4 3 2
+--R (- 103680x - 338688x - 442368x - 288768x - 94208x - 12288)log(2x - 1)
+--R +
+--R 4 3 2
+--R - 924595208460x - 2434767448806x - 2403262839978x - 1053787613109x
+--R +
+--R - 173183872939
+--R /
+--R 5 4 3 2
+--R 3294508140x + 10762059924x + 14056568064x + 9175815264x + 2993528384x
+--R +
+--R 390460224
+--R Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 500
+m0:=a0-r0
+--R
+--R
+--R - 64log(2x - 1) + 64log(- 2x + 1)
+--R (4) ---------------------------------
+--R 2033647
+--R Type: Expression(Integer)
+--E 424
+
+--S 425 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 425
+
+)clear all
+
+--S 426 of 500
+t0:=1/((1-2*x)*(2+3*x)^6*(3+5*x)^2)
+--R
+--R
+--R (1)
+--R -
+--R 1
+--R /
+--R 9 8 7 6 5 4 3
+--R 36450x + 171315x + 336312x + 344547x + 174636x + 8820x - 41440x
+--R +
+--R 2
+--R - 24112x - 5952x - 576
+--R Type: Fraction(Polynomial(Integer))
+--E 426
+
+--S 427 of 500
+r0:=(-9/35)/(2+3*x)^5+(-162/49)/(2+3*x)^4+(-11457/343)/(2+3*x)^3+_
+ (-806121/2401)/(2+3*x)^2+(-70752609/16807)/(2+3*x)+_
+ (-15625/11)/(3+5*x)-128/14235529*log(1-2*x)+2977686468/117649*_
+ log(2+3*x)-3062500/121*log(3+5*x)
+--R
+--R
+--R (2)
+--R 6 5 4
+--R - 2188822879687500x - 8609369993437500x - 14105747446875000x
+--R +
+--R 3 2
+--R - 12322262137500000x - 6053041050000000x - 1585320275000000x
+--R +
+--R - 172944030000000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4
+--R 2188822880465100x + 8609369996496060x + 14105747451886200x
+--R +
+--R 3 2
+--R 12322262141877600x + 6053041052150400x + 1585320275563200x
+--R +
+--R 172944030061440
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 777600x - 3058560x - 5011200x - 4377600x - 2150400x - 563200x
+--R +
+--R - 61440
+--R *
+--R log(- 2x + 1)
+--R +
+--R 5 4 3
+--R - 145921526219700x - 481541037023970x - 635461225889490x
+--R +
+--R 2
+--R - 419169494735145x - 138206158563165x - 18221473659389
+--R /
+--R 6 5 4 3
+--R 86480838675x + 340157965455x + 557320960350x + 486855091800x
+--R +
+--R 2
+--R 239156887200x + 62636327600x + 6833053920
+--R Type: Expression(Integer)
+--E 427
+
+--S 428 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 6 5 4
+--R - 2188822879687500x - 8609369993437500x - 14105747446875000x
+--R +
+--R 3 2
+--R - 12322262137500000x - 6053041050000000x - 1585320275000000x
+--R +
+--R - 172944030000000
+--R *
+--R log(5x + 3)
+--R +
+--R 6 5 4
+--R 2188822880465100x + 8609369996496060x + 14105747451886200x
+--R +
+--R 3 2
+--R 12322262141877600x + 6053041052150400x + 1585320275563200x
+--R +
+--R 172944030061440
+--R *
+--R log(3x + 2)
+--R +
+--R 6 5 4 3 2
+--R - 777600x - 3058560x - 5011200x - 4377600x - 2150400x - 563200x
+--R +
+--R - 61440
+--R *
+--R log(2x - 1)
+--R +
+--R 5 4 3
+--R - 145921526219700x - 481541037023970x - 635461225889490x
+--R +
+--R 2
+--R - 419169494735145x - 138206158563165x - 18221473659389
+--R /
+--R 6 5 4 3
+--R 86480838675x + 340157965455x + 557320960350x + 486855091800x
+--R +
+--R 2
+--R 239156887200x + 62636327600x + 6833053920
+--R Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 500
+m0:=a0-r0
+--R
+--R
+--R - 128log(2x - 1) + 128log(- 2x + 1)
+--R (4) -----------------------------------
+--R 14235529
+--R Type: Expression(Integer)
+--E 429
+
+--S 430 of 500
+d0:=D(m0,x)
+--R
+--R
+--R (5) 0
+--R Type: Expression(Integer)
+--E 430
+
+)clear all
+
+--S 431 of 500
+t0:=(2+3*x)^m/((1-2*x)*(3+5*x)^3)
+--R
+--R
+--R m
+--R (3x + 2)
+--R (1) - -------------------------------
+--R 4 3 2
+--R 250x + 325x + 45x - 81x - 27
+--R Type: Expression(Integer)
+--E 431
+
+--S 432 of 500
+--r0:=-5/22*(2+3*x)^(1+m)/(3+5*x)^2-10/121*(2+3*x)^(1+m)/(3+5*x)+_
+-- 15/22*(1-m)*(2+3*x)^(1+m)/(3+5*x)+8/9317*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,2/7*(2+3*x))/(1+m)-20/1331*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)-30/121*m*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)+45/22*(1-m)*m*(2+3*x)^(1+m)*_
+-- hypergeometric(1,1+m,2+m,5*(2+3*x))/(1+m)
+--E 432
+
+--S 433 of 500
+--a0:=integrate(t0,x)
+--E 433
+
+--S 434 of 500
+--m0:=a0-r0
+--E 434
+
+--S 435 of 500
+--d0:=D(m0,x)
+--E 435
+
+)clear all
+
+--S 436 of 500
+t0:=(2+3*x)^8/((1-2*x)*(3+5*x)^3)
+--R
+--R
+--R (1)
+--R 8 7 6 5 4 3 2
+--R - 6561x - 34992x - 81648x - 108864x - 90720x - 48384x - 16128x
+--R +
+--R - 3072x - 256
+--R /
+--R 4 3 2
+--R 250x + 325x + 45x - 81x - 27
+--R Type: Fraction(Polynomial(Integer))
+--E 436
+
+--S 437 of 500
+r0:=-62934003/500000*x-9268263/100000*x^2-1535517/25000*x^3-_
+ 264627/10000*x^4-6561/1250*x^5+(-1/8593750)/(3+5*x)^2+_
+ (-266/47265625)/(3+5*x)-5764801/85184*log(1-2*x)+_
+ 31024/519921875*log(3+5*x)
+--R
+--R
+--R (2)
+--R 2
+--R (49638400x + 59566080x + 17869824)log(5x + 3)
+--R +
+--R 2
+--R (- 56296884765625x - 67556261718750x - 20266878515625)log(- 2x + 1)
+--R +
+--R 7 6 5
+--R - 4366345500000x - 27253273162500x - 79082602830000x
+--R +
+--R 4 3 2
+--R - 146338473723750x - 215620841031750x - 153403867608750x
+--R +
+--R - 37694322033170x - 565664
+--R /
+--R 2
+--R 831875000000x + 998250000000x + 299475000000
+--R Type: Expression(Integer)
+--E 437
+
+--S 438 of 500
+a0:=integrate(t0,x)
+--R
+--R
+--R (3)
+--R 2
+--R (49638400x + 59566080x + 17869824)log(5x + 3)
+--R +
+--R 2
+--R (- 56296884765625x - 67556261718750x - 20266878515625)log(2x - 1)
+--R +
+--R 7 6 5
+--R - 4366345500000x - 27253273162500x - 79082602830000x
+--R +
+--R 4 3 2
+--R - 146338473723750x - 215620841031750x - 153403867608750x
+--R +
+--R - 37694322033170x - 565664
+--R /
+--R 2
+--R 831875000000x + 998250000000x + 299475000000
+--R Type: Union(Expression(Integer),...)
+--E 438
+
+--S 439 of 500
+m0:=a0-r0
+--R
+--R
+--R - 5764801log(2x - 1) + 5764801log(- 2x + 1)
+--R (4) -------------------------------------------
+--R 85184
+--R