diff --git a/changelog b/changelog
index b5fd616..898a111 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,86 @@
+20130714 tpd src/axiom-website/patches.html 20130714.01.tpd.patch
+20130714 tpd src/axiom-website/CATS/axiom.sty added
+20130714 tpd src/axiom-website/CATS/index.html added
+20130714 tpd src/axiom-website/CATS/richalgebraic000-099.input added
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 20130702 tpd src/axiom-website/patches.html 20130702.01.tpd.patch
 20130702 tpd books/bookvolbib add Griesmer ref, sort items
 20130701 tpd src/axiom-website/patches.html 20130701.01.tpd.patch
diff --git a/src/axiom-website/CATS/axiom.sty b/src/axiom-website/CATS/axiom.sty
new file mode 100644
index 0000000..2b415a2
--- /dev/null
+++ b/src/axiom-website/CATS/axiom.sty
@@ -0,0 +1,1177 @@
+\newcommand{\dest}[1]{% e.g. \dest{abb}
+\special{pdf:dest (#1) [ @thispage /FitH @ypos ]}}
+\newcommand{\cmdhead}[1]{% e.g. \cmdhead{name}
+\chapter{)#1~Command}%
+\label{#1}%
+\index{#1}%
+\section{#1 man page}%
+\index{mapage!#1}%
+\index{#1!manpage}}
+\newcommand{\defun}[2]{% e.g. \defun{functionname}{functionname}
+\subsection{defun #2}%
+\label{#1}%
+\index{#1}%
+\index{defun!#1}%
+\index{#1!defun}}
+\newcommand{\defplist}[2]{% e.g. \defplist{symbol}{entry}
+\subsection{defplist #2}%
+\label{#1}%
+\index{#1}%
+\index{defplist!#1}%
+\index{#1!defplist}}
+\newcommand{\defunsec}[2]{% e.g. \defunsec{functionname}{section title}
+\subsection{#2}%
+\label{#1}%
+\index{#1}%
+\index{defun!#1}%
+\index{#1!defun}}
+\newcommand{\defmacro}[1]{% e.g. \defmacro{functionname}
+\subsection{defmacro {#1}}%
+\label{#1}%
+\index{#1}%
+\index{defmacro!#1}%
+\index{#1!defmacro}}
+\newcommand{\defvar}[1]{% e.g. \defvar{varname}
+\subsection{defvar \${#1}}%
+\label{#1}%
+\index{#1}%
+\index{defvar!#1}%
+\index{#1!defvar}}
+\newcommand{\defstruct}[1]{% e.g. \defstruct{varname}
+\subsection{defstruct \${#1}}%
+\label{#1}%
+\index{#1}%
+\index{defstruct!#1}%
+\index{#1!defstruct}}
+\newcommand{\defdollar}[1]{% e.g. \defdollar{functionname}
+\subsection{defvar \${#1}}%
+\label{#1}%
+\index{\${#1}}%
+\index{defvar!\${#1}}%
+\index{\${#1}!defvar}}
+\newcommand{\defconstant}[1]{% e.g. \defconst{varname}
+\subsection{defconstant \${#1}}%
+\label{#1}%
+\index{#1}%
+\index{defconstant!#1}%
+\index{#1!defconstant}}
+\newcommand{\defdollarconstant}[1]{% e.g. \defdollarconstant{functionname}
+\subsection{defconstant \${#1}}%
+\label{#1}%
+\index{\${#1}}%
+\index{defconstant!\${#1}}%
+\index{\${#1}!defconstant}}
+\newcommand{\pagehead}[2]{% e.g. \pagehead{name}{abb}
+\dest{#1}%
+\dest{#2}%
+\subsection{#1 (#2)}%
+\label{#1}%
+\label{#2}%
+\index{{#1}}%
+\index{{#2}}}
+\newcommand{\pagetitle}[3]{% e.g. \pagetitle{page}{file.ht}{title}
+\subsection{#3}%
+\label{#1}%
+\index{pages!#1!#2}%
+\index{#1!#2!pages}%
+\index{#2!pages!#1}}
+\newcommand{\calls}[2]{% e.g. \calls{thisfunc}{thatfunc}
+[#2 p\pageref{#2}]\\%
+\index{#2!{calledby #1}}%
+\index{#1!{calls #2}}}%
+\newcommand{\seebook}[3]{% e.g. \seebook{thisfunc}{thatfunc}{5}
+[#1 #2 (vol#3)]\\%
+\index{#2[#3]!{called by #1}}%
+\index{#1!{calls #2[#3]}}}%
+\newcommand{\throws}[2]{% e.g. \throws{thisfunc}{tagvar}
+[#2 p\pageref{#2}]\\%
+\index{throws!#1}%
+\index{#1!throws}}
+\newcommand{\catches}[2]{% e.g. \catches{thisfunc}{tagvar}
+[#2 p\pageref{#2}]\\%
+\index{catches!#1}%
+\index{#1!catches}}
+\newcommand{\uses}[2]{% e.g. \uses{thisfunc}{specialvar}
+[#2 p\pageref{#2}]\\%
+\index{#2!{usedby #1}}%
+\index{#1!{uses #2}}}%
+\newcommand{\callsdollar}[2]{% e.g. \callsdollar{thisfunc}{thatfunc}
+[\$#2 p\pageref{#2}]\\%
+\index{\$#2!{calledby \$#1}}%
+\index{#1!{calls \$#2}}}
+\newcommand{\usesdollar}[2]{% e.g. \usesdollar{thisfunc}{specialvar}
+[\$#2 p\pageref{#2}]\\%
+\index{\${#2}!{usedby #1}}%
+\index{#1!{uses \${#2}}}}
+\newcommand{\defsdollar}[2]{% e.g. \defsdollar{thisfunc}{specialvar}
+[\$#2 p\pageref{#2}]\\%
+\index{\${#2}!{local def #1}}%
+\index{#1!{local def \${#2}}}}
+\newcommand{\refsdollar}[2]{% e.g. \refsdollar{thisfunc}{specialvar}
+[\$#2 p\pageref{#2}]\\%
+\index{\${#2}!{local ref #1}}%
+\index{#1!{local ref \${#2}}}}
+\newcommand{\usesstruct}[2]{% e.g. \usesstruct{thisfunc}{structname}
+[\$#2 p\pageref{#2}]\\%
+\index{\${#2}!{usedby #1}}%
+\index{#1!{uses \${#2}}}}
+\newcommand{\tpdhere}[1]{% e.g. \tpdhere{Some note}
+{\bf TPDHERE: #1}%
+\index{TPDHERE!{#1}}}
+\newcommand{\pagepic}[3]{% e.g. \pagepic{pathandfile}{abb}{scale}
+\includegraphics[scale=#3]{#1}\\%
+\index{images!#2}}
+\newcommand{\refto}[1]{% e.g. \refto{name}
+(p\pageref{#1}) #1}
+\newcommand{\pageto}[2]{% e.g. \pageto{linkstring}{pagename}
+\ \\${\bf\Rightarrow{}}${``#1''} (#2) \ref{#2} on page~\pageref{#2}}
+\newcommand{\pagefrom}[2]{% e.g. \pagefrom{linkstring}{pagename}
+\ \\${\bf\Leftarrow{}}${``#1''} (#2) \ref{#2} on page~\pageref{#2}}
+\newcommand{\fnref}[1]{% e.g. \fnref{functionname}
+``#1'' (\ref{#1} p~\pageref{#1})}
+\newcommand{\varref}[1]{% e.g. \varref{variablename}
+``#1'' (\ref{#1} p~\pageref{#1})}
+\newcommand{\cross}[2]{% e.g. \pagefrom{cat}{funcname}
+\index{#1!#2}%
+\index{#2!#1}%
+#2}
+\newcommand{\lanb}{{\tt [}}
+\newcommand{\ranb}{{\tt ]}}
+\newcommand{\vertline}{$|$}
+% axiom.sty -- LaTeX support for Axiom
+% DON'T edit this file!  Use src/doc/axiom.sty.pamphlet instead.
+\usepackage{verbatim}
+
+\chardef\atcode=\catcode`\@
+\catcode`\@=11
+\renewcommand{\verbatim@font}{\ttfamily\small}
+\catcode`\@=\atcode
+
+\newenvironment{chunk}[1]{%   we need the chunkname as an argument
+{\ }\newline\noindent%                    make sure we are in column 1
+%{\small $\backslash{}$begin\{chunk\}\{{\bf #1}\}}% alternate begin mark
+\hbox{\hskip 2.0cm}{\bf --- #1 ---}%      mark the beginning
+\verbatim}%                               say exactly what we see
+{\endverbatim%                            process \end{chunk}
+\par{}%                                   we add a newline
+\noindent{}%                              start in column 1
+\hbox{\hskip 2.0cm}{\bf ----------}%      mark the end
+%$\backslash{}$end\{chunk\}%              alternate end mark (commented)
+\par%                                     and a newline
+\normalsize\noindent}%                    and return to the document
+
+\providecommand{\getchunk}[1]{%
+\noindent%
+{\small $\backslash{}$begin\{chunk\}\{{\bf #1}\}}}% mark the reference
+
+{\obeyspaces\AtBeginDocument{\global\let =\ }} % from texbook, p 381
+\def\nwopt@nomargintag{\let\nwmargintag=\@gobble}
+\def\nwopt@margintag{%
+  \def\nwmargintag##1{\leavevmode\llap{##1\kern\nwmarginglue\kern\codemargin}}}
+\def\nwopt@margintag{%
+  \def\nwmargintag##1{\leavevmode\kern-\codemargin\nwthemargintag{##1}\kern\codemargin}}
+\def\nwthemargintag#1{\llap{#1\kern\nwmarginglue}}
+\nwopt@margintag
+\newdimen\nwmarginglue
+\nwmarginglue=0.3in
+\def\nwtagstyle{\footnotesize\Rm}
+% make \hsize in code sufficient for 88 columns
+\setbox0=\hbox{\tt m}
+\newdimen\codehsize
+\codehsize=91\wd0 % 88 columns wasn't enough; I don't know why
+\newdimen\codemargin
+\codemargin=0pt
+\newdimen\nwdefspace
+\nwdefspace=\codehsize
+% need to use \textwidth in {\LaTeX} to handle styles with
+% non-standard margins (David Bruce).  Don't know why we sometimes
+% wanted \hsize.  27 August 1997.
+%% \advance\nwdefspace by -\hsize\relax
+\ifx\textwidth\undefined
+  \advance\nwdefspace by -\hsize\relax
+\else
+  \advance\nwdefspace by -\textwidth\relax
+\fi
+\chardef\other=12
+\def\setupcode{%
+  \chardef\\=`\\
+  \chardef\{=`\{
+  \chardef\}=`\}
+  \catcode`\$=\other
+  \catcode`\&=\other
+  \catcode`\#=\other
+  \catcode`\%=\other
+  \catcode`\~=\other
+  \catcode`\_=\other
+  \catcode`\^=\other
+  \catcode`\"=\other    % fixes problem with german.sty
+  \obeyspaces\Tt
+}
+\let\nwlbrace=\{
+\let\nwrbrace=\}
+\def\nwendquote{\relax\ifhmode\spacefactor=1000 \fi}
+{\catcode`\^^M=\active % make CR an active character
+  \gdef\newlines{\catcode`\^^M=\active % make CR an active character
+         \def^^M{\par\startline}}%
+  \gdef\eatline#1^^M{\relax}%
+}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% DON'T   \gdef^^M{\par\startline}}% in case ^^M appears in a \write
+\def\startline{\noindent\hskip\parindent\ignorespaces}
+\def\nwnewline{\ifvmode\else\hfil\break\leavevmode\hbox{}\fi}
+\def\setupmodname{%
+  \catcode`\$=3
+  \catcode`\&=4
+  \catcode`\#=6
+  \catcode`\%=14
+  \catcode`\~=13
+  \catcode`\_=8
+  \catcode`\^=7
+  \catcode`\ =10
+  \catcode`\^^M=5
+  \let\{\nwlbrace
+  \let\}\nwrbrace
+  % bad news --- don't know what catcode to give "
+  \Rm}
+\def\LA{\begingroup\maybehbox\bgroup\setupmodname\It$\langle$}
+\def\RA{\/$\rangle$\egroup\endgroup}
+\def\code{\leavevmode\begingroup\setupcode\newlines}
+\def\edoc{\endgroup}
+\let\maybehbox\relax
+\newbox\equivbox
+\setbox\equivbox=\hbox{$\equiv$}
+\newbox\plusequivbox
+\setbox\plusequivbox=\hbox{$\mathord{+}\mathord{\equiv}$}
+% \moddef can't have an argument because there might be \code...\edoc
+\def\moddef{\leavevmode\kern-\codemargin\LA}
+\def\endmoddef{\RA\ifmmode\equiv\else\unhcopy\equivbox\fi
+               \nobreak\hfill\nobreak}
+\def\plusendmoddef{\RA\ifmmode\mathord{+}\mathord{\equiv}\else\unhcopy\plusequivbox\fi
+               \nobreak\hfill\nobreak}
+\def\chunklist{%
+\errhelp{I changed \chunklist to \nowebchunks.  
+I'll try to avoid such incompatible changes in the future.}%
+\errmessage{Use \string\nowebchunks\space instead of \string\chunklist}}
+\def\nowebchunks{\message{<Warning: You need noweave -x to use \string\nowebchunks>}}
+\def\nowebindex{\message{<Warning: You need noweave -index to use \string\nowebindex>}}
+% here is support for the new-style (capitalized) font-changing commands
+% thanks to Dave Love
+\ifx\documentstyle\undefined
+  \let\Rm=\rm \let\It=\it \let\Tt=\tt       % plain
+\else\ifx\selectfont\undefined
+  \let\Rm=\rm \let\It=\it \let\Tt=\tt       % LaTeX OFSS
+\else                                       % LaTeX NFSS
+  \def\Rm{\reset@font\rm}
+  \def\It{\reset@font\it}
+  \def\Tt{\reset@font\tt}
+  \def\Bf{\reset@font\bf}
+\fi\fi
+\ifx\reset@font\undefined \let\reset@font=\relax \fi
+\def\noweboptions#1{%
+  \def\@nwoptionlist{#1}%
+  \@for\@nwoption:=\@nwoptionlist\do{%
+    \@ifundefined{nwopt@\@nwoption}{%
+        \@latexerr{There is no such noweb option as '\@nwoption'}\@eha}{%
+        \csname nwopt@\@nwoption\endcsname}}}
+\codemargin=10pt
+\advance\codehsize by \codemargin       % make room for indentation of code
+\advance\nwdefspace by \codemargin      % and fix adjustment for def/use
+\def\setcodemargin#1{%
+  \advance\codehsize by -\codemargin       % make room for indentation of code
+  \advance\nwdefspace by -\codemargin   % and fix adjustment for def/use
+  \codemargin=#1
+  \advance\codehsize by \codemargin       % make room for indentation of code
+  \advance\nwdefspace by \codemargin    % and fix adjustment for
+                                        % def/use
+}
+\def\nwopt@shift{%
+  \dimen@=-0.8in
+  \if@twoside                 % Values for two-sided printing:
+     \advance\evensidemargin by \dimen@
+  \else                       % Values for one-sided printing:
+     \advance\evensidemargin by \dimen@
+     \advance\oddsidemargin by \dimen@
+  \fi
+%  \advance \marginparwidth -\dimen@
+}
+\let\nwopt@noshift\@empty
+\def\nwbegincode#1{%
+  \begingroup
+    \topsep \nwcodetopsep
+    \@beginparpenalty \@highpenalty
+    \@endparpenalty -\@highpenalty
+  \@begincode }
+\def\nwendcode{\endtrivlist \endgroup \filbreak} % keeps code on 1 page
+
+\newenvironment{webcode}{%
+  \@begincode
+}{%
+  \endtrivlist}
+\def\@begincode{%
+    \trivlist \item[]%
+    \leftskip\@totalleftmargin \advance\leftskip\codemargin
+    \rightskip\hsize \advance\rightskip -\codehsize
+    \parskip\z@ \parindent\z@ \parfillskip\@flushglue
+  \linewidth\codehsize
+    \@@par
+    \def\par{\leavevmode\null \@@par \penalty\nwcodepenalty}%
+    \obeylines
+    \@noligs   \ifx\verbatim@nolig@list\undefined\else
+                 \let\do=\nw@makeother \verbatim@nolig@list \do@noligs\`
+               \fi
+    \setupcode \frenchspacing \@vobeyspaces
+  \nowebsize \setupcode
+  \let\maybehbox\mbox }
+  \newskip\nwcodetopsep \nwcodetopsep = 3pt plus 1.2pt minus 1pt
+  \let\nowebsize=\normalsize
+  \def\nwopt@tinycode{\let\nowebsize=\tiny}
+  \def\nwopt@footnotesizecode{\let\nowebsize=\footnotesize}
+  \def\nwopt@scriptsizecode{\let\nowebsize=\scriptsize}
+  \def\nwopt@smallcode{\let\nowebsize=\small}
+  \def\nwopt@normalsizecode{\let\nowebsize=\normalsize}
+  \def\nwopt@largecode{\let\nowebsize=\large}
+  \def\nwopt@Largecode{\let\nowebsize=\Large}
+  \def\nwopt@LARGEcode{\let\nowebsize=\LARGE}
+  \def\nwopt@hugecode{\let\nowebsize=\huge}
+  \def\nwopt@Hugecode{\let\nowebsize=\Huge}
+\newcount\nwcodepenalty  \nwcodepenalty=\@highpenalty
+\def\nw@makeother#1{\catcode`#1=12 }
+\def\nwbegindocs#1{\ifvmode\noindent\fi}
+\let\nwenddocs=\relax
+\let\nwdocspar=\filbreak
+\raggedbottom
+\def\code{\leavevmode\begingroup\setupcode\@vobeyspaces\obeylines}
+\let\edoc=\endgroup
+\newdimen\@original@textwidth
+\def\ps@noweb{%
+  \@original@textwidth=\textwidth
+  \let\@mkboth\@gobbletwo
+  \def\@oddfoot{}\def\@evenfoot{}%       No feet.
+  \if@twoside         % If two-sided printing.
+    \def\@evenhead{\hbox to \@original@textwidth{%
+           \Rm \thepage\qquad{\Tt\leftmark}\hfil\today}}%        Left heading.
+    \def\@oddhead{\hbox to \@original@textwidth{%
+           \Rm \today\hfil{\Tt\leftmark}\qquad\thepage}}% Right heading.
+  \else               % If one-sided printing.
+    \def\@oddhead{\hbox to \@original@textwidth{%
+           \Rm \today\hfil{\Tt\leftmark}\qquad\thepage}}% Right heading.
+    \let\@evenhead\@oddhead
+  \fi
+  \let\chaptermark\@gobble
+  \let\sectionmark\@gobble
+  \let\subsectionmark\@gobble
+  \let\subsubsectionmark\@gobble
+  \let\paragraphmark\@gobble
+  \let\subparagraphmark\@gobble
+  \def\nwfilename{\begingroup\let\do\@makeother\dospecials
+                \catcode`\{=1 \catcode`\}=2 \nw@filename}
+  \def\nw@filename##1{\endgroup\markboth{##1}{##1}\let\nw@filename=\nw@laterfilename}%
+}
+\def\nw@laterfilename#1{\endgroup\clearpage \markboth{#1}{#1}}
+\let\nwfilename=\@gobble
+\def\nwcodecomment#1{\@@par\penalty\nwcodepenalty
+    \if@firstnwcodecomment
+      \vskip\nwcodecommentsep\penalty\nwcodepenalty\@firstnwcodecommentfalse
+    \fi%
+    \hspace{-\codemargin}{%
+        \rightskip=0pt plus1in
+        \interlinepenalty\nwcodepenalty
+        \let\\\relax\footnotesize\Rm #1\@@par\penalty\nwcodepenalty}}
+\def\@nwalsodefined#1{\nwcodecomment{\@nwlangdepdef\ \nwpageprep\ \@pagesl{#1}.}}
+\def\@nwused#1{\nwcodecomment{\@nwlangdepcud\ \nwpageprep\ \@pagesl{#1}.}}
+\def\@nwnotused#1{\nwcodecomment{\@nwlangdeprtc.}}
+\def\nwoutput#1{\nwcodecomment{\@nwlangdepcwf\ {\Tt \@stripstar#1*\stripped}.}}
+\def\@stripstar#1*#2\stripped{#1}
+\providecommand{\nwprevdefptr}[1]{%
+  \mbox{$\mathord{\triangleleft}\,\mathord{\mbox{\subpageref{#1}}}$}}
+\providecommand{\nwnextdefptr}[1]{%
+  \mbox{$\mathord{\mbox{\subpageref{#1}}}\,\mathord{\triangleright}$}}
+
+\providecommand{\@nwprevnextdefs}[2]{%
+  {\nwtagstyle
+  \ifx\relax#1\else ~~\nwprevdefptr{#1}\fi
+  \ifx\relax#2\else ~~\nwnextdefptr{#2}\fi}}
+\providecommand{\@nwusesondefline}[1]{{\nwtagstyle~~(\@pagenumsl{#1})}}
+\providecommand{\@nwstartdeflinemarkup}{\nobreak\hskip 1.5em plus 1fill\nobreak}
+\providecommand{\@nwenddeflinemarkup}{\nobreak\hskip \nwdefspace minus\nwdefspace\nobreak}
+\def\nwopt@longxref{%
+  \let\nwalsodefined\@nwalsodefined
+  \let\nwused\@nwused
+  \let\nwnotused\@nwnotused
+  \let\nwprevnextdefs\@gobbletwo
+  \let\nwusesondefline\@gobble
+  \let\nwstartdeflinemarkup\relax
+  \let\nwenddeflinemarkup\relax
+}
+\def\nwopt@shortxref{%
+  \let\nwalsodefined\@gobble
+  \let\nwused\@gobble
+  \let\nwnotused\@gobble
+  \let\nwprevnextdefs\@nwprevnextdefs
+  \let\nwusesondefline\@nwusesondefline
+  \let\nwstartdeflinemarkup\@nwstartdeflinemarkup
+  \let\nwenddeflinemarkup\@nwenddeflinemarkup
+}
+\def\nwopt@noxref{%
+  \let\nwalsodefined\@gobble
+  \let\nwused\@gobble
+  \let\nwnotused\@gobble
+  \let\nwprevnextdefs\@gobbletwo
+  \let\nwusesondefline\@gobble
+  \let\nwstartdeflinemarkup\relax
+  \let\nwenddeflinemarkup\relax
+}
+\nwopt@shortxref % to hell with backward compatibility!
+\newskip\nwcodecommentsep \nwcodecommentsep=3pt plus 1pt minus 1pt
+\newif\if@firstnwcodecomment\@firstnwcodecommenttrue
+\newcount\@nwlopage\newcount\@nwhipage  % range lo..hi-1
+\newcount\@nwlosub              % subpage of lo
+\newcount\@nwhisub              % subpage of hi
+\def\@nwfirstpage#1#2#3{% subpage page xref-tag
+  \@nwlopage=#2 \@nwlosub=#1
+  \def\@nwloxreftag{#3}%
+  \advance\@nwpagecount by \@ne
+  \@nwhipage=\@nwlopage\advance\@nwhipage by \@ne }
+\def\@nwnextpage#1#2#3{% subpage page xref-tag
+  \ifnum\@nwhipage=#2 
+    \advance\@nwhipage by \@ne 
+    \advance\@nwpagecount by \@ne
+    \@nwhisub=#1 
+    \def\@nwhixreftag{#3}\else
+  \ifnum#2<\@nwlopage \advance\@nwhipage by \m@ne
+                      \ifnum\@nwhipage=\@nwlopage
+                           \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                                             {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                                              {\@nwloxreftag}}}%
+                      \else
+                        \count@=\@nwhipage \advance\count@ by \m@ne
+                        \ifnum\count@=\@nwlopage % consecutive pages
+                            \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                                             {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                                              {\@nwloxreftag}}%
+                                          \noexpand\noexpand\noexpand\\%
+                                             {{\nwthepagenum{\number\@nwhisub}{\number\@nwhipage}}
+                                              {\@nwhixreftag}}}%
+                        \else \ifnum\@nwlopage<110 \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+                                \count@=\@nwlopage \divide\count@ by 100 \multiply\count@ by 100
+                                \ifnum\count@=\@nwlopage \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+                                  \count@=\@nwlopage \divide\count@ by 100
+                                  \@nwpagetemp=\@nwhipage \divide\@nwpagetemp by 100
+                                  \ifnum\count@=\@nwpagetemp %  lo--least 2 digits of hi
+                                    \multiply\@nwpagetemp by 100
+                                    \advance \@nwhipage by -\@nwpagetemp
+                                    \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+                                  \else \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+                                  \fi
+                                \fi
+                              \fi%
+                        \fi
+                      \fi%
+                      \edef\@tempa{\noexpand\nwix@cons\noexpand\nw@pages{\@tempa}}\@tempa\@nwfirstpage{#1}{#2}{#3}\else
+  \ifnum#2>\@nwhipage \advance\@nwhipage by \m@ne
+                      \ifnum\@nwhipage=\@nwlopage
+                           \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                                             {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                                              {\@nwloxreftag}}}%
+                      \else
+                        \count@=\@nwhipage \advance\count@ by \m@ne
+                        \ifnum\count@=\@nwlopage % consecutive pages
+                            \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                                             {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                                              {\@nwloxreftag}}%
+                                          \noexpand\noexpand\noexpand\\%
+                                             {{\nwthepagenum{\number\@nwhisub}{\number\@nwhipage}}
+                                              {\@nwhixreftag}}}%
+                        \else \ifnum\@nwlopage<110 \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+                                \count@=\@nwlopage \divide\count@ by 100 \multiply\count@ by 100
+                                \ifnum\count@=\@nwlopage \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+                                  \count@=\@nwlopage \divide\count@ by 100
+                                  \@nwpagetemp=\@nwhipage \divide\@nwpagetemp by 100
+                                  \ifnum\count@=\@nwpagetemp %  lo--least 2 digits of hi
+                                    \multiply\@nwpagetemp by 100
+                                    \advance \@nwhipage by -\@nwpagetemp
+                                    \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+                                  \else \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+                                  \fi
+                                \fi
+                              \fi%
+                        \fi
+                      \fi%
+                      \edef\@tempa{\noexpand\nwix@cons\noexpand\nw@pages{\@tempa}}\@tempa\@nwfirstpage{#1}{#2}{#3}\else
+    \@nwlosub=0 \@nwhisub=0
+  \fi\fi\fi
+  }
+\newcount\@nwpagetemp
+\newcount\@nwpagecount
+\def\@nwfirstpagel#1{% label
+  \@ifundefined{r@#1}{\@warning{Reference `#1' on page \thepage \space undefined}%
+                      \nwix@cons\nw@pages{\\{\bf ??}}}{%
+    \edef\@tempa{\noexpand\@nwfirstpage\subpagepair{#1}{#1}}\@tempa}}
+\def\@nwnextpagel#1{% label
+  \@ifundefined{r@#1}{\@warning{Reference `#1' on page \thepage \space undefined}%
+                      \nwix@cons\nw@pages{\\{\bf ??}}}{%
+    \edef\@tempa{\noexpand\@nwnextpage\subpagepair{#1}{#1}}\@tempa}}
+\def\@pagesl#1{%  list of labels
+  \gdef\nw@pages{}\@nwpagecount=0
+  \def\\##1{\@nwfirstpagel{##1}\let\\=\@nwnextpagel}#1%
+  \advance\@nwhipage by \m@ne
+  \ifnum\@nwhipage=\@nwlopage
+       \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                         {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                          {\@nwloxreftag}}}%
+  \else
+    \count@=\@nwhipage \advance\count@ by \m@ne
+    \ifnum\count@=\@nwlopage % consecutive pages
+        \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                         {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                          {\@nwloxreftag}}%
+                      \noexpand\noexpand\noexpand\\%
+                         {{\nwthepagenum{\number\@nwhisub}{\number\@nwhipage}}
+                          {\@nwhixreftag}}}%
+    \else \ifnum\@nwlopage<110 \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+            \count@=\@nwlopage \divide\count@ by 100 \multiply\count@ by 100
+            \ifnum\count@=\@nwlopage \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+              \count@=\@nwlopage \divide\count@ by 100
+              \@nwpagetemp=\@nwhipage \divide\@nwpagetemp by 100
+              \ifnum\count@=\@nwpagetemp %  lo--least 2 digits of hi
+                \multiply\@nwpagetemp by 100
+                \advance \@nwhipage by -\@nwpagetemp
+                \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+              \else \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+              \fi
+            \fi
+          \fi%
+    \fi
+  \fi%
+  \edef\@tempa{\noexpand\nwix@cons\noexpand\nw@pages{\@tempa}}\@tempa\def\\##1{\@nwhyperpagenum##1}%
+  \ifnum\@nwpagecount=1 \nwpageword \else \nwpagesword\fi~\commafy{\nw@pages}}
+\def\@nwhyperpagenum#1#2{\nwhyperreference{#2}{#1}}
+
+\def\@pagenumsl#1{%  list of labels -- doesn't include word `pages', commas, or `and'
+  \gdef\nw@pages{}\@nwpagecount=0
+  \def\\##1{\@nwfirstpagel{##1}\let\\=\@nwnextpagel}#1%
+  \advance\@nwhipage by \m@ne
+  \ifnum\@nwhipage=\@nwlopage
+       \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                         {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                          {\@nwloxreftag}}}%
+  \else
+    \count@=\@nwhipage \advance\count@ by \m@ne
+    \ifnum\count@=\@nwlopage % consecutive pages
+        \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                         {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                          {\@nwloxreftag}}%
+                      \noexpand\noexpand\noexpand\\%
+                         {{\nwthepagenum{\number\@nwhisub}{\number\@nwhipage}}
+                          {\@nwhixreftag}}}%
+    \else \ifnum\@nwlopage<110 \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+            \count@=\@nwlopage \divide\count@ by 100 \multiply\count@ by 100
+            \ifnum\count@=\@nwlopage \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+              \count@=\@nwlopage \divide\count@ by 100
+              \@nwpagetemp=\@nwhipage \divide\@nwpagetemp by 100
+              \ifnum\count@=\@nwpagetemp %  lo--least 2 digits of hi
+                \multiply\@nwpagetemp by 100
+                \advance \@nwhipage by -\@nwpagetemp
+                \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+              \else \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+              \fi
+            \fi
+          \fi%
+    \fi
+  \fi%
+  \edef\@tempa{\noexpand\nwix@cons\noexpand\nw@pages{\@tempa}}\@tempa%
+  \def\\##1{\@nwhyperpagenum##1\let\\=\@nwpagenumslrest}\nw@pages}
+\def\@nwpagenumslrest#1{~\@nwhyperpagenum#1}
+\def\subpages#1{% list of {{subpage}{page}}
+  \gdef\nw@pages{}\@nwpagecount=0
+  \def\\##1{\edef\@tempa{\noexpand\@nwfirstpage##1{}}\@tempa
+            \def\\####1{\edef\@tempa{\noexpand\@nwnextpage####1}\@tempa}}#1%
+  \advance\@nwhipage by \m@ne
+  \ifnum\@nwhipage=\@nwlopage
+       \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                         {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                          {\@nwloxreftag}}}%
+  \else
+    \count@=\@nwhipage \advance\count@ by \m@ne
+    \ifnum\count@=\@nwlopage % consecutive pages
+        \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                         {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                          {\@nwloxreftag}}%
+                      \noexpand\noexpand\noexpand\\%
+                         {{\nwthepagenum{\number\@nwhisub}{\number\@nwhipage}}
+                          {\@nwhixreftag}}}%
+    \else \ifnum\@nwlopage<110 \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+            \count@=\@nwlopage \divide\count@ by 100 \multiply\count@ by 100
+            \ifnum\count@=\@nwlopage \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+              \count@=\@nwlopage \divide\count@ by 100
+              \@nwpagetemp=\@nwhipage \divide\@nwpagetemp by 100
+              \ifnum\count@=\@nwpagetemp %  lo--least 2 digits of hi
+                \multiply\@nwpagetemp by 100
+                \advance \@nwhipage by -\@nwpagetemp
+                \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+              \else \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+              \fi
+            \fi
+          \fi%
+    \fi
+  \fi%
+  \edef\@tempa{\noexpand\nwix@cons\noexpand\nw@pages{\@tempa}}\@tempa\def\\##1{\@firstoftwo##1}%
+  \ifnum\@nwpagecount=1 \nwpageword \else \nwpagesword\fi~\commafy{\nw@pages}}
+\def\@nwaddrange{\advance\@nwhipage by \m@ne
+                 \ifnum\@nwhipage=\@nwlopage
+                      \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                                        {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                                         {\@nwloxreftag}}}%
+                 \else
+                   \count@=\@nwhipage \advance\count@ by \m@ne
+                   \ifnum\count@=\@nwlopage % consecutive pages
+                       \edef\@tempa{\noexpand\noexpand\noexpand\\%
+                                        {{\nwthepagenum{\number\@nwlosub}{\number\@nwlopage}}%
+                                         {\@nwloxreftag}}%
+                                     \noexpand\noexpand\noexpand\\%
+                                        {{\nwthepagenum{\number\@nwhisub}{\number\@nwhipage}}
+                                         {\@nwhixreftag}}}%
+                   \else \ifnum\@nwlopage<110 \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+                           \count@=\@nwlopage \divide\count@ by 100 \multiply\count@ by 100
+                           \ifnum\count@=\@nwlopage \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}\else
+                             \count@=\@nwlopage \divide\count@ by 100
+                             \@nwpagetemp=\@nwhipage \divide\@nwpagetemp by 100
+                             \ifnum\count@=\@nwpagetemp %  lo--least 2 digits of hi
+                               \multiply\@nwpagetemp by 100
+                               \advance \@nwhipage by -\@nwpagetemp
+                               \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+                             \else \edef\@tempa{\noexpand\noexpand\noexpand\\{{\number\@nwlopage--\number\@nwhipage}{}}}%
+                             \fi
+                           \fi
+                         \fi%
+                   \fi
+                 \fi%
+                 \edef\@tempa{\noexpand\nwix@cons\noexpand\nw@pages{\@tempa}}\@tempa}
+\def\nwpageword{\@nwlangdepchk}  % chunk, was page
+\def\nwpagesword{\@nwlangdepchks}  % chunk, was page
+\def\nwpageprep{\@nwlangdepin}     % in, was on
+\providecommand\nw@genericref[2]{% what to do, name of ref
+  \expandafter\nw@g@nericref\csname r@#2\endcsname#1{#2}}
+\providecommand\nw@g@nericref[3]{% control sequence, what to do, name
+  \ifx#1\relax
+    \ref{#3}% trigger the standard `undefined ref' mechanisms
+  \else
+    \expandafter#2#1.\\%
+  \fi}
+\def\nw@selectone#1#2#3\\{#1}
+\def\nw@selecttwo#1#2#3\\{#2}
+\def\nw@selectonetwo#1#2#3\\{{#1}{#2}}
+\providecommand{\subpageref}[1]{%
+  \nwhyperreference{#1}{\nw@genericref\@subpageref{#1}}}
+\def\@subpageref#1#2#3\\{%
+  \@ifundefined{2on#2}{#2}{\nwthepagenum{#1}{#2}}}
+\providecommand{\subpagepair}[1]{%  % produces {subpage}{page}
+  \@ifundefined{r@#1}%
+    {{0}{0}}%
+    {\nw@genericref\@subpagepair{#1}}}
+\def\@subpagepair#1#2#3\\{%
+  \@ifundefined{2on#2}{{0}{#2}}{{#1}{#2}}}
+\providecommand{\sublabel}[1]{%
+  \@bsphack
+  \nwblindhyperanchor{#1}%
+  \if@filesw {\let\thepage\relax
+   \def\protect{\noexpand\noexpand\noexpand}%
+   \edef\@tempa{\write\@auxout{\string
+      \newsublabel{#1}{{}{\thepage}}}}%
+   \expandafter}\@tempa
+   \if@nobreak \ifvmode\nobreak\fi\fi\fi\@esphack}
+\providecommand{\nosublabel}[1]{%
+  \@bsphack\if@filesw {\let\thepage\relax
+   \def\protect{\noexpand\noexpand\noexpand}%
+   \edef\@tempa{\write\@auxout{\string
+      \newlabel{#1}{{0}{\thepage}}}}%
+   \expandafter}\@tempa
+   \if@nobreak \ifvmode\nobreak\fi\fi\fi\@esphack}
+\providecommand\newsublabel{%
+  \nw@settrailers
+  \global\let\newsublabel\@newsublabel
+  \@newsublabel}
+\providecommand{\@newsublabel}[2]{%
+  \edef\this@page{\@cdr#2\@nil}%
+  \ifx\this@page\last@page\else
+    \sub@page=\z@
+  \fi
+  \edef\last@page{\this@page}
+  \advance\sub@page by \@ne
+  \ifnum\sub@page=\tw@
+    \global\@namedef{2on\this@page}{}%
+  \fi
+  \pendingsublabel{#1}%
+  \edef\@tempa##1{\noexpand\newlabel{##1}%
+    {{\number\sub@page}{\this@page}\nw@labeltrailers}}%
+  \pending@sublabels
+  \def\pending@sublabels{}}
+\providecommand\nw@settrailers{% -- won't work on first run
+  \@ifpackageloaded{nameref}%
+     {\gdef\nw@labeltrailers{{}{}{}}}%
+     {\gdef\nw@labeltrailers{}}}
+\renewcommand\nw@settrailers{% 
+  \@ifundefined{@secondoffive}%
+     {\gdef\nw@labeltrailers{}}%
+     {\gdef\nw@labeltrailers{{}{}{}}}}
+\providecommand{\nextchunklabel}[1]{%
+  \nwblindhyperanchor{#1}%   % looks slightly bogus --- nr
+  \@bsphack\if@filesw {\let\thepage\relax
+      \edef\@tempa{\write\@auxout{\string\pendingsublabel{#1}}}%
+      \expandafter}\@tempa
+   \if@nobreak \ifvmode\nobreak\fi\fi\fi\@esphack}
+\providecommand\pendingsublabel[1]{%
+  \def\@tempa{\noexpand\@tempa}%
+  \edef\pending@sublabels{\noexpand\@tempa{#1}\pending@sublabels}}
+\def\pending@sublabels{}
+\def\last@page{\relax}
+\newcount\sub@page
+\def\@alphasubpagenum#1#2{#2\ifnum#1=0 \else\@alph{#1}\fi}
+\def\@nosubpagenum#1#2{#2}
+\def\@numsubpagenum#1#2{#2\ifnum#1=0 \else.\@arabic{#1}\fi}
+\def\nwopt@nosubpage{\let\nwthepagenum=\@nosubpagenum\nwopt@nomargintag}
+\def\nwopt@numsubpage{\let\nwthepagenum=\@numsubpagenum}
+\def\nwopt@alphasubpage{\let\nwthepagenum=\@alphasubpagenum}
+\nwopt@alphasubpage
+\newcount\@nwalph@n
+\let\@nwalph@d\@tempcnta
+\let\@nwalph@bound\@tempcntb
+\def\@nwlongalph#1{{%
+  \@nwalph@n=#1\advance\@nwalph@n by-1
+  \@nwalph@bound=26
+  \loop\ifnum\@nwalph@n<\@nwalph@bound\else
+     \advance\@nwalph@n by -\@nwalph@bound
+     \multiply\@nwalph@bound by 26
+  \repeat
+  \loop\ifnum\@nwalph@bound>1
+    \divide\@nwalph@bound by 26
+    \@nwalph@d=\@nwalph@n\divide\@nwalph@d by \@nwalph@bound
+    % d := d * bound ; n -:= d; d := d / bound --- saves a temporary
+    \multiply\@nwalph@d by \@nwalph@bound
+    \advance\@nwalph@n by -\@nwalph@d
+    \divide\@nwalph@d by \@nwalph@bound
+    \advance\@nwalph@d by 1 \@alph{\@nwalph@d}%
+  \repeat
+}}
+\newcount\nw@chunkcount
+\nw@chunkcount=\@ne
+\providecommand{\weblabel}[1]{%
+  \@bsphack
+  \nwblindhyperanchor{#1}%
+  \if@filesw {\let\thepage\relax
+   \def\protect{\noexpand\noexpand\noexpand}%
+   \edef\@tempa{\write\@auxout{\string
+      \newsublabel{#1}{{}{\number\nw@chunkcount}}}}%
+   \expandafter}\@tempa
+   \global\advance\nw@chunkcount by \@ne
+   \if@nobreak \ifvmode\nobreak\fi\fi\fi\@esphack}
+\def\nwopt@webnumbering{%
+  \let\sublabel=\weblabel
+  \def\nwpageword{chunk}\def\nwpagesword{chunks}%
+  \def\nwpageprep{in}}
+% \nwindexdefn{printable name}{identifying label}{label of chunk}
+% \nwindexuse{printable name}{identifying label}{label of chunk}
+
+\def\nwindexdefn#1#2#3{\@auxix{\protect\nwixd}{#2}{#3}}
+\def\nwindexuse#1#2#3{\@auxix{\protect\nwixu}{#2}{#3}}
+
+\def\@auxix#1#2#3{% {marker}{id label}{subpage label}
+   \@bsphack\if@filesw {\let\nwixd\relax\let\nwixu\relax
+   \def\protect{\noexpand\noexpand\noexpand}%
+   \edef\@tempa{\write\@auxout{\string\nwixadd{#1}{#2}{#3}}}%
+   \expandafter}\@tempa
+   \if@nobreak \ifvmode\nobreak\fi\fi\fi\@esphack}
+% \nwixadd{marker}{idlabel}{subpage label}
+\def\nwixadd#1#2#3{%
+  \@ifundefined{nwixl@#2}%
+    {\global\@namedef{nwixl@#2}{#1{#3}}}%
+    {\expandafter\nwix@cons\csname nwixl@#2\endcsname{#1{#3}}}}
+\def\@nwsubscriptident#1#2{\mbox{$\mbox{#1}_{\mathrm{\subpageref{#2}}}$}}
+\def\@nwnosubscriptident#1#2{#1}
+\def\@nwhyperident#1#2{\leavevmode\nwhyperreference{#2}{#1}}
+\def\nwopt@subscriptidents{%
+  \let\nwlinkedidentq\@nwsubscriptident
+  \let\nwlinkedidentc\@nwsubscriptident
+}
+\def\nwopt@nosubscriptidents{%
+  \let\nwlinkedidentq\@nwnosubscriptident
+  \let\nwlinkedidentc\@nwnosubscriptident
+}
+\def\nwopt@hyperidents{%
+  \let\nwlinkedidentq\@nwhyperident
+  \let\nwlinkedidentc\@nwhyperident
+}
+\def\nwopt@nohyperidents{%
+  \let\nwlinkedidentq\@nwnosubscriptident
+  \let\nwlinkedidentc\@nwnosubscriptident
+}
+\def\nwopt@subscriptquotedidents{%
+  \let\nwlinkedidentq\@nwsubscriptident
+}
+\def\nwopt@nosubscriptquotedidents{%
+  \let\nwlinkedidentq\@nwnosubscriptident
+}
+\def\nwopt@hyperquotedidents{%
+  \let\nwlinkedidentq\@nwhyperident
+}
+\def\nwopt@nohyperquotedidents{%
+  \let\nwlinkedidentq\@nwnosubscriptident
+}
+\nwopt@hyperidents
+\newcount\@commacount
+\def\commafy#1{%
+  {\nwix@listcount{#1}\@commacount=\nwix@counter
+   \let\@comma@each=\\%
+   \ifcase\@commacount\let\\=\@comma@each\or\let\\=\@comma@each\or
+     \def\\{\def\\{ \@nwlangdepand\ \@comma@each}\@comma@each}\else
+     \def\\{\def\\{, %
+                   \advance\@commacount by \m@ne
+                   \ifnum\@commacount=1 \@nwlangdepand~\fi\@comma@each}\@comma@each}\fi
+   #1}}
+\def\nwix@cons#1#2{% {list}{\marker{element}}
+  {\toks0=\expandafter{#1}\def\@tempa{#2}\toks2=\expandafter{\@tempa}%
+   \xdef#1{\the\toks0 \the\toks2 }}}
+\def\nwix@uses#1{% {label}
+  \def\nwixu{\\}\let\nwixd\@gobble\@nameuse{nwixl@#1}}
+\def\nwix@defs#1{% {label}
+  \def\nwixd{\\}\let\nwixu\@gobble\@nameuse{nwixl@#1}}
+\newcount\nwix@counter
+\def\nwix@listcount#1{% {list with \\}
+  {\count@=0
+   \def\\##1{\advance\count@ by \@ne }%
+   #1\global\nwix@counter=\count@ }}
+\def\nwix@usecount#1{\nwix@listcount{\nwix@uses{#1}}}
+\def\nwix@defcount#1{\nwix@listcount{\nwix@defs{#1}}}
+\def\nwix@id@defs#1{% index pair
+  {{\Tt \@car#1\@nil}%
+  \def\\##1{~\subpageref{##1}}\nwix@defs{\@cdr#1\@nil}}}
+\def\nwidentuses#1{% list of index pairs
+  \nwcodecomment{\@nwlangdepuss\ \let\\=\nwix@id@defs\commafy{#1}.}}
+\def\nwix@totaluses#1{% list of index pairs
+  {\count@=0
+   \def\\##1{\nwix@usecount{\@cdr##1\@nil}\advance\count@ by\nwix@counter}%
+   #1\global\nwix@counter\count@ }}
+\def\nwix@id@uses#1#2{% {ident}{label}
+  \nwix@usecount{#2}\ifnum\nwix@counter>0
+    {\advance\leftskip by \codemargin
+     \nwcodecomment{{\Tt #1}, \@nwlangdepusd\ \nwpageprep\ \@pagesl{\nwix@uses{#2}}.}}%
+  \else
+    \ifnw@hideunuseddefs\else
+      {\advance\leftskip by \codemargin \nwcodecomment{{\Tt #1}, \@nwlangdepnvu.}}%
+    \fi
+  \fi}
+\def\nwidentdefs#1{% list of index pairs
+  \ifnw@hideunuseddefs\nwix@totaluses{#1}\else\nwix@listcount{#1}\fi
+  \ifnum\nwix@counter>0
+    \nwcodecomment{\@nwlangdepdfs:}%
+    {\def\\##1{\nwix@id@uses ##1}#1}%
+  \fi}
+\newif\ifnw@hideunuseddefs\nw@hideunuseddefsfalse
+\def\nwopt@hideunuseddefs{\nw@hideunuseddefstrue}
+\def\nwopt@noidentxref{%
+  \let\nwidentdefs\@gobble
+  \let\nwidentuses\@gobble}
+\def\nw@underlinedefs{% {list with \nwixd, \nwixu}
+  \let\\=\relax\def\nw@comma{, }
+  \def\nwixd##1{\\\underline{\subpageref{##1}}\let\\\nw@comma}%
+  \def\nwixu##1{\\\subpageref{##1}\let\\\nw@comma}}
+
+\def\nw@indexline#1#2{%
+   {\indent {\Tt #1}: \nw@underlinedefs\@nameuse{nwixl@#2}\par}}
+
+\newenvironment{thenowebindex}{\parindent=-10pt \parskip=\z@ 
+        \advance\leftskip by 10pt 
+        \advance\rightskip by 0pt plus1in\par\@afterindenttrue
+    \def\\##1{\nw@indexline##1}}{}
+\def\nowebindex{%
+  \@ifundefined{nwixs@i}%
+     {\@warning{The \string\nowebindex\space is empty}}%
+     {\begin{thenowebindex}\@nameuse{nwixs@i}\end{thenowebindex}}}
+\def\nowebindex@external{%
+  {\let\nwixadds@c=\@gobble
+   \def\nwixadds@i##1{\nw@indexline##1}%
+   \def\nwixaddsx##1##2{\@nameuse{nwixadds@##1}{##2}}%
+   \begin{thenowebindex}\@input{\jobname.nwi}\end{thenowebindex}}}
+\def\nwixlogsorted#1#2{% list data
+   \@bsphack\if@filesw 
+     \toks0={#2}\immediate\write\@auxout{\string\nwixadds{#1}{\the\toks0}}
+   \if@nobreak \ifvmode\nobreak\fi\fi\fi\@esphack}
+\def\nwixadds#1#2{%
+  \@ifundefined{nwixs@#1}%
+    {\global\@namedef{nwixs@#1}{\\{#2}}}%
+    {\expandafter\nwix@cons\csname nwixs@#1\endcsname{\\{#2}}}}
+\let\nwixaddsx=\@gobbletwo
+\def\nwopt@externalindex{%
+  \ifx\nwixadds\@gobbletwo % already called
+  \else
+    \let\nwixaddsx=\nwixadds \let\nwixadds=\@gobbletwo
+    \let\nowebindex=\nowebindex@external
+    \let\nowebchunks=\nowebchunks@external
+  \fi}
+\def\nowebchunks{%
+  \@ifundefined{nwixs@c}%
+     {\@warning{The are no \string\nowebchunks}}%
+     {\begin{thenowebchunks}\@nameuse{nwixs@c}\end{thenowebchunks}}}
+\def\nowebchunks@external{%
+  {\let\nwixadds@i=\@gobble
+   \def\nwixadds@c##1{\nw@onechunk##1}%
+   \def\nwixaddsx##1##2{\@nameuse{nwixadds@##1}{##2}}%
+   \begin{thenowebchunks}\@input{\jobname.nwi}\end{thenowebchunks}}}
+    \@namedef{r@nw@notdef}{{0}{(\@nwlangdepnvd)}}
+\def\nw@chunkunderlinedefs{% {list of labels with \nwixd, \nwixu}
+  \let\\=\relax\def\nw@comma{, }
+  \def\nwixd##1{\\\underline{\subpageref{##1}}\let\\\nw@comma}%
+  \def\nwixu##1{\\\subpageref{##1}\let\\\nw@comma}}
+\def\nw@onechunk#1#2#3{% {name}{label of first definition}{list with \nwixd, \nwixu}
+  \@ifundefined{r@#2}{}{%
+    \indent\LA #1~{\nwtagstyle\subpageref{#2}}\RA 
+    \if@nwlongchunks{~\nw@chunkunderlinedefs#3}\fi\par}}
+\newenvironment{thenowebchunks}{\vskip3pt
+  \parskip=\z@\parindent=-10pt \advance\leftskip by 10pt
+  \advance\rightskip by 0pt plus10pt \@afterindenttrue
+  \def\\##1{\nw@onechunk##1}}{}
+\newif\if@nwlongchunks
+\@nwlongchunksfalse
+\let\nwopt@longchunks\@nwlongchunkstrue
+\providecommand\@nw@hyper@ref{\hyperreference} % naras
+\providecommand\@nw@hyper@anc{\blindhyperanchor} % naras
+\providecommand\@nw@hyperref@ref[2]{\hyperlink{noweb.#1}{#2}}  % nr
+\providecommand\@nw@hyperref@anc[1]{\hypertarget{noweb.#1}{\relax}}  % nr
+%%\renewcommand\@nw@hyperref@ref[2]{{#2}}  % nr
+%%\renewcommand\@nw@hyperref@anc[1]{}  % nr
+\providecommand\nwhyperreference{%
+  \@ifundefined{hyperlink}
+    {\@ifundefined{hyperreference}
+       {\global\let\nwhyperreference\@gobble}
+       {\global\let\nwhyperreference\@nw@hyper@ref}}
+    {\global\let\nwhyperreference\@nw@hyperref@ref}%
+  \nwhyperreference
+}
+
+\providecommand\nwblindhyperanchor{%
+  \@ifundefined{hyperlink}
+    {\@ifundefined{hyperreference}
+       {\global\let\nwblindhyperanchor\@gobble}
+       {\global\let\nwblindhyperanchor\@nw@hyper@anc}}
+    {\global\let\nwblindhyperanchor\@nw@hyperref@anc}%
+  \nwblindhyperanchor
+}
+\providecommand\nwanchorto{%
+  \begingroup\let\do\@makeother\dospecials
+     \catcode`\{=1 \catcode`\}=2 \nw@anchorto}
+\providecommand\nw@anchorto[1]{\endgroup\def\nw@next{#1}\nw@anchortofin}
+\providecommand\nw@anchortofin[1]{#1\footnote{See URL \texttt{\nw@next}.}}
+\let\nwanchorname\@gobble
+\newif\ifhtml
+\htmlfalse
+\let\nwixident=\relax
+\def\nwbackslash{\char92}
+\def\nwlbrace{\char123}
+\def\nwrbrace{\char125}
+\def\nwopt@english{%
+  \def\@nwlangdepdef{This definition is continued}%
+  \def\@nwlangdepcud{This code is used}%
+  \def\@nwlangdeprtc{Root chunk (not used in this document)}%
+  \def\@nwlangdepcwf{This code is written to file}%
+  \def\@nwlangdepchk{chunk}%
+  \def\@nwlangdepchks{chunks}%
+  \def\@nwlangdepin{in}%
+  \def\@nwlangdepand{and}%
+  \def\@nwlangdepuss{Uses}%
+  \def\@nwlangdepusd{used}%
+  \def\@nwlangdepnvu{never used}%
+  \def\@nwlangdepdfs{Defines}%
+  \def\@nwlangdepnvd{never defined}%
+}
+\let\nwopt@american\nwopt@english
+\def\nwopt@portuges{%
+  \def\@nwlangdepdef{Defini\c{c}\~ao continuada em}%
+  % This definition is continued
+  \def\@nwlangdepcud{C\'odigo usado em}%
+  % This code is used
+  \def\@nwlangdeprtc{Fragmento de topo (sem uso no documento)}%
+  % Root chunk (not used in this document)
+  \def\@nwlangdepcwf{Este c\'odigo foi escrito no ficheiro}%
+  % This code is written to file
+  \def\@nwlangdepchk{fragmento}%
+  % chunk
+  \def\@nwlangdepchks{fragmentos}%
+  % chunks
+  \def\@nwlangdepin{no(s)}%
+  % in
+  \def\@nwlangdepand{e}%
+  % and
+  \def\@nwlangdepuss{Usa}%
+  % Uses
+  \def\@nwlangdepusd{usado}%
+  % used
+  \def\@nwlangdepnvu{nunca usado}%
+  % never used
+  \def\@nwlangdepdfs{Define}%
+  % Defines
+  \def\@nwlangdepnvd{nunca definido}%
+  % never defined
+}
+\def\nwopt@frenchb{%
+  \def\@nwlangdepdef{Cette d\'efinition suit}%
+  % This definition is continued
+  \def\@nwlangdepcud{Ce code est employ\'e}%
+  % This code is used
+  \def\@nwlangdeprtc{Morceau racine (pas employ\'e dans ce document)}%
+  % Root chunk (not used in this document)
+  \def\@nwlangdepcwf{Ce code est \'ecrit aux fichier}%
+  % This code is written to file
+  \def\@nwlangdepchk{le morceau}%
+  % chunk
+  \def\@nwlangdepchks{les morceaux}%
+  % chunks
+  \def\@nwlangdepin{dans}%
+  % in
+  \def\@nwlangdepand{et}%
+  % and
+  \def\@nwlangdepuss{Il emploie}%
+  % Uses
+  \def\@nwlangdepusd{employ\'{e}}%
+  % used
+  \def\@nwlangdepnvu{jamais employ\'{e}}%
+  % never used
+  \def\@nwlangdepdfs{Il d\'{e}fine}%
+  % Defines
+  % Cannot use the accent here: \def\@nwlangdepnvd{jamais d\'{e}fini}%
+  \def\@nwlangdepnvd{jamais defini}%
+  % never defined
+}
+\let\nwopt@french\nwopt@frenchb
+\def\nwopt@german{%
+  \def\@nwlangdepdef{Diese Definition wird fortgesetzt}%
+  % This definition is continued
+  \def\@nwlangdepcud{Dieser Code wird benutzt}%
+  % This code is used
+  \def\@nwlangdeprtc{Hauptteil (nicht in diesem Dokument benutzt)}%
+  % Root chunk (not used in this document)
+  \def\@nwlangdepcwf{Dieser Code schreibt man zum File}%
+  % This code is written to file
+  \def\@nwlangdepchk{Teil}%
+  % chunk
+  \def\@nwlangdepchks{Teils}%
+  % chunks
+  \def\@nwlangdepin{im}%
+  % in
+  \def\@nwlangdepand{und}%
+  % and
+  \def\@nwlangdepuss{Benutztt}%
+  % Uses
+  \def\@nwlangdepusd{benutzt}%
+  % used
+  \def\@nwlangdepnvu{nicht benutzt}%
+  % never used
+  \def\@nwlangdepdfs{Definiert}%
+  % Defines
+  \def\@nwlangdepnvd{nicht definiert}%
+  % never defined
+}
+\let\nwopt@ngerman\nwopt@german
+\ifx\languagename\undefined % default is English
+  \noweboptions{english}
+\else
+  \@ifundefined{nwopt@\languagename}
+     {\noweboptions{english}}
+     {\expandafter\noweboptions\expandafter{\languagename}}
+\fi
+% Final names for the system and its components were in doubt so
+% Language is used throughout the book to specify what the system is named.
+\providecommand{\Language}{AXIOM}
+
+% HyperName was used to specify the name of the browser
+\providecommand{\HyperName}{HyperDoc}
+
+% This is nothing more than inline math mode in Tex but has additional
+% meaning within the browser.
+\providecommand{\spad}[1]{${#1}$}
+
+% This is a way to say 8th, 100th, etc.
+% We use providecommand so it doesn't clash with amsmath package
+\providecommand{\eth}[1]{{#1}-th}
+
+% add the binom function for combfunc
+\providecommand{\binom}[2]{\left(\begin{array}{c}#1\\#2\end{array}\right)}
+
+% spadcommands are the actual text that you type at the axiom prompt
+\providecommand{\spadcommand}[1]%
+{\begin{flushleft}{\tt #1}\end{flushleft}\vskip .1cm }
+
+% spadgraph are the actual text that you type at the axiom prompt for draw
+\providecommand{\spadgraph}[1]%
+{\begin{flushleft}{\tt #1}\end{flushleft}\vskip .1cm }
+
+%% spadsig gives the standard -> notation for signatures
+\providecommand{\spadsig}[2]{{\sf #1 $\rightarrow$ #2}}
+
+% returnType is the type signature returned by the axiom interpreter
+\providecommand{\returnType}[1]%
+{\begin{flushright}{\tt #1}\end{flushright}\vskip .1cm}
+
+%%% Axiom commands are set off in a special boxed area. 
+%%% This is used to draw a line around that boxed area.
+\providecommand\boxed[2]{%
+\begin{center}
+\begin{tabular}{|c|}
+\hline
+\begin{minipage}{#1}
+\normalsize
+{#2}
+\end{minipage}\\
+\hline
+\end{tabular}
+\end{center}}
+
+% The book begins with some introductory material that is not really
+% listed as a chapter. This creates a header similar to \chapter.
+\providecommand{\pseudoChapter}[1]%
+{\vskip .5in \noindent {\Huge{\bf #1}}\vskip .5in}
+
+% The book begins with some introductory material that is not really
+% listed as a section. This creates a header similar to \section.
+\providecommand{\pseudoSection}[1]%
+{\vskip .25in \noindent {\large{\bf #1}}\vskip .25in}
+
+% spadofFrom records the operation in the index and the domain in the index
+\providecommand{\spadopFrom}[2]{\index{library!operations!#1 @\begingroup \string\tt{} #1 \endgroup}\index{#2}``{\tt #1}''}
+
+% spadfunFrom records the function name and domain in the index
+\providecommand{\spadfunFrom}[2]{{\bf #1}\index{#1 @\begingroup \string\bf{} #1 \endgroup}\index{#2}}
+
+% These are special markers within the text for Hypertex keywords
+% They have no particular meaning in the book form.
+\providecommand{\spadfun}[1]{{\it #1}}
+\providecommand{\spadgloss}[1]{{\it #1}}
+\providecommand{\spadkey}[1]{\index{#1 @\begingroup \string\tt{} #1 \endgroup}}
+ 
+% spadtype records the domain in the index
+\providecommand{\spadtype}[1]{{\bf #1}\index{#1 @\begingroup \string\bf{} #1 \endgroup}}
+
+% This is used to create a caption on an included image
+\providecommand{\simpleCaption}[1]{\def\thefigure{\@arabic\c@figure}\caption{#1}}
+
+% This is the name of the ``glossy'' pages in the physical book.
+\providecommand{\Gallery}{\Language{} Images}
+
+% spadofFrom records the operation in the index and the domain in the index
+\providecommand{\spadopFrom}[2]{\index{library!operations!#1 @\begingroup \string\tt{} #1 \endgroup}\index{#2}``{\tt #1}''}
+
+%% typeset e.g. and i.e.
+\providecommand{\eg}{\emph{e.g.}}
+\providecommand{\ie}{\emph{i.e.}}
+
+%% Typeset in-line code.
+\providecommand{\Code}[1]{\texttt{#1}}
+
+%% Typeset a file name
+\providecommand{\File}[1]{{\itshape{#1}}}
+
+%% Typeset a tool name, e.g. Axiom
+\providecommand{\Tool}[1]{{\bfseries\sffamily{#1}}}
+\providecommand\AXIOM{\vskip\parindent\indent{\bf AXIOM}\vskip\parindent\noindent\ignorespaces}
+\providecommand\maxima{\vskip\parindent\noindent{\bf MAXIMA}\vskip\parindent\noindent\ignorespaces}
+\providecommand\yacas{\vskip\parindent\noindent{\bf YACAS}\vskip\parindent\noindent\ignorespaces}
diff --git a/src/axiom-website/CATS/index.html b/src/axiom-website/CATS/index.html
index 60667b0..d2ad926 100644
--- a/src/axiom-website/CATS/index.html
+++ b/src/axiom-website/CATS/index.html
@@ -266,5 +266,140 @@ satisfies the original ordinary differential equation.<br/><br/>
   <a href="kamke7.input.pamphlet">source</a>
   <a href="kamke7.input.pdf">pdf</a><br/>
 
+<hr/>
+This portion of the CATS suite involves Albert Rich's Integration Suite.
+They have been rewritten using Axiom syntax. 
+<br/><br/>
+  algebraic000-099
+  <a href="richalgebraic000-099.input.pamphlet">source</a>
+  <a href="richalgebraic000-099.input.pdf">pdf</a><br/>
+  algebraic100-199
+  <a href="richalgebraic100-199.input.pamphlet">source</a>
+  <a href="richalgebraic100-199.input.pdf">pdf</a><br/>
+  algebraic200-299
+  <a href="richalgebraic200-299.input.pamphlet">source</a>
+  <a href="richalgebraic200-299.input.pdf">pdf</a><br/>
+  algebraic300-399
+  <a href="richalgebraic300-399.input.pamphlet">source</a>
+  <a href="richalgebraic300-399.input.pdf">pdf</a><br/>
+  algebraic400-461
+  <a href="richalgebraic400-461.input.pamphlet">source</a>
+  <a href="richalgebraic400-461.input.pdf">pdf</a><br/>
+<br/>
+  error000-078
+  <a href="richerror000-078.input.pamphlet">source</a>
+  <a href="richerror000-078.input.pdf">pdf</a><br/>
+<br/>
+  exponential
+  <a href="richexponential.input.pamphlet">source</a>
+  <a href="richexponential.input.pdf">pdf</a><br/>
+<br/>
+  hyper000-099
+  <a href="richhyper000-099.input.pamphlet">source</a>
+  <a href="richhyper000-099.input.pdf">pdf</a><br/>
+  hyper100-199
+  <a href="richhyper100-199,input.input.pamphlet">source</a>
+  <a href="richhyper100-199,input.input.pdf">pdf</a><br/>
+  hyper100-199
+  <a href="richhyper100-199.input.pamphlet">source</a>
+  <a href="richhyper100-199.input.pdf">pdf</a><br/>
+  hyper200-299
+  <a href="richhyper200-299.input.pamphlet">source</a>
+  <a href="richhyper200-299.input.pdf">pdf</a><br/>
+  hyper300-399
+  <a href="richhyper300-399.input.pamphlet">source</a>
+  <a href="richhyper300-399.input.pdf">pdf</a><br/>
+  hyper400-499
+  <a href="richhyper400-499.input.pamphlet">source</a>
+  <a href="richhyper400-499.input.pdf">pdf</a><br/>
+  hyper500-599
+  <a href="richhyper500-599.input.pamphlet">source</a>
+  <a href="richhyper500-599.input.pdf">pdf</a><br/>
+  hyper600-699
+  <a href="richhyper600-699.input.pamphlet">source</a>
+  <a href="richhyper600-699.input.pdf">pdf</a><br/>
+  hyper700-799
+  <a href="richhyper700-799.input.pamphlet">source</a>
+  <a href="richhyper700-799.input.pdf">pdf</a><br/>
+  hyper800-899
+  <a href="richhyper800-899.input.pamphlet">source</a>
+  <a href="richhyper800-899.input.pdf">pdf</a><br/>
+  hyper900-999
+  <a href="richhyper900-999.input.pamphlet">source</a>
+  <a href="richhyper900-999.input.pdf">pdf</a><br/>
+  hyper1000-1098
+  <a href="richhyper1000-1098.input.pamphlet">source</a>
+  <a href="richhyper1000-1098.input.pdf">pdf</a><br/>
+<br/>
+  intfunc000-032
+  <a href="richintfunc000-032.input.pamphlet">source</a>
+  <a href="richintfunc000-032.input.pdf">pdf</a><br/>
+<br/>
+  invhyper000-099
+  <a href="richinvhyper000-099.input.pamphlet">source</a>
+  <a href="richinvhyper000-099.input.pdf">pdf</a><br/>
+  invhyper100-199
+  <a href="richinvhyper100-199.input.pamphlet">source</a>
+  <a href="richinvhyper100-199.input.pdf">pdf</a><br/>
+  invhyper200-296
+  <a href="richinvhyper200-296.input.pamphlet">source</a>
+  <a href="richinvhyper200-296.input.pdf">pdf</a><br/>
+<br/>
+  invtrig000-092
+  <a href="richinvtrig000-092.input.pamphlet">source</a>
+  <a href="richinvtrig000-092.input.pdf">pdf</a><br/>
+<br/>
+  log000-099
+  <a href="richlog000-099.input.pamphlet">source</a>
+  <a href="richlog000-099.input.pdf">pdf</a><br/>
+  log100-199
+  <a href="richlog100-199.input.pamphlet">source</a>
+  <a href="richlog100-199.input.pdf">pdf</a><br/>
+  log200-299
+  <a href="richlog200-299.input.pamphlet">source</a>
+  <a href="richlog200-299.input.pdf">pdf</a><br/>
+  log300-391
+  <a href="richlog300-391.input.pamphlet">source</a>
+  <a href="richlog300-391.input.pdf">pdf</a><br/>
+<br/>
+  rational
+  <a href="richrational.input.pamphlet">source</a>
+  <a href="richrational.input.pdf">pdf</a><br/>
+<br/>
+  specfunc000-022
+  <a href="richspecfunc000-022.input.pamphlet">source</a>
+  <a href="richspecfunc000-022.input.pdf">pdf</a><br/>
+<br/>
+  trig000-099
+  <a href="richtrig000-099.input.pamphlet">source</a>
+  <a href="richtrig000-099.input.pdf">pdf</a><br/>
+  trig100-199
+  <a href="richtrig100-199.input.pamphlet">source</a>
+  <a href="richtrig100-199.input.pdf">pdf</a><br/>
+  trig200-299
+  <a href="richtrig200-299.input.pamphlet">source</a>
+  <a href="richtrig200-299.input.pdf">pdf</a><br/>
+  trig300-399
+  <a href="richtrig300-399.input.pamphlet">source</a>
+  <a href="richtrig300-399.input.pdf">pdf</a><br/>
+  trig400-499
+  <a href="richtrig400-499.input.pamphlet">source</a>
+  <a href="richtrig400-499.input.pdf">pdf</a><br/>
+  trig500-599
+  <a href="richtrig500-599.input.pamphlet">source</a>
+  <a href="richtrig500-599.input.pdf">pdf</a><br/>
+  trig600-699
+  <a href="richtrig600-699.input.pamphlet">source</a>
+  <a href="richtrig600-699.input.pdf">pdf</a><br/>
+  trig700-799
+  <a href="richtrig700-799.input.pamphlet">source</a>
+  <a href="richtrig700-799.input.pdf">pdf</a><br/>
+  trig800-899
+  <a href="richtrig800-899.input.pamphlet">source</a>
+  <a href="richtrig800-899.input.pdf">pdf</a><br/>
+  trig900-920
+  <a href="richtrig900-920.input.pamphlet">source</a>
+  <a href="richtrig900-920.input.pdf">pdf</a><br/>
+
  </body>
-</html>
\ No newline at end of file
+</html>
diff --git a/src/axiom-website/CATS/richalgebraic000-099.input.pamphlet b/src/axiom-website/CATS/richalgebraic000-099.input.pamphlet
new file mode 100644
index 0000000..a93236a
--- /dev/null
+++ b/src/axiom-website/CATS/richalgebraic000-099.input.pamphlet
@@ -0,0 +1,4982 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input richalgebraic000-099.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f richalgebraic000-099.output
+)spool richalgebraic000-099.output
+)set message test on
+)set message auto off
+)clear all
+ 
+--S 1 of 518
+t0000:= (c*(a+b*x)^2)^(5/2)
+--R 
+--R
+--R   (1)
+--R                                                      +-----------------------+
+--R     4 2 4       3 2 3     2 2 2 2     3   2     4 2  | 2   2               2
+--R   (b c x  + 4a b c x  + 6a b c x  + 4a b c x + a c )\|b c x  + 2a b c x + a c
+--R                                                    Type: Expression(Integer)
+--E 1
+
+--S 2 of 518
+r0000:= 1/6*(a+b*x)*(c*(a+b*x)^2)^(5/2)/b
+--R 
+--R
+--R   (2)
+--R         5 2 5       4 2 4      2 3 2 3      3 2 2 2     4   2     5 2
+--R       (b c x  + 5a b c x  + 10a b c x  + 10a b c x  + 5a b c x + a c )
+--R    *
+--R        +-----------------------+
+--R        | 2   2               2
+--R       \|b c x  + 2a b c x + a c
+--R  /
+--R     6b
+--R                                                    Type: Expression(Integer)
+--E 2
+
+--S 3 of 518
+a0000:= integrate(t0000,x)
+--R 
+--R
+--R   (3)
+--R     5 2 6       4 2 5      2 3 2 4      3 2 2 3      4   2 2     5 2   +-+
+--R   (b c x  + 6a b c x  + 15a b c x  + 20a b c x  + 15a b c x  + 6a c x)\|c
+--R   ------------------------------------------------------------------------
+--R                                       6
+--R                                         Type: Union(Expression(Integer),...)
+--E 3
+
+--S 4 of 518
+m0000:= a0000-r0000
+--R 
+--R
+--R   (4)
+--R             5 2 5       4 2 4      2 3 2 3      3 2 2 2     4   2     5 2
+--R         (- b c x  - 5a b c x  - 10a b c x  - 10a b c x  - 5a b c x - a c )
+--R      *
+--R          +-----------------------+
+--R          | 2   2               2
+--R         \|b c x  + 2a b c x + a c
+--R     + 
+--R       6 2 6       5 2 5      2 4 2 4      3 3 2 3      4 2 2 2     5   2   +-+
+--R     (b c x  + 6a b c x  + 15a b c x  + 20a b c x  + 15a b c x  + 6a b c x)\|c
+--R  /
+--R     6b
+--R                                                    Type: Expression(Integer)
+--E 4
+
+--S 5 of 518
+d0000:= D(m0000,x)
+--R 
+--R
+--R   (5)
+--R           5 2 5       4 2 4      2 3 2 3      3 2 2 2     4   2     5 2  +-+
+--R         (b c x  + 5a b c x  + 10a b c x  + 10a b c x  + 5a b c x + a c )\|c
+--R      *
+--R          +-----------------------+
+--R          | 2   2               2
+--R         \|b c x  + 2a b c x + a c
+--R     + 
+--R          6 3 6       5 3 5      2 4 3 4      3 3 3 3      4 2 3 2     5   3
+--R       - b c x  - 6a b c x  - 15a b c x  - 20a b c x  - 15a b c x  - 6a b c x
+--R     + 
+--R          6 3
+--R       - a c
+--R  /
+--R      +-----------------------+
+--R      | 2   2               2
+--R     \|b c x  + 2a b c x + a c
+--R                                                    Type: Expression(Integer)
+--E 5
+
+--S 6 of 518
+t0001:= (c*(a+b*x)^2)^(3/2)
+--R 
+--R
+--R                                  +-----------------------+
+--R          2   2               2   | 2   2               2
+--R   (6)  (b c x  + 2a b c x + a c)\|b c x  + 2a b c x + a c
+--R                                                    Type: Expression(Integer)
+--E 6
+
+--S 7 of 518
+r0001:= 1/4*(a+b*x)*(c*(a+b*x)^2)^(3/2)/b
+--R 
+--R
+--R                                              +-----------------------+
+--R          3   3       2   2     2         3   | 2   2               2
+--R        (b c x  + 3a b c x  + 3a b c x + a c)\|b c x  + 2a b c x + a c
+--R   (7)  ---------------------------------------------------------------
+--R                                       4b
+--R                                                    Type: Expression(Integer)
+--E 7
+
+--S 8 of 518
+a0001:= integrate(t0001,x)
+--R 
+--R
+--R          3   4       2   3     2     2     3     +-+
+--R        (b c x  + 4a b c x  + 6a b c x  + 4a c x)\|c
+--R   (8)  ---------------------------------------------
+--R                              4
+--R                                         Type: Union(Expression(Integer),...)
+--E 8
+
+--S 9 of 518
+m0001:= a0001-r0001
+--R 
+--R
+--R   (9)
+--R                                               +-----------------------+
+--R           3   3       2   2     2         3   | 2   2               2
+--R       (- b c x  - 3a b c x  - 3a b c x - a c)\|b c x  + 2a b c x + a c
+--R     + 
+--R         4   4       3   3     2 2   2     3       +-+
+--R       (b c x  + 4a b c x  + 6a b c x  + 4a b c x)\|c
+--R  /
+--R     4b
+--R                                                    Type: Expression(Integer)
+--E 9
+
+--S 10 of 518
+d0001:= D(m0001,x)
+--R 
+--R
+--R   (10)
+--R                                                 +-----------------------+
+--R         3   3       2   2     2         3   +-+ | 2   2               2
+--R       (b c x  + 3a b c x  + 3a b c x + a c)\|c \|b c x  + 2a b c x + a c
+--R     + 
+--R          4 2 4       3 2 3     2 2 2 2     3   2     4 2
+--R       - b c x  - 4a b c x  - 6a b c x  - 4a b c x - a c
+--R  /
+--R      +-----------------------+
+--R      | 2   2               2
+--R     \|b c x  + 2a b c x + a c
+--R                                                    Type: Expression(Integer)
+--E 10
+
+--S 11 of 518
+t0002:= 1/(c/(a+b*x)^2)^(3/2)
+--R 
+--R
+--R            2 2             2
+--R           b x  + 2a b x + a
+--R   (11)  ----------------------
+--R           +------------------+
+--R           |         c
+--R         c |------------------
+--R           | 2 2             2
+--R          \|b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 11
+
+--S 12 of 518
+r0002:= 1/4*(a+b*x)/b/(c/(a+b*x)^2)^(3/2)
+--R 
+--R
+--R          3 3       2 2     2       3
+--R         b x  + 3a b x  + 3a b x + a
+--R   (12)  ----------------------------
+--R                +------------------+
+--R                |         c
+--R           4b c |------------------
+--R                | 2 2             2
+--R               \|b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 12
+
+--S 13 of 518
+a0002:= integrate(t0002,x)
+--R 
+--R
+--R          3 4       2 3     2   2     3
+--R         b x  + 4a b x  + 6a b x  + 4a x
+--R   (13)  -------------------------------
+--R                         +-+
+--R                      4c\|c
+--R                                         Type: Union(Expression(Integer),...)
+--E 13
+
+--S 14 of 518
+m0002:= a0002-r0002
+--R 
+--R
+--R   (14)
+--R           3 3       2 2     2       3  +-+
+--R       (- b x  - 3a b x  - 3a b x - a )\|c
+--R     + 
+--R                                           +------------------+
+--R         4 4       3 3     2 2 2     3     |         c
+--R       (b x  + 4a b x  + 6a b x  + 4a b x) |------------------
+--R                                           | 2 2             2
+--R                                          \|b x  + 2a b x + a
+--R  /
+--R          +------------------+
+--R          |         c          +-+
+--R     4b c |------------------ \|c
+--R          | 2 2             2
+--R         \|b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 14
+
+--S 15 of 518
+d0002:= D(m0002,x)
+--R 
+--R
+--R   (15)
+--R                                      +------------------+
+--R         3 3       2 2     2       3  |         c          +-+    2   2
+--R       (b x  + 3a b x  + 3a b x + a ) |------------------ \|c  - b c x
+--R                                      | 2 2             2
+--R                                     \|b x  + 2a b x + a
+--R     + 
+--R                     2
+--R       - 2a b c x - a c
+--R  /
+--R        +------------------+
+--R      2 |         c
+--R     c  |------------------
+--R        | 2 2             2
+--R       \|b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 15
+
+--S 16 of 518
+t0003:= 1/(c/(a+b*x)^2)^(5/2)
+--R 
+--R
+--R          4 4       3 3     2 2 2     3       4
+--R         b x  + 4a b x  + 6a b x  + 4a b x + a
+--R   (16)  --------------------------------------
+--R                    +------------------+
+--R                  2 |         c
+--R                 c  |------------------
+--R                    | 2 2             2
+--R                   \|b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 16
+
+--S 17 of 518
+r0003:= 1/6*(a+b*x)/b/(c/(a+b*x)^2)^(5/2)
+--R 
+--R
+--R          5 5       4 4      2 3 3      3 2 2     4       5
+--R         b x  + 5a b x  + 10a b x  + 10a b x  + 5a b x + a
+--R   (17)  --------------------------------------------------
+--R                           +------------------+
+--R                         2 |         c
+--R                     6b c  |------------------
+--R                           | 2 2             2
+--R                          \|b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 17
+
+--S 18 of 518
+a0003:= integrate(t0003,x)
+--R 
+--R
+--R          5 6       4 5      2 3 4      3 2 3      4   2     5
+--R         b x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a x
+--R   (18)  ------------------------------------------------------
+--R                                   2 +-+
+--R                                 6c \|c
+--R                                         Type: Union(Expression(Integer),...)
+--E 18
+
+--S 19 of 518
+m0003:= a0003-r0003
+--R 
+--R
+--R   (19)
+--R           5 5       4 4      2 3 3      3 2 2     4       5  +-+
+--R       (- b x  - 5a b x  - 10a b x  - 10a b x  - 5a b x - a )\|c
+--R     + 
+--R           6 6       5 5      2 4 4      3 3 3      4 2 2     5
+--R         (b x  + 6a b x  + 15a b x  + 20a b x  + 15a b x  + 6a b x)
+--R      *
+--R          +------------------+
+--R          |         c
+--R          |------------------
+--R          | 2 2             2
+--R         \|b x  + 2a b x + a
+--R  /
+--R           +------------------+
+--R         2 |         c          +-+
+--R     6b c  |------------------ \|c
+--R           | 2 2             2
+--R          \|b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 19
+
+--S 20 of 518
+d0003:= D(m0003,x)
+--R 
+--R
+--R   (20)
+--R           5 5       4 4      2 3 3      3 2 2     4       5
+--R         (b x  + 5a b x  + 10a b x  + 10a b x  + 5a b x + a )
+--R      *
+--R          +------------------+
+--R          |         c          +-+
+--R          |------------------ \|c
+--R          | 2 2             2
+--R         \|b x  + 2a b x + a
+--R     + 
+--R          4   4       3   3     2 2   2     3         4
+--R       - b c x  - 4a b c x  - 6a b c x  - 4a b c x - a c
+--R  /
+--R        +------------------+
+--R      3 |         c
+--R     c  |------------------
+--R        | 2 2             2
+--R       \|b x  + 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 20
+
+--S 21 of 518
+t0004:= 1/(2-3*x)^(1/2)/(2+3*x)^(1/2)
+--R 
+--R
+--R                   1
+--R   (21)  --------------------
+--R          +--------+ +------+
+--R         \|- 3x + 2 \|3x + 2
+--R                                                    Type: Expression(Integer)
+--E 21
+
+--S 22 of 518
+r0004:= 1/3*asin(3/2*x)
+--R 
+--R
+--R              3x
+--R         asin(--)
+--R               2
+--R   (22)  --------
+--R             3
+--R                                                    Type: Expression(Integer)
+--E 22
+
+--S 23 of 518
+--a0004:= integrate(t0004,x)
+-- bug 7207: causes infinite loop in integrator.
+--E 23
+
+--S 24 of 518
+t0005:= 1/(3-x)^(1/2)/(5+x)^(1/2)
+--R 
+--R
+--R                  1
+--R   (23)  ------------------
+--R          +-------+ +-----+
+--R         \|- x + 3 \|x + 5
+--R                                                    Type: Expression(Integer)
+--E 24
+
+--S 25 of 518
+r0005:= asin(1/4+1/4*x)
+--R 
+--R
+--R              x + 1
+--R   (24)  asin(-----)
+--R                4
+--R                                                    Type: Expression(Integer)
+--E 25
+
+--S 26 of 518
+--a0005:= integrate(t0005,x)
+--E 26
+
+--S 27 of 518
+--m0005:= a0005-r0005
+--E 28
+
+--S 28 of 518
+--d0005:= D(m0005,x)
+--E 28
+
+--S 29 of 518
+t0006:= 1/(-3-x)^(1/2)/(5+x)^(1/2)
+--R 
+--R
+--R                  1
+--R   (25)  ------------------
+--R          +-------+ +-----+
+--R         \|- x - 3 \|x + 5
+--R                                                    Type: Expression(Integer)
+--E 29
+
+--S 30 of 518
+r0006:= asin(4+x)
+--R 
+--R
+--R   (26)  asin(x + 4)
+--R                                                    Type: Expression(Integer)
+--E 30
+
+--S 31 of 518
+--a0006:= integrate(t0006,x)
+--E 31
+
+--S 32 of 518
+--m0006:= a0006-r0006
+--E 32
+
+--S 33 of 518
+--d0006:= D(m0006,x)
+--E 33
+
+--S 34 of 518
+t0007:= (1-x)^(1/2)*(1+x)^(1/2)
+--R 
+--R
+--R          +-------+ +-----+
+--R   (27)  \|- x + 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 34
+
+--S 35 of 518
+r0007:= 1/2*x*(1-x^2)^(1/2)+1/2*asin(x)
+--R 
+--R
+--R           +--------+
+--R           |   2
+--R         x\|- x  + 1  + asin(x)
+--R   (28)  ----------------------
+--R                    2
+--R                                                    Type: Expression(Integer)
+--E 35
+
+--S 36 of 518
+--a0007:= integrate(t0007,x)
+--E 36
+
+--S 37 of 518
+--m0007:= a0007-r0007
+--E 37
+
+--S 38 of 518
+--d0007:= D(m0007,x)
+--E 38
+
+--S 39 of 518
+t0008:= 1/(1-x)^(1/2)/(1+x)^(1/2)
+--R 
+--R
+--R                  1
+--R   (29)  ------------------
+--R          +-------+ +-----+
+--R         \|- x + 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 39
+
+--S 40 of 518
+r0008:= asin(x)
+--R 
+--R
+--R   (30)  asin(x)
+--R                                                    Type: Expression(Integer)
+--E 40
+
+--S 41 of 518
+--a0008:= integrate(t0008,x)
+--E 41
+
+--S 42 of 518
+--m0008:= a0008-r0008
+--E 42
+
+--S 43 of 518
+--d0008:= D(m0008,x)
+--E 43
+
+--S 44 of 518
+t0009:= 1/(1-x)^(3/2)/(1+x)^(3/2)
+--R 
+--R
+--R                        1
+--R   (31)  - --------------------------
+--R             2      +-------+ +-----+
+--R           (x  - 1)\|- x + 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 44
+
+--S 45 of 518
+r0009:= x/(1-x^2)^(1/2)
+--R 
+--R
+--R              x
+--R   (32)  -----------
+--R          +--------+
+--R          |   2
+--R         \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 45
+
+\end{chunk}
+Occasionally we get a different answer to this same integration:
+\begin{verbatim}
+ 
+
+             +-------+ +-----+
+           x\|- x + 1 \|x + 1
+   (33)  - -------------------
+                   2
+                  x  - 1
+--R                                         Type: Union(Expression(Integer),...)
+\end{verbatim}
+Both answers are correct as can be seen by taking the difference between
+the original integrand and the derivative of the expression.
+\begin{chunk}{*}
+--S 46 of 518 ok to fail. there appear to be 2 answers (see above)
+a0009:= integrate(t0009,x)
+--R 
+--R
+--R             +-------+ +-----+
+--R           x\|- x + 1 \|x + 1
+--R   (33)  - -------------------
+--R                   2
+--R                  x  - 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 46
+
+\end{chunk}
+Occasionally we get a different answer to this same integration:
+\begin{verbatim}
+ 
+
+             +--------+
+             |   2      +-------+ +-----+    3
+         - x\|- x  + 1 \|- x + 1 \|x + 1  - x  + x
+   (34)  -----------------------------------------
+                             +--------+
+                      2      |   2
+                    (x  - 1)\|- x  + 1
+\end{verbatim}
+Both answers are correct as can be seen by taking the difference between
+the original integrand and the derivative of the expression.
+\begin{chunk}{*}
+--S 47 of 518  ok to fail. there appear to be 2 answers (see above)
+m0009:= a0009-r0009
+--R 
+--R
+--R              +--------+                                 +--------+
+--R              |   2      +-------+ +-----+        2      |   2          3
+--R         - 3x\|- x  + 1 \|- x + 1 \|x + 1  + (- 2x  + 2)\|- x  + 1  - 3x  + 3x
+--R   (34)  ---------------------------------------------------------------------
+--R                                            +--------+
+--R                                     2      |   2
+--R                                  (3x  - 3)\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 47
+
+--S 48 of 518
+d0009:= D(m0009,x)
+--R 
+--R
+--R                                  +--------+
+--R             +-------+ +-----+    |   2
+--R            \|- x + 1 \|x + 1  - \|- x  + 1
+--R   (35)  -------------------------------------
+--R                  +--------+
+--R           2      |   2      +-------+ +-----+
+--R         (x  - 1)\|- x  + 1 \|- x + 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 48
+
+--S 49 of 518
+t0010:= (3-x)^(1/2)*(-2+x)^(1/2)
+--R 
+--R
+--R          +-------+ +-----+
+--R   (36)  \|- x + 3 \|x - 2
+--R                                                    Type: Expression(Integer)
+--E 49
+
+--S 50 of 518
+r0010:= -1/4*(5-2*x)*(-6+5*x-x^2)^(1/2)+1/8*asin(-5+2*x)
+--R 
+--R
+--R                   +-------------+
+--R                   |   2
+--R         (4x - 10)\|- x  + 5x - 6  + asin(2x - 5)
+--R   (37)  ----------------------------------------
+--R                             8
+--R                                                    Type: Expression(Integer)
+--E 50
+
+--S 51 of 518
+--a0010:= integrate(t0010,x)
+--E 51
+
+--S 52 of 518
+--m0010:= a0010-r0010
+--E 52
+
+--S 53 of 518
+--d0010:= D(m0010,x)
+--E 53
+
+--S 54 of 518
+t0011:= 1/(3-x)^(1/2)/(-2+x)^(1/2)
+--R 
+--R
+--R                  1
+--R   (38)  ------------------
+--R          +-------+ +-----+
+--R         \|- x + 3 \|x - 2
+--R                                                    Type: Expression(Integer)
+--E 54
+
+--S 55 of 518
+r0011:= asin(-5+2*x)
+--R 
+--R
+--R   (39)  asin(2x - 5)
+--R                                                    Type: Expression(Integer)
+--E 55
+
+--S 56 of 518
+--a0011:= integrate(t0011,x)
+--E 56
+
+--S 57 of 518
+--m0011:= a0011-r0011
+--E 57
+
+--S 58 of 518
+--d0011:= D(m0011,x)
+--E 58
+
+--S 59 of 518
+t0012:= x^(1/2)/(-a+b*x)^2
+--R 
+--R
+--R                 +-+
+--R                \|x
+--R   (40)  ------------------
+--R          2 2             2
+--R         b x  - 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 59
+
+--S 60 of 518
+r0012:= x^(1/2)/b/(a-b*x)-atanh(b^(1/2)*x^(1/2)/a^(1/2))/a^(1/2)/b^(3/2)
+--R 
+--R
+--R                           +-+ +-+
+--R                          \|b \|x      +-+ +-+ +-+
+--R         (- b x + a)atanh(--------) - \|a \|b \|x
+--R                             +-+
+--R                            \|a
+--R   (41)  -----------------------------------------
+--R                      2         +-+ +-+
+--R                    (b x - a b)\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 60
+
+--S 61 of 518
+a0012:= integrate(t0012,x)
+--R 
+--R
+--R   (42)
+--R                        +-+             +---+
+--R                 - 2a b\|x  + (b x + a)\|a b       +---+ +-+
+--R    (b x - a)log(----------------------------) - 2\|a b \|x
+--R                            b x - a
+--R   [--------------------------------------------------------,
+--R                          2          +---+
+--R                       (2b x - 2a b)\|a b
+--R                     +-----+ +-+
+--R                    \|- a b \|x      +-----+ +-+
+--R    (- b x + a)atan(------------) - \|- a b \|x
+--R                          a
+--R    --------------------------------------------]
+--R                   2         +-----+
+--R                 (b x - a b)\|- a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 61
+
+--S 62 of 518
+m0012a:= a0012.1-r0012
+--R 
+--R
+--R                            +-+             +---+                  +-+ +-+
+--R          +-+ +-+    - 2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R         \|a \|b log(----------------------------) + 2\|a b atanh(--------)
+--R                                b x - a                              +-+
+--R                                                                    \|a
+--R   (43)  ------------------------------------------------------------------
+--R                                     +-+ +-+ +---+
+--R                                  2b\|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 62
+
+--S 63 of 518
+d0012a:= D(m0012a,x)
+--R 
+--R
+--R   (44)  0
+--R                                                    Type: Expression(Integer)
+--E 63
+
+--S 64 of 518
+m0012b:= a0012.1-r0012
+--R 
+--R
+--R                            +-+             +---+                  +-+ +-+
+--R          +-+ +-+    - 2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R         \|a \|b log(----------------------------) + 2\|a b atanh(--------)
+--R                                b x - a                              +-+
+--R                                                                    \|a
+--R   (45)  ------------------------------------------------------------------
+--R                                     +-+ +-+ +---+
+--R                                  2b\|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 64
+
+--S 65 of 518
+d0012b:= D(m0012b,x)
+--R 
+--R
+--R   (46)  0
+--R                                                    Type: Expression(Integer)
+--E 65
+
+--S 66 of 518
+t0013:= x^(1/2)/(-a+b*x)^3
+--R 
+--R
+--R                      +-+
+--R                     \|x
+--R   (47)  ----------------------------
+--R          3 3       2 2     2       3
+--R         b x  - 3a b x  + 3a b x - a
+--R                                                    Type: Expression(Integer)
+--E 66
+
+--S 67 of 518
+r0013:= -1/2*x^(1/2)/b/(a-b*x)^2+1/4*x^(1/2)/a/b/(a-b*x)+_
+         1/4*atanh(b^(1/2)*x^(1/2)/a^(1/2))/a^(3/2)/b^(3/2)
+--R 
+--R
+--R                                    +-+ +-+
+--R           2 2             2       \|b \|x                 +-+ +-+ +-+
+--R         (b x  - 2a b x + a )atanh(--------) + (- b x - a)\|a \|b \|x
+--R                                      +-+
+--R                                     \|a
+--R   (48)  -------------------------------------------------------------
+--R                            3 2     2 2      3   +-+ +-+
+--R                       (4a b x  - 8a b x + 4a b)\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 67
+
+--S 68 of 518
+a0013:= integrate(t0013,x)
+--R 
+--R
+--R   (49)
+--R   [
+--R                                      +-+             +---+
+--R           2 2             2     2a b\|x  + (b x + a)\|a b
+--R         (b x  - 2a b x + a )log(--------------------------)
+--R                                           b x - a
+--R       + 
+--R                       +---+ +-+
+--R         (- 2b x - 2a)\|a b \|x
+--R    /
+--R            3 2      2 2      3   +---+
+--R       (8a b x  - 16a b x + 8a b)\|a b
+--R     ,
+--R                              +-----+ +-+
+--R      2 2             2      \|- a b \|x                 +-----+ +-+
+--R    (b x  - 2a b x + a )atan(------------) + (- b x - a)\|- a b \|x
+--R                                   a
+--R    ----------------------------------------------------------------]
+--R                         3 2     2 2      3   +-----+
+--R                    (4a b x  - 8a b x + 4a b)\|- a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 68
+
+--S 69 of 518
+m0013a:= a0013.1-r0013
+--R 
+--R
+--R                          +-+             +---+                  +-+ +-+
+--R          +-+ +-+    2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R         \|a \|b log(--------------------------) - 2\|a b atanh(--------)
+--R                               b x - a                             +-+
+--R                                                                  \|a
+--R   (50)  ----------------------------------------------------------------
+--R                                     +-+ +-+ +---+
+--R                                8a b\|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 69
+
+--S 70 of 518
+d0013a:= D(m0013a,x)
+--R 
+--R
+--R   (51)  0
+--R                                                    Type: Expression(Integer)
+--E 70
+
+--S 71 of 518
+m0013b:= a0013.2-r0013
+--R 
+--R
+--R                          +-+ +-+                  +-----+ +-+
+--R            +-----+      \|b \|x      +-+ +-+     \|- a b \|x
+--R         - \|- a b atanh(--------) + \|a \|b atan(------------)
+--R                            +-+                         a
+--R                           \|a
+--R   (52)  ------------------------------------------------------
+--R                               +-----+ +-+ +-+
+--R                          4a b\|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 71
+
+--S 72 of 518
+d0013b:= D(m0013b,x)
+--R 
+--R
+--R   (53)  0
+--R                                                    Type: Expression(Integer)
+--E 72
+
+--S 73 of 518
+t0014:= x^(3/2)/(-a+b*x)^2
+--R 
+--R
+--R                  +-+
+--R                x\|x
+--R   (54)  ------------------
+--R          2 2             2
+--R         b x  - 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 73
+
+--S 74 of 518
+r0014:= 3*x^(1/2)/b^2+x^(3/2)/b/(a-b*x)-_
+        3*a^(1/2)*atanh(b^(1/2)*x^(1/2)/a^(1/2))/b^(5/2)
+--R 
+--R
+--R                                 +-+ +-+
+--R                       +-+      \|b \|x                 +-+ +-+
+--R         (- 3b x + 3a)\|a atanh(--------) + (2b x - 3a)\|b \|x
+--R                                   +-+
+--R                                  \|a
+--R   (55)  ------------------------------------------------------
+--R                              3       2  +-+
+--R                            (b x - a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 74
+
+--S 75 of 518
+a0014:= integrate(t0014,x)
+--R 
+--R
+--R   (56)
+--R                            +-+
+--R                            |a  +-+
+--R                +-+    - 2b |- \|x  + b x + a
+--R                |a         \|b                               +-+
+--R    (3b x - 3a) |- log(----------------------) + (4b x - 6a)\|x
+--R               \|b             b x - a
+--R   [------------------------------------------------------------,
+--R                              3        2
+--R                            2b x - 2a b
+--R                  +---+       +-+
+--R                  |  a       \|x                  +-+
+--R    (- 3b x + 3a) |- - atan(------) + (2b x - 3a)\|x
+--R                 \|  b       +---+
+--R                             |  a
+--R                             |- -
+--R                            \|  b
+--R    -------------------------------------------------]
+--R                         3       2
+--R                        b x - a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 75
+
+--S 76 of 518
+m0014a:= a0014.1-r0014
+--R 
+--R
+--R                            +-+
+--R                            |a  +-+
+--R            +-+        - 2b |- \|x  + b x + a               +-+ +-+
+--R            |a  +-+        \|b                    +-+      \|b \|x
+--R         3  |- \|b log(---------------------- + 6\|a atanh(--------)
+--R           \|b                 b x - a                        +-+
+--R                                                             \|a
+--R   (57)  -----------------------------------------------------------
+--R                                     2 +-+
+--R                                   2b \|b
+--R                                                    Type: Expression(Integer)
+--E 76
+
+--S 77 of 518
+d0014a:= D(m0014a,x)
+--R 
+--R
+--R   (58)  0
+--R                                                    Type: Expression(Integer)
+--E 77
+
+--S 78 of 518
+m0014b:= a0014.2-r0014
+--R 
+--R
+--R                     +-+ +-+       +---+           +-+
+--R           +-+      \|b \|x        |  a  +-+      \|x
+--R         3\|a atanh(--------) - 3  |- - \|b atan(------)
+--R                       +-+        \|  b           +---+
+--R                      \|a                         |  a
+--R                                                  |- -
+--R                                                 \|  b
+--R   (59)  ----------------------------------------------
+--R                              2 +-+
+--R                             b \|b
+--R                                                    Type: Expression(Integer)
+--E 78
+
+--S 79 of 518
+d0014b:= D(m0014b,x)
+--R 
+--R
+--R   (60)  0
+--R                                                    Type: Expression(Integer)
+--E 79
+
+--S 80 of 518
+t0015:= x^(3/2)/(-a+b*x)^3
+--R 
+--R
+--R                       +-+
+--R                     x\|x
+--R   (61)  ----------------------------
+--R          3 3       2 2     2       3
+--R         b x  - 3a b x  + 3a b x - a
+--R                                                    Type: Expression(Integer)
+--E 80
+
+--S 81 of 518
+r0015:= -1/2*x^(3/2)/b/(a-b*x)^2+_
+         3/4*x^(1/2)/b^2/(a-b*x)-_
+         3/4*atanh(b^(1/2)*x^(1/2)/a^(1/2))/a^(1/2)/b^(5/2)
+--R 
+--R
+--R                                        +-+ +-+
+--R              2 2              2       \|b \|x                   +-+ +-+ +-+
+--R         (- 3b x  + 6a b x - 3a )atanh(--------) + (- 5b x + 3a)\|a \|b \|x
+--R                                          +-+
+--R                                         \|a
+--R   (62)  -------------------------------------------------------------------
+--R                              4 2       3      2 2  +-+ +-+
+--R                           (4b x  - 8a b x + 4a b )\|a \|b
+--R                                                    Type: Expression(Integer)
+--E 81
+
+--S 82 of 518
+a0015:= integrate(t0015,x)
+--R 
+--R
+--R   (63)
+--R   [
+--R                                          +-+             +---+
+--R            2 2              2     - 2a b\|x  + (b x + a)\|a b
+--R         (3b x  - 6a b x + 3a )log(----------------------------)
+--R                                              b x - a
+--R       + 
+--R                        +---+ +-+
+--R         (- 10b x + 6a)\|a b \|x
+--R    /
+--R          4 2        3      2 2  +---+
+--R       (8b x  - 16a b x + 8a b )\|a b
+--R     ,
+--R                                  +-----+ +-+
+--R         2 2              2      \|- a b \|x                   +-----+ +-+
+--R    (- 3b x  + 6a b x - 3a )atan(------------) + (- 5b x + 3a)\|- a b \|x
+--R                                       a
+--R    ----------------------------------------------------------------------]
+--R                          4 2       3      2 2  +-----+
+--R                       (4b x  - 8a b x + 4a b )\|- a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 82
+
+--S 83 of 518
+m0015a:= a0015.1-r0015
+--R 
+--R
+--R                             +-+             +---+                  +-+ +-+
+--R           +-+ +-+    - 2a b\|x  + (b x + a)\|a b       +---+      \|b \|x
+--R         3\|a \|b log(----------------------------) + 6\|a b atanh(--------)
+--R                                 b x - a                              +-+
+--R                                                                     \|a
+--R   (64)  -------------------------------------------------------------------
+--R                                    2 +-+ +-+ +---+
+--R                                  8b \|a \|b \|a b
+--R                                                    Type: Expression(Integer)
+--E 83
+
+--S 84 of 518
+d0015a:= D(m0015a,x)
+--R 
+--R
+--R   (65)  0
+--R                                                    Type: Expression(Integer)
+--E 84
+
+--S 85 of 518
+m0015b:= a0015.2-r0015
+--R 
+--R
+--R                         +-+ +-+                   +-----+ +-+
+--R           +-----+      \|b \|x       +-+ +-+     \|- a b \|x
+--R         3\|- a b atanh(--------) - 3\|a \|b atan(------------)
+--R                           +-+                          a
+--R                          \|a
+--R   (66)  ------------------------------------------------------
+--R                             2 +-----+ +-+ +-+
+--R                           4b \|- a b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 85
+
+--S 86 of 518
+d0015b:= D(m0015b,x)
+--R 
+--R
+--R   (67)  0
+--R                                                    Type: Expression(Integer)
+--E 86
+
+--S 87 of 518
+t0016:= x^(5/2)/(-a+b*x)^2
+--R 
+--R
+--R                2 +-+
+--R               x \|x
+--R   (68)  ------------------
+--R          2 2             2
+--R         b x  - 2a b x + a
+--R                                                    Type: Expression(Integer)
+--E 87
+
+--S 88 of 518
+r0016:= 5*a*x^(1/2)/b^3+5/3*x^(3/2)/b^2+x^(5/2)/b/(a-b*x)-_
+        5*a^(3/2)*atanh(b^(1/2)*x^(1/2)/a^(1/2))/b^(7/2)
+--R 
+--R
+--R   (69)
+--R                                +-+ +-+
+--R                   2  +-+      \|b \|x        2 2                2  +-+ +-+
+--R   (- 15a b x + 15a )\|a atanh(--------) + (2b x  + 10a b x - 15a )\|b \|x
+--R                                  +-+
+--R                                 \|a
+--R   ------------------------------------------------------------------------
+--R                                 4        3  +-+
+--R                              (3b x - 3a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 88
+
+--S 89 of 518
+a0016:= integrate(t0016,x)
+--R 
+--R
+--R   (70)
+--R   [
+--R                                      +-+
+--R                                      |a  +-+
+--R                          +-+    - 2b |- \|x  + b x + a
+--R                       2  |a         \|b
+--R         (15a b x - 15a ) |- log(----------------------)
+--R                         \|b             b x - a
+--R       + 
+--R            2 2                2  +-+
+--R         (4b x  + 20a b x - 30a )\|x
+--R    /
+--R         4        3
+--R       6b x - 6a b
+--R     ,
+--R                       +---+       +-+
+--R                    2  |  a       \|x         2 2                2  +-+
+--R    (- 15a b x + 15a ) |- - atan(------) + (2b x  + 10a b x - 15a )\|x
+--R                      \|  b       +---+
+--R                                  |  a
+--R                                  |- -
+--R                                 \|  b
+--R    -------------------------------------------------------------------]
+--R                                  4        3
+--R                                3b x - 3a b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 89
+
+--S 90 of 518
+m0016a:= a0016.1-r0016
+--R 
+--R
+--R                            +-+
+--R                            |a  +-+
+--R            +-+        - 2b |- \|x  + b x + a                  +-+ +-+
+--R            |a  +-+        \|b                       +-+      \|b \|x
+--R         5a |- \|b log(----------------------) + 10a\|a atanh(--------)
+--R           \|b                 b x - a                           +-+
+--R                                                                \|a
+--R   (71)  --------------------------------------------------------------
+--R                                       3 +-+
+--R                                     2b \|b
+--R                                                    Type: Expression(Integer)
+--E 90
+
+--S 91 of 518
+d0016a:= D(m0016a,x)
+--R 
+--R
+--R   (72)  0
+--R                                                    Type: Expression(Integer)
+--E 91
+
+--S 92 of 518
+m0016b:= a0016.2-r0016
+--R 
+--R
+--R                      +-+ +-+       +---+           +-+
+--R            +-+      \|b \|x        |  a  +-+      \|x
+--R         5a\|a atanh(--------) - 5a |- - \|b atan(------)
+--R                        +-+        \|  b           +---+
+--R                       \|a                         |  a
+--R                                                   |- -
+--R                                                  \|  b
+--R   (73)  ------------------------------------------------
+--R                               3 +-+
+--R                              b \|b
+--R                                                    Type: Expression(Integer)
+--E 92
+
+--S 93 of 518
+d0016b:= D(m0016b,x)
+--R 
+--R
+--R   (74)  0
+--R                                                    Type: Expression(Integer)
+--E 93
+
+--S 94 of 518
+t0017:= x^(5/2)/(-a+b*x)^3
+--R 
+--R
+--R                     2 +-+
+--R                    x \|x
+--R   (75)  ----------------------------
+--R          3 3       2 2     2       3
+--R         b x  - 3a b x  + 3a b x - a
+--R                                                    Type: Expression(Integer)
+--E 94
+
+--S 95 of 518
+r0017:= 15/4*x^(1/2)/b^3-1/2*x^(5/2)/b/(a-b*x)^2+_
+        5/4*x^(3/2)/b^2/(a-b*x)-_
+        15/4*a^(1/2)*atanh(b^(1/2)*x^(1/2)/a^(1/2))/b^(7/2)
+--R 
+--R
+--R   (76)
+--R                                             +-+ +-+
+--R             2 2                2  +-+      \|b \|x
+--R       (- 15b x  + 30a b x - 15a )\|a atanh(--------)
+--R                                               +-+
+--R                                              \|a
+--R     + 
+--R          2 2                2  +-+ +-+
+--R       (8b x  - 25a b x + 15a )\|b \|x
+--R  /
+--R        5 2       4      2 3  +-+
+--R     (4b x  - 8a b x + 4a b )\|b
+--R                                                    Type: Expression(Integer)
+--E 95
+
+--S 96 of 518
+a0017:= integrate(t0017,x)
+--R 
+--R
+--R   (77)
+--R   [
+--R                                               +-+
+--R                                               |a  +-+
+--R                                   +-+    - 2b |- \|x  + b x + a
+--R             2 2                2  |a         \|b
+--R         (15b x  - 30a b x + 15a ) |- log(----------------------)
+--R                                  \|b             b x - a
+--R       + 
+--R             2 2                2  +-+
+--R         (16b x  - 50a b x + 30a )\|x
+--R    /
+--R         5 2        4      2 3
+--R       8b x  - 16a b x + 8a b
+--R     ,
+--R                                +---+       +-+
+--R          2 2                2  |  a       \|x         2 2                2  +-+
+--R    (- 15b x  + 30a b x - 15a ) |- - atan(------) + (8b x  - 25a b x + 15a )\|x
+--R                               \|  b       +---+
+--R                                           |  a
+--R                                           |- -
+--R                                          \|  b
+--R    ----------------------------------------------------------------------------
+--R                                 5 2       4      2 3
+--R                               4b x  - 8a b x + 4a b
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 96
+
+--S 97 of 518
+m0017a:= a0017.1-r0017
+--R 
+--R
+--R                             +-+
+--R                             |a  +-+
+--R             +-+        - 2b |- \|x  + b x + a                +-+ +-+
+--R             |a  +-+        \|b                     +-+      \|b \|x
+--R         15  |- \|b log(---------------------- + 30\|a atanh(--------)
+--R            \|b                 b x - a                         +-+
+--R                                                               \|a
+--R   (78)  -------------------------------------------------------------
+--R                                      3 +-+
+--R                                    8b \|b
+--R                                                    Type: Expression(Integer)
+--E 97
+
+--S 98 of 518
+d0017a:= D(m0017a,x)
+--R 
+--R
+--R   (79)  0
+--R                                                    Type: Expression(Integer)
+--E 98
+
+--S 99 of 518
+m0017b:= a0017.2-r0017
+--R 
+--R
+--R                      +-+ +-+        +---+           +-+
+--R            +-+      \|b \|x         |  a  +-+      \|x
+--R         15\|a atanh(--------) - 15  |- - \|b atan(------)
+--R                        +-+         \|  b           +---+
+--R                       \|a                          |  a
+--R                                                    |- -
+--R                                                   \|  b
+--R   (80)  ------------------------------------------------
+--R                                3 +-+
+--R                              4b \|b
+--R                                                    Type: Expression(Integer)
+--E 99
+
+--S 100 of 518
+d0017b:= D(m0017b,x)
+--R 
+--R
+--R   (81)  0
+--R                                                    Type: Expression(Integer)
+--E 100
+
+--S 101 of 518
+t0018:= 1/x^(3/2)/(-a+b*x)^2
+--R 
+--R
+--R                      1
+--R   (82)  --------------------------
+--R           2 3         2    2   +-+
+--R         (b x  - 2a b x  + a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 101
+
+--S 102 of 518
+r0018:= -2/a/x^(1/2)/(a-b*x)+3*b*x^(1/2)/a^2/(a-b*x)+_
+         3*b^(1/2)*atanh(b^(1/2)*x^(1/2)/a^(1/2))/a^(5/2)
+--R 
+--R
+--R                                   +-+ +-+
+--R                     +-+ +-+      \|b \|x                   +-+
+--R         (3b x - 3a)\|b \|x atanh(--------) + (- 3b x + 2a)\|a
+--R                                     +-+
+--R                                    \|a
+--R   (83)  ------------------------------------------------------
+--R                            2       3  +-+ +-+
+--R                          (a b x - a )\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 102
+
+--S 103 of 518
+a0018:= integrate(t0018,x)
+--R 
+--R
+--R   (84)
+--R                              +-+
+--R                              |b  +-+
+--R                +-+        2a |- \|x  + b x + a
+--R                |b  +-+      \|a
+--R    (3b x - 3a) |- \|x log(--------------------) - 6b x + 4a
+--R               \|a                b x - a
+--R   [--------------------------------------------------------,
+--R                          2        3  +-+
+--R                       (2a b x - 2a )\|x
+--R                +---+            +-+
+--R                |  b  +-+      b\|x
+--R    (3b x - 3a) |- - \|x atan(-------) - 3b x + 2a
+--R               \|  a            +---+
+--R                                |  b
+--R                              a |- -
+--R                               \|  a
+--R    ----------------------------------------------]
+--R                     2       3  +-+
+--R                   (a b x - a )\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 103
+
+--S 104 of 518
+m0018a:= a0018.1-r0018
+--R 
+--R
+--R                         +-+
+--R                         |b  +-+
+--R               +-+    2a |- \|x  + b x + a                +-+ +-+
+--R           +-+ |b       \|a                     +-+      \|b \|x
+--R         3\|a  |- log(--------------------) - 6\|b atanh(--------)
+--R              \|a            b x - a                        +-+
+--R                                                           \|a
+--R   (85)  ---------------------------------------------------------
+--R                                    2 +-+
+--R                                  2a \|a
+--R                                                    Type: Expression(Integer)
+--E 104
+
+--S 105 of 518
+d0018a:= D(m0018a,x)
+--R 
+--R
+--R   (86)  0
+--R                                                    Type: Expression(Integer)
+--E 105
+
+--S 106 of 518
+m0018b:= a0018.2-r0018
+--R 
+--R
+--R                       +-+ +-+       +---+            +-+
+--R             +-+      \|b \|x        |  b  +-+      b\|x
+--R         - 3\|b atanh(--------) + 3  |- - \|a atan(-------)
+--R                         +-+        \|  a            +---+
+--R                        \|a                          |  b
+--R                                                   a |- -
+--R                                                    \|  a
+--R   (87)  -------------------------------------------------
+--R                                2 +-+
+--R                               a \|a
+--R                                                    Type: Expression(Integer)
+--E 106
+
+--S 107 of 518
+d0018b:= D(m0018b,x)
+--R 
+--R
+--R   (88)  0
+--R                                                    Type: Expression(Integer)
+--E 107
+
+--S 108 of 518
+t0019:= 1/x^(3/2)/(-a+b*x)^3
+--R 
+--R
+--R                           1
+--R   (89)  ------------------------------------
+--R           3 4       2 3     2   2    3   +-+
+--R         (b x  - 3a b x  + 3a b x  - a x)\|x
+--R                                                    Type: Expression(Integer)
+--E 108
+
+--S 109 of 518
+r0019:= 2/a/x^(1/2)/(a-b*x)^2-5/2*b*x^(1/2)/a^2/(a-b*x)^2-_
+        15/4*b*x^(1/2)/a^3/(a-b*x)-_
+        15/4*b^(1/2)*atanh(b^(1/2)*x^(1/2)/a^(1/2))/a^(7/2)
+--R 
+--R
+--R   (90)
+--R                                                 +-+ +-+
+--R             2 2                2  +-+ +-+      \|b \|x
+--R       (- 15b x  + 30a b x - 15a )\|b \|x atanh(--------)
+--R                                                   +-+
+--R                                                  \|a
+--R     + 
+--R           2 2               2  +-+
+--R       (15b x  - 25a b x + 8a )\|a
+--R  /
+--R        3 2 2     4        5  +-+ +-+
+--R     (4a b x  - 8a b x + 4a )\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 109
+
+--S 110 of 518
+a0019:= integrate(t0019,x)
+--R 
+--R
+--R   (91)
+--R   [
+--R                                                   +-+
+--R                                                   |b  +-+
+--R                                   +-+        - 2a |- \|x  + b x + a
+--R             2 2                2  |b  +-+        \|a                      2 2
+--R         (15b x  - 30a b x + 15a ) |- \|x log(----------------------) + 30b x
+--R                                  \|a                 b x - a
+--R       + 
+--R                        2
+--R         - 50a b x + 16a
+--R    /
+--R          3 2 2      4        5  +-+
+--R       (8a b x  - 16a b x + 8a )\|x
+--R     ,
+--R                                +---+            +-+
+--R          2 2                2  |  b  +-+      b\|x         2 2               2
+--R    (- 15b x  + 30a b x - 15a ) |- - \|x atan(-------) + 15b x  - 25a b x + 8a
+--R                               \|  a            +---+
+--R                                                |  b
+--R                                              a |- -
+--R                                               \|  a
+--R    ---------------------------------------------------------------------------]
+--R                               3 2 2     4        5  +-+
+--R                            (4a b x  - 8a b x + 4a )\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 110
+
+--S 111 of 518
+m0019a:= a0019.1-r0019
+--R 
+--R
+--R                            +-+
+--R                            |b  +-+
+--R                +-+    - 2a |- \|x  + b x + a                 +-+ +-+
+--R            +-+ |b         \|a                      +-+      \|b \|x
+--R         15\|a  |- log(----------------------) + 30\|b atanh(--------)
+--R               \|a             b x - a                          +-+
+--R                                                               \|a
+--R   (92)  -------------------------------------------------------------
+--R                                      3 +-+
+--R                                    8a \|a
+--R                                                    Type: Expression(Integer)
+--E 111
+
+--S 112 of 518
+d0019a:= D(m0019a,x)
+--R 
+--R
+--R   (93)  0
+--R                                                    Type: Expression(Integer)
+--E 112
+
+--S 113 of 518
+m0019b:= a0019.2-r0019
+--R 
+--R
+--R                      +-+ +-+        +---+            +-+
+--R            +-+      \|b \|x         |  b  +-+      b\|x
+--R         15\|b atanh(--------) - 15  |- - \|a atan(-------)
+--R                        +-+         \|  a            +---+
+--R                       \|a                           |  b
+--R                                                   a |- -
+--R                                                    \|  a
+--R   (94)  -------------------------------------------------
+--R                                3 +-+
+--R                              4a \|a
+--R                                                    Type: Expression(Integer)
+--E 113
+
+--S 114 of 518
+d0019b:= D(m0019b,x)
+--R 
+--R
+--R   (95)  0
+--R                                                    Type: Expression(Integer)
+--E 114
+
+--S 115 of 518
+t0020:= 1/x^(5/2)/(-a+b*x)^2
+--R 
+--R
+--R                      1
+--R   (96)  ---------------------------
+--R           2 4         3    2 2  +-+
+--R         (b x  - 2a b x  + a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 115
+
+--S 116 of 518
+r0020:= -5/3/a^2/x^(3/2)-5*b/a^3/x^(1/2)+1/a/x^(3/2)/(a-b*x)+_
+        5*b^(3/2)*atanh(b^(1/2)*x^(1/2)/a^(1/2))/a^(7/2)
+--R 
+--R
+--R   (97)
+--R                                    +-+ +-+
+--R       2 2            +-+ +-+      \|b \|x           2 2               2  +-+
+--R   (15b x  - 15a b x)\|b \|x atanh(--------) + (- 15b x  + 10a b x + 2a )\|a
+--R                                      +-+
+--R                                     \|a
+--R   --------------------------------------------------------------------------
+--R                               3   2     4   +-+ +-+
+--R                            (3a b x  - 3a x)\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 116
+
+--S 117 of 518
+a0020:= integrate(t0020,x)
+--R 
+--R
+--R   (98)
+--R                                     +-+
+--R                                     |b  +-+
+--R                       +-+        2a |- \|x  + b x + a
+--R        2 2            |b  +-+      \|a                      2 2               2
+--R    (15b x  - 15a b x) |- \|x log(--------------------) - 30b x  + 20a b x + 4a
+--R                      \|a                b x - a
+--R   [----------------------------------------------------------------------------
+--R                                   3   2     4   +-+
+--R                                (6a b x  - 6a x)\|x
+--R     ,
+--R                       +---+            +-+
+--R        2 2            |  b  +-+      b\|x         2 2               2
+--R    (15b x  - 15a b x) |- - \|x atan(-------) - 15b x  + 10a b x + 2a
+--R                      \|  a            +---+
+--R                                       |  b
+--R                                     a |- -
+--R                                      \|  a
+--R    ------------------------------------------------------------------]
+--R                              3   2     4   +-+
+--R                           (3a b x  - 3a x)\|x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 117
+
+--S 118 of 518
+m0020a:= a0020.1-r0020
+--R 
+--R
+--R                          +-+
+--R                          |b  +-+
+--R                +-+    2a |- \|x  + b x + a                  +-+ +-+
+--R            +-+ |b       \|a                       +-+      \|b \|x
+--R         5b\|a  |- log(--------------------) - 10b\|b atanh(--------)
+--R               \|a            b x - a                          +-+
+--R                                                              \|a
+--R   (99)  ------------------------------------------------------------
+--R                                      3 +-+
+--R                                    2a \|a
+--R                                                    Type: Expression(Integer)
+--E 118
+
+--S 119 of 518
+d0020a:= D(m0020a,x)
+--R 
+--R
+--R   (100)  0
+--R                                                    Type: Expression(Integer)
+--E 119
+
+--S 120 of 518
+m0020b:= a0020.2-r0020
+--R 
+--R
+--R                         +-+ +-+       +---+            +-+
+--R               +-+      \|b \|x        |  b  +-+      b\|x
+--R          - 5b\|b atanh(--------) + 5b |- - \|a atan(-------)
+--R                           +-+        \|  a            +---+
+--R                          \|a                          |  b
+--R                                                     a |- -
+--R                                                      \|  a
+--R   (101)  ---------------------------------------------------
+--R                                  3 +-+
+--R                                 a \|a
+--R                                                    Type: Expression(Integer)
+--E 120
+
+--S 121 of 518
+d0020b:= D(m0020b,x)
+--R 
+--R
+--R   (102)  0
+--R                                                    Type: Expression(Integer)
+--E 121
+
+--S 122 of 518
+t0021:= 1/x^(5/2)/(-a+b*x)^3
+--R 
+--R
+--R                            1
+--R   (103)  -------------------------------------
+--R            3 5       2 4     2   3    3 2  +-+
+--R          (b x  - 3a b x  + 3a b x  - a x )\|x
+--R                                                    Type: Expression(Integer)
+--E 122
+
+--S 123 of 518
+r0021:= 2/3/a/x^(3/2)/(a-b*x)^2+14/3*b/a^2/x^(1/2)/(a-b*x)^2-_
+        35/6*b^2*x^(1/2)/a^3/(a-b*x)^2-35/4*b^2*x^(1/2)/a^4/(a-b*x)-_
+        35/4*b^(3/2)*atanh(b^(1/2)*x^(1/2)/a^(1/2))/a^(9/2)
+--R 
+--R
+--R   (104)
+--R                                                        +-+ +-+
+--R              3 3         2 2       2     +-+ +-+      \|b \|x
+--R       (- 105b x  + 210a b x  - 105a b x)\|b \|x atanh(--------)
+--R                                                          +-+
+--R                                                         \|a
+--R     + 
+--R            3 3         2 2      2        3  +-+
+--R       (105b x  - 175a b x  + 56a b x + 8a )\|a
+--R  /
+--R         4 2 3      5   2      6   +-+ +-+
+--R     (12a b x  - 24a b x  + 12a x)\|a \|x
+--R                                                    Type: Expression(Integer)
+--E 123
+
+--S 124 of 518
+a0021:= integrate(t0021,x)
+--R 
+--R
+--R   (105)
+--R   [
+--R                                                          +-+
+--R                                                          |b  +-+
+--R                                          +-+        - 2a |- \|x  + b x + a
+--R              3 3         2 2       2     |b  +-+        \|a
+--R         (105b x  - 210a b x  + 105a b x) |- \|x log(----------------------)
+--R                                         \|a                 b x - a
+--R       + 
+--R             3 3         2 2       2         3
+--R         210b x  - 350a b x  + 112a b x + 16a
+--R    /
+--R           4 2 3      5   2      6   +-+
+--R       (24a b x  - 48a b x  + 24a x)\|x
+--R     ,
+--R
+--R                                            +---+            +-+
+--R                3 3         2 2       2     |  b  +-+      b\|x          3 3
+--R         (- 105b x  + 210a b x  - 105a b x) |- - \|x atan(-------) + 105b x
+--R                                           \|  a            +---+
+--R                                                            |  b
+--R                                                          a |- -
+--R                                                           \|  a
+--R       + 
+--R                 2 2      2        3
+--R         - 175a b x  + 56a b x + 8a
+--R    /
+--R           4 2 3      5   2      6   +-+
+--R       (12a b x  - 24a b x  + 12a x)\|x
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 124
+
+--S 125 of 518
+m0021a:= a0021.1-r0021
+--R 
+--R
+--R                              +-+
+--R                              |b  +-+
+--R                  +-+    - 2a |- \|x  + b x + a                  +-+ +-+
+--R              +-+ |b         \|a                       +-+      \|b \|x
+--R          35b\|a  |- log(----------------------) + 70b\|b atanh(--------)
+--R                 \|a             b x - a                           +-+
+--R                                                                  \|a
+--R   (106)  ---------------------------------------------------------------
+--R                                        4 +-+
+--R                                      8a \|a
+--R                                                    Type: Expression(Integer)
+--E 125
+
+--S 126 of 518
+d0021a:= D(m0021a,x)
+--R 
+--R
+--R   (107)  0
+--R                                                    Type: Expression(Integer)
+--E 126
+
+--S 127 of 518
+m0021b:= a0021.2-r0021
+--R 
+--R
+--R                        +-+ +-+        +---+            +-+
+--R              +-+      \|b \|x         |  b  +-+      b\|x
+--R          35b\|b atanh(--------) - 35b |- - \|a atan(-------)
+--R                          +-+         \|  a            +---+
+--R                         \|a                           |  b
+--R                                                     a |- -
+--R                                                      \|  a
+--R   (108)  ---------------------------------------------------
+--R                                  4 +-+
+--R                                4a \|a
+--R                                                    Type: Expression(Integer)
+--E 127
+
+--S 128 of 518
+d0021b:= D(m0021b,x)
+--R 
+--R
+--R   (109)  0
+--R                                                    Type: Expression(Integer)
+--E 128
+
+--S 129 of 518
+t0022:= x^(1/2)*(2+b*x)^(1/2)
+--R 
+--R
+--R           +-+ +-------+
+--R   (110)  \|x \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 129
+
+--S 130 of 518
+r0022:= 1/2*x^(1/2)*(2+b*x)^(1/2)/b+1/2*x^(3/2)*(2+b*x)^(1/2)-_
+        asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(3/2)
+--R 
+--R
+--R                    +-+ +-+ +-+
+--R                   \|2 \|b \|x               +-+ +-+ +-------+
+--R          - 2asinh(------------) + (b x + 1)\|b \|x \|b x + 2
+--R                         2
+--R   (111)  ----------------------------------------------------
+--R                                    +-+
+--R                                 2b\|b
+--R                                                    Type: Expression(Integer)
+--E 130
+
+--S 131 of 518
+--a0022:= integrate(t0022,x)
+--E 131
+
+--S 132 of 518
+--m0022:= a0022-r0022
+--E 132
+
+--S 133 of 518
+--d0022:= D(m0022,x)
+--E 133
+
+--S 134 of 518
+t0023:= x^(1/2)/(2+b*x)^(1/2)
+--R 
+--R
+--R              +-+
+--R             \|x
+--R   (112)  ----------
+--R           +-------+
+--R          \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 134
+
+--S 135 of 518
+r0023:= x^(1/2)*(2+b*x)^(1/2)/b-2*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(3/2)
+--R 
+--R
+--R                    +-+ +-+ +-+
+--R                   \|2 \|b \|x      +-+ +-+ +-------+
+--R          - 2asinh(------------) + \|b \|x \|b x + 2
+--R                         2
+--R   (113)  -------------------------------------------
+--R                               +-+
+--R                             b\|b
+--R                                                    Type: Expression(Integer)
+--E 135
+
+--S 136 of 518
+--a0023:= integrate(t0023,x)
+--E 136
+
+--S 137 of 518
+--m0023:= a0023-r0023
+--E 137
+
+--S 138 of 518
+--d0023:= D(m0023,x)
+--E 138
+
+--S 139 of 518
+t0024:= x^(3/2)/(2+b*x)^(1/2)
+--R 
+--R
+--R               +-+
+--R             x\|x
+--R   (114)  ----------
+--R           +-------+
+--R          \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 139
+
+--S 140 of 518
+r0024:= -3/2*x^(1/2)*(2+b*x)^(1/2)/b^2+1/2*x^(3/2)*(2+b*x)^(1/2)/b+_
+         3*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(5/2)
+--R 
+--R
+--R                  +-+ +-+ +-+
+--R                 \|2 \|b \|x               +-+ +-+ +-------+
+--R          6asinh(------------) + (b x - 3)\|b \|x \|b x + 2
+--R                       2
+--R   (115)  --------------------------------------------------
+--R                                  2 +-+
+--R                                2b \|b
+--R                                                    Type: Expression(Integer)
+--E 140
+
+--S 141 of 518
+--a0024:= integrate(t0024,x)
+--E 141
+
+--S 142 of 518
+--m0024:= a0024-r0024
+--E 142
+
+--S 143 of 518
+--d0024:= D(m0024,x)
+--E 143
+
+--S 144 of 518
+t0025:= x^(3/2)/(2+b*x)^(3/2)
+--R 
+--R
+--R                   +-+
+--R                 x\|x
+--R   (116)  -------------------
+--R                    +-------+
+--R          (b x + 2)\|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 144
+
+--S 145 of 518
+r0025:= -2*x^(3/2)/b/(2+b*x)^(1/2)+3*x^(1/2)*(2+b*x)^(1/2)/b^2-_
+        6*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(5/2)
+--R 
+--R
+--R                              +-+ +-+ +-+
+--R              +-------+      \|2 \|b \|x               +-+ +-+
+--R          - 6\|b x + 2 asinh(------------) + (b x + 6)\|b \|x
+--R                                   2
+--R   (117)  ----------------------------------------------------
+--R                             2 +-+ +-------+
+--R                            b \|b \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 145
+
+--S 146 of 518
+--a0025:= integrate(t0025,x)
+--E 146
+
+--S 147 of 518
+--m0025:= a0025-r0025
+--E 147
+
+--S 148 of 518
+--d0025:= D(m0025,x)
+--E 148
+
+--S 149 of 518
+t0026:= x^(5/2)/(2+b*x)^(3/2)
+--R 
+--R
+--R                  2 +-+
+--R                 x \|x
+--R   (118)  -------------------
+--R                    +-------+
+--R          (b x + 2)\|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 149
+
+--S 150 of 518
+r0026:= 1/2/b^(7/2)*(x^(5/2)*b^(5/2)-30*x^(1/2)*b^(1/2)-5*x^(3/2)*b^(3/2)+_
+        30*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))*(2+b*x)^(1/2))/(2+b*x)^(1/2)
+--R 
+--R
+--R                             +-+ +-+ +-+
+--R             +-------+      \|2 \|b \|x       2 2              +-+ +-+
+--R          30\|b x + 2 asinh(------------) + (b x  - 5b x - 30)\|b \|x
+--R                                  2
+--R   (119)  ------------------------------------------------------------
+--R                                  3 +-+ +-------+
+--R                                2b \|b \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 150
+
+--S 151 of 518
+--a0026:= integrate(t0026,x)
+--E 151
+
+--S 152 of 518
+--m0026:= a0026-r0026
+--E 152
+
+--S 153 of 518
+--d0026:= D(m0026,x)
+--E 153
+
+--S 154 of 518
+t0027:= x^(5/2)/(2+b*x)^(5/2)
+--R 
+--R
+--R                      2 +-+
+--R                     x \|x
+--R   (120)  ---------------------------
+--R            2 2             +-------+
+--R          (b x  + 4b x + 4)\|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 154
+
+--S 155 of 518
+r0027:= -2/3*x^(5/2)/b/(2+b*x)^(3/2)-10/3*x^(3/2)/b^2/(2+b*x)^(1/2)+_
+         5*x^(1/2)*(2+b*x)^(1/2)/b^3-_
+         10*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(7/2)
+--R 
+--R
+--R   (121)
+--R                                  +-+ +-+ +-+
+--R                  +-------+      \|2 \|b \|x        2 2               +-+ +-+
+--R   (- 30b x - 60)\|b x + 2 asinh(------------) + (3b x  + 40b x + 60)\|b \|x
+--R                                       2
+--R   --------------------------------------------------------------------------
+--R                              4      3  +-+ +-------+
+--R                           (3b x + 6b )\|b \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 155
+
+--S 156 of 518
+--a0027:= integrate(t0027,x)
+--E 156
+
+--S 157 of 518
+--m0027:= a0027-r0027
+--E 157
+
+--S 158 of 518
+--d0027:= D(m0027,x)
+--E 158
+
+--S 159 of 518
+t0028:= (2+b*x)^(1/2)/x^(1/2)
+--R 
+--R
+--R           +-------+
+--R          \|b x + 2
+--R   (122)  ----------
+--R              +-+
+--R             \|x
+--R                                                    Type: Expression(Integer)
+--E 159
+
+--S 160 of 518
+r0028:= x^(1/2)*(2+b*x)^(1/2)+2*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(1/2)
+--R 
+--R
+--R                  +-+ +-+ +-+
+--R                 \|2 \|b \|x      +-+ +-+ +-------+
+--R          2asinh(------------) + \|b \|x \|b x + 2
+--R                       2
+--R   (123)  -----------------------------------------
+--R                              +-+
+--R                             \|b
+--R                                                    Type: Expression(Integer)
+--E 160
+
+--S 161 of 518
+--a0028:= integrate(t0028,x)
+--E 161
+
+--S 162 of 518
+--m0028:= a0028-r0028
+--E 162
+
+--S 163 of 518
+--d0028:= D(m0028,x)
+--E 163
+
+--S 164 of 518
+t0029:= (2+b*x)^(3/2)/x^(1/2)
+--R 
+--R
+--R                    +-------+
+--R          (b x + 2)\|b x + 2
+--R   (124)  -------------------
+--R                   +-+
+--R                  \|x
+--R                                                    Type: Expression(Integer)
+--E 164
+
+--S 165 of 518
+r0029:= 3/2*x^(1/2)*(2+b*x)^(1/2)+1/2*x^(1/2)*(2+b*x)^(3/2)+_
+        3*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(1/2)
+--R 
+--R
+--R                  +-+ +-+ +-+
+--R                 \|2 \|b \|x               +-+ +-+ +-------+
+--R          6asinh(------------) + (b x + 5)\|b \|x \|b x + 2
+--R                       2
+--R   (125)  --------------------------------------------------
+--R                                   +-+
+--R                                 2\|b
+--R                                                    Type: Expression(Integer)
+--E 165
+
+--S 166 of 518
+--a0029:= integrate(t0029,x)
+--E 166
+
+--S 167 of 518
+--m0029:= a0029-r0029
+--E 167
+
+--S 168 of 518
+--d0029:= D(m0029,x)
+--E 168
+
+--S 169 of 518
+t0030:= 1/x^(1/2)/(2+b*x)^(1/2)
+--R 
+--R
+--R                 1
+--R   (126)  --------------
+--R           +-+ +-------+
+--R          \|x \|b x + 2
+--R                                                    Type: Expression(Integer)
+--E 169
+
+--S 170 of 518
+r0030:= 2*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(1/2)
+--R 
+--R
+--R                  +-+ +-+ +-+
+--R                 \|2 \|b \|x
+--R          2asinh(------------)
+--R                       2
+--R   (127)  --------------------
+--R                   +-+
+--R                  \|b
+--R                                                    Type: Expression(Integer)
+--E 170
+
+--S 171 of 518
+--a0030:= integrate(t0030,x)
+--E 171
+
+--S 172 of 518
+--m0030:= a0030-r0030
+--E 172
+
+--S 173 of 518
+--d0030:= D(m0030,x)
+--E 173
+
+--S 174 of 518
+t0031:= (2+b*x)^(1/2)/x^(3/2)
+--R 
+--R
+--R           +-------+
+--R          \|b x + 2
+--R   (128)  ----------
+--R               +-+
+--R             x\|x
+--R                                                    Type: Expression(Integer)
+--E 174
+
+--S 175 of 518
+r0031:= -2*(2+b*x)^(1/2)/x^(1/2)+2*b^(1/2)*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))
+--R 
+--R
+--R                          +-+ +-+ +-+
+--R            +-+ +-+      \|2 \|b \|x       +-------+
+--R          2\|b \|x asinh(------------) - 2\|b x + 2
+--R                               2
+--R   (129)  ------------------------------------------
+--R                              +-+
+--R                             \|x
+--R                                                    Type: Expression(Integer)
+--E 175
+
+--S 176 of 518
+--a0031:= integrate(t0031,x)
+--E 176
+
+--S 177 of 518
+--m0031:= a0031-r0031
+--E 177
+
+--S 178 of 518
+--d0031:= D(m0031,x)
+--E 178
+
+--S 179 of 518
+t0032:= (2+b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R                    +-------+
+--R          (b x + 2)\|b x + 2
+--R   (130)  -------------------
+--R                   +-+
+--R                 x\|x
+--R                                                    Type: Expression(Integer)
+--E 179
+
+--S 180 of 518
+r0032:= 3*b*x^(1/2)*(2+b*x)^(1/2)-2*(2+b*x)^(3/2)/x^(1/2)+_
+        6*b^(1/2)*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))
+--R 
+--R
+--R                          +-+ +-+ +-+
+--R            +-+ +-+      \|2 \|b \|x               +-------+
+--R          6\|b \|x asinh(------------) + (b x - 4)\|b x + 2
+--R                               2
+--R   (131)  --------------------------------------------------
+--R                                  +-+
+--R                                 \|x
+--R                                                    Type: Expression(Integer)
+--E 180
+
+--S 181 of 518
+--a0032:= integrate(t0032,x)
+--E 181
+
+--S 182 of 518
+--m0032:= a0032-r0032
+--E 182
+
+--S 183 of 518
+--d0032:= D(m0032,x)
+--E 183
+
+--S 184 of 518
+t0033:= (2+b*x)^(5/2)/x^(3/2)
+--R 
+--R
+--R            2 2             +-------+
+--R          (b x  + 4b x + 4)\|b x + 2
+--R   (132)  ---------------------------
+--R                       +-+
+--R                     x\|x
+--R                                                    Type: Expression(Integer)
+--E 184
+
+--S 185 of 518
+r0033:= 15/2*b*x^(1/2)*(2+b*x)^(1/2)+5/2*b*x^(1/2)*(2+b*x)^(3/2)-_
+        2*(2+b*x)^(5/2)/x^(1/2)+15*b^(1/2)*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))
+--R 
+--R
+--R                           +-+ +-+ +-+
+--R             +-+ +-+      \|2 \|b \|x       2 2              +-------+
+--R          30\|b \|x asinh(------------) + (b x  + 9b x - 16)\|b x + 2
+--R                                2
+--R   (133)  ------------------------------------------------------------
+--R                                        +-+
+--R                                      2\|x
+--R                                                    Type: Expression(Integer)
+--E 185
+
+--S 186 of 518
+--a0033:= integrate(t0033,x)
+--E 186
+
+--S 187 of 518
+--m0033:= a0033-r0033
+--E 187
+
+--S 188 of 518
+--d0033:= D(m0033,x)
+--E 188
+
+--S 189 of 518
+t0034:= (2+b*x)^(3/2)/x^(5/2)
+--R 
+--R
+--R                    +-------+
+--R          (b x + 2)\|b x + 2
+--R   (134)  -------------------
+--R                  2 +-+
+--R                 x \|x
+--R                                                    Type: Expression(Integer)
+--E 189
+
+--S 190 of 518
+r0034:= -2*b*(2+b*x)^(1/2)/x^(1/2)-2/3*(2+b*x)^(3/2)/x^(3/2)+_
+         2*b^(3/2)*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))
+--R 
+--R
+--R                             +-+ +-+ +-+
+--R               +-+ +-+      \|2 \|b \|x                  +-------+
+--R          6b x\|b \|x asinh(------------) + (- 8b x - 4)\|b x + 2
+--R                                  2
+--R   (135)  --------------------------------------------------------
+--R                                      +-+
+--R                                   3x\|x
+--R                                                    Type: Expression(Integer)
+--E 190
+
+--S 191 of 518
+--a0034:= integrate(t0034,x)
+--E 191
+
+--S 192 of 518
+--m0034:= a0034-r0034
+--E 192
+
+--S 193 of 518
+--d0034:= D(m0034,x)
+--E 193
+
+--S 194 of 518
+t0035:= (2+b*x)^(5/2)/x^(5/2)
+--R 
+--R
+--R            2 2             +-------+
+--R          (b x  + 4b x + 4)\|b x + 2
+--R   (136)  ---------------------------
+--R                      2 +-+
+--R                     x \|x
+--R                                                    Type: Expression(Integer)
+--E 194
+
+--S 195 of 518
+r0035:= 1/3*(3*b^2*x^2*(2+b*x)^(1/2)-28*b*x*(2+b*x)^(1/2)-8*(2+b*x)^(1/2)+_
+        30*b^(3/2)*asinh(1/2*b^(1/2)*x^(1/2)*2^(1/2))*x^(3/2))/x^(3/2)
+--R 
+--R
+--R                              +-+ +-+ +-+
+--R                +-+ +-+      \|2 \|b \|x        2 2              +-------+
+--R          30b x\|b \|x asinh(------------) + (3b x  - 28b x - 8)\|b x + 2
+--R                                   2
+--R   (137)  ----------------------------------------------------------------
+--R                                          +-+
+--R                                       3x\|x
+--R                                                    Type: Expression(Integer)
+--E 195
+
+--S 196 of 518
+--a0035:= integrate(t0035,x)
+--E 196
+
+--S 197 of 518
+--m0035:= a0035-r0035
+--E 197
+
+--S 198 of 518
+--d0035:= D(m0035,x)
+--E 198
+
+--S 199 of 518
+t0036:= x^(1/2)*(a+b*x)^(1/2)
+--R 
+--R
+--R           +-+ +-------+
+--R   (138)  \|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 199
+
+--S 200 of 518
+r0036:= 1/4*a*x^(1/2)*(a+b*x)^(1/2)/b+1/2*x^(3/2)*(a+b*x)^(1/2)-_
+        1/4*a^2*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(3/2)
+--R 
+--R
+--R                      +-+ +-+
+--R             2       \|b \|x                 +-+ +-+ +-------+
+--R          - a atanh(----------) + (2b x + a)\|b \|x \|b x + a
+--R                     +-------+
+--R                    \|b x + a
+--R   (139)  ----------------------------------------------------
+--R                                    +-+
+--R                                 4b\|b
+--R                                                    Type: Expression(Integer)
+--E 200
+
+--S 201 of 518
+--a0036:= integrate(t0036,x)
+--E 201
+
+--S 202 of 518
+--m0036:= a0036-r0036
+--E 202
+
+--S 203 of 518
+--d0036:= D(m0036,x)
+--E 203
+
+--S 204 of 518
+t0037:= x^(1/2)*(a+b*x)^(3/2)
+--R 
+--R
+--R                    +-+ +-------+
+--R   (140)  (b x + a)\|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 204
+
+--S 205 of 518
+r0037:= -1/8*a^2*x^(1/2)*(a+b*x)^(1/2)/b-1/12*a*x^(1/2)*(a+b*x)^(3/2)/b+_
+        1/3*x^(1/2)*(a+b*x)^(5/2)/b-_
+        1/8*a^3*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(3/2)
+--R 
+--R
+--R                       +-+ +-+
+--R              3       \|b \|x         2 2               2  +-+ +-+ +-------+
+--R          - 3a atanh(----------) + (8b x  + 14a b x + 3a )\|b \|x \|b x + a
+--R                      +-------+
+--R                     \|b x + a
+--R   (141)  ------------------------------------------------------------------
+--R                                            +-+
+--R                                        24b\|b
+--R                                                    Type: Expression(Integer)
+--E 205
+
+--S 206 of 518
+--a0037:= integrate(t0037,x)
+--E 206
+
+--S 207 of 518
+--m0037:= a0037-r0037
+--E 207
+
+--S 208 of 518
+--d0037:= D(m0037,x)
+--E 208
+
+--S 209 of 518
+t0038:= x^(1/2)/(a+b*x)^(1/2)
+--R 
+--R
+--R              +-+
+--R             \|x
+--R   (142)  ----------
+--R           +-------+
+--R          \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 209
+
+--S 210 of 518
+r0038:= x^(1/2)*(a+b*x)^(1/2)/b-a*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(3/2)
+--R 
+--R
+--R                      +-+ +-+
+--R                     \|b \|x       +-+ +-+ +-------+
+--R          - a atanh(----------) + \|b \|x \|b x + a
+--R                     +-------+
+--R                    \|b x + a
+--R   (143)  ------------------------------------------
+--R                               +-+
+--R                             b\|b
+--R                                                    Type: Expression(Integer)
+--E 210
+
+--S 211 of 518
+--a0038:= integrate(t0038,x)
+--E 211
+
+--S 212 of 518
+--m0038:= a0038-r0038
+--E 212
+
+--S 213 of 518
+--d0038:= D(m0038,x)
+--E 213
+
+--S 214 of 518
+t0039:= x^(1/2)/(a+b*x)^(3/2)
+--R 
+--R
+--R                   +-+
+--R                  \|x
+--R   (144)  -------------------
+--R                    +-------+
+--R          (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 214
+
+--S 215 of 518
+r0039:= -2*x^(1/2)/b/(a+b*x)^(1/2)+_
+        2*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(3/2)
+--R 
+--R
+--R                             +-+ +-+
+--R            +-------+       \|b \|x        +-+ +-+
+--R          2\|b x + a atanh(----------) - 2\|b \|x
+--R                            +-------+
+--R                           \|b x + a
+--R   (145)  ----------------------------------------
+--R                         +-+ +-------+
+--R                       b\|b \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 215
+
+--S 216 of 518
+--a0039:= integrate(t0039,x)
+--E 216
+
+--S 217 of 518
+--m0039:= a0039-r0039
+--E 217
+
+--S 218 of 518
+--d0039:= D(m0039,x)
+--E 218
+
+--S 219 of 518
+t0040:= x^(3/2)*(a+b*x)^(1/2)
+--R 
+--R
+--R            +-+ +-------+
+--R   (146)  x\|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 219
+
+--S 220 of 518
+r0040:= -1/8*a^2*x^(1/2)*(a+b*x)^(1/2)/b^2+1/12*a*x^(3/2)*(a+b*x)^(1/2)/b+_
+       1/3*x^(5/2)*(a+b*x)^(1/2)+_
+       1/8*a^3*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(5/2)
+--R 
+--R
+--R                     +-+ +-+
+--R            3       \|b \|x         2 2              2  +-+ +-+ +-------+
+--R          3a atanh(----------) + (8b x  + 2a b x - 3a )\|b \|x \|b x + a
+--R                    +-------+
+--R                   \|b x + a
+--R   (147)  ---------------------------------------------------------------
+--R                                         2 +-+
+--R                                      24b \|b
+--R                                                    Type: Expression(Integer)
+--E 220
+
+--S 221 of 518
+--a0040:= integrate(t0040,x)
+--E 221
+
+--S 222 of 518
+--m0040:= a0040-r0040
+--E 222
+
+--S 223 of 518
+--d0040:= D(m0040,x)
+--E 223
+
+--S 224 of 518
+t0041:= x^(3/2)/(a+b*x)^(1/2)
+--R 
+--R
+--R               +-+
+--R             x\|x
+--R   (148)  ----------
+--R           +-------+
+--R          \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 224
+
+--S 225 of 518
+r0041:= -3/4*a*x^(1/2)*(a+b*x)^(1/2)/b^2+1/2*x^(3/2)*(a+b*x)^(1/2)/b+_
+         3/4*a^2*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(5/2)
+--R 
+--R
+--R                     +-+ +-+
+--R            2       \|b \|x                  +-+ +-+ +-------+
+--R          3a atanh(----------) + (2b x - 3a)\|b \|x \|b x + a
+--R                    +-------+
+--R                   \|b x + a
+--R   (149)  ----------------------------------------------------
+--R                                   2 +-+
+--R                                 4b \|b
+--R                                                    Type: Expression(Integer)
+--E 225
+
+--S 226 of 518
+--a0041:= integrate(t0041,x)
+--E 226
+
+--S 227 of 518
+--m0041:= a0041-r0041
+--E 227
+
+--S 228 of 518
+--d0041:= D(m0041,x)
+--E 228
+
+--S 229 of 518
+t0042:= x^(3/2)/(a+b*x)^(3/2)
+--R 
+--R
+--R                   +-+
+--R                 x\|x
+--R   (150)  -------------------
+--R                    +-------+
+--R          (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 229
+
+--S 230 of 518
+r0042:= -2*x^(3/2)/b/(a+b*x)^(1/2)+3*x^(1/2)*(a+b*x)^(1/2)/b^2-_
+        3*a*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(5/2)
+--R 
+--R
+--R                                +-+ +-+
+--R               +-------+       \|b \|x                 +-+ +-+
+--R          - 3a\|b x + a atanh(----------) + (b x + 3a)\|b \|x
+--R                               +-------+
+--R                              \|b x + a
+--R   (151)  ----------------------------------------------------
+--R                             2 +-+ +-------+
+--R                            b \|b \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 230
+
+--S 231 of 518
+--a0042:= integrate(t0042,x)
+--E 231
+
+--S 232 of 518
+--m0042:= a0042-r0042
+--E 232
+
+--S 233 of 518
+--d0042:= D(m0042,x)
+--E 233
+
+--S 234 of 518
+t0043:= x^(3/2)/(a+b*x)^(5/2)
+--R 
+--R
+--R                         +-+
+--R                       x\|x
+--R   (152)  ------------------------------
+--R            2 2             2  +-------+
+--R          (b x  + 2a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 234
+
+--S 235 of 518
+r0043:= -2/3*x^(3/2)/b/(a+b*x)^(3/2)-2*x^(1/2)/b^2/(a+b*x)^(1/2)+_
+        2*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(5/2)
+--R 
+--R
+--R                                       +-+ +-+
+--R                      +-------+       \|b \|x                    +-+ +-+
+--R          (6b x + 6a)\|b x + a atanh(----------) + (- 8b x - 6a)\|b \|x
+--R                                      +-------+
+--R                                     \|b x + a
+--R   (153)  --------------------------------------------------------------
+--R                              3        2  +-+ +-------+
+--R                           (3b x + 3a b )\|b \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 235
+
+--S 236 of 518
+--a0043:= integrate(t0043,x)
+--E 236
+
+--S 237 of 518
+--m0043:= a0043-r0043
+--E 237
+
+--S 238 of 518
+--d0043:= D(m0043,x)
+--E 238
+
+--S 239 of 518
+t0044:= x^(5/2)/(a+b*x)^(1/2)
+--R 
+--R
+--R             2 +-+
+--R            x \|x
+--R   (154)  ----------
+--R           +-------+
+--R          \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 239
+
+--S 240 of 518
+r0044:= 5/8*a^2*x^(1/2)*(a+b*x)^(1/2)/b^3-5/12*a*x^(3/2)*(a+b*x)^(1/2)/b^2+_
+        1/3*x^(5/2)*(a+b*x)^(1/2)/b-_
+        5/8*a^3*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(7/2)
+--R 
+--R
+--R                        +-+ +-+
+--R               3       \|b \|x         2 2                2  +-+ +-+ +-------+
+--R          - 15a atanh(----------) + (8b x  - 10a b x + 15a )\|b \|x \|b x + a
+--R                       +-------+
+--R                      \|b x + a
+--R   (155)  --------------------------------------------------------------------
+--R                                           3 +-+
+--R                                        24b \|b
+--R                                                    Type: Expression(Integer)
+--E 240
+
+--S 241 of 518
+--a0044:= integrate(t0044,x)
+--E 241
+
+--S 242 of 518
+--m0044:= a0044-r0044
+--E 242
+
+--S 243 of 518
+--d0044:= D(m0044,x)
+--E 243
+
+--S 244 of 518
+t0045:= x^(5/2)/(a+b*x)^(3/2)
+--R 
+--R
+--R                  2 +-+
+--R                 x \|x
+--R   (156)  -------------------
+--R                    +-------+
+--R          (b x + a)\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 244
+
+--S 245 of 518
+r0045:= 1/4/b^(7/2)*(2*x^(5/2)*b^(5/2)-15*a^2*x^(1/2)*b^(1/2)-_
+        5*a*x^(3/2)*b^(3/2)+_
+        15*a^2*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))*(a+b*x)^(1/2))/_
+        (a+b*x)^(1/2)
+--R 
+--R
+--R                                +-+ +-+
+--R             2 +-------+       \|b \|x         2 2               2  +-+ +-+
+--R          15a \|b x + a atanh(----------) + (2b x  - 5a b x - 15a )\|b \|x
+--R                               +-------+
+--R                              \|b x + a
+--R   (157)  -----------------------------------------------------------------
+--R                                    3 +-+ +-------+
+--R                                  4b \|b \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 245
+
+--S 246 of 518
+--a0045:= integrate(t0045,x)
+--E 246
+
+--S 247 of 518
+--m0045:= a0045-r0045
+--E 247
+
+--S 248 of 518
+--d0045:= D(m0045,x)
+--E 248
+
+--S 249 of 518
+t0046:= x^(5/2)/(a+b*x)^(5/2)
+--R 
+--R
+--R                       2 +-+
+--R                      x \|x
+--R   (158)  ------------------------------
+--R            2 2             2  +-------+
+--R          (b x  + 2a b x + a )\|b x + a
+--R                                                    Type: Expression(Integer)
+--E 249
+
+--S 250 of 518
+r0046:= -2/3*x^(5/2)/b/(a+b*x)^(3/2)-10/3*x^(3/2)/b^2/(a+b*x)^(1/2)+_
+        5*x^(1/2)*(a+b*x)^(1/2)/b^3-_
+        5*a*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(7/2)
+--R 
+--R
+--R   (159)
+--R                                           +-+ +-+
+--R                       2  +-------+       \|b \|x
+--R       (- 15a b x - 15a )\|b x + a atanh(----------)
+--R                                          +-------+
+--R                                         \|b x + a
+--R     + 
+--R          2 2                2  +-+ +-+
+--R       (3b x  + 20a b x + 15a )\|b \|x
+--R  /
+--R        4        3  +-+ +-------+
+--R     (3b x + 3a b )\|b \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 250
+
+--S 251 of 518
+--a0046:= integrate(t0046,x)
+--E 251
+
+--S 252 of 518
+--m0046:= a0046-r0046
+--E 252
+
+--S 253 of 518
+--d0046:= D(m0046,x)
+--E 253
+
+--S 254 of 518
+t0047:= (a+b*x)^(1/2)/x^(1/2)
+--R 
+--R
+--R           +-------+
+--R          \|b x + a
+--R   (160)  ----------
+--R              +-+
+--R             \|x
+--R                                                    Type: Expression(Integer)
+--E 254
+
+--S 255 of 518
+r0047:= x^(1/2)*(a+b*x)^(1/2)+a*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(1/2)
+--R 
+--R
+--R                    +-+ +-+
+--R                   \|b \|x       +-+ +-+ +-------+
+--R          a atanh(----------) + \|b \|x \|b x + a
+--R                   +-------+
+--R                  \|b x + a
+--R   (161)  ----------------------------------------
+--R                             +-+
+--R                            \|b
+--R                                                    Type: Expression(Integer)
+--E 255
+
+--S 256 of 518
+--a0047:= integrate(t0047,x)
+--E 256
+
+--S 257 of 518
+--m0047:= a0047-r0047
+--E 257
+
+--S 258 of 518
+--d0047:= D(m0047,x)
+--E 258
+
+--S 259 of 518
+t0048:= (a+b*x)^(3/2)/x^(1/2)
+--R 
+--R
+--R                    +-------+
+--R          (b x + a)\|b x + a
+--R   (162)  -------------------
+--R                   +-+
+--R                  \|x
+--R                                                    Type: Expression(Integer)
+--E 259
+
+--S 260 of 518
+r0048:= 3/4*a*x^(1/2)*(a+b*x)^(1/2)+1/2*x^(1/2)*(a+b*x)^(3/2)+_
+        3/4*a^2*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(1/2)
+--R 
+--R
+--R                     +-+ +-+
+--R            2       \|b \|x                  +-+ +-+ +-------+
+--R          3a atanh(----------) + (2b x + 5a)\|b \|x \|b x + a
+--R                    +-------+
+--R                   \|b x + a
+--R   (163)  ----------------------------------------------------
+--R                                    +-+
+--R                                  4\|b
+--R                                                    Type: Expression(Integer)
+--E 260
+
+--S 261 of 518
+--a0048:= integrate(t0048,x)
+--E 261
+
+--S 262 of 518
+--m0048:= a0048-r0048
+--E 262
+
+--S 263 of 518
+--d0048:= D(m0048,x)
+--E 263
+
+--S 264 of 518
+t0049:= (a+b*x)^(5/2)/x^(1/2)
+--R 
+--R
+--R            2 2             2  +-------+
+--R          (b x  + 2a b x + a )\|b x + a
+--R   (164)  ------------------------------
+--R                        +-+
+--R                       \|x
+--R                                                    Type: Expression(Integer)
+--E 264
+
+--S 265 of 518
+r0049:= 5/8*a^2*x^(1/2)*(a+b*x)^(1/2)+5/12*a*x^(1/2)*(a+b*x)^(3/2)+_
+        1/3*x^(1/2)*(a+b*x)^(5/2)+_
+        5/8*a^3*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(1/2)
+--R 
+--R
+--R                      +-+ +-+
+--R             3       \|b \|x         2 2                2  +-+ +-+ +-------+
+--R          15a atanh(----------) + (8b x  + 26a b x + 33a )\|b \|x \|b x + a
+--R                     +-------+
+--R                    \|b x + a
+--R   (165)  ------------------------------------------------------------------
+--R                                           +-+
+--R                                        24\|b
+--R                                                    Type: Expression(Integer)
+--E 265
+
+--S 266 of 518
+--a0049:= integrate(t0049,x)
+--E 266
+
+--S 267 of 518
+--m0049:= a0049-r0049
+--E 267
+
+--S 268 of 518
+--d0049:= D(m0049,x)
+--E 268
+
+--S 269 of 518
+t0050:= 1/x^(1/2)/(a+b*x)^(1/2)
+--R 
+--R
+--R                 1
+--R   (166)  --------------
+--R           +-+ +-------+
+--R          \|x \|b x + a
+--R                                                    Type: Expression(Integer)
+--E 269
+
+--S 270 of 518
+r0050:= 2*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))/b^(1/2)
+--R 
+--R
+--R                   +-+ +-+
+--R                  \|b \|x
+--R          2atanh(----------)
+--R                  +-------+
+--R                 \|b x + a
+--R   (167)  ------------------
+--R                  +-+
+--R                 \|b
+--R                                                    Type: Expression(Integer)
+--E 270
+
+--S 271 of 518
+--a0050:= integrate(t0050,x)
+--E 271
+
+--S 272 of 518
+--m0050:= a0050-r0050
+--E 272
+
+--S 273 of 518
+--d0050:= D(m0050,x)
+--E 273
+
+--S 274 of 518
+t0051:= (a+b*x)^(1/2)/x^(3/2)
+--R 
+--R
+--R           +-------+
+--R          \|b x + a
+--R   (168)  ----------
+--R               +-+
+--R             x\|x
+--R                                                    Type: Expression(Integer)
+--E 274
+
+--S 275 of 518
+r0051:= -2*(a+b*x)^(1/2)/x^(1/2)+2*b^(1/2)*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))
+--R 
+--R
+--R                           +-+ +-+
+--R            +-+ +-+       \|b \|x        +-------+
+--R          2\|b \|x atanh(----------) - 2\|b x + a
+--R                          +-------+
+--R                         \|b x + a
+--R   (169)  ----------------------------------------
+--R                             +-+
+--R                            \|x
+--R                                                    Type: Expression(Integer)
+--E 275
+
+--S 276 of 518
+--a0051:= integrate(t0051,x)
+--E 276
+
+--S 277 of 518
+--m0051:= a0051-r0051
+--E 277
+
+--S 278 of 518
+--d0051:= D(m0051,x)
+--E 278
+
+--S 279 of 518
+t0052:= (a+b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R                    +-------+
+--R          (b x + a)\|b x + a
+--R   (170)  -------------------
+--R                   +-+
+--R                 x\|x
+--R                                                    Type: Expression(Integer)
+--E 279
+
+--S 280 of 518
+r0052:= 3*b*x^(1/2)*(a+b*x)^(1/2)-2*(a+b*x)^(3/2)/x^(1/2)+_
+        3*a*b^(1/2)*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))
+--R 
+--R
+--R                            +-+ +-+
+--R             +-+ +-+       \|b \|x                 +-------+
+--R          3a\|b \|x atanh(----------) + (b x - 2a)\|b x + a
+--R                           +-------+
+--R                          \|b x + a
+--R   (171)  --------------------------------------------------
+--R                                  +-+
+--R                                 \|x
+--R                                                    Type: Expression(Integer)
+--E 280
+
+--S 281 of 518
+--a0052:= integrate(t0052,x)
+--E 281
+
+--S 282 of 518
+--m0052:= a0052-r0052
+--E 282
+
+--S 283 of 518
+--d0052:= D(m0052,x)
+--E 283
+
+--S 284 of 518
+t0053:= (a+b*x)^(5/2)/x^(3/2)
+--R 
+--R
+--R            2 2             2  +-------+
+--R          (b x  + 2a b x + a )\|b x + a
+--R   (172)  ------------------------------
+--R                         +-+
+--R                       x\|x
+--R                                                    Type: Expression(Integer)
+--E 284
+
+--S 285 of 518
+r0053:= 15/4*a*b*x^(1/2)*(a+b*x)^(1/2)+5/2*b*x^(1/2)*(a+b*x)^(3/2)-_
+        2*(a+b*x)^(5/2)/x^(1/2)+_
+        15/4*a^2*b^(1/2)*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))
+--R 
+--R
+--R                              +-+ +-+
+--R             2 +-+ +-+       \|b \|x         2 2              2  +-------+
+--R          15a \|b \|x atanh(----------) + (2b x  + 9a b x - 8a )\|b x + a
+--R                             +-------+
+--R                            \|b x + a
+--R   (173)  ----------------------------------------------------------------
+--R                                          +-+
+--R                                        4\|x
+--R                                                    Type: Expression(Integer)
+--E 285
+
+--S 286 of 518
+--a0053:= integrate(t0053,x)
+--E 286
+
+--S 287 of 518
+--m0053:= a0053-r0053
+--E 287
+
+--S 288 of 518
+--d0053:= D(m0053,x)
+--E 288
+
+--S 289 of 518
+t0054:= (a+b*x)^(3/2)/x^(5/2)
+--R 
+--R
+--R                    +-------+
+--R          (b x + a)\|b x + a
+--R   (174)  -------------------
+--R                  2 +-+
+--R                 x \|x
+--R                                                    Type: Expression(Integer)
+--E 289
+
+--S 290 of 518
+r0054:= -2*b*(a+b*x)^(1/2)/x^(1/2)-2/3*(a+b*x)^(3/2)/x^(3/2)+_
+        2*b^(3/2)*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))
+--R 
+--R
+--R                              +-+ +-+
+--R               +-+ +-+       \|b \|x                    +-------+
+--R          6b x\|b \|x atanh(----------) + (- 8b x - 2a)\|b x + a
+--R                             +-------+
+--R                            \|b x + a
+--R   (175)  -------------------------------------------------------
+--R                                      +-+
+--R                                   3x\|x
+--R                                                    Type: Expression(Integer)
+--E 290
+
+--S 291 of 518
+--a0054:= integrate(t0054,x)
+--E 291
+
+--S 292 of 518
+--m0054:= a0054-r0054
+--E 292
+
+--S 293 of 518
+--d0054:= D(m0054,x)
+--E 293
+
+--S 294 of 518
+t0055:= (a+b*x)^(5/2)/x^(5/2)
+--R 
+--R
+--R            2 2             2  +-------+
+--R          (b x  + 2a b x + a )\|b x + a
+--R   (176)  ------------------------------
+--R                       2 +-+
+--R                      x \|x
+--R                                                    Type: Expression(Integer)
+--E 294
+
+--S 295 of 518
+r0055:= 5*b^2*x^(1/2)*(a+b*x)^(1/2)-10/3*b*(a+b*x)^(3/2)/x^(1/2)-_
+        2/3*(a+b*x)^(5/2)/x^(3/2)+_
+        5*a*b^(3/2)*atanh(b^(1/2)*x^(1/2)/(a+b*x)^(1/2))
+--R 
+--R
+--R                                 +-+ +-+
+--R                  +-+ +-+       \|b \|x         2 2               2  +-------+
+--R          15a b x\|b \|x atanh(----------) + (3b x  - 14a b x - 2a )\|b x + a
+--R                                +-------+
+--R                               \|b x + a
+--R   (177)  --------------------------------------------------------------------
+--R                                            +-+
+--R                                         3x\|x
+--R                                                    Type: Expression(Integer)
+--E 295
+
+--S 296 of 518
+--a0055:= integrate(t0055,x)
+--E 296
+
+--S 297 of 518
+--m0055:= a0055-r0055
+--E 297
+
+--S 298 of 518
+--d0055:= D(m0055,x)
+--E 298
+
+--S 299 of 518
+t0056:= x^(1/2)*(2-b*x)^(1/2)
+--R 
+--R
+--R           +---------+ +-+
+--R   (178)  \|- b x + 2 \|x
+--R                                                    Type: Expression(Integer)
+--E 299
+
+--S 300 of 518
+r0056:= -1/2*x^(1/2)*(2-b*x)^(1/2)/b+1/2*x^(3/2)*(2-b*x)^(1/2)+_
+        asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(3/2)
+--R 
+--R
+--R                 +-+ +-+ +-+
+--R                \|2 \|b \|x               +---------+ +-+ +-+
+--R          2asin(------------) + (b x - 1)\|- b x + 2 \|b \|x
+--R                      2
+--R   (179)  ---------------------------------------------------
+--R                                    +-+
+--R                                 2b\|b
+--R                                                    Type: Expression(Integer)
+--E 300
+
+--S 301 of 518
+--a0056:= integrate(t0056,x)
+--E 301
+
+--S 302 of 518
+--m0056:= a0056-r0056
+--E 302
+
+--S 303 of 518
+--d0056:= D(m0056,x)
+--E 303
+
+--S 304 of 518
+t0057:= x^(1/2)/(1-x)^(1/2)
+--R 
+--R
+--R              +-+
+--R             \|x
+--R   (180)  ----------
+--R           +-------+
+--R          \|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 304
+
+--S 305 of 518
+r0057:= -(1-x)^(1/2)*x^(1/2)-asin((1-x)^(1/2))
+--R 
+--R
+--R                  +-------+     +-------+ +-+
+--R   (181)  - asin(\|- x + 1 ) - \|- x + 1 \|x
+--R                                                    Type: Expression(Integer)
+--E 305
+
+--S 306 of 518
+--a0057:= integrate(t0057,x)
+--E 306
+
+--S 307 of 518
+--m0057:= a0057-r0057
+--E 307
+
+--S 308 of 518
+--d0057:= D(m0057,x)
+--E 308
+
+--S 309 of 518
+t0058:= x^(1/2)/(2-b*x)^(1/2)
+--R 
+--R
+--R               +-+
+--R              \|x
+--R   (182)  ------------
+--R           +---------+
+--R          \|- b x + 2
+--R                                                    Type: Expression(Integer)
+--E 309
+
+--S 310 of 518
+r0058:= -x^(1/2)*(2-b*x)^(1/2)/b+2*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(3/2)
+--R 
+--R
+--R                 +-+ +-+ +-+
+--R                \|2 \|b \|x      +---------+ +-+ +-+
+--R          2asin(------------) - \|- b x + 2 \|b \|x
+--R                      2
+--R   (183)  ------------------------------------------
+--R                               +-+
+--R                             b\|b
+--R                                                    Type: Expression(Integer)
+--E 310
+
+--S 311 of 518
+--a0058:= integrate(t0058,x)
+--E 311
+
+--S 312 of 518
+--m0058:= a0058-r0058
+--E 312
+
+--S 313 of 518
+--d0058:= D(m0058,x)
+--E 313
+
+--S 314 of 518
+t0059:= x^(3/2)/(2-b*x)^(3/2)
+--R 
+--R
+--R                      +-+
+--R                    x\|x
+--R   (184)  - ---------------------
+--R                      +---------+
+--R            (b x - 2)\|- b x + 2
+--R                                                    Type: Expression(Integer)
+--E 314
+
+--S 315 of 518
+r0059:= 2*x^(3/2)/b/(2-b*x)^(1/2)+3*x^(1/2)*(2-b*x)^(1/2)/b^2-_
+        6*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(5/2)
+--R 
+--R
+--R                               +-+ +-+ +-+
+--R              +---------+     \|2 \|b \|x                 +-+ +-+
+--R          - 6\|- b x + 2 asin(------------) + (- b x + 6)\|b \|x
+--R                                    2
+--R   (185)  -------------------------------------------------------
+--R                              2 +---------+ +-+
+--R                             b \|- b x + 2 \|b
+--R                                                    Type: Expression(Integer)
+--E 315
+
+--S 316 of 518
+--a0059:= integrate(t0059,x)
+--E 316
+
+--S 317 of 518
+--m0059:= a0059-r0059
+--E 317
+
+--S 318 of 518
+--d0059:= D(m0059,x)
+--E 318
+
+--S 319 of 518
+t0060:= x^(5/2)/(2-b*x)^(3/2)
+--R 
+--R
+--R                     2 +-+
+--R                    x \|x
+--R   (186)  - ---------------------
+--R                      +---------+
+--R            (b x - 2)\|- b x + 2
+--R                                                    Type: Expression(Integer)
+--E 319
+
+--S 320 of 518
+r0060:= -1/2/b^(7/2)*(x^(5/2)*b^(5/2)-30*x^(1/2)*b^(1/2)+5*x^(3/2)*b^(3/2)+_
+        30*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))*(2-b*x)^(1/2))/(2-b*x)^(1/2)
+--R 
+--R
+--R                                +-+ +-+ +-+
+--R               +---------+     \|2 \|b \|x         2 2              +-+ +-+
+--R          - 30\|- b x + 2 asin(------------) + (- b x  - 5b x + 30)\|b \|x
+--R                                     2
+--R   (187)  -----------------------------------------------------------------
+--R                                   3 +---------+ +-+
+--R                                 2b \|- b x + 2 \|b
+--R                                                    Type: Expression(Integer)
+--E 320
+
+--S 321 of 518
+--a0060:= integrate(t0060,x)
+--E 321
+
+--S 322 of 518
+--m0060:= a0060-r0060
+--E 322
+
+--S 323 of 518
+--d0060:= D(m0060,x)
+--E 323
+
+--S 324 of 518
+t0061:= x^(5/2)/(2-b*x)^(5/2)
+--R 
+--R
+--R                       2 +-+
+--R                      x \|x
+--R   (188)  -----------------------------
+--R            2 2             +---------+
+--R          (b x  - 4b x + 4)\|- b x + 2
+--R                                                    Type: Expression(Integer)
+--E 324
+
+--S 325 of 518
+r0061:= 2/3*x^(5/2)/b/(2-b*x)^(3/2)-10/3*x^(3/2)/b^2/(2-b*x)^(1/2)-_
+        5*x^(1/2)*(2-b*x)^(1/2)/b^3+_
+        10*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(7/2)
+--R 
+--R
+--R   (189)
+--R                                 +-+ +-+ +-+
+--R                +---------+     \|2 \|b \|x        2 2               +-+ +-+
+--R   (30b x - 60)\|- b x + 2 asin(------------) + (3b x  - 40b x + 60)\|b \|x
+--R                                      2
+--R   -------------------------------------------------------------------------
+--R                             4      3  +---------+ +-+
+--R                          (3b x - 6b )\|- b x + 2 \|b
+--R                                                    Type: Expression(Integer)
+--E 325
+
+--S 326 of 518
+--a0061:= integrate(t0061,x)
+--E 326
+
+--S 327 of 518
+--m0061:= a0061-r0061
+--E 327
+
+--S 328 of 518
+--d0061:= D(m0061,x)
+--E 328
+
+--S 329 of 518
+t0062:= (2-b*x)^(1/2)/x^(1/2)
+--R 
+--R
+--R           +---------+
+--R          \|- b x + 2
+--R   (190)  ------------
+--R               +-+
+--R              \|x
+--R                                                    Type: Expression(Integer)
+--E 329
+
+--S 330 of 518
+r0062:= x^(1/2)*(2-b*x)^(1/2)+2*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(1/2)
+--R 
+--R
+--R                 +-+ +-+ +-+
+--R                \|2 \|b \|x      +---------+ +-+ +-+
+--R          2asin(------------) + \|- b x + 2 \|b \|x
+--R                      2
+--R   (191)  ------------------------------------------
+--R                              +-+
+--R                             \|b
+--R                                                    Type: Expression(Integer)
+--E 330
+
+--S 331 of 518
+--a0062:= integrate(t0062,x)
+--E 331
+
+--S 332 of 518
+--m0062:= a0062-r0062
+--E 332
+
+--S 333 of 518
+--d0062:= D(m0062,x)
+--E 333
+
+--S 334 of 518
+t0063:= (2-b*x)^(3/2)/x^(1/2)
+--R 
+--R
+--R                      +---------+
+--R          (- b x + 2)\|- b x + 2
+--R   (192)  -----------------------
+--R                     +-+
+--R                    \|x
+--R                                                    Type: Expression(Integer)
+--E 334
+
+--S 335 of 518
+r0063:= 3/2*x^(1/2)*(2-b*x)^(1/2)+1/2*x^(1/2)*(2-b*x)^(3/2)+_
+        3*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(1/2)
+--R 
+--R
+--R                 +-+ +-+ +-+
+--R                \|2 \|b \|x                 +---------+ +-+ +-+
+--R          6asin(------------) + (- b x + 5)\|- b x + 2 \|b \|x
+--R                      2
+--R   (193)  -----------------------------------------------------
+--R                                    +-+
+--R                                  2\|b
+--R                                                    Type: Expression(Integer)
+--E 335
+
+--S 336 of 518
+--a0063:= integrate(t0063,x)
+--E 336
+
+--S 337 of 518
+--m0063:= a0063-r0063
+--E 337
+
+--S 338 of 518
+--d0063:= D(m0063,x)
+--E 338
+
+--S 339 of 518
+t0064:= 1/x^(1/2)/(2-b*x)^(1/2)
+--R 
+--R
+--R                  1
+--R   (194)  ----------------
+--R           +---------+ +-+
+--R          \|- b x + 2 \|x
+--R                                                    Type: Expression(Integer)
+--E 339
+
+--S 340 of 518
+r0064:= 2*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))/b^(1/2)
+--R 
+--R
+--R                 +-+ +-+ +-+
+--R                \|2 \|b \|x
+--R          2asin(------------)
+--R                      2
+--R   (195)  -------------------
+--R                   +-+
+--R                  \|b
+--R                                                    Type: Expression(Integer)
+--E 340
+
+--S 341 of 518
+--a0064:= integrate(t0064,x)
+--E 341
+
+--S 342 of 518
+--m0064:= a0064-r0064
+--E 342
+
+--S 343 of 518
+--d0064:= D(m0064,x)
+--E 343
+
+--S 344 of 518
+t0065:= (2-b*x)^(1/2)/x^(3/2)
+--R 
+--R
+--R           +---------+
+--R          \|- b x + 2
+--R   (196)  ------------
+--R                +-+
+--R              x\|x
+--R                                                    Type: Expression(Integer)
+--E 344
+
+--S 345 of 518
+r0065:= -2*(2-b*x)^(1/2)/x^(1/2)-2*b^(1/2)*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))
+--R 
+--R
+--R                           +-+ +-+ +-+
+--R              +-+ +-+     \|2 \|b \|x       +---------+
+--R          - 2\|b \|x asin(------------) - 2\|- b x + 2
+--R                                2
+--R   (197)  ---------------------------------------------
+--R                                +-+
+--R                               \|x
+--R                                                    Type: Expression(Integer)
+--E 345
+
+--S 346 of 518
+--a0065:= integrate(t0065,x)
+--E 346
+
+--S 347 of 518
+--m0065:= a0065-r0065
+--E 347
+
+--S 348 of 518
+--d0065:= D(m0065,x)
+--E 348
+
+--S 349 of 518
+t0066:= (2-b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R                      +---------+
+--R          (- b x + 2)\|- b x + 2
+--R   (198)  -----------------------
+--R                     +-+
+--R                   x\|x
+--R                                                    Type: Expression(Integer)
+--E 349
+
+--S 350 of 518
+r0066:= -3*b*x^(1/2)*(2-b*x)^(1/2)-2*(2-b*x)^(3/2)/x^(1/2)-_
+        6*b^(1/2)*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))
+--R 
+--R
+--R                           +-+ +-+ +-+
+--R              +-+ +-+     \|2 \|b \|x                 +---------+
+--R          - 6\|b \|x asin(------------) + (- b x - 4)\|- b x + 2
+--R                                2
+--R   (199)  -------------------------------------------------------
+--R                                     +-+
+--R                                    \|x
+--R                                                    Type: Expression(Integer)
+--E 350
+
+--S 351 of 518
+--a0066:= integrate(t0066,x)
+--E 351
+
+--S 352 of 518
+--m0066:= a0066-r0066
+--E 352
+
+--S 353 of 518
+--d0066:= D(m0066,x)
+--E 353
+
+--S 354 of 518
+t0067:= (2-b*x)^(5/2)/x^(3/2)
+--R 
+--R
+--R            2 2             +---------+
+--R          (b x  - 4b x + 4)\|- b x + 2
+--R   (200)  -----------------------------
+--R                        +-+
+--R                      x\|x
+--R                                                    Type: Expression(Integer)
+--E 354
+
+--S 355 of 518
+r0067:= -15/2*b*x^(1/2)*(2-b*x)^(1/2)-5/2*b*x^(1/2)*(2-b*x)^(3/2)-_
+        2*(2-b*x)^(5/2)/x^(1/2)-15*b^(1/2)*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))
+--R 
+--R
+--R                            +-+ +-+ +-+
+--R               +-+ +-+     \|2 \|b \|x       2 2              +---------+
+--R          - 30\|b \|x asin(------------) + (b x  - 9b x - 16)\|- b x + 2
+--R                                 2
+--R   (201)  ---------------------------------------------------------------
+--R                                         +-+
+--R                                       2\|x
+--R                                                    Type: Expression(Integer)
+--E 355
+
+--S 356 of 518
+--a0067:= integrate(t0067,x)
+--E 356
+
+--S 357 of 518
+--m0067:= a0067-r0067
+--E 357
+
+--S 358 of 518
+--d0067:= D(m0067,x)
+--E 358
+
+--S 359 of 518
+t0068:= (2-b*x)^(3/2)/x^(5/2)
+--R 
+--R
+--R                      +---------+
+--R          (- b x + 2)\|- b x + 2
+--R   (202)  -----------------------
+--R                    2 +-+
+--R                   x \|x
+--R                                                    Type: Expression(Integer)
+--E 359
+
+--S 360 of 518
+r0068:= 2*b*(2-b*x)^(1/2)/x^(1/2)-2/3*(2-b*x)^(3/2)/x^(3/2)+_
+        2*b^(3/2)*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))
+--R 
+--R
+--R                            +-+ +-+ +-+
+--R               +-+ +-+     \|2 \|b \|x                +---------+
+--R          6b x\|b \|x asin(------------) + (8b x - 4)\|- b x + 2
+--R                                 2
+--R   (203)  -------------------------------------------------------
+--R                                      +-+
+--R                                   3x\|x
+--R                                                    Type: Expression(Integer)
+--E 360
+
+--S 361 of 518
+--a0068:= integrate(t0068,x)
+--E 361
+
+--S 362 of 518
+--m0068:= a0068-r0068
+--E 362
+
+--S 363 of 518
+--d0068:= D(m0068,x)
+--E 363
+
+--S 364 of 518
+t0069:= (2-b*x)^(5/2)/x^(5/2)
+--R 
+--R
+--R            2 2             +---------+
+--R          (b x  - 4b x + 4)\|- b x + 2
+--R   (204)  -----------------------------
+--R                       2 +-+
+--R                      x \|x
+--R                                                    Type: Expression(Integer)
+--E 364
+
+--S 365 of 518
+r0069:= 1/3*(3*b^2*x^2*(2-b*x)^(1/2)+28*b*x*(2-b*x)^(1/2)-8*(2-b*x)^(1/2)+_
+        30*b^(3/2)*asin(1/2*b^(1/2)*x^(1/2)*2^(1/2))*x^(3/2))/x^(3/2)
+--R 
+--R
+--R                             +-+ +-+ +-+
+--R                +-+ +-+     \|2 \|b \|x        2 2              +---------+
+--R          30b x\|b \|x asin(------------) + (3b x  + 28b x - 8)\|- b x + 2
+--R                                  2
+--R   (205)  -----------------------------------------------------------------
+--R                                           +-+
+--R                                        3x\|x
+--R                                                    Type: Expression(Integer)
+--E 365
+
+--S 366 of 518
+--a0069:= integrate(t0069,x)
+--E 366
+
+--S 367 of 518
+--m0069:= a0069-r0069
+--E 367
+
+--S 368 of 518
+--d0069:= D(m0069,x)
+--E 368
+
+--S 369 of 518
+t0070:= x^(1/2)*(a-b*x)^(1/2)
+--R 
+--R
+--R           +---------+ +-+
+--R   (206)  \|- b x + a \|x
+--R                                                    Type: Expression(Integer)
+--E 369
+
+--S 370 of 518
+r0070:= -1/4*a*x^(1/2)*(a-b*x)^(1/2)/b+1/2*x^(3/2)*(a-b*x)^(1/2)+_
+        1/4*a^2*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))/b^(3/2)
+--R 
+--R
+--R                    +-+ +-+
+--R           2       \|b \|x                  +---------+ +-+ +-+
+--R          a atan(------------) + (2b x - a)\|- b x + a \|b \|x
+--R                  +---------+
+--R                 \|- b x + a
+--R   (207)  -----------------------------------------------------
+--R                                     +-+
+--R                                  4b\|b
+--R                                                    Type: Expression(Integer)
+--E 370
+
+--S 371 of 518
+--a0070:= integrate(t0070,x)
+--E 371
+
+--S 372 of 518
+--m0070:= a0070-r0070
+--E 372
+
+--S 373 of 518
+--d0070:= D(m0070,x)
+--E 373
+
+--S 374 of 518
+t0071:= x^(1/2)/(a-b*x)^(1/2)
+--R 
+--R
+--R               +-+
+--R              \|x
+--R   (208)  ------------
+--R           +---------+
+--R          \|- b x + a
+--R                                                    Type: Expression(Integer)
+--E 374
+
+--S 375 of 518
+r0071:= -x^(1/2)*(a-b*x)^(1/2)/b+a*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))/b^(3/2)
+--R 
+--R
+--R                    +-+ +-+
+--R                   \|b \|x        +---------+ +-+ +-+
+--R          a atan(------------) - \|- b x + a \|b \|x
+--R                  +---------+
+--R                 \|- b x + a
+--R   (209)  -------------------------------------------
+--R                               +-+
+--R                             b\|b
+--R                                                    Type: Expression(Integer)
+--E 375
+
+--S 376 of 518
+--a0071:= integrate(t0071,x)
+--E 376
+
+--S 377 of 518
+--m0071:= a0071-r0071
+--E 377
+
+--S 378 of 518
+--d0071:= D(m0071,x)
+--E 378
+
+--S 379 of 518
+t0072:= x^(1/2)/(a-b*x)^(3/2)
+--R 
+--R
+--R                      +-+
+--R                     \|x
+--R   (210)  - ---------------------
+--R                      +---------+
+--R            (b x - a)\|- b x + a
+--R                                                    Type: Expression(Integer)
+--E 379
+
+--S 380 of 518
+r0072:= 2*x^(1/2)/b/(a-b*x)^(1/2)-2*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))/b^(3/2)
+--R 
+--R
+--R                                 +-+ +-+
+--R              +---------+       \|b \|x         +-+ +-+
+--R          - 2\|- b x + a atan(------------) + 2\|b \|x
+--R                               +---------+
+--R                              \|- b x + a
+--R   (211)  ---------------------------------------------
+--R                          +---------+ +-+
+--R                        b\|- b x + a \|b
+--R                                                    Type: Expression(Integer)
+--E 380
+
+--S 381 of 518
+--a0072:= integrate(t0072,x)
+--E 381
+
+--S 382 of 518
+--m0072:= a0072-r0072
+--E 382
+
+--S 383 of 518
+--d0072:= D(m0072,x)
+--E 383
+
+--S 384 of 518
+t0073:= x^(3/2)/(a-b*x)^(3/2)
+--R 
+--R
+--R                      +-+
+--R                    x\|x
+--R   (212)  - ---------------------
+--R                      +---------+
+--R            (b x - a)\|- b x + a
+--R                                                    Type: Expression(Integer)
+--E 384
+
+--S 385 of 518
+r0073:= 2*x^(3/2)/b/(a-b*x)^(1/2)+3*x^(1/2)*(a-b*x)^(1/2)/b^2-_
+        3*a*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))/b^(5/2)
+--R 
+--R
+--R                                  +-+ +-+
+--R               +---------+       \|b \|x                    +-+ +-+
+--R          - 3a\|- b x + a atan(------------) + (- b x + 3a)\|b \|x
+--R                                +---------+
+--R                               \|- b x + a
+--R   (213)  ---------------------------------------------------------
+--R                               2 +---------+ +-+
+--R                              b \|- b x + a \|b
+--R                                                    Type: Expression(Integer)
+--E 385
+
+--S 386 of 518
+--a0073:= integrate(t0073,x)
+--E 386
+
+--S 387 of 518
+--m0073:= a0073-r0073
+--E 387
+
+--S 388 of 518
+--d0073:= D(m0073,x)
+--E 388
+
+--S 389 of 518
+t0074:= x^(3/2)/(a-b*x)^(5/2)
+--R 
+--R
+--R                          +-+
+--R                        x\|x
+--R   (214)  --------------------------------
+--R            2 2             2  +---------+
+--R          (b x  - 2a b x + a )\|- b x + a
+--R                                                    Type: Expression(Integer)
+--E 389
+
+--S 390 of 518
+r0074:= 2/3*x^(3/2)/b/(a-b*x)^(3/2)-2*x^(1/2)/b^2/(a-b*x)^(1/2)+_
+        2*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))/b^(5/2)
+--R 
+--R
+--R                                         +-+ +-+
+--R                      +---------+       \|b \|x                     +-+ +-+
+--R          (6b x - 6a)\|- b x + a atan(------------) + (- 8b x + 6a)\|b \|x
+--R                                       +---------+
+--R                                      \|- b x + a
+--R   (215)  -----------------------------------------------------------------
+--R                               3        2  +---------+ +-+
+--R                            (3b x - 3a b )\|- b x + a \|b
+--R                                                    Type: Expression(Integer)
+--E 390
+
+--S 391 of 518
+--a0074:= integrate(t0074,x)
+--E 391
+
+--S 392 of 518
+--m0074:= a0074-r0074
+--E 392
+
+--S 393 of 518
+--d0074:= D(m0074,x)
+--E 393
+
+--S 394 of 518
+t0075:= x^(5/2)/(a-b*x)^(3/2)
+--R 
+--R
+--R                     2 +-+
+--R                    x \|x
+--R   (216)  - ---------------------
+--R                      +---------+
+--R            (b x - a)\|- b x + a
+--R                                                    Type: Expression(Integer)
+--E 394
+
+--S 395 of 518
+r0075:= -1/4/b^(7/2)*(2*x^(5/2)*b^(5/2)-15*a^2*x^(1/2)*b^(1/2)+_
+        5*a*x^(3/2)*b^(3/2)+_
+        15*a^2*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))*(a-b*x)^(1/2))/(a-b*x)^(1/2)
+--R 
+--R
+--R   (217)
+--R                             +-+ +-+
+--R        2 +---------+       \|b \|x            2 2               2  +-+ +-+
+--R   - 15a \|- b x + a atan(------------) + (- 2b x  - 5a b x + 15a )\|b \|x
+--R                           +---------+
+--R                          \|- b x + a
+--R   ------------------------------------------------------------------------
+--R                                3 +---------+ +-+
+--R                              4b \|- b x + a \|b
+--R                                                    Type: Expression(Integer)
+--E 395
+
+--S 396 of 518
+--a0075:= integrate(t0075,x)
+--E 396
+
+--S 397 of 518
+--m0075:= a0075-r0075
+--E 397
+
+--S 398 of 518
+--d0075:= D(m0075,x)
+--E 398
+
+--S 399 of 518
+t0076:= x^(5/2)/(a-b*x)^(5/2)
+--R 
+--R
+--R                        2 +-+
+--R                       x \|x
+--R   (218)  --------------------------------
+--R            2 2             2  +---------+
+--R          (b x  - 2a b x + a )\|- b x + a
+--R                                                    Type: Expression(Integer)
+--E 399
+
+--S 400 of 518
+r0076:= 2/3*x^(5/2)/b/(a-b*x)^(3/2)-10/3*x^(3/2)/b^2/(a-b*x)^(1/2)-_
+        5*x^(1/2)*(a-b*x)^(1/2)/b^3+_
+        5*a*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))/b^(7/2)
+--R 
+--R
+--R   (219)
+--R                                           +-+ +-+
+--R                     2  +---------+       \|b \|x
+--R       (15a b x - 15a )\|- b x + a atan(------------)
+--R                                         +---------+
+--R                                        \|- b x + a
+--R     + 
+--R          2 2                2  +-+ +-+
+--R       (3b x  - 20a b x + 15a )\|b \|x
+--R  /
+--R        4        3  +---------+ +-+
+--R     (3b x - 3a b )\|- b x + a \|b
+--R                                                    Type: Expression(Integer)
+--E 400
+
+--S 401 of 518
+--a0076:= integrate(t0076,x)
+--E 401
+
+--S 402 of 518
+--m0076:= a0076-r0076
+--E 402
+
+--S 403 of 518
+--d0076:= D(m0076,x)
+--E 403
+
+--S 404 of 518
+t0077:= (a-b*x)^(1/2)/x^(1/2)
+--R 
+--R
+--R           +---------+
+--R          \|- b x + a
+--R   (220)  ------------
+--R               +-+
+--R              \|x
+--R                                                    Type: Expression(Integer)
+--E 404
+
+--S 405 of 518
+r0077:= x^(1/2)*(a-b*x)^(1/2)+a*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))/b^(1/2)
+--R 
+--R
+--R                    +-+ +-+
+--R                   \|b \|x        +---------+ +-+ +-+
+--R          a atan(------------) + \|- b x + a \|b \|x
+--R                  +---------+
+--R                 \|- b x + a
+--R   (221)  -------------------------------------------
+--R                               +-+
+--R                              \|b
+--R                                                    Type: Expression(Integer)
+--E 405
+
+--S 406 of 518
+--a0077:= integrate(t0077,x)
+--E 406
+
+--S 407 of 518
+--m0077:= a0077-r0077
+--E 407
+
+--S 408 of 518
+--d0077:= D(m0077,x)
+--E 408
+
+--S 409 of 518
+t0078:= (a-b*x)^(3/2)/x^(1/2)
+--R 
+--R
+--R                      +---------+
+--R          (- b x + a)\|- b x + a
+--R   (222)  -----------------------
+--R                     +-+
+--R                    \|x
+--R                                                    Type: Expression(Integer)
+--E 409
+
+--S 410 of 518
+r0078:= 3/4*a*x^(1/2)*(a-b*x)^(1/2)+1/2*x^(1/2)*(a-b*x)^(3/2)+_
+        3/4*a^2*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))/b^(1/2)
+--R 
+--R
+--R                     +-+ +-+
+--R            2       \|b \|x                     +---------+ +-+ +-+
+--R          3a atan(------------) + (- 2b x + 5a)\|- b x + a \|b \|x
+--R                   +---------+
+--R                  \|- b x + a
+--R   (223)  ---------------------------------------------------------
+--R                                      +-+
+--R                                    4\|b
+--R                                                    Type: Expression(Integer)
+--E 410
+
+--S 411 of 518
+--a0078:= integrate(t0078,x)
+--E 411
+
+--S 412 of 518
+--m0078:= a0078-r0078
+--E 412
+
+--S 413 of 518
+--d0078:= D(m0078,x)
+--E 413
+
+--S 414 of 518
+t0079:= 1/x^(1/2)/(a-b*x)^(1/2)
+--R 
+--R
+--R                  1
+--R   (224)  ----------------
+--R           +---------+ +-+
+--R          \|- b x + a \|x
+--R                                                    Type: Expression(Integer)
+--E 414
+
+--S 415 of 518
+r0079:= 2*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))/b^(1/2)
+--R 
+--R
+--R                   +-+ +-+
+--R                  \|b \|x
+--R          2atan(------------)
+--R                 +---------+
+--R                \|- b x + a
+--R   (225)  -------------------
+--R                   +-+
+--R                  \|b
+--R                                                    Type: Expression(Integer)
+--E 415
+
+--S 416 of 518
+--a0079:= integrate(t0079,x)
+--E 416
+
+--S 417 of 518
+--m0079:= a0079-r0079
+--E 417
+
+--S 418 of 518
+--d0079:= D(m0079,x)
+--E 418
+
+--S 419 of 518
+t0080:= (a-b*x)^(1/2)/x^(3/2)
+--R 
+--R
+--R           +---------+
+--R          \|- b x + a
+--R   (226)  ------------
+--R                +-+
+--R              x\|x
+--R                                                    Type: Expression(Integer)
+--E 419
+
+--S 420 of 518
+r0080:= -2*(a-b*x)^(1/2)/x^(1/2)-2*b^(1/2)*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))
+--R 
+--R
+--R                             +-+ +-+
+--R              +-+ +-+       \|b \|x         +---------+
+--R          - 2\|b \|x atan(------------) - 2\|- b x + a
+--R                           +---------+
+--R                          \|- b x + a
+--R   (227)  ---------------------------------------------
+--R                                +-+
+--R                               \|x
+--R                                                    Type: Expression(Integer)
+--E 420
+
+--S 421 of 518
+--a0080:= integrate(t0080,x)
+--E 421
+
+--S 422 of 518
+--m0080:= a0080-r0080
+--E 422
+
+--S 423 of 518
+--d0080:= D(m0080,x)
+--E 423
+
+--S 424 of 518
+t0081:= (a-b*x)^(3/2)/x^(3/2)
+--R 
+--R
+--R                      +---------+
+--R          (- b x + a)\|- b x + a
+--R   (228)  -----------------------
+--R                     +-+
+--R                   x\|x
+--R                                                    Type: Expression(Integer)
+--E 424
+
+--S 425 of 518
+r0081:= -3*b*x^(1/2)*(a-b*x)^(1/2)-2*(a-b*x)^(3/2)/x^(1/2)-_
+        3*a*b^(1/2)*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))
+--R 
+--R
+--R                              +-+ +-+
+--R               +-+ +-+       \|b \|x                    +---------+
+--R          - 3a\|b \|x atan(------------) + (- b x - 2a)\|- b x + a
+--R                            +---------+
+--R                           \|- b x + a
+--R   (229)  ---------------------------------------------------------
+--R                                      +-+
+--R                                     \|x
+--R                                                    Type: Expression(Integer)
+--E 425
+
+--S 426 of 518
+--a0081:= integrate(t0081,x)
+--E 426
+
+--S 427 of 518
+--m0081:= a0081-r0081
+--E 427
+
+--S 428 of 518
+--d0081:= D(m0081,x)
+--E 428
+
+--S 429 of 518
+t0082:= (a-b*x)^(5/2)/x^(3/2)
+--R 
+--R
+--R            2 2             2  +---------+
+--R          (b x  - 2a b x + a )\|- b x + a
+--R   (230)  --------------------------------
+--R                          +-+
+--R                        x\|x
+--R                                                    Type: Expression(Integer)
+--E 429
+
+--S 430 of 518
+r0082:= -15/4*a*b*x^(1/2)*(a-b*x)^(1/2)-5/2*b*x^(1/2)*(a-b*x)^(3/2)-_
+        2*(a-b*x)^(5/2)/x^(1/2)-_
+        15/4*a^2*b^(1/2)*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))
+--R 
+--R
+--R   (231)
+--R                         +-+ +-+
+--R        2 +-+ +-+       \|b \|x          2 2              2  +---------+
+--R   - 15a \|b \|x atan(------------) + (2b x  - 9a b x - 8a )\|- b x + a
+--R                       +---------+
+--R                      \|- b x + a
+--R   ---------------------------------------------------------------------
+--R                                     +-+
+--R                                   4\|x
+--R                                                    Type: Expression(Integer)
+--E 430
+
+--S 431 of 518
+--a0082:= integrate(t0082,x)
+--E 431
+
+--S 432 of 518
+--m0082:= a0082-r0082
+--E 432
+
+--S 433 of 518
+--d0082:= D(m0082,x)
+--E 433
+
+--S 434 of 518
+t0083:= (a-b*x)^(3/2)/x^(5/2)
+--R 
+--R
+--R                      +---------+
+--R          (- b x + a)\|- b x + a
+--R   (232)  -----------------------
+--R                    2 +-+
+--R                   x \|x
+--R                                                    Type: Expression(Integer)
+--E 434
+
+--S 435 of 518
+r0083:= 2*b*(a-b*x)^(1/2)/x^(1/2)-2/3*(a-b*x)^(3/2)/x^(3/2)+_
+        2*b^(3/2)*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))
+--R 
+--R
+--R                              +-+ +-+
+--R               +-+ +-+       \|b \|x                   +---------+
+--R          6b x\|b \|x atan(------------) + (8b x - 2a)\|- b x + a
+--R                            +---------+
+--R                           \|- b x + a
+--R   (233)  --------------------------------------------------------
+--R                                      +-+
+--R                                   3x\|x
+--R                                                    Type: Expression(Integer)
+--E 435
+
+--S 436 of 518
+--a0083:= integrate(t0083,x)
+--E 436
+
+--S 437 of 518
+--m0083:= a0083-r0083
+--E 437
+
+--S 438 of 518
+--d0083:= D(m0083,x)
+--E 438
+
+--S 439 of 518
+t0084:= (a-b*x)^(5/2)/x^(5/2)
+--R 
+--R
+--R            2 2             2  +---------+
+--R          (b x  - 2a b x + a )\|- b x + a
+--R   (234)  --------------------------------
+--R                        2 +-+
+--R                       x \|x
+--R                                                    Type: Expression(Integer)
+--E 439
+
+--S 440 of 518
+r0084:= 5*b^2*x^(1/2)*(a-b*x)^(1/2)+10/3*b*(a-b*x)^(3/2)/x^(1/2)-_
+        2/3*(a-b*x)^(5/2)/x^(3/2)+_
+        5*a*b^(3/2)*atan(b^(1/2)*x^(1/2)/(a-b*x)^(1/2))
+--R 
+--R
+--R   (235)
+--R                          +-+ +-+
+--R           +-+ +-+       \|b \|x          2 2               2  +---------+
+--R   15a b x\|b \|x atan(------------) + (3b x  + 14a b x - 2a )\|- b x + a
+--R                        +---------+
+--R                       \|- b x + a
+--R   -----------------------------------------------------------------------
+--R                                       +-+
+--R                                    3x\|x
+--R                                                    Type: Expression(Integer)
+--E 440
+
+--S 441 of 518
+--a0084:= integrate(t0084,x)
+--E 441
+
+--S 442 of 518
+--m0084:= a0084-r0084
+--E 442
+
+--S 443 of 518
+--d0084:= D(m0084,x)
+--E 443
+
+--S 444 of 518
+t0085:= x^3/(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                    3
+--R                   x
+--R   (236)  --------------------
+--R           +-------+ +-------+
+--R          \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 444
+
+--S 445 of 518
+r0085:= -2/3*a*c*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^2/d^2+_
+        5/8*(b*c+a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d^3-_
+        5/12*(b*c+a*d)*x*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^2/d^2+_
+        1/3*x^2*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b/d+_
+        3/2*a*c*(b*c+a*d)*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/_
+        b^(5/2)/d^(5/2)-5/8*(b*c+a*d)^3*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(7/2)/d^(7/2)
+--R 
+--R
+--R   (237)
+--R                                                        +-+ +-------+
+--R             3 3     2     2       2 2       3 3       \|d \|b x + a
+--R       (- 15a d  - 9a b c d  - 9a b c d - 15b c )atanh(--------------)
+--R                                                        +-+ +-------+
+--R                                                       \|b \|d x + c
+--R     + 
+--R            2 2 2             2      2           2 2                  2 2  +-+
+--R         (8b d x  + (- 10a b d  - 10b c d)x + 15a d  + 14a b c d + 15b c )\|b
+--R      *
+--R          +-+ +-------+ +-------+
+--R         \|d \|b x + a \|d x + c
+--R  /
+--R        3 3 +-+ +-+
+--R     24b d \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 445
+
+--S 446 of 518
+--a0085:= integrate(t0085,x)
+--E 446
+
+--S 447 of 518
+--m0085:= a0085-r0085
+--E 447
+
+--S 448 of 518
+--d0085:= D(m0085,x)
+--E 448
+
+--S 449 of 518
+t0086:= x^2/(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                    2
+--R                   x
+--R   (238)  --------------------
+--R           +-------+ +-------+
+--R          \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 449
+
+--S 450 of 518
+r0086:= -3/4*(b*c+a*d)*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^2/d^2+_
+        1/2*x*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b/d-_
+        a*c*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(3/2)/_
+        d^(3/2)+3/4*(b*c+a*d)^2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(5/2)/d^(5/2)
+--R 
+--R
+--R   (239)
+--R                                        +-+ +-------+
+--R          2 2                2 2       \|d \|b x + a
+--R       (3a d  + 2a b c d + 3b c )atanh(--------------)
+--R                                        +-+ +-------+
+--R                                       \|b \|d x + c
+--R     + 
+--R                              +-+ +-+ +-------+ +-------+
+--R       (2b d x - 3a d - 3b c)\|b \|d \|b x + a \|d x + c
+--R  /
+--R       2 2 +-+ +-+
+--R     4b d \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 450
+
+--S 451 of 518
+--a0086:= integrate(t0086,x)
+--E 451
+
+--S 452 of 518
+--m0086:= a0086-r0086
+--E 452
+
+--S 453 of 518
+--d0086:= D(m0086,x)
+--E 453
+
+--S 454 of 518
+t0087:= x/(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                    x
+--R   (240)  --------------------
+--R           +-------+ +-------+
+--R          \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 454
+
+--S 455 of 518
+r0087:= (a+b*x)^(1/2)*(c+d*x)^(1/2)/b/d-_
+        (b*c+a*d)*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/_
+        b^(3/2)/d^(3/2)
+--R 
+--R
+--R                              +-+ +-------+
+--R                             \|d \|b x + a      +-+ +-+ +-------+ +-------+
+--R          (- a d - b c)atanh(--------------) + \|b \|d \|b x + a \|d x + c
+--R                              +-+ +-------+
+--R                             \|b \|d x + c
+--R   (241)  -----------------------------------------------------------------
+--R                                         +-+ +-+
+--R                                     b d\|b \|d
+--R                                                    Type: Expression(Integer)
+--E 455
+
+--S 456 of 518
+--a0087:= integrate(t0087,x)
+--E 456
+
+--S 457 of 518
+--m0087:= a0087-r0087
+--E 457
+
+--S 458 of 518
+--d0087:= D(m0087,x)
+--E 458
+
+--S 459 of 518
+t0088:= 1/(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                    1
+--R   (242)  --------------------
+--R           +-------+ +-------+
+--R          \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 459
+
+--S 460 of 518
+r0088:= 2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(1/2)/d^(1/2)
+--R 
+--R
+--R                  +-+ +-------+
+--R                 \|d \|b x + a
+--R          2atanh(--------------)
+--R                  +-+ +-------+
+--R                 \|b \|d x + c
+--R   (243)  ----------------------
+--R                  +-+ +-+
+--R                 \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 460
+
+--S 461 of 518
+--a0088:= integrate(t0088,x)
+--E 461
+
+--S 462 of 518
+--m0088:= a0088-r0088
+--E 462
+
+--S 463 of 518
+--d0088:= D(m0088,x)
+--E 463
+
+--S 464 of 518
+t0089:= 1/x/(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                    1
+--R   (244)  ---------------------
+--R            +-------+ +-------+
+--R          x\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 464
+
+--S 465 of 518
+r0089:= -2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(1/2)/c^(1/2)
+--R 
+--R
+--R                    +-+ +-------+
+--R                   \|c \|b x + a
+--R            2atanh(--------------)
+--R                    +-+ +-------+
+--R                   \|a \|d x + c
+--R   (245)  - ----------------------
+--R                    +-+ +-+
+--R                   \|a \|c
+--R                                                    Type: Expression(Integer)
+--E 465
+
+--S 466 of 518
+--a0089:= integrate(t0089,x)
+--E 466
+
+--S 467 of 518
+--m0089:= a0089-r0089
+--E 467
+
+--S 468 of 518
+--d0089:= D(m0089,x)
+--E 468
+
+--S 469 of 518
+t0090:= 1/x^2/(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                     1
+--R   (246)  ----------------------
+--R           2 +-------+ +-------+
+--R          x \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 469
+
+--S 470 of 518
+r0090:= -(a+b*x)^(1/2)*(c+d*x)^(1/2)/a/c/x+_
+        (b*c+a*d)*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/_
+        a^(3/2)/c^(3/2)
+--R 
+--R
+--R                              +-+ +-------+
+--R                             \|c \|b x + a      +-+ +-+ +-------+ +-------+
+--R          (a d + b c)x atanh(--------------) - \|a \|c \|b x + a \|d x + c
+--R                              +-+ +-------+
+--R                             \|a \|d x + c
+--R   (247)  -----------------------------------------------------------------
+--R                                          +-+ +-+
+--R                                    a c x\|a \|c
+--R                                                    Type: Expression(Integer)
+--E 470
+
+--S 471 of 518
+--a0090:= integrate(t0090,x)
+--E 471
+
+--S 472 of 518
+--m0090:= a0090-r0090
+--E 472
+
+--S 473 of 518
+--d0090:= D(m0090,x)
+--E 473
+
+--S 474 of 518
+t0091:= 1/x^3/(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                     1
+--R   (248)  ----------------------
+--R           3 +-------+ +-------+
+--R          x \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 474
+
+--S 475 of 518
+r0091:= -1/2*(a+b*x)^(1/2)*(c+d*x)^(1/2)/a/c/x^2+_
+        3/4*(b*c+a*d)*(a+b*x)^(1/2)*(c+d*x)^(1/2)/a^2/c^2/x+_
+        b*d*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(3/2)/_
+        c^(3/2)-3/4*(b*c+a*d)^2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/_
+        (c+d*x)^(1/2))/a^(5/2)/c^(5/2)
+--R 
+--R
+--R   (249)
+--R                                            +-+ +-------+
+--R            2 2                2 2  2      \|c \|b x + a
+--R       (- 3a d  - 2a b c d - 3b c )x atanh(--------------)
+--R                                            +-+ +-------+
+--R                                           \|a \|d x + c
+--R     + 
+--R                               +-+ +-+ +-------+ +-------+
+--R       ((3a d + 3b c)x - 2a c)\|a \|c \|b x + a \|d x + c
+--R  /
+--R       2 2 2 +-+ +-+
+--R     4a c x \|a \|c
+--R                                                    Type: Expression(Integer)
+--E 475
+
+--S 476 of 518
+--a0091:= integrate(t0091,x)
+--E 476
+
+--S 477 of 518
+--m0091:= a0091-r0091
+--E 477
+
+--S 478 of 518
+--d0091:= D(m0091,x)
+--E 478
+
+--S 479 of 518
+t0092:= x^3/(a+b*x)^(1/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                         3
+--R                        x
+--R   (250)  -----------------------------
+--R                    +-------+ +-------+
+--R          (d x + c)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 479
+
+--S 480 of 518
+r0092:= -2*c^3*(a+b*x)^(1/2)/d^3/(b*c-a*d)/(c+d*x)^(1/2)-_
+        7/4*c*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b/d^3-_
+        3/4*a*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^2/d^2+_
+        1/2*x*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b/d^2+_
+        3*c^2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(1/2)/_
+        d^(7/2)+3/4*(b*c+a*d)^2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(5/2)/d^(7/2)
+--R 
+--R
+--R   (251)
+--R                                                               +-+ +-------+
+--R          3 3     2     2       2 2       3 3  +-------+      \|d \|b x + a
+--R       (3a d  + 3a b c d  + 9a b c d - 15b c )\|d x + c atanh(--------------)
+--R                                                               +-+ +-------+
+--R                                                              \|b \|d x + c
+--R     + 
+--R                  3     2   2  2        2 3           2     2 2        2   2
+--R           (2a b d  - 2b c d )x  + (- 3a d  - 2a b c d  + 5b c d)x - 3a c d
+--R         + 
+--R                   2       2 3
+--R           - 4a b c d + 15b c
+--R      *
+--R          +-+ +-+ +-------+
+--R         \|b \|d \|b x + a
+--R  /
+--R          2 4     3   3  +-+ +-+ +-------+
+--R     (4a b d  - 4b c d )\|b \|d \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 480
+
+--S 481 of 518
+--a0092:= integrate(t0092,x)
+--E 481
+
+--S 482 of 518
+--m0092:= a0092-r0092
+--E 482
+
+--S 483 of 518
+--d0092:= D(m0092,x)
+--E 483
+
+--S 484 of 518
+t0093:= x^2/(a+b*x)^(1/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                         2
+--R                        x
+--R   (252)  -----------------------------
+--R                    +-------+ +-------+
+--R          (d x + c)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 484
+
+--S 485 of 518
+r0093:= 2*c^2*(a+b*x)^(1/2)/d^2/(b*c-a*d)/(c+d*x)^(1/2)+_
+        (a+b*x)^(1/2)*(c+d*x)^(1/2)/b/d^2-_
+        3*c*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(1/2)/_
+        d^(5/2)-a*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/_
+        b^(3/2)/d^(3/2)
+--R 
+--R
+--R   (253)
+--R                                                   +-+ +-------+
+--R           2 2                2 2  +-------+      \|d \|b x + a
+--R       (- a d  - 2a b c d + 3b c )\|d x + c atanh(--------------)
+--R                                                   +-+ +-------+
+--R                                                  \|b \|d x + c
+--R     + 
+--R            2                         2  +-+ +-+ +-------+
+--R       ((a d  - b c d)x + a c d - 3b c )\|b \|d \|b x + a
+--R  /
+--R           3    2   2  +-+ +-+ +-------+
+--R     (a b d  - b c d )\|b \|d \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 485
+
+--S 486 of 518
+--a0093:= integrate(t0093,x)
+--E 486
+
+--S 487 of 518
+--m0093:= a0093-r0093
+--E 487
+
+--S 488 of 518
+--d0093:= D(m0093,x)
+--E 488
+
+--S 489 of 518
+t0094:= x/(a+b*x)^(1/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                        x
+--R   (254)  -----------------------------
+--R                    +-------+ +-------+
+--R          (d x + c)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 489
+
+--S 490 of 518
+r0094:= -2*c*(a+b*x)^(1/2)/d/(b*c-a*d)/(c+d*x)^(1/2)+_
+        2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(1/2)/d^(3/2)
+--R 
+--R
+--R                                        +-+ +-------+
+--R                        +-------+      \|d \|b x + a        +-+ +-+ +-------+
+--R          (2a d - 2b c)\|d x + c atanh(--------------) + 2c\|b \|d \|b x + a
+--R                                        +-+ +-------+
+--R                                       \|b \|d x + c
+--R   (255)  -------------------------------------------------------------------
+--R                                2          +-+ +-+ +-------+
+--R                            (a d  - b c d)\|b \|d \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 490
+
+--S 491 of 518
+--a0094:= integrate(t0094,x)
+--E 491
+
+--S 492 of 518
+--m0094:= a0094-r0094
+--E 492
+
+--S 493 of 518
+--d0094:= D(m0094,x)
+--E 493
+
+--S 494 of 518
+t0095:= 1/x/(a+b*x)^(1/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                          1
+--R   (256)  --------------------------------
+--R              2        +-------+ +-------+
+--R          (d x  + c x)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 494
+
+--S 495 of 518
+r0095:= -2*d*(a+b*x)^(1/2)/c/(b*c-a*d)/(c+d*x)^(1/2)-_
+        2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(1/2)/c^(3/2)
+--R 
+--R
+--R   (257)
+--R                                   +-+ +-------+
+--R                   +-------+      \|c \|b x + a        +-+ +-+ +-------+
+--R   (- 2a d + 2b c)\|d x + c atanh(--------------) + 2d\|a \|c \|b x + a
+--R                                   +-+ +-------+
+--R                                  \|a \|d x + c
+--R   ---------------------------------------------------------------------
+--R                                  2  +-+ +-+ +-------+
+--R                      (a c d - b c )\|a \|c \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 495
+
+--S 496 of 518
+--a0095:= integrate(t0095,x)
+--E 496
+
+--S 497 of 518
+--m0095:= a0095-r0095
+--E 497
+
+--S 498 of 518
+--d0095:= D(m0095,x)
+--E 498
+
+--S 499 of 518
+t0096:= 1/x^2/(a+b*x)^(1/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                          1
+--R   (258)  ---------------------------------
+--R              3      2  +-------+ +-------+
+--R          (d x  + c x )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 499
+
+--S 500 of 518
+r0096:= 2*d^2*(a+b*x)^(1/2)/c^2/(b*c-a*d)/(c+d*x)^(1/2)-_
+        (a+b*x)^(1/2)*(c+d*x)^(1/2)/a/c^2/x+_
+        b*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(3/2)/c^(3/2)+_
+        3*d*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(1/2)/c^(5/2)
+--R 
+--R
+--R   (259)
+--R                                                  +-+ +-------+
+--R          2 2               2 2   +-------+      \|c \|b x + a
+--R       (3a d  - 2a b c d - b c )x\|d x + c atanh(--------------)
+--R                                                  +-+ +-------+
+--R                                                 \|a \|d x + c
+--R     + 
+--R               2                        2  +-+ +-+ +-------+
+--R       ((- 3a d  + b c d)x - a c d + b c )\|a \|c \|b x + a
+--R  /
+--R       2 2         3   +-+ +-+ +-------+
+--R     (a c d - a b c )x\|a \|c \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 500
+
+--S 501 of 518
+--a0096:= integrate(t0096,x)
+--E 501
+
+--S 502 of 518
+--m0096:= a0096-r0096
+--E 502
+
+--S 503 of 518
+--d0096:= D(m0096,x)
+--E 503
+
+--S 504 of 518
+t0097:= 1/x^3/(a+b*x)^(1/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                          1
+--R   (260)  ---------------------------------
+--R              4      3  +-------+ +-------+
+--R          (d x  + c x )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 504
+
+--S 505 of 518
+r0097:= -2*d^3*(a+b*x)^(1/2)/c^3/(b*c-a*d)/(c+d*x)^(1/2)-_
+        1/2*(a+b*x)^(1/2)*(c+d*x)^(1/2)/a/c^2/x^2+_
+        3/4*b*(a+b*x)^(1/2)*(c+d*x)^(1/2)/a^2/c^2/x+_
+        7/4*d*(a+b*x)^(1/2)*(c+d*x)^(1/2)/a/c^3/x-_
+        3*d^2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(1/2)/_
+        c^(7/2)-3/4*(b*c+a*d)^2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/_
+        (c+d*x)^(1/2))/a^(5/2)/c^(7/2)
+--R 
+--R
+--R   (261)
+--R               3 3     2     2       2 2      3 3  2 +-------+
+--R         (- 15a d  + 9a b c d  + 3a b c d + 3b c )x \|d x + c
+--R      *
+--R                +-+ +-------+
+--R               \|c \|b x + a
+--R         atanh(--------------)
+--R                +-+ +-------+
+--R               \|a \|d x + c
+--R     + 
+--R               2 3           2     2 2   2      2   2         2      2 3
+--R           (15a d  - 4a b c d  - 3b c d)x  + (5a c d  - 2a b c d - 3b c )x
+--R         + 
+--R               2 2          3
+--R           - 2a c d + 2a b c
+--R      *
+--R          +-+ +-+ +-------+
+--R         \|a \|c \|b x + a
+--R  /
+--R        3 3      2   4  2 +-+ +-+ +-------+
+--R     (4a c d - 4a b c )x \|a \|c \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 505
+
+--S 506 of 518
+--a0097:= integrate(t0097,x)
+--E 506
+
+--S 507 of 518
+--m0097:= a0097-r0097
+--E 507
+
+--S 508 of 518
+--d0097:= D(m0097,x)
+--E 508
+
+--S 509 of 518
+t0098:= x^5/(a+b*x)^(1/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R                              5
+--R                             x
+--R   (262)  ----------------------------------------
+--R            2 2             2  +-------+ +-------+
+--R          (d x  + 2c d x + c )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 509
+
+--S 510 of 518
+r0098:= -2/3*a^5*(a+b*x)^(1/2)/b^5/(b*c-a*d)/(c+d*x)^(3/2)+_
+        20/3*a^3*(a+b*x)^(3/2)/b^5/d/(c+d*x)^(3/2)+_
+        10/3*a^4*(a+b*x)^(3/2)/b^5/(b*c-a*d)/(c+d*x)^(3/2)-_
+        20/3*a^2*(a+b*x)^(5/2)/b^5/d/(c+d*x)^(3/2)+_
+        10/3*a*(a+b*x)^(7/2)/b^5/d/(c+d*x)^(3/2)-_
+        2/3*(a+b*x)^(9/2)/b^5/d/(c+d*x)^(3/2)+_
+        20*a^3*(a+b*x)^(1/2)/b^4/d^2/(c+d*x)^(1/2)-_
+        4/3*a^5*(a+b*x)^(1/2)/b^4/(b*c-a*d)^2/(c+d*x)^(1/2)-_
+        100/3*a^2*(a+b*x)^(3/2)/b^4/d^2/(c+d*x)^(1/2)+_
+        70/3*a*(a+b*x)^(5/2)/b^4/d^2/(c+d*x)^(1/2)-_
+        6*(a+b*x)^(7/2)/b^4/d^2/(c+d*x)^(1/2)+_
+        50*a^2*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d^3+_
+        175/4*a*(b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d^4+_
+        105/8*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d^5-_
+        175/6*a*(a+b*x)^(3/2)*(c+d*x)^(1/2)/b^3/d^3-_
+        35/4*(b*c-a*d)*(a+b*x)^(3/2)*(c+d*x)^(1/2)/b^3/d^4+_
+        7*(a+b*x)^(5/2)*(c+d*x)^(1/2)/b^3/d^3-_
+        20*a^3*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(7/2)/_
+        d^(5/2)-50*a^2*(b*c-a*d)*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(7/2)/d^(7/2)-_
+        175/4*a*(b*c-a*d)^2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(7/2)/d^(9/2)-_
+        105/8*(b*c-a*d)^3*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(7/2)/d^(11/2)
+--R 
+--R
+--R   (263)
+--R                    5 6      4     5      3 2 2 4       2 3 3 3         4 4 2
+--R               - 15a d  - 15a b c d  - 30a b c d  - 150a b c d  + 525a b c d
+--R             + 
+--R                     5 5
+--R               - 315b c d
+--R          *
+--R             x
+--R         + 
+--R                5   5      4   2 4      3 2 3 3       2 3 4 2         4 5
+--R           - 15a c d  - 15a b c d  - 30a b c d  - 150a b c d  + 525a b c d
+--R         + 
+--R                 5 6
+--R           - 315b c
+--R      *
+--R                          +-+ +-------+
+--R          +-------+      \|d \|b x + a
+--R         \|d x + c atanh(--------------)
+--R                          +-+ +-------+
+--R                         \|b \|d x + c
+--R     + 
+--R              2 2 6        3   5     4 2 4  4
+--R           (8a b d  - 16a b c d  + 8b c d )x
+--R         + 
+--R                 3   6     2 2   5        3 2 4      4 3 3  3
+--R           (- 10a b d  + 2a b c d  + 26a b c d  - 18b c d )x
+--R         + 
+--R               4 6      2 2 2 4        3 3 3      4 4 2  2
+--R           (15a d  + 18a b c d  - 96a b c d  + 63b c d )x
+--R         + 
+--R               4   5      3   2 4      2 2 3 3         3 4 2       4 5
+--R           (30a c d  + 30a b c d  + 62a b c d  - 574a b c d  + 420b c d)x
+--R         + 
+--R              4 2 4      3   3 3      2 2 4 2         3 5        4 6
+--R           15a c d  + 20a b c d  + 38a b c d  - 420a b c d + 315b c
+--R      *
+--R          +-+ +-+ +-------+
+--R         \|b \|d \|b x + a
+--R  /
+--R               2 3 8        4   7      5 2 6        2 3   7        4 2 6
+--R           (24a b d  - 48a b c d  + 24b c d )x + 24a b c d  - 48a b c d
+--R         + 
+--R              5 3 5
+--R           24b c d
+--R    *
+--R        +-+ +-+ +-------+
+--R       \|b \|d \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 510
+
+--S 511 of 518
+--a0098:= integrate(t0098,x)
+--E 511
+
+--S 512 of 518
+--m0098:= a0098-r0098
+--E 512
+
+--S 513 of 518
+--d0098:= D(m0098,x)
+--E 513
+
+--S 514 of 518
+t0099:= x^4/(a+b*x)^(1/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R                              4
+--R                             x
+--R   (264)  ----------------------------------------
+--R            2 2             2  +-------+ +-------+
+--R          (d x  + 2c d x + c )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 514
+
+--S 515 of 518
+r0099:= 2/3*a^4*(a+b*x)^(1/2)/b^4/(b*c-a*d)/(c+d*x)^(3/2)-_
+        4*a^2*(a+b*x)^(3/2)/b^4/d/(c+d*x)^(3/2)-8/3*a^3*(a+b*x)^(3/2)/_
+        b^4/(b*c-a*d)/(c+d*x)^(3/2)+8/3*a*(a+b*x)^(5/2)/b^4/d/(c+d*x)^(3/2)-_
+        2/3*(a+b*x)^(7/2)/b^4/d/(c+d*x)^(3/2)-_
+        12*a^2*(a+b*x)^(1/2)/b^3/d^2/(c+d*x)^(1/2)+4/3*a^4*(a+b*x)^(1/2)/_
+        b^3/(b*c-a*d)^2/(c+d*x)^(1/2)+40/3*a*(a+b*x)^(3/2)/b^3/d^2/_
+        (c+d*x)^(1/2)-14/3*(a+b*x)^(5/2)/b^3/d^2/(c+d*x)^(1/2)-_
+        20*a*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^2/d^3-35/4*(b*c-a*d)*_
+        (a+b*x)^(1/2)*(c+d*x)^(1/2)/b^2/d^4+_
+        35/6*(a+b*x)^(3/2)*(c+d*x)^(1/2)/b^2/d^3+_
+        12*a^2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(5/2)/_
+        d^(5/2)+20*a*(b*c-a*d)*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(5/2)/d^(7/2)+35/4*(b*c-a*d)^2*atanh(d^(1/2)*_
+        (a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(5/2)/d^(9/2)
+--R 
+--R
+--R   (265)
+--R              4 5      3     4      2 2 2 3         3 3 2       4 4        4   4
+--R           (9a d  + 12a b c d  + 54a b c d  - 180a b c d  + 105b c d)x + 9a c d
+--R         + 
+--R              3   2 3      2 2 3 2         3 4        4 5
+--R           12a b c d  + 54a b c d  - 180a b c d + 105b c
+--R      *
+--R                          +-+ +-------+
+--R          +-------+      \|d \|b x + a
+--R         \|d x + c atanh(--------------)
+--R                          +-+ +-------+
+--R                         \|b \|d x + c
+--R     + 
+--R              2   5        2   4     3 2 3  3
+--R           (6a b d  - 12a b c d  + 6b c d )x
+--R         + 
+--R                3 5     2     4        2 2 3      3 3 2  2
+--R           (- 9a d  - 3a b c d  + 33a b c d  - 21b c d )x
+--R         + 
+--R                 3   4      2   2 3         2 3 2       3 4        3 2 3
+--R           (- 18a c d  - 24a b c d  + 198a b c d  - 140b c d)x - 9a c d
+--R         + 
+--R                2   3 2         2 4        3 5
+--R           - 15a b c d  + 145a b c d - 105b c
+--R      *
+--R          +-+ +-+ +-------+
+--R         \|b \|d \|b x + a
+--R  /
+--R               2 2 7        3   6      4 2 5        2 2   6        3 2 5
+--R           (12a b d  - 24a b c d  + 12b c d )x + 12a b c d  - 24a b c d
+--R         + 
+--R              4 3 4
+--R           12b c d
+--R    *
+--R        +-+ +-+ +-------+
+--R       \|b \|d \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 515
+
+--S 516 of 518
+--a0099:= integrate(t0099,x)
+--E 516
+
+--S 517 of 518
+--m0099:= a0099-r0099
+--E 517
+
+--S 518 of 518
+--d0099:= D(m0099,x)
+--E 518
+
+)spool
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1}
+Rich, Albert D. ``Rule-based Mathematics'' \verb|www.apmaths.uwo.ca/~arich|
+\end{thebibliography}
+\end{document}
diff --git a/src/axiom-website/CATS/richalgebraic000-099.input.pdf b/src/axiom-website/CATS/richalgebraic000-099.input.pdf
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diff --git a/src/axiom-website/CATS/richalgebraic100-199.input.pamphlet b/src/axiom-website/CATS/richalgebraic100-199.input.pamphlet
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+++ b/src/axiom-website/CATS/richalgebraic100-199.input.pamphlet
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+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input richalgebraic100-199.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f richalgebraic100-199.output
+)spool richalgebraic100-199.output
+)set message test on
+)set message auto off
+)clear all
+ 
+--S 1 of 512
+t0100:= x^3/(a+b*x)^(1/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R                            3
+--R                           x
+--R   (1)  ----------------------------------------
+--R          2 2             2  +-------+ +-------+
+--R        (d x  + 2c d x + c )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 1
+
+--S 2 of 512
+r0100:= -2/3*c^3*(a+b*x)^(1/2)/d^3/(b*c-a*d)/(c+d*x)^(3/2)-_
+        4/3*b*c^3*(a+b*x)^(1/2)/d^3/(b*c-a*d)^2/(c+d*x)^(1/2)+_
+        6*c^2*(a+b*x)^(1/2)/d^3/(b*c-a*d)/(c+d*x)^(1/2)+(a+b*x)^(1/2)*_
+        (c+d*x)^(1/2)/b/d^3-5*c*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(1/2)/d^(7/2)-a*atanh(d^(1/2)*(a+b*x)^(1/2)/_
+        b^(1/2)/(c+d*x)^(1/2))/b^(3/2)/d^(5/2)
+--R 
+--R
+--R   (2)
+--R                3 4     2     3        2 2 2      3 3        3   3     2   2 2
+--R           (- 3a d  - 9a b c d  + 27a b c d  - 15b c d)x - 3a c d  - 9a b c d
+--R         + 
+--R                2 3       3 4
+--R           27a b c d - 15b c
+--R      *
+--R                          +-+ +-------+
+--R          +-------+      \|d \|b x + a
+--R         \|d x + c atanh(--------------)
+--R                          +-+ +-------+
+--R                         \|b \|d x + c
+--R     + 
+--R              2 4           3     2 2 2  2      2   3          2 2      2 3
+--R           (3a d  - 6a b c d  + 3b c d )x  + (6a c d  - 30a b c d  + 20b c d)x
+--R         + 
+--R             2 2 2          3       2 4
+--R           3a c d  - 22a b c d + 15b c
+--R      *
+--R          +-+ +-+ +-------+
+--R         \|b \|d \|b x + a
+--R  /
+--R           2   6       2   5     3 2 4       2     5       2 2 4     3 3 3  +-+
+--R       ((3a b d  - 6a b c d  + 3b c d )x + 3a b c d  - 6a b c d  + 3b c d )\|b
+--R    *
+--R        +-+ +-------+
+--R       \|d \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 2
+
+--S 3 of 512
+--a0100:= integrate(t0100,x)
+--E 3
+
+--S 4 of 512
+--m0100:= a0100-r0100
+--E 4
+
+--S 5 of 512
+--d0100:= D(m0100,x)
+--E 5
+
+--S 6 of 512
+t0101:= x^2/(a+b*x)^(1/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R                            2
+--R                           x
+--R   (3)  ----------------------------------------
+--R          2 2             2  +-------+ +-------+
+--R        (d x  + 2c d x + c )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 6
+
+--S 7 of 512
+r0101:= 2/3*c^2*(a+b*x)^(1/2)/d^2/(b*c-a*d)/(c+d*x)^(3/2)+_
+        4/3*b*c^2*(a+b*x)^(1/2)/d^2/(b*c-a*d)^2/(c+d*x)^(1/2)-_
+        4*c*(a+b*x)^(1/2)/d^2/(b*c-a*d)/(c+d*x)^(1/2)+_
+        2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(1/2)/d^(5/2)
+--R 
+--R
+--R   (4)
+--R             2 3            2     2 2        2   2          2      2 3
+--R         ((6a d  - 12a b c d  + 6b c d)x + 6a c d  - 12a b c d + 6b c )
+--R      *
+--R                          +-+ +-------+
+--R          +-------+      \|d \|b x + a
+--R         \|d x + c atanh(--------------)
+--R                          +-+ +-------+
+--R                         \|b \|d x + c
+--R     + 
+--R                2       2           2        3  +-+ +-+ +-------+
+--R       ((12a c d  - 8b c d)x + 10a c d - 6b c )\|b \|d \|b x + a
+--R  /
+--R           2 5           4     2 2 3       2   4         2 3     2 3 2  +-+ +-+
+--R       ((3a d  - 6a b c d  + 3b c d )x + 3a c d  - 6a b c d  + 3b c d )\|b \|d
+--R    *
+--R        +-------+
+--R       \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 7
+
+--S 8 of 512
+--a0101:= integrate(t0101,x)
+--E 8
+
+--S 9 of 512
+--m0101:= a0101-r0101
+--E 9
+
+--S 10 of 512
+--d0101:= D(m0101,x)
+--E 10
+
+--S 11 of 512
+t0102:= 1/x/(a+b*x)^(1/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R                             1
+--R   (5)  ------------------------------------------
+--R          2 3         2    2   +-------+ +-------+
+--R        (d x  + 2c d x  + c x)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 11
+
+--S 12 of 512
+r0102:= -2/3*d*(a+b*x)^(1/2)/c/(b*c-a*d)/(c+d*x)^(3/2)-_
+        4/3*b*d*(a+b*x)^(1/2)/c/(b*c-a*d)^2/(c+d*x)^(1/2)-_
+        2*d*(a+b*x)^(1/2)/c^2/(b*c-a*d)/(c+d*x)^(1/2)-_
+        2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(1/2)/c^(5/2)
+--R 
+--R
+--R   (6)
+--R               2 3            2     2 2        2   2          2      2 3
+--R         ((- 6a d  + 12a b c d  - 6b c d)x - 6a c d  + 12a b c d - 6b c )
+--R      *
+--R                          +-+ +-------+
+--R          +-------+      \|c \|b x + a
+--R         \|d x + c atanh(--------------)
+--R                          +-+ +-------+
+--R                         \|a \|d x + c
+--R     + 
+--R             3          2           2        2   +-+ +-+ +-------+
+--R       ((6a d  - 10b c d )x + 8a c d  - 12b c d)\|a \|c \|b x + a
+--R  /
+--R           2 2 3         3 2     2 4        2 3 2         4      2 5  +-+ +-+
+--R       ((3a c d  - 6a b c d  + 3b c d)x + 3a c d  - 6a b c d + 3b c )\|a \|c
+--R    *
+--R        +-------+
+--R       \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 12
+
+--S 13 of 512
+--a0102:= integrate(t0102,x)
+--E 13
+
+--S 14 of 512
+--m0102:= a0102-r0102
+--E 14
+
+--S 15 of 512
+--d0102:= D(m0102,x)
+--E 15
+
+--S 16 of 512
+t0103:= 1/x^2/(a+b*x)^(1/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R                             1
+--R   (7)  -------------------------------------------
+--R          2 4         3    2 2  +-------+ +-------+
+--R        (d x  + 2c d x  + c x )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 16
+
+--S 17 of 512
+r0103:= 2/3*d^2*(a+b*x)^(1/2)/c^2/(b*c-a*d)/(c+d*x)^(3/2)+_
+        4/3*b*d^2*(a+b*x)^(1/2)/c^2/(b*c-a*d)^2/(c+d*x)^(1/2)+_
+        4*d^2*(a+b*x)^(1/2)/c^3/(b*c-a*d)/(c+d*x)^(1/2)-_
+        (a+b*x)^(1/2)*(c+d*x)^(1/2)/a/c^3/x+_
+        b*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(3/2)/c^(5/2)+_
+        5*d*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(1/2)/c^(7/2)
+--R 
+--R
+--R   (8)
+--R               3 4      2     3       2 2 2     3 3   2
+--R           (15a d  - 27a b c d  + 9a b c d  + 3b c d)x
+--R         + 
+--R               3   3      2   2 2       2 3      3 4
+--R           (15a c d  - 27a b c d  + 9a b c d + 3b c )x
+--R      *
+--R                          +-+ +-------+
+--R          +-------+      \|c \|b x + a
+--R         \|d x + c atanh(--------------)
+--R                          +-+ +-------+
+--R                         \|a \|d x + c
+--R     + 
+--R                 2 4            3     2 2 2  2
+--R           (- 15a d  + 22a b c d  - 3b c d )x
+--R         + 
+--R                 2   3          2 2     2 3        2 2 2         3      2 4
+--R           (- 20a c d  + 30a b c d  - 6b c d)x - 3a c d  + 6a b c d - 3b c
+--R      *
+--R          +-+ +-+ +-------+
+--R         \|a \|c \|b x + a
+--R  /
+--R           3 3 3     2   4 2       2 5   2      3 4 2     2   5        2 6
+--R       ((3a c d  - 6a b c d  + 3a b c d)x  + (3a c d  - 6a b c d + 3a b c )x)
+--R    *
+--R        +-+ +-+ +-------+
+--R       \|a \|c \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 17
+
+--S 18 of 512
+--a0103:= integrate(t0103,x)
+--E 18
+
+--S 19 of 512
+--m0103:= a0103-r0103
+--E 19
+
+--S 20 of 512
+--d0103:= D(m0103,x)
+--E 20
+
+--S 21 of 512
+t0104:= 1/x^3/(a+b*x)^(1/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R                             1
+--R   (9)  -------------------------------------------
+--R          2 5         4    2 3  +-------+ +-------+
+--R        (d x  + 2c d x  + c x )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 21
+
+--S 22 of 512
+r0104:= -2/3*d^3*(a+b*x)^(1/2)/c^3/(b*c-a*d)/(c+d*x)^(3/2)-_
+        4/3*b*d^3*(a+b*x)^(1/2)/c^3/(b*c-a*d)^2/(c+d*x)^(1/2)-_
+        6*d^3*(a+b*x)^(1/2)/c^4/(b*c-a*d)/(c+d*x)^(1/2)-_
+        1/2*(a+b*x)^(1/2)*(c+d*x)^(1/2)/a/c^3/x^2+3/4*b*(a+b*x)^(1/2)*_
+        (c+d*x)^(1/2)/a^2/c^3/x+11/4*d*(a+b*x)^(1/2)*(c+d*x)^(1/2)/a/c^4/x-_
+        b*d*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(3/2)/_
+        c^(7/2)-8*d^2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/_
+        a^(1/2)/c^(9/2)-3/4*(b*c+a*d)^2*atanh(c^(1/2)*(a+b*x)^(1/2)/_
+        a^(1/2)/(c+d*x)^(1/2))/a^(5/2)/c^(9/2)
+--R 
+--R
+--R   (10)
+--R                  4 5       3     4      2 2 2 3        3 3 2     4 4   3
+--R           (- 105a d  + 180a b c d  - 54a b c d  - 12a b c d  - 9b c d)x
+--R         + 
+--R                  4   4       3   2 3      2 2 3 2        3 4      4 5  2
+--R           (- 105a c d  + 180a b c d  - 54a b c d  - 12a b c d - 9b c )x
+--R      *
+--R                          +-+ +-------+
+--R          +-------+      \|c \|b x + a
+--R         \|d x + c atanh(--------------)
+--R                          +-+ +-------+
+--R                         \|a \|d x + c
+--R     + 
+--R                3 5       2     4        2 2 3     3 3 2  3
+--R           (105a d  - 145a b c d  + 15a b c d  + 9b c d )x
+--R         + 
+--R                3   4       2   2 3        2 3 2      3 4   2
+--R           (140a c d  - 198a b c d  + 24a b c d  + 18b c d)x
+--R         + 
+--R               3 2 3      2   3 2       2 4      3 5       3 3 2      2   4
+--R           (21a c d  - 33a b c d  + 3a b c d + 9b c )x - 6a c d  + 12a b c d
+--R         + 
+--R                 2 5
+--R           - 6a b c
+--R      *
+--R          +-+ +-+ +-------+
+--R         \|a \|c \|b x + a
+--R  /
+--R             4 4 3      3   5 2      2 2 6   3
+--R         (12a c d  - 24a b c d  + 12a b c d)x
+--R       + 
+--R             4 5 2      3   6       2 2 7  2
+--R         (12a c d  - 24a b c d + 12a b c )x
+--R    *
+--R        +-+ +-+ +-------+
+--R       \|a \|c \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 22
+
+--S 23 of 512
+--a0104:= integrate(t0104,x)
+--E 23
+
+--S 24 of 512
+--m0104:= a0104-r0104
+--E 24
+
+--S 25 of 512
+--d0104:= D(m0104,x)
+--E 25
+
+--S 26 of 512
+t0105:= x^3/(a+b*x)^(3/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                                  3
+--R                                 x
+--R   (11)  -------------------------------------------------
+--R               2                       +-------+ +-------+
+--R         (b d x  + (a d + b c)x + a c)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 26
+
+--S 27 of 512
+r0105:= 2*a*c/b^2/d^2/(a+b*x)^(1/2)/(c+d*x)^(1/2)+_
+        2*a*c*(b*c+a*d)/b^2/d^2/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)-_
+        3/4*(b*c+a*d)^2/b^3/d^3/(a+b*x)^(1/2)/(c+d*x)^(1/2)-_
+        3/4*(b*c+a*d)^3/b^3/d^3/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)+_
+        3/2*(b*c+a*d)*x/b^2/d^2/(a+b*x)^(1/2)/(c+d*x)^(1/2)+x^2/b/d/_
+        (a+b*x)^(1/2)/(c+d*x)^(1/2)-4*a*c*(b*c+a*d)*(c+d*x)^(1/2)/b/d^2/_
+        (b*c-a*d)^2/(a+b*x)^(1/2)+3/2*(b*c+a*d)^3*(c+d*x)^(1/2)/b^2/d^3/_
+        (b*c-a*d)^2/(a+b*x)^(1/2)-3*(b*c+a*d)*atanh(d^(1/2)*(a+b*x)^(1/2)/_
+        b^(1/2)/(c+d*x)^(1/2))/b^(5/2)/d^(5/2)
+--R 
+--R
+--R   (12)
+--R              3 3     2     2       2 2      3 3  +-------+ +-------+
+--R         (- 3a d  + 3a b c d  + 3a b c d - 3b c )\|b x + a \|d x + c
+--R      *
+--R                +-+ +-------+
+--R               \|d \|b x + a
+--R         atanh(--------------)
+--R                +-+ +-------+
+--R               \|b \|d x + c
+--R     + 
+--R             2   3       2   2    3 2   2
+--R           (a b d  - 2a b c d  + b c d)x
+--R         + 
+--R              3 3    2     2      2 2      3 3       3   2     2   2        2 3
+--R           (3a d  - a b c d  - a b c d + 3b c )x + 3a c d  - 2a b c d + 3a b c
+--R      *
+--R          +-+ +-+
+--R         \|b \|d
+--R  /
+--R       2 2 4       3   3    4 2 2  +-+ +-+ +-------+ +-------+
+--R     (a b d  - 2a b c d  + b c d )\|b \|d \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 27
+
+--S 28 of 512
+--a0105:= integrate(t0105,x)
+--E 28
+
+--S 29 of 512
+--m0105:= a0105-r0105
+--E 29
+
+--S 30 of 512
+--d0105:= D(m0105,x)
+--E 30
+
+--S 31 of 512
+t0106:= x^2/(a+b*x)^(3/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                                  2
+--R                                 x
+--R   (13)  -------------------------------------------------
+--R               2                       +-------+ +-------+
+--R         (b d x  + (a d + b c)x + a c)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 31
+
+--S 32 of 512
+r0106:= 1/2*(b*c+a*d)/b^2/d^2/(a+b*x)^(1/2)/(c+d*x)^(1/2)+_
+        1/2*(b*c+a*d)^2/b^2/d^2/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)-_
+        x/b/d/(a+b*x)^(1/2)/(c+d*x)^(1/2)-(b*c+a*d)^2*(c+d*x)^(1/2)/b/d^2/_
+        (b*c-a*d)^2/(a+b*x)^(1/2)+2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(3/2)/d^(3/2)
+--R 
+--R
+--R   (14)
+--R                                                            +-+ +-------+
+--R          2 2                2 2  +-------+ +-------+      \|d \|b x + a
+--R       (2a d  - 4a b c d + 2b c )\|b x + a \|d x + c atanh(--------------)
+--R                                                            +-+ +-------+
+--R                                                           \|b \|d x + c
+--R     + 
+--R             2 2     2 2       2            2  +-+ +-+
+--R       ((- 2a d  - 2b c )x - 2a c d - 2a b c )\|b \|d
+--R  /
+--R       2   3       2   2    3 2   +-+ +-+ +-------+ +-------+
+--R     (a b d  - 2a b c d  + b c d)\|b \|d \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 32
+
+--S 33 of 512
+--a0106:= integrate(t0106,x)
+--E 33
+
+--S 34 of 512
+--m0106:= a0106-r0106
+--E 34
+
+--S 35 of 512
+--d0106:= D(m0106,x)
+--E 35
+
+--S 36 of 512
+t0107:= 1/x/(a+b*x)^(3/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                                   1
+--R   (15)  ----------------------------------------------------
+--R               3               2          +-------+ +-------+
+--R         (b d x  + (a d + b c)x  + a c x)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 36
+
+--S 37 of 512
+r0107:= 1/a/c/(a+b*x)^(1/2)/(c+d*x)^(1/2)-(b*c+a*d)/a/c/(b*c-a*d)/_
+        (a+b*x)^(1/2)/(c+d*x)^(1/2)+2*b*(b*c+a*d)*(c+d*x)^(1/2)/a/c/_
+        (b*c-a*d)^2/(a+b*x)^(1/2)-2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/_
+        (c+d*x)^(1/2))/a^(3/2)/c^(3/2)
+--R 
+--R
+--R   (16)
+--R                                                              +-+ +-------+
+--R            2 2                2 2  +-------+ +-------+      \|c \|b x + a
+--R       (- 2a d  + 4a b c d - 2b c )\|b x + a \|d x + c atanh(--------------)
+--R                                                              +-+ +-------+
+--R                                                             \|a \|d x + c
+--R     + 
+--R               2     2          2 2     2 2  +-+ +-+
+--R       ((2a b d  + 2b c d)x + 2a d  + 2b c )\|a \|c
+--R  /
+--R       3   2     2   2       2 3  +-+ +-+ +-------+ +-------+
+--R     (a c d  - 2a b c d + a b c )\|a \|c \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 37
+
+--S 38 of 512
+--a0107:= integrate(t0107,x)
+--E 38
+
+--S 39 of 512
+--m0107:= a0107-r0107
+--E 39
+
+--S 40 of 512
+--d0107:= D(m0107,x)
+--E 40
+
+--S 41 of 512
+t0108:= 1/x^2/(a+b*x)^(3/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                                   1
+--R   (17)  -----------------------------------------------------
+--R               4               3        2  +-------+ +-------+
+--R         (b d x  + (a d + b c)x  + a c x )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 41
+
+--S 42 of 512
+r0108:= -4*b*d/a/c/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)-3/2*(b*c+a*d)/_
+        a^2/c^2/(a+b*x)^(1/2)/(c+d*x)^(1/2)+3/2*(b*c+a*d)^2/a^2/c^2/_
+        (b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)-1/a/c/x/(a+b*x)^(1/2)/_
+        (c+d*x)^(1/2)+8*b^2*d*(c+d*x)^(1/2)/a/c/(b*c-a*d)^2/(a+b*x)^(1/2)-_
+        3*b*(b*c+a*d)^2*(c+d*x)^(1/2)/a^2/c^2/(b*c-a*d)^2/(a+b*x)^(1/2)+_
+        3*(b*c+a*d)*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/_
+        a^(5/2)/c^(5/2)
+--R 
+--R
+--R   (18)
+--R            3 3     2     2       2 2      3 3   +-------+ +-------+
+--R         (3a d  - 3a b c d  - 3a b c d + 3b c )x\|b x + a \|d x + c
+--R      *
+--R                +-+ +-------+
+--R               \|c \|b x + a
+--R         atanh(--------------)
+--R                +-+ +-------+
+--R               \|a \|d x + c
+--R     + 
+--R                2   3       2   2     3 2   2
+--R           (- 3a b d  + 2a b c d  - 3b c d)x
+--R         + 
+--R                3 3    2     2      2 2      3 3      3   2     2   2       2 3
+--R           (- 3a d  + a b c d  + a b c d - 3b c )x - a c d  + 2a b c d - a b c
+--R      *
+--R          +-+ +-+
+--R         \|a \|c
+--R  /
+--R       4 2 2     3   3     2 2 4   +-+ +-+ +-------+ +-------+
+--R     (a c d  - 2a b c d + a b c )x\|a \|c \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 42
+
+--S 43 of 512
+--a0108:= integrate(t0108,x)
+--E 43
+
+--S 44 of 512
+--m0108:= a0108-r0108
+--E 44
+
+--S 45 of 512
+--d0108:= D(m0108,x)
+--E 45
+
+--S 46 of 512
+t0109:= 1/x^3/(a+b*x)^(3/2)/(c+d*x)^(3/2)
+--R 
+--R
+--R                                   1
+--R   (19)  -----------------------------------------------------
+--R               5               4        3  +-------+ +-------+
+--R         (b d x  + (a d + b c)x  + a c x )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 46
+
+--S 47 of 512
+r0109:= -3/2*b*d/a^2/c^2/(a+b*x)^(1/2)/(c+d*x)^(1/2)+13/2*b*d*(b*c+a*d)/_
+        a^2/c^2/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)+15/8*(b*c+a*d)^2/_
+        a^3/c^3/(a+b*x)^(1/2)/(c+d*x)^(1/2)-15/8*(b*c+a*d)^3/a^3/c^3/_
+        (b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)-1/2/a/c/x^2/(a+b*x)^(1/2)/_
+        (c+d*x)^(1/2)+5/4*(b*c+a*d)/a^2/c^2/x/(a+b*x)^(1/2)/(c+d*x)^(1/2)-_
+        13*b^2*d*(b*c+a*d)*(c+d*x)^(1/2)/a^2/c^2/(b*c-a*d)^2/(a+b*x)^(1/2)+_
+        15/4*b*(b*c+a*d)^3*(c+d*x)^(1/2)/a^3/c^3/(b*c-a*d)^2/(a+b*x)^(1/2)+_
+        3*b*d*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(5/2)/_
+        c^(5/2)-15/4*(b*c+a*d)^2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/_
+        (c+d*x)^(1/2))/a^(7/2)/c^(7/2)
+--R 
+--R
+--R   (20)
+--R               4 4      3     3     2 2 2 2        3 3       4 4  2 +-------+
+--R         (- 15a d  + 12a b c d  + 6a b c d  + 12a b c d - 15b c )x \|b x + a
+--R      *
+--R                          +-+ +-------+
+--R          +-------+      \|c \|b x + a
+--R         \|d x + c atanh(--------------)
+--R                          +-+ +-------+
+--R                         \|a \|d x + c
+--R     + 
+--R               3   4     2 2   3       3 2 2      4 3   3
+--R           (15a b d  - 7a b c d  - 7a b c d  + 15b c d)x
+--R         + 
+--R               4 4     3     3      2 2 2 2       3 3       4 4  2
+--R           (15a d  - 2a b c d  - 10a b c d  - 2a b c d + 15b c )x
+--R         + 
+--R              4   3     3   2 2     2 2 3        3 4       4 2 2     3   3
+--R           (5a c d  - 5a b c d  - 5a b c d + 5a b c )x - 2a c d  + 4a b c d
+--R         + 
+--R               2 2 4
+--R           - 2a b c
+--R      *
+--R          +-+ +-+
+--R         \|a \|c
+--R  /
+--R        5 3 2     4   4      3 2 5  2 +-+ +-+ +-------+ +-------+
+--R     (4a c d  - 8a b c d + 4a b c )x \|a \|c \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 47
+
+--S 48 of 512
+--a0109:= integrate(t0109,x)
+--E 48
+
+--S 49 of 512
+--m0109:= a0109-r0109
+--E 49
+
+--S 50 of 512
+--d0109:= D(m0109,x)
+--E 50
+
+--S 51 of 512
+t0110:= x^5/(a+b*x)^(3/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R   (21)
+--R                                        5
+--R                                       x
+--R   --------------------------------------------------------------------------
+--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 )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 51
+
+--S 52 of 512
+r0110:= 2*a^5/b^5/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(3/2)+8/3*a^5*d*_
+        (a+b*x)^(1/2)/b^5/(b*c-a*d)^2/(c+d*x)^(3/2)+10/3*a^4*(a+b*x)^(1/2)/_
+        b^5/(b*c-a*d)/(c+d*x)^(3/2)-20/3*a^2*(a+b*x)^(3/2)/b^5/d/_
+        (c+d*x)^(3/2)-20/3*a^3*(a+b*x)^(3/2)/b^5/(b*c-a*d)/(c+d*x)^(3/2)+_
+        10/3*a*(a+b*x)^(5/2)/b^5/d/(c+d*x)^(3/2)-2/3*(a+b*x)^(7/2)/b^5/d/_
+        (c+d*x)^(3/2)-20*a^2*(a+b*x)^(1/2)/b^4/d^2/(c+d*x)^(1/2)+16/3*a^5*_
+        d*(a+b*x)^(1/2)/b^4/(b*c-a*d)^3/(c+d*x)^(1/2)+20/3*a^4*_
+        (a+b*x)^(1/2)/b^4/(b*c-a*d)^2/(c+d*x)^(1/2)+50/3*a*(a+b*x)^(3/2)/_
+        b^4/d^2/(c+d*x)^(1/2)-14/3*(a+b*x)^(5/2)/b^4/d^2/(c+d*x)^(1/2)-_
+        25*a*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d^3-35/4*(b*c-a*d)*_
+        (a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d^4+35/6*(a+b*x)^(3/2)*_
+        (c+d*x)^(1/2)/b^3/d^3+20*a^2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(7/2)/d^(5/2)+25*a*(b*c-a*d)*atanh(d^(1/2)*_
+        (a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(7/2)/d^(7/2)+35/4*_
+        (b*c-a*d)^2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/_
+        b^(7/2)/d^(9/2)
+--R 
+--R
+--R   (22)
+--R                  5 6      4     5      3 2 2 4      2 3 3 3         4 4 2
+--R               45a d  - 45a b c d  - 30a b c d  - 90a b c d  + 225a b c d
+--R             + 
+--R                     5 5
+--R               - 105b c d
+--R          *
+--R             x
+--R         + 
+--R            5   5      4   2 4      3 2 3 3      2 3 4 2         4 5        5 6
+--R         45a c d  - 45a b c d  - 30a b c d  - 90a b c d  + 225a b c d - 105b c
+--R      *
+--R                                    +-+ +-------+
+--R          +-------+ +-------+      \|d \|b x + a
+--R         \|b x + a \|d x + c atanh(--------------)
+--R                                    +-+ +-------+
+--R                                   \|b \|d x + c
+--R     + 
+--R              3 2 6      2 3   5        4 2 4     5 3 3  4
+--R           (6a b d  - 18a b c d  + 18a b c d  - 6b c d )x
+--R         + 
+--R                 4   6      3 2   5      2 3 2 4        4 3 3      5 4 2  3
+--R           (- 15a b d  + 24a b c d  + 18a b c d  - 48a b c d  + 21b c d )x
+--R         + 
+--R                 5 6      3 2 2 4      2 3 3 3         4 4 2       5 5   2
+--R           (- 45a d  + 66a b c d  + 12a b c d  - 237a b c d  + 140b c d)x
+--R         + 
+--R                    5   5      4   2 4      3 2 3 3       2 3 4 2        4 5
+--R               - 90a c d  + 45a b c d  + 84a b c d  - 222a b c d  - 50a b c d
+--R             + 
+--R                   5 6
+--R               105b c
+--R          *
+--R             x
+--R         + 
+--R                5 2 4      4   3 3      3 2 4 2       2 3 5          4 6
+--R           - 45a c d  + 30a b c d  + 36a b c d  - 190a b c d + 105a b c
+--R      *
+--R          +-+ +-+
+--R         \|b \|d
+--R  /
+--R             3 3 8      2 4   7        5 2 6      6 3 5        3 3   7
+--R         (12a b d  - 36a b c d  + 36a b c d  - 12b c d )x + 12a b c d
+--R       + 
+--R              2 4 2 6        5 3 5      6 4 4
+--R         - 36a b c d  + 36a b c d  - 12b c d
+--R    *
+--R        +-+ +-+ +-------+ +-------+
+--R       \|b \|d \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 52
+
+--S 53 of 512
+--a0110:= integrate(t0110,x)
+--E 53
+
+--S 54 of 512
+--m0110:= a0110-r0110
+--E 54
+
+--S 55 of 512
+--d0110:= D(m0110,x)
+--E 55
+
+--S 56 of 512
+t0111:= x^4/(a+b*x)^(3/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R   (23)
+--R                                        4
+--R                                       x
+--R   --------------------------------------------------------------------------
+--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 )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 56
+
+--S 57 of 512
+r0111:= -2*a^4/b^4/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(3/2)-8/3*a^4*d*_
+        (a+b*x)^(1/2)/b^4/(b*c-a*d)^2/(c+d*x)^(3/2)-8/3*a^3*(a+b*x)^(1/2)/_
+        b^4/(b*c-a*d)/(c+d*x)^(3/2)+8/3*a*(a+b*x)^(3/2)/b^4/d/(c+d*x)^(3/2)+_
+        4*a^2*(a+b*x)^(3/2)/b^4/(b*c-a*d)/(c+d*x)^(3/2)-2/3*(a+b*x)^(5/2)/_
+        b^4/d/(c+d*x)^(3/2)+8*a*(a+b*x)^(1/2)/b^3/d^2/(c+d*x)^(1/2)-_
+        16/3*a^4*d*(a+b*x)^(1/2)/b^3/(b*c-a*d)^3/(c+d*x)^(1/2)-_
+        16/3*a^3*(a+b*x)^(1/2)/b^3/(b*c-a*d)^2/(c+d*x)^(1/2)-_
+        10/3*(a+b*x)^(3/2)/b^3/d^2/(c+d*x)^(1/2)+5*(a+b*x)^(1/2)*_
+        (c+d*x)^(1/2)/b^2/d^3-5*c*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(3/2)/d^(7/2)-3*a*atanh(d^(1/2)*(a+b*x)^(1/2)/_
+        b^(1/2)/(c+d*x)^(1/2))/b^(5/2)/d^(5/2)
+--R 
+--R
+--R   (24)
+--R                4 5      3     4      2 2 2 3        3 3 2      4 4        4   4
+--R           (- 9a d  + 12a b c d  + 18a b c d  - 36a b c d  + 15b c d)x - 9a c d
+--R         + 
+--R              3   2 3      2 2 3 2        3 4       4 5
+--R           12a b c d  + 18a b c d  - 36a b c d + 15b c
+--R      *
+--R                                    +-+ +-------+
+--R          +-------+ +-------+      \|d \|b x + a
+--R         \|b x + a \|d x + c atanh(--------------)
+--R                                    +-+ +-------+
+--R                                   \|b \|d x + c
+--R     + 
+--R              3   5     2 2   4       3 2 3     4 3 2  3
+--R           (3a b d  - 9a b c d  + 9a b c d  - 3b c d )x
+--R         + 
+--R              4 5     3     4     2 2 2 3        3 3 2      4 4   2
+--R           (9a d  - 3a b c d  - 9a b c d  + 39a b c d  - 20b c d)x
+--R         + 
+--R               4   4      3   2 3      2 2 3 2        3 4       4 5       4 2 3
+--R           (18a c d  - 15a b c d  + 33a b c d  + 11a b c d - 15b c )x + 9a c d
+--R         + 
+--R               3   3 2      2 2 4         3 5
+--R           - 9a b c d  + 31a b c d - 15a b c
+--R      *
+--R          +-+ +-+
+--R         \|b \|d
+--R  /
+--R            3 2 7     2 3   6       4 2 5     5 3 4       3 2   6     2 3 2 5
+--R         (3a b d  - 9a b c d  + 9a b c d  - 3b c d )x + 3a b c d  - 9a b c d
+--R       + 
+--R             4 3 4     5 4 3
+--R         9a b c d  - 3b c d
+--R    *
+--R        +-+ +-+ +-------+ +-------+
+--R       \|b \|d \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 57
+
+--S 58 of 512
+--a0111:= integrate(t0111,x)
+--E 58
+
+--S 59 of 512
+--m0111:= a0111-r0111
+--E 59
+
+--S 60 of 512
+--d0111:= D(m0111,x)
+--E 60
+
+--S 61 of 512
+t0112:= x^3/(a+b*x)^(3/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R   (25)
+--R                                        3
+--R                                       x
+--R   --------------------------------------------------------------------------
+--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 )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 61
+
+--S 62 of 512
+r0112:= 2*a^3/b^3/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(3/2)+8/3*a^3*d*_
+        (a+b*x)^(1/2)/b^3/(b*c-a*d)^2/(c+d*x)^(3/2)+2*a^2*(a+b*x)^(1/2)/_
+        b^3/(b*c-a*d)/(c+d*x)^(3/2)-2/3*(a+b*x)^(3/2)/b^3/d/(c+d*x)^(3/2)-_
+        2*a*(a+b*x)^(3/2)/b^3/(b*c-a*d)/(c+d*x)^(3/2)-2*(a+b*x)^(1/2)/_
+        b^2/d^2/(c+d*x)^(1/2)+16/3*a^3*d*(a+b*x)^(1/2)/b^2/(b*c-a*d)^3/_
+        (c+d*x)^(1/2)+4*a^2*(a+b*x)^(1/2)/b^2/(b*c-a*d)^2/(c+d*x)^(1/2)+_
+        2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(3/2)/d^(5/2)
+--R 
+--R
+--R   (26)
+--R              3 4      2     3        2 2 2     3 3        3   3      2   2 2
+--R           (6a d  - 18a b c d  + 18a b c d  - 6b c d)x + 6a c d  - 18a b c d
+--R         + 
+--R                2 3      3 4
+--R           18a b c d - 6b c
+--R      *
+--R                                    +-+ +-------+
+--R          +-------+ +-------+      \|d \|b x + a
+--R         \|b x + a \|d x + c atanh(--------------)
+--R                                    +-+ +-------+
+--R                                   \|b \|d x + c
+--R     + 
+--R                3 4        2 2 2     3 3   2
+--R           (- 6a d  - 18a b c d  + 8b c d)x
+--R         + 
+--R                 3   3      2   2 2       2 3      3 4       3 2 2      2   3
+--R           (- 12a c d  - 18a b c d  - 8a b c d + 6b c )x - 6a c d  - 16a b c d
+--R         + 
+--R               2 4
+--R           6a b c
+--R      *
+--R          +-+ +-+
+--R         \|b \|d
+--R  /
+--R            3   6     2 2   5       3 2 4     4 3 3       3     5     2 2 2 4
+--R         (3a b d  - 9a b c d  + 9a b c d  - 3b c d )x + 3a b c d  - 9a b c d
+--R       + 
+--R             3 3 3     4 4 2
+--R         9a b c d  - 3b c d
+--R    *
+--R        +-+ +-+ +-------+ +-------+
+--R       \|b \|d \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 62
+
+--S 63 of 512
+--a0112:= integrate(t0112,x)
+--E 63
+
+--S 64 of 512
+--m0112:= a0112-r0112
+--E 64
+
+--S 65 of 512
+--d0112:= D(m0112,x)
+--E 65
+
+--S 66 of 512
+t0113:= 1/x/(a+b*x)^(3/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R   (27)
+--R                                         1
+--R   ----------------------------------------------------------------------------
+--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)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 66
+
+--S 67 of 512
+r0113:= 2*d/c/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(3/2)+8/3*d^2*(a+b*x)^(1/2)/_
+        c/(b*c-a*d)^2/(c+d*x)^(3/2)+1/a/c^2/(a+b*x)^(1/2)/(c+d*x)^(1/2)-_
+        (b*c+a*d)/a/c^2/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)+16/3*b*d^2*_
+        (a+b*x)^(1/2)/c/(b*c-a*d)^3/(c+d*x)^(1/2)+2*b*(b*c+a*d)*_
+        (c+d*x)^(1/2)/a/c^2/(b*c-a*d)^2/(a+b*x)^(1/2)-2*atanh(c^(1/2)*_
+        (a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(3/2)/c^(5/2)
+--R 
+--R
+--R   (28)
+--R                3 4      2     3        2 2 2     3 3        3   3      2   2 2
+--R           (- 6a d  + 18a b c d  - 18a b c d  + 6b c d)x - 6a c d  + 18a b c d
+--R         + 
+--R                  2 3      3 4
+--R           - 18a b c d + 6b c
+--R      *
+--R                                    +-+ +-------+
+--R          +-------+ +-------+      \|c \|b x + a
+--R         \|b x + a \|d x + c atanh(--------------)
+--R                                    +-+ +-------+
+--R                                   \|a \|d x + c
+--R     + 
+--R              2   4        2   3     3 2 2  2
+--R           (6a b d  - 16a b c d  - 6b c d )x
+--R         + 
+--R              3 4     2     3        2 2 2      3 3        3   3      2   2 2
+--R           (6a d  - 8a b c d  - 18a b c d  - 12b c d)x + 8a c d  - 18a b c d
+--R         + 
+--R               3 4
+--R           - 6b c
+--R      *
+--R          +-+ +-+
+--R         \|a \|c
+--R  /
+--R            4 2 4     3   3 3     2 2 4 2       3 5        4 3 3     3   4 2
+--R         (3a c d  - 9a b c d  + 9a b c d  - 3a b c d)x + 3a c d  - 9a b c d
+--R       + 
+--R           2 2 5        3 6
+--R         9a b c d - 3a b c
+--R    *
+--R        +-+ +-+ +-------+ +-------+
+--R       \|a \|c \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 67
+
+--S 68 of 512
+--a0113:= integrate(t0113,x)
+--E 68
+
+--S 69 of 512
+--m0113:= a0113-r0113
+--E 69
+
+--S 70 of 512
+--d0113:= D(m0113,x)
+--E 70
+
+--S 71 of 512
+t0114:= 1/x^2/(a+b*x)^(3/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R   (29)
+--R                                         1
+--R   -----------------------------------------------------------------------------
+--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 )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 71
+
+--S 72 of 512
+r0114:= -2*d^2/c^2/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(3/2)-8/3*d^3*_
+        (a+b*x)^(1/2)/c^2/(b*c-a*d)^2/(c+d*x)^(3/2)-d/a/c^3/(a+b*x)^(1/2)/_
+        (c+d*x)^(1/2)-4*b*d/a/c^2/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)-_
+        3/2*(b*c+a*d)/a^2/c^3/(a+b*x)^(1/2)/(c+d*x)^(1/2)+d*(b*c+a*d)/a/_
+        c^3/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)+3/2*(b*c+a*d)^2/a^2/_
+        c^3/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)-1/a/c^2/x/(a+b*x)^(1/2)/_
+        (c+d*x)^(1/2)-16/3*b*d^3*(a+b*x)^(1/2)/c^2/(b*c-a*d)^3/_
+        (c+d*x)^(1/2)+8*b^2*d*(c+d*x)^(1/2)/a/c^2/(b*c-a*d)^2/(a+b*x)^(1/2)-_
+        2*b*d*(b*c+a*d)*(c+d*x)^(1/2)/a/c^3/(b*c-a*d)^2/(a+b*x)^(1/2)-_
+        3*b*(b*c+a*d)^2*(c+d*x)^(1/2)/a^2/c^3/(b*c-a*d)^2/(a+b*x)^(1/2)+_
+        2*d*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(3/2)/_
+        c^(7/2)+3*(b*c+a*d)*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/_
+        (c+d*x)^(1/2))/a^(5/2)/c^(7/2)
+--R 
+--R
+--R   (30)
+--R               4 5      3     4      2 2 2 3        3 3 2     4 4   2
+--R           (15a d  - 36a b c d  + 18a b c d  + 12a b c d  - 9b c d)x
+--R         + 
+--R               4   4      3   2 3      2 2 3 2        3 4      4 5
+--R           (15a c d  - 36a b c d  + 18a b c d  + 12a b c d - 9b c )x
+--R      *
+--R                                    +-+ +-------+
+--R          +-------+ +-------+      \|c \|b x + a
+--R         \|b x + a \|d x + c atanh(--------------)
+--R                                    +-+ +-------+
+--R                                   \|a \|d x + c
+--R     + 
+--R                 3   5      2 2   4       3 2 3     4 3 2  3
+--R           (- 15a b d  + 31a b c d  - 9a b c d  + 9b c d )x
+--R         + 
+--R                 4 5      3     4      2 2 2 3        3 3 2      4 4   2
+--R           (- 15a d  + 11a b c d  + 33a b c d  - 15a b c d  + 18b c d)x
+--R         + 
+--R                 4   4      3   2 3     2 2 3 2       3 4      4 5       4 2 3
+--R           (- 20a c d  + 39a b c d  - 9a b c d  - 3a b c d + 9b c )x - 3a c d
+--R         + 
+--R             3   3 2     2 2 4        3 5
+--R           9a b c d  - 9a b c d + 3a b c
+--R      *
+--R          +-+ +-+
+--R         \|a \|c
+--R  /
+--R            5 3 4     4   4 3     3 2 5 2     2 3 6   2
+--R         (3a c d  - 9a b c d  + 9a b c d  - 3a b c d)x
+--R       + 
+--R            5 4 3     4   5 2     3 2 6      2 3 7
+--R         (3a c d  - 9a b c d  + 9a b c d - 3a b c )x
+--R    *
+--R        +-+ +-+ +-------+ +-------+
+--R       \|a \|c \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 72
+
+--S 73 of 512
+--a0114:= integrate(t0114,x)
+--E 73
+
+--S 74 of 512
+--m0114:= a0114-r0114
+--E 74
+
+--S 75 of 512
+--d0114:= D(m0114,x)
+--E 75
+
+--S 76 of 512
+t0115:= 1/x/(a+b*x)^(5/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R   (31)
+--R     1
+--R  /
+--R          2 2 5          2     2     4     2 2               2 2  3
+--R         b d x  + (2a b d  + 2b c d)x  + (a d  + 4a b c d + b c )x
+--R       + 
+--R            2            2  2    2 2
+--R         (2a c d + 2a b c )x  + a c x
+--R    *
+--R        +-------+ +-------+
+--R       \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 76
+
+--S 77 of 512
+r0115:= 1/3/a/c/(a+b*x)^(3/2)/(c+d*x)^(3/2)-1/3*(b*c+a*d)/a/c/(b*c-a*d)/_
+        (a+b*x)^(3/2)/(c+d*x)^(3/2)-2*b*(b*c+a*d)/a/c/(b*c-a*d)^2/_
+        (a+b*x)^(3/2)/(c+d*x)^(1/2)+1/a^2/c^2/(a+b*x)^(1/2)/(c+d*x)^(1/2)-_
+        (b*c+a*d)/a^2/c^2/(b*c-a*d)/(a+b*x)^(1/2)/(c+d*x)^(1/2)+8/3*b^2*_
+        (b*c+a*d)*(c+d*x)^(1/2)/a/c/(b*c-a*d)^3/(a+b*x)^(3/2)-16/3*b^2*d*_
+        (b*c+a*d)*(c+d*x)^(1/2)/a/c/(b*c-a*d)^4/(a+b*x)^(1/2)+2*b*_
+        (b*c+a*d)*(c+d*x)^(1/2)/a^2/c^2/(b*c-a*d)^2/(a+b*x)^(1/2)-_
+        2*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(5/2)/c^(5/2)
+--R 
+--R
+--R   (32)
+--R                4   5      3 2   4      2 3 2 3        4 3 2     5 4   2
+--R           (- 6a b d  + 24a b c d  - 36a b c d  + 24a b c d  - 6b c d)x
+--R         + 
+--R                5 5      4     4      3 2 2 3      2 3 3 2        4 4      5 5
+--R           (- 6a d  + 18a b c d  - 12a b c d  - 12a b c d  + 18a b c d - 6b c )x
+--R         + 
+--R               5   4      4   2 3      3 2 3 2      2 3 4        4 5
+--R           - 6a c d  + 24a b c d  - 36a b c d  + 24a b c d - 6a b c
+--R      *
+--R                                    +-+ +-------+
+--R          +-------+ +-------+      \|c \|b x + a
+--R         \|b x + a \|d x + c atanh(--------------)
+--R                                    +-+ +-------+
+--R                                   \|a \|d x + c
+--R     + 
+--R              3 2 5      2 3   4        4 2 3     5 3 2  3
+--R           (6a b d  - 22a b c d  - 22a b c d  + 6b c d )x
+--R         + 
+--R               4   5      3 2   4      2 3 2 3        4 3 2      5 4   2
+--R           (12a b d  - 36a b c d  - 48a b c d  - 36a b c d  + 12b c d)x
+--R         + 
+--R              5 5     4     4      3 2 2 3      2 3 3 2       4 4      5 5
+--R           (6a d  - 6a b c d  - 48a b c d  - 48a b c d  - 6a b c d + 6b c )x
+--R         + 
+--R             5   4      4   2 3      2 3 4        4 5
+--R           8a c d  - 24a b c d  - 24a b c d + 8a b c
+--R      *
+--R          +-+ +-+
+--R         \|a \|c
+--R  /
+--R            6   2 5      5 2 3 4      4 3 4 3      3 4 5 2     2 5 6   2
+--R         (3a b c d  - 12a b c d  + 18a b c d  - 12a b c d  + 3a b c d)x
+--R       + 
+--R            7 2 5     6   3 4     5 2 4 3     4 3 5 2     3 4 6      2 5 7
+--R         (3a c d  - 9a b c d  + 6a b c d  + 6a b c d  - 9a b c d + 3a b c )x
+--R       + 
+--R           7 3 4      6   4 3      5 2 5 2      4 3 6      3 4 7
+--R         3a c d  - 12a b c d  + 18a b c d  - 12a b c d + 3a b c
+--R    *
+--R        +-+ +-+ +-------+ +-------+
+--R       \|a \|c \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 77
+
+--S 78 of 512
+--a0115:= integrate(t0115,x)
+--E 78
+
+--S 79 of 512
+--m0115:= a0115-r0115
+--E 79
+
+--S 80 of 512
+--d0115:= D(m0115,x)
+--E 80
+
+--S 81 of 512
+t0116:= 1/x^2/(a+b*x)^(5/2)/(c+d*x)^(5/2)
+--R 
+--R
+--R   (33)
+--R     1
+--R  /
+--R          2 2 6          2     2     5     2 2               2 2  4
+--R         b d x  + (2a b d  + 2b c d)x  + (a d  + 4a b c d + b c )x
+--R       + 
+--R            2            2  3    2 2 2
+--R         (2a c d + 2a b c )x  + a c x
+--R    *
+--R        +-------+ +-------+
+--R       \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 81
+
+--S 82 of 512
+r0116:= -8/3*b*d/a/c/(b*c-a*d)/(a+b*x)^(3/2)/(c+d*x)^(3/2)-_
+        5/6*(b*c+a*d)/a^2/c^2/(a+b*x)^(3/2)/(c+d*x)^(3/2)+_
+        5/6*(b*c+a*d)^2/a^2/c^2/(b*c-a*d)/(a+b*x)^(3/2)/(c+d*x)^(3/2)-_
+        1/a/c/x/(a+b*x)^(3/2)/(c+d*x)^(3/2)-16*b^2*d/a/c/(b*c-a*d)^2/_
+        (a+b*x)^(3/2)/(c+d*x)^(1/2)+5*b*(b*c+a*d)^2/a^2/c^2/(b*c-a*d)^2/_
+        (a+b*x)^(3/2)/(c+d*x)^(1/2)-5/2*(b*c+a*d)/a^3/c^3/(a+b*x)^(1/2)/_
+        (c+d*x)^(1/2)+5/2*(b*c+a*d)^2/a^3/c^3/(b*c-a*d)/(a+b*x)^(1/2)/_
+        (c+d*x)^(1/2)+64/3*b^3*d*(c+d*x)^(1/2)/a/c/(b*c-a*d)^3/_
+        (a+b*x)^(3/2)-20/3*b^2*(b*c+a*d)^2*(c+d*x)^(1/2)/a^2/c^2/_
+        (b*c-a*d)^3/(a+b*x)^(3/2)-128/3*b^3*d^2*(c+d*x)^(1/2)/a/c/_
+        (b*c-a*d)^4/(a+b*x)^(1/2)+40/3*b^2*d*(b*c+a*d)^2*(c+d*x)^(1/2)/_
+        a^2/c^2/(b*c-a*d)^4/(a+b*x)^(1/2)-5*b*(b*c+a*d)^2*(c+d*x)^(1/2)/_
+        a^3/c^3/(b*c-a*d)^2/(a+b*x)^(1/2)+5*(b*c+a*d)*_
+        atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(7/2)/c^(7/2)
+--R 
+--R
+--R   (34)
+--R                  5   6      4 2   5      3 3 2 4      2 4 3 3        5 4 2
+--R               15a b d  - 45a b c d  + 30a b c d  + 30a b c d  - 45a b c d
+--R             + 
+--R                  6 5
+--R               15b c d
+--R          *
+--R              3
+--R             x
+--R         + 
+--R                  6 6      5     5      4 2 2 4      3 3 3 3      2 4 4 2
+--R               15a d  - 30a b c d  - 15a b c d  + 60a b c d  - 15a b c d
+--R             + 
+--R                      5 5       6 6
+--R               - 30a b c d + 15b c
+--R          *
+--R              2
+--R             x
+--R         + 
+--R                  6   5      5   2 4      4 2 3 3      3 3 4 2      2 4 5
+--R               15a c d  - 45a b c d  + 30a b c d  + 30a b c d  - 45a b c d
+--R             + 
+--R                    5 6
+--R               15a b c
+--R          *
+--R             x
+--R      *
+--R                                    +-+ +-------+
+--R          +-------+ +-------+      \|c \|b x + a
+--R         \|b x + a \|d x + c atanh(--------------)
+--R                                    +-+ +-------+
+--R                                   \|a \|d x + c
+--R     + 
+--R                 4 2 6      3 3   5      2 4 2 4        5 3 3      6 4 2  4
+--R           (- 15a b d  + 40a b c d  - 18a b c d  + 40a b c d  - 15b c d )x
+--R         + 
+--R                    5   6      4 2   5      3 3 2 4      2 4 3 3        5 4 2
+--R               - 30a b d  + 60a b c d  + 18a b c d  + 18a b c d  + 60a b c d
+--R             + 
+--R                    6 5
+--R               - 30b c d
+--R          *
+--R              3
+--R             x
+--R         + 
+--R                 6 6      4 2 2 4      3 3 3 3      2 4 4 2      6 6  2
+--R           (- 15a d  + 87a b c d  - 48a b c d  + 87a b c d  - 15b c )x
+--R         + 
+--R                    6   5      5   2 4      4 2 3 3      3 3 4 2      2 4 5
+--R               - 20a c d  + 48a b c d  - 12a b c d  - 12a b c d  + 48a b c d
+--R             + 
+--R                      5 6
+--R               - 20a b c
+--R          *
+--R             x
+--R         + 
+--R               6 2 4      5   3 3      4 2 4 2      3 3 5      2 4 6
+--R           - 3a c d  + 12a b c d  - 18a b c d  + 12a b c d - 3a b c
+--R      *
+--R          +-+ +-+
+--R         \|a \|c
+--R  /
+--R            7   3 5      6 2 4 4      5 3 5 3      4 4 6 2     3 5 7   3
+--R         (3a b c d  - 12a b c d  + 18a b c d  - 12a b c d  + 3a b c d)x
+--R       + 
+--R            8 3 5     7   4 4     6 2 5 3     5 3 6 2     4 4 7      3 5 8  2
+--R         (3a c d  - 9a b c d  + 6a b c d  + 6a b c d  - 9a b c d + 3a b c )x
+--R       + 
+--R            8 4 4      7   5 3      6 2 6 2      5 3 7      4 4 8
+--R         (3a c d  - 12a b c d  + 18a b c d  - 12a b c d + 3a b c )x
+--R    *
+--R        +-+ +-+ +-------+ +-------+
+--R       \|a \|c \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 82
+
+--S 83 of 512
+--a0116:= integrate(t0116,x)
+--E 83
+
+--S 84 of 512
+--m0116:= a0116-r0116
+--E 84
+
+--S 85 of 512
+--d0116:= D(m0116,x)
+--E 858
+
+--S 86 of 512
+t0117:= x^3*(a+b*x)^(1/2)*(c+d*x)^(5/2)
+--R 
+--R
+--R           2 5         4    2 3  +-------+ +-------+
+--R   (35)  (d x  + 2c d x  + c x )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 86
+
+--S 87 of 512
+r0117:= -33/1024*(b*c-a*d)^6*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^6/d^4-_
+        11/512*(b*c-a*d)^5*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^5/d^4-_
+        11/640*(b*c-a*d)^4*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b^4/d^4-_
+        33/2240*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(7/2)/b^3/d^4-_
+        11/840*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(9/2)/b^2/d^4-_
+        1/84*(b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(11/2)/b/d^4+5/64*c^3*_
+        (b*c-a*d)^4*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/_
+        b^(7/2)/d^(9/2)-21/128*c^2*(b*c-a*d)^5*atanh(d^(1/2)*_
+        (a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(9/2)/d^(9/2)+_
+        63/512*c*(b*c-a*d)^6*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(11/2)/d^(9/2)+1/7*(a+b*x)^(1/2)*_
+        (c+d*x)^(13/2)/d^4-1/4*c^3*(a+b*x)^(1/2)*(c+d*x)^(7/2)/d^4+_
+        3/5*c^2*(a+b*x)^(1/2)*(c+d*x)^(9/2)/d^4-1/2*c*(a+b*x)^(1/2)*_
+        (c+d*x)^(11/2)/d^4-33/1024*(b*c-a*d)^7*atanh(d^(1/2)*_
+        (a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(13/2)/d^(9/2)+_
+        5/64*c^3*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d^4-_
+        21/128*c^2*(b*c-a*d)^4*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^4/d^4+_
+        63/512*c*(b*c-a*d)^5*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^5/d^4+_
+        5/96*c^3*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^2/d^4-_
+        7/64*c^2*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^3/d^4+_
+        21/256*c*(b*c-a*d)^4*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^4/d^4+_
+        1/24*c^3*(b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b/d^4-_
+        7/80*c^2*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b^2/d^4+_
+        21/320*c*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b^3/d^4-_
+        3/40*c^2*(b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(7/2)/b/d^4+_
+        9/160*c*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(7/2)/b^2/d^4+_
+        1/20*c*(b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(9/2)/b/d^4
+--R 
+--R
+--R   (36)
+--R                7 7         6     6         5 2 2 5        4 3 3 4       3 4 4 3
+--R           3465a d  - 11025a b c d  + 11025a b c d  - 2625a b c d  - 525a b c d
+--R         + 
+--R                 2 5 5 2         6 6        7 7
+--R           - 315a b c d  - 525a b c d + 525b c
+--R      *
+--R                +-+ +-------+
+--R               \|d \|b x + a
+--R         atanh(--------------)
+--R                +-+ +-------+
+--R               \|b \|d x + c
+--R     + 
+--R                 6 6 6           5 6         6   5  5
+--R           15360b d x  + (1280a b d  + 37120b c d )x
+--R         + 
+--R                   2 4 6          5   5         6 2 4  4
+--R           (- 1408a b d  + 3840a b c d  + 23680b c d )x
+--R         + 
+--R                 3 3 6        2 4   5          5 2 4       6 3 3  3
+--R           (1584a b d  - 4336a b c d  + 3280a b c d  + 240b c d )x
+--R         + 
+--R                      4 2 6        3 3   5        2 4 2 4         5 3 3
+--R               - 1848a b d  + 5088a b c d  - 3888a b c d  + 160a b c d
+--R             + 
+--R                     6 4 2
+--R               - 280b c d
+--R          *
+--R              2
+--R             x
+--R         + 
+--R                    5   6        4 2   5        3 3 2 4       2 4 3 3
+--R               2310a b d  - 6426a b c d  + 5004a b c d  - 260a b c d
+--R             + 
+--R                       5 4 2       6 5
+--R               - 210a b c d  + 350b c d
+--R          *
+--R             x
+--R         + 
+--R                  6 6        5     5        4 2 2 4       3 3 3 3       2 4 4 2
+--R           - 3465a d  + 9870a b c d  - 8043a b c d  + 660a b c d  + 385a b c d
+--R         + 
+--R                 5 5        6 6
+--R           350a b c d - 525b c
+--R      *
+--R          +-+ +-+ +-------+ +-------+
+--R         \|b \|d \|b x + a \|d x + c
+--R  /
+--R            6 4 +-+ +-+
+--R     107520b d \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 87
+
+--S 88 of 512
+--a0117:= integrate(t0117,x)
+--E 88
+
+--S 89 of 512
+--m0117:= a0117-r0117
+--E 89
+
+--S 90 of 512
+--d0117:= D(m0117,x)
+--E 90
+
+--S 91 of 512
+t0118:= x^2*(a+b*x)^(1/2)*(c+d*x)^(5/2)
+--R 
+--R
+--R           2 4         3    2 2  +-------+ +-------+
+--R   (37)  (d x  + 2c d x  + c x )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 91
+
+--S 92 of 512
+r0118:= -5/64*c^2*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d^3+_
+        7/64*c*(b*c-a*d)^4*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^4/d^3-_
+        21/512*(b*c-a*d)^5*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^5/d^3-_
+        5/96*c^2*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^2/d^3+_
+        7/96*c*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^3/d^3-_
+        7/256*(b*c-a*d)^4*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^4/d^3-_
+        1/24*c^2*(b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b/d^3+_
+        7/120*c*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b^2/d^3-_
+        7/320*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b^3/d^3+_
+        1/4*c^2*(a+b*x)^(1/2)*(c+d*x)^(7/2)/d^3+1/20*c*_
+        (b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(7/2)/b/d^3-3/160*(b*c-a*d)^2*_
+        (a+b*x)^(1/2)*(c+d*x)^(7/2)/b^2/d^3-2/5*c*(a+b*x)^(1/2)*_
+        (c+d*x)^(9/2)/d^3-1/60*(b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(9/2)/_
+        b/d^3+1/6*(a+b*x)^(1/2)*(c+d*x)^(11/2)/d^3-5/64*c^2*(b*c-a*d)^4*_
+        atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(7/2)/d^(7/2)+_
+        7/64*c*(b*c-a*d)^5*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(9/2)/d^(7/2)-21/512*(b*c-a*d)^6*_
+        atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(11/2)/d^(7/2)
+--R 
+--R
+--R   (38)
+--R                 6 6        5     5        4 2 2 4       3 3 3 3      2 4 4 2
+--R           - 315a d  + 1050a b c d  - 1125a b c d  + 300a b c d  + 75a b c d
+--R         + 
+--R                5 5       6 6
+--R           90a b c d - 75b c
+--R      *
+--R                +-+ +-------+
+--R               \|d \|b x + a
+--R         atanh(--------------)
+--R                +-+ +-------+
+--R               \|b \|d x + c
+--R     + 
+--R                5 5 5          4 5        5   4  4
+--R           1280b d x  + (128a b d  + 3200b c d )x
+--R         + 
+--R                  2 3 5         4   4        5 2 3  3
+--R           (- 144a b d  + 416a b c d  + 2160b c d )x
+--R         + 
+--R                3 2 5       2 3   4         4 2 3      5 3 2  2
+--R           (168a b d  - 488a b c d  + 408a b c d  + 40b c d )x
+--R         + 
+--R                  4   5       3 2   4       2 3 2 3        4 3 2      5 4
+--R           (- 210a b d  + 616a b c d  - 524a b c d  + 40a b c d  - 50b c d)x
+--R         + 
+--R             5 5       4     4       3 2 2 3      2 3 3 2        4 4       5 5
+--R         315a d  - 945a b c d  + 838a b c d  - 90a b c d  - 65a b c d + 75b c
+--R      *
+--R          +-+ +-+ +-------+ +-------+
+--R         \|b \|d \|b x + a \|d x + c
+--R  /
+--R          5 3 +-+ +-+
+--R     7680b d \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 92
+
+--S 93 of 512
+--a0118:= integrate(t0118,x)
+--E 93
+
+--S 94 of 512
+--m0118:= a0118-r0118
+--E 94
+
+--S 95 of 512
+--d0118:= D(m0118,x)
+--E 95
+
+--S 96 of 512
+t0119:= x*(a+b*x)^(1/2)*(c+d*x)^(5/2)
+--R 
+--R
+--R           2 3         2    2   +-------+ +-------+
+--R   (39)  (d x  + 2c d x  + c x)\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 96
+
+--S 97 of 512
+r0119:= 5/64*c*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d^2-_
+        7/128*(b*c-a*d)^4*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^4/d^2+_
+        5/96*c*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^2/d^2-_
+        7/192*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^3/d^2+_
+        1/24*c*(b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b/d^2-_
+        7/240*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b^2/d^2-_
+        11/40*c*(a+b*x)^(1/2)*(c+d*x)^(7/2)/d^2+1/40*a*(a+b*x)^(1/2)*_
+        (c+d*x)^(7/2)/b/d+1/5*(a+b*x)^(1/2)*(c+d*x)^(9/2)/d^2+_
+        5/64*c*(b*c-a*d)^4*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(7/2)/d^(5/2)-7/128*(b*c-a*d)^5*_
+        atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(9/2)/d^(5/2)
+--R 
+--R
+--R   (40)
+--R                 5 5       4     4       3 2 2 3       2 3 3 2        4 4
+--R             105a d  - 375a b c d  + 450a b c d  - 150a b c d  - 75a b c d
+--R           + 
+--R                5 5
+--R             45b c
+--R      *
+--R                +-+ +-------+
+--R               \|d \|b x + a
+--R         atanh(--------------)
+--R                +-+ +-------+
+--R               \|b \|d x + c
+--R     + 
+--R               4 4 4         3 4        4   3  3
+--R           384b d x  + (48a b d  + 1008b c d )x
+--R         + 
+--R                 2 2 4         3   3       4 2 2  2
+--R           (- 56a b d  + 176a b c d  + 744b c d )x
+--R         + 
+--R               3   4       2 2   3         3 2 2      4 3          4 4
+--R           (70a b d  - 222a b c d  + 218a b c d  + 30b c d)x - 105a d
+--R         + 
+--R               3     3       2 2 2 2        3 3       4 4
+--R           340a b c d  - 346a b c d  + 60a b c d - 45b c
+--R      *
+--R          +-+ +-+ +-------+ +-------+
+--R         \|b \|d \|b x + a \|d x + c
+--R  /
+--R          4 2 +-+ +-+
+--R     1920b d \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 97
+
+--S 98 of 512
+--a0119:= integrate(t0119,x)
+--E 98
+
+--S 99 of 512
+--m0119:= a0119-r0119
+--E 99
+
+--S 100 of 512
+--d0119:= D(m0119,x)
+--E 100
+
+--S 101 of 512
+t0120:= (a+b*x)^(1/2)*(c+d*x)^(5/2)
+--R 
+--R
+--R           2 2             2  +-------+ +-------+
+--R   (41)  (d x  + 2c d x + c )\|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 101
+
+--S 102 of 512
+r0120:= -5/64*(b*c-a*d)^3*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b^3/d-_
+        5/96*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(3/2)/b^2/d-_
+        1/24*(b*c-a*d)*(a+b*x)^(1/2)*(c+d*x)^(5/2)/b/d+_
+        1/4*(a+b*x)^(1/2)*(c+d*x)^(7/2)/d-5/64*(b*c-a*d)^4*_
+        atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(7/2)/d^(3/2)
+--R 
+--R
+--R   (42)
+--R               4 4      3     3      2 2 2 2        3 3       4 4
+--R         (- 15a d  + 60a b c d  - 90a b c d  + 60a b c d - 15b c )
+--R      *
+--R                +-+ +-------+
+--R               \|d \|b x + a
+--R         atanh(--------------)
+--R                +-+ +-------+
+--R               \|b \|d x + c
+--R     + 
+--R              3 3 3        2 3       3   2  2
+--R           48b d x  + (8a b d  + 136b c d )x
+--R         + 
+--R                 2   3        2   2       3 2         3 3      2     2
+--R           (- 10a b d  + 36a b c d  + 118b c d)x + 15a d  - 55a b c d
+--R         + 
+--R                2 2       3 3
+--R           73a b c d + 15b c
+--R      *
+--R          +-+ +-+ +-------+ +-------+
+--R         \|b \|d \|b x + a \|d x + c
+--R  /
+--R         3  +-+ +-+
+--R     192b d\|b \|d
+--R                                                    Type: Expression(Integer)
+--E 102
+
+--S 103 of 512
+--a0120:= integrate(t0120,x)
+--E 103
+
+--S 104 of 512
+--m0120:= a0120-r0120
+--E 104
+
+--S 105 of 512
+--d0120:= D(m0120,x)
+--E 105
+
+--S 106 of 512
+t0121:= (a+b*x)^(1/2)*(c+d*x)^(5/2)/x
+--R 
+--R
+--R           2 2             2  +-------+ +-------+
+--R         (d x  + 2c d x + c )\|b x + a \|d x + c
+--R   (43)  ----------------------------------------
+--R                             x
+--R                                                    Type: Expression(Integer)
+--E 106
+
+--S 107 of 512
+r0121:= 1/24/b^(5/2)*(-3*(a+b*x)^(1/2)*(c+d*x)^(1/2)*a^2*d^(5/2)*b^(1/2)+_
+        45*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))*a*b^2*d*c^2-_
+        15*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))*a^2*b*d^2*c+_
+        15*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))*b^3*c^3+_
+        3*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))*a^3*d^3+_
+        14*(a+b*x)^(1/2)*(c+d*x)^(1/2)*a*d^(3/2)*b^(3/2)*c+33*c^2*_
+        (a+b*x)^(1/2)*(c+d*x)^(1/2)*b^(5/2)*d^(1/2)-48*a^(1/2)*c^(5/2)*_
+        atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))*b^(5/2)*d^(1/2)+_
+        2*(a+b*x)^(1/2)*(c+d*x)^(1/2)*d^(5/2)*b^(3/2)*a*x+_
+        26*(a+b*x)^(1/2)*(c+d*x)^(1/2)*b^(5/2)*d^(3/2)*c*x+_
+        8*(a+b*x)^(1/2)*(c+d*x)^(1/2)*d^(5/2)*b^(5/2)*x^2)/d^(1/2)
+--R 
+--R
+--R   (44)
+--R                                                       +-+ +-------+
+--R          3 3      2     2        2 2       3 3       \|d \|b x + a
+--R       (3a d  - 15a b c d  + 45a b c d + 15b c )atanh(--------------)
+--R                                                       +-+ +-------+
+--R                                                      \|b \|d x + c
+--R     + 
+--R                                      +-+ +-------+
+--R            2 2 +-+ +-+ +-+ +-+      \|c \|b x + a
+--R       - 48b c \|a \|b \|c \|d atanh(--------------)
+--R                                      +-+ +-------+
+--R                                     \|a \|d x + c
+--R     + 
+--R            2 2 2          2      2          2 2                  2 2  +-+ +-+
+--R         (8b d x  + (2a b d  + 26b c d)x - 3a d  + 14a b c d + 33b c )\|b \|d
+--R      *
+--R          +-------+ +-------+
+--R         \|b x + a \|d x + c
+--R  /
+--R        2 +-+ +-+
+--R     24b \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 107
+
+--S 108 of 512
+--a0121:= integrate(t0121,x)
+--E 108
+
+--S 109 of 512
+--m0121:= a0121-r0121
+--E 109
+
+--S 110 of 512
+--d0121:= D(m0121,x)
+--E 110
+
+--S 111 of 512
+t0122:= x^3*(1+x)^(1/2)/(1-x)^(5/2)
+--R 
+--R
+--R                 3 +-----+
+--R                x \|x + 1
+--R   (45)  -----------------------
+--R           2           +-------+
+--R         (x  - 2x + 1)\|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 111
+
+--S 112 of 512
+r0122:= -6*(1+x)^(1/2)/(1-x)^(1/2)-3*(1-x)^(1/2)*(1+x)^(1/2)+_
+        1/3*(1+x)^(3/2)/(1-x)^(3/2)-1/2*x*(1-x^2)^(1/2)+11/2*asin(x)
+--R 
+--R
+--R   (46)
+--R           2             +-----+
+--R       (18x  - 74x + 52)\|x + 1
+--R     + 
+--R                     +--------+
+--R             2       |   2                           +-------+
+--R       ((- 3x  + 3x)\|- x  + 1  + (33x - 33)asin(x))\|- x + 1
+--R  /
+--R              +-------+
+--R     (6x - 6)\|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 112
+
+--S 113 of 512
+--a0122:= integrate(t0122,x)
+--E 113
+
+--S 114 of 512
+--m0122:= a0122-r0122
+--E 114
+
+--S 115 of 512
+--d0122:= D(m0122,x)
+--E 115
+
+--S 116 of 512
+t0123:= x^2*(1+x)^(1/2)/(1-x)^(5/2)
+--R 
+--R
+--R                 2 +-----+
+--R                x \|x + 1
+--R   (47)  -----------------------
+--R           2           +-------+
+--R         (x  - 2x + 1)\|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 116
+
+--S 117 of 512
+r0123:= -4*(1+x)^(1/2)/(1-x)^(1/2)-(1-x)^(1/2)*(1+x)^(1/2)+_
+        1/3*(1+x)^(3/2)/(1-x)^(3/2)+3*asin(x)
+--R 
+--R
+--R            2             +-----+                   +-------+
+--R         (3x  - 19x + 14)\|x + 1  + (9x - 9)asin(x)\|- x + 1
+--R   (48)  ----------------------------------------------------
+--R                                   +-------+
+--R                          (3x - 3)\|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 117
+
+--S 118 of 512
+--a0123:= integrate(t0123,x)
+--E 118
+
+--S 119 of 512
+--m0123:= a0123-r0123
+--E 119
+
+--S 120 of 512
+--d0123:= D(m0123,x)
+--E 120
+
+--S 121 of 512
+t0124:= x*(1+x)^(1/2)/(1-x)^(5/2)
+--R 
+--R
+--R                  +-----+
+--R                x\|x + 1
+--R   (49)  -----------------------
+--R           2           +-------+
+--R         (x  - 2x + 1)\|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 121
+
+--S 122 of 512
+r0124:= -2*(1+x)^(1/2)/(1-x)^(1/2)+1/3*(1+x)^(3/2)/(1-x)^(3/2)+asin(x)
+--R 
+--R
+--R                    +-----+                   +-------+
+--R         (- 7x + 5)\|x + 1  + (3x - 3)asin(x)\|- x + 1
+--R   (50)  ----------------------------------------------
+--R                                +-------+
+--R                       (3x - 3)\|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 122
+
+--S 123 of 512
+--a0124:= integrate(t0124,x)
+--E 123
+
+--S 124 of 512
+--m0124:= a0124-r0124
+--E 124
+
+--S 125 of 512
+--d0124:= D(m0124,x)
+--E 125
+
+--S 126 of 512
+t0125:= x^2*(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R          2 +-------+
+--R         x \|b x + a
+--R   (51)  ------------
+--R           +-------+
+--R          \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 126
+
+--S 127 of 512
+r0125:= 3/2*a*c*(a+b*x)^(1/2)*(c+d*x)^(1/2)/b/d^2-1/2*a^2*(a+b*x)^(1/2)*_
+        (c+d*x)^(1/2)/b^2/d+5/8*(b*c-a*d)^2*(a+b*x)^(1/2)*(c+d*x)^(1/2)/_
+        b^2/d^3-5/12*c*(a+b*x)^(3/2)*(c+d*x)^(1/2)/b/d^2-7/12*a*_
+        (a+b*x)^(3/2)*(c+d*x)^(1/2)/b^2/d+1/3*(a+b*x)^(5/2)*(c+d*x)^(1/2)/_
+        b^2/d-a^2*(b*c-a*d)*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(5/2)/d^(3/2)-3/2*a*(b*c-a*d)^2*_
+        atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(5/2)/_
+        d^(5/2)-5/8*(b*c-a*d)^3*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/b^(5/2)/d^(7/2)
+--R 
+--R
+--R   (52)
+--R                                                     +-+ +-------+
+--R          3 3     2     2       2 2       3 3       \|d \|b x + a
+--R       (3a d  + 3a b c d  + 9a b c d - 15b c )atanh(--------------)
+--R                                                     +-+ +-------+
+--R                                                    \|b \|d x + c
+--R     + 
+--R            2 2 2          2      2          2 2                 2 2  +-+ +-+
+--R         (8b d x  + (2a b d  - 10b c d)x - 3a d  - 4a b c d + 15b c )\|b \|d
+--R      *
+--R          +-------+ +-------+
+--R         \|b x + a \|d x + c
+--R  /
+--R        2 3 +-+ +-+
+--R     24b d \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 127
+
+--S 128 of 512
+--a0125:= integrate(t0125,x)
+--E 128
+
+--S 129 of 512
+--m0125:= a0125-r0125
+--E 129
+
+--S 130 of 512
+--d0125:= D(m0125,x)
+--E 130
+
+--S 131 of 512
+t0126:= x*(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R           +-------+
+--R         x\|b x + a
+--R   (53)  -----------
+--R           +-------+
+--R          \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 131
+
+--S 132 of 512
+r0126:= -3/4*c*(a+b*x)^(1/2)*(c+d*x)^(1/2)/d^2-1/4*a*(a+b*x)^(1/2)*_
+        (c+d*x)^(1/2)/b/d+1/2*(a+b*x)^(3/2)*(c+d*x)^(1/2)/b/d+a*_
+        (b*c-a*d)*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/_
+        b^(3/2)/d^(3/2)+3/4*(b*c-a*d)^2*atanh(d^(1/2)*(a+b*x)^(1/2)/_
+        b^(1/2)/(c+d*x)^(1/2))/b^(3/2)/d^(5/2)
+--R 
+--R
+--R   (54)
+--R                                         +-+ +-------+
+--R           2 2                2 2       \|d \|b x + a
+--R       (- a d  - 2a b c d + 3b c )atanh(--------------)
+--R                                         +-+ +-------+
+--R                                        \|b \|d x + c
+--R     + 
+--R                             +-+ +-+ +-------+ +-------+
+--R       (2b d x + a d - 3b c)\|b \|d \|b x + a \|d x + c
+--R  /
+--R         2 +-+ +-+
+--R     4b d \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 132
+
+--S 133 of 512
+--a0126:= integrate(t0126,x)
+--E 133
+
+--S 134 of 512
+--m0126:= a0126-r0126
+--E 134
+
+--S 135 of 512
+--d0126:= D(m0126,x)
+--E 135
+
+--S 136 of 512
+t0127:= (a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R          +-------+
+--R         \|b x + a
+--R   (55)  ----------
+--R          +-------+
+--R         \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 136
+
+--S 137 of 512
+r0127:= (a+b*x)^(1/2)*(c+d*x)^(1/2)/d-(b*c-a*d)*atanh(d^(1/2)*(a+b*x)^(1/2)/_
+        b^(1/2)/(c+d*x)^(1/2))/b^(1/2)/d^(3/2)
+--R 
+--R
+--R                           +-+ +-------+
+--R                          \|d \|b x + a      +-+ +-+ +-------+ +-------+
+--R         (a d - b c)atanh(--------------) + \|b \|d \|b x + a \|d x + c
+--R                           +-+ +-------+
+--R                          \|b \|d x + c
+--R   (56)  ---------------------------------------------------------------
+--R                                      +-+ +-+
+--R                                    d\|b \|d
+--R                                                    Type: Expression(Integer)
+--E 137
+
+--S 138 of 512
+--a0127:= integrate(t0127,x)
+--E 138
+
+--S 139 of 512
+--m0127:= a0127-r0127
+--E 139
+
+--S 140 of 512
+--d0127:= D(m0127,x)
+--E 140
+
+--S 141 of 512
+t0128:= (a+b*x)^(1/2)/x/(c+d*x)^(1/2)
+--R 
+--R
+--R           +-------+
+--R          \|b x + a
+--R   (57)  -----------
+--R           +-------+
+--R         x\|d x + c
+--R                                                    Type: Expression(Integer)
+--E 141
+
+--S 142 of 512
+r0128:= -2*a^(1/2)*atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/_
+        c^(1/2)+2*b^(1/2)*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/_
+        (c+d*x)^(1/2))/d^(1/2)
+--R 
+--R
+--R                         +-+ +-------+                    +-+ +-------+
+--R           +-+ +-+      \|d \|b x + a       +-+ +-+      \|c \|b x + a
+--R         2\|b \|c atanh(--------------) - 2\|a \|d atanh(--------------)
+--R                         +-+ +-------+                    +-+ +-------+
+--R                        \|b \|d x + c                    \|a \|d x + c
+--R   (58)  ---------------------------------------------------------------
+--R                                      +-+ +-+
+--R                                     \|c \|d
+--R                                                    Type: Expression(Integer)
+--E 142
+
+--S 143 of 512
+--a0128:= integrate(t0128,x)
+--E 143
+
+--S 144 of 512
+--m0128:= a0128-r0128
+--E 144
+
+--S 145 of 512
+--d0128:= D(m0128,x)
+--   >> Error detected within library code:
+--   integrate: implementation incomplete (non-algebraic residues)
+--E 145
+
+--S 146 of 512
+t0129:= (a+b*x)^(1/2)/x^2/(c+d*x)^(1/2)
+--R 
+--R
+--R           +-------+
+--R          \|b x + a
+--R   (59)  ------------
+--R          2 +-------+
+--R         x \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 146
+
+--S 147 of 512
+r0129:= -(a+b*x)^(1/2)*(c+d*x)^(1/2)/c/x-(b*c-a*d)*_
+        atanh(c^(1/2)*(a+b*x)^(1/2)/a^(1/2)/(c+d*x)^(1/2))/a^(1/2)/c^(3/2)
+--R 
+--R
+--R                             +-+ +-------+
+--R                            \|c \|b x + a      +-+ +-+ +-------+ +-------+
+--R         (a d - b c)x atanh(--------------) - \|a \|c \|b x + a \|d x + c
+--R                             +-+ +-------+
+--R                            \|a \|d x + c
+--R   (60)  -----------------------------------------------------------------
+--R                                        +-+ +-+
+--R                                    c x\|a \|c
+--R                                                    Type: Expression(Integer)
+--E 147
+
+--S 148 of 512
+--a0129:= integrate(t0129,x)
+--E 148
+
+--S 149 of 512
+--m0129:= a0129-r0129
+--E 149
+
+--S 150 of 512
+--d0129:= D(m0129,x)
+--E 150
+
+--S 151 of 512
+t0130:= x^2/(-1+x)^(1/2)/(1+x)^(1/2)
+--R 
+--R
+--R                 2
+--R                x
+--R   (61)  ----------------
+--R          +-----+ +-----+
+--R         \|x - 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 151
+
+--S 152 of 512
+r0130:= 1/2*(-1+x)^(1/2)*x*(1+x)^(1/2)+1/2*acosh(x)
+--R 
+--R
+--R           +-----+ +-----+
+--R         x\|x - 1 \|x + 1  + acosh(x)
+--R   (62)  ----------------------------
+--R                       2
+--R                                                    Type: Expression(Integer)
+--E 152
+
+--S 153 of 512
+--a0130:= integrate(t0130,x)
+--E 153
+
+--S 154 of 512
+--m0130:= a0130-r0130
+--E 154
+
+--S 155 of 512
+--d0130:= D(m0130,x)
+--E 155
+
+--S 156 of 512
+t0131:= 1/(-1+x)^(1/2)/(1+x)^(1/2)
+--R 
+--R
+--R                 1
+--R   (63)  ----------------
+--R          +-----+ +-----+
+--R         \|x - 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 156
+
+--S 157 of 512
+r0131:= acosh(x)
+--R 
+--R
+--R   (64)  acosh(x)
+--R                                                    Type: Expression(Integer)
+--E 157
+
+ 
+--                  +-----+ +-----+
+--   (65)  - log(- \|x - 1 \|x + 1  + x)
+--                                         Type: Union(Expression(Integer),...)
+
+--S 158 of 512 ok to fail. seems there are 2 answers (see above)
+a0131:= integrate(t0131,x)
+--R 
+--R
+--R                 +-----+    +-----+
+--R   (65)  - 2log(\|x + 1  - \|x - 1 )
+--R                                         Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 512 ok to fail. due to 2 answers (see above)
+m0131:= a0131-r0131
+--R 
+--R
+--R                 +-----+    +-----+
+--R   (66)  - 2log(\|x + 1  - \|x - 1 ) - acosh(x)
+--R                                                    Type: Expression(Integer)
+--E 159
+
+--S 160 of 512
+d0131:= D(m0131,x)
+--R 
+--R
+--R          +------+
+--R          | 2         +-----+ +-----+
+--R         \|x  - 1  - \|x - 1 \|x + 1
+--R   (67)  ----------------------------
+--R                            +------+
+--R            +-----+ +-----+ | 2
+--R           \|x - 1 \|x + 1 \|x  - 1
+--R                                                    Type: Expression(Integer)
+--E 160
+
+--S 161 of 512
+t0132:= 1/(-1+x)^(1/2)/x/(1+x)^(1/2)
+--R 
+--R
+--R                 1
+--R   (68)  -----------------
+--R           +-----+ +-----+
+--R         x\|x - 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 161
+
+--S 162 of 512
+r0132:= 2*atan((-1+x)^(1/2)/(1+x)^(1/2))
+--R 
+--R
+--R                +-----+
+--R               \|x - 1
+--R   (69)  2atan(--------)
+--R                +-----+
+--R               \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 162
+
+ 
+
+--                  +-----+ +-----+
+--              220\|x - 1 \|x + 1  - 21
+--   (70)  atan(------------------------)
+--                 +-----+ +-----+
+--              21\|x - 1 \|x + 1  + 220
+--                                         Type: Union(Expression(Integer),...)
+
+--S 163 of 512 ok to fail. seems there are 2 answers (see above)
+a0132:= integrate(t0132,x)
+--R 
+--R
+--R                    +-----+ +-----+
+--R                416\|x - 1 \|x + 1  + 87
+--R   (70)  - atan(------------------------)
+--R                   +-----+ +-----+
+--R                87\|x - 1 \|x + 1  - 416
+--R                                         Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 512ok to fail. due to 2 answers (see above)
+m0132:= a0132-r0132
+--R 
+--R
+--R                    +-----+ +-----+                +-----+
+--R                416\|x - 1 \|x + 1  + 87          \|x - 1
+--R   (71)  - atan(------------------------) - 2atan(--------)
+--R                   +-----+ +-----+                 +-----+
+--R                87\|x - 1 \|x + 1  - 416          \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 164
+
+--S 165 of 512
+d0132:= D(m0132,x)
+--R 
+--R
+--R   (72)  0
+--R                                                    Type: Expression(Integer)
+--E 165
+
+--S 166 of 512
+t0133:= x^2*(-1+x)^(1/2)*(1+x)^(1/2)
+--R 
+--R
+--R          2 +-----+ +-----+
+--R   (73)  x \|x - 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 166
+
+--S 167 of 512
+r0133:= -1/8*(-1+x)^(1/2)*x*(1+x)^(1/2)+1/4*(-1+x)^(1/2)*x^3*(1+x)^(1/2)-_
+        1/8*acosh(x)
+--R 
+--R
+--R            3      +-----+ +-----+
+--R         (2x  - x)\|x - 1 \|x + 1  - acosh(x)
+--R   (74)  ------------------------------------
+--R                           8
+--R                                                    Type: Expression(Integer)
+--E 167
+
+ 
+
+--                  +-----+ +-----+           3      +-----+ +-----+
+--         - log(- \|x - 1 \|x + 1  - x) + (2x  - x)\|x - 1 \|x + 1
+--   (75)  ---------------------------------------------------------
+--                                     8
+--                                         Type: Union(Expression(Integer),...)
+
+--S 168 of 512 ok to fail. seems there are 2 answers (see above)
+a0133:= integrate(t0133,x)
+--R 
+--R
+--R                +-----+ +-----+           3      +-----+ +-----+
+--R         - log(\|x - 1 \|x + 1  + x) + (2x  - x)\|x - 1 \|x + 1
+--R   (75)  -------------------------------------------------------
+--R                                    8
+--R                                         Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 512 ok to fail. due to 2 answers (see above)
+m0133:= a0133-r0133
+--R 
+--R
+--R                +-----+ +-----+
+--R         - log(\|x - 1 \|x + 1  + x) + acosh(x)
+--R   (76)  --------------------------------------
+--R                            8
+--R                                                    Type: Expression(Integer)
+--E 169
+
+--S 170 of 512
+d0133:= D(m0133,x)
+--R 
+--R
+--R            +------+
+--R            | 2         +-----+ +-----+
+--R         - \|x  - 1  + \|x - 1 \|x + 1
+--R   (77)  ------------------------------
+--R                             +------+
+--R             +-----+ +-----+ | 2
+--R           8\|x - 1 \|x + 1 \|x  - 1
+--R                                                    Type: Expression(Integer)
+--E 170
+
+--S 171 of 512
+t0134:= (-1+x)^(1/2)*(1+x)^(1/2)
+--R 
+--R
+--R          +-----+ +-----+
+--R   (78)  \|x - 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 171
+
+--S 172 of 512
+r0134:= 1/2*(-1+x)^(1/2)*x*(1+x)^(1/2)-1/2*acosh(x)
+--R 
+--R
+--R           +-----+ +-----+
+--R         x\|x - 1 \|x + 1  - acosh(x)
+--R   (79)  ----------------------------
+--R                       2
+--R                                                    Type: Expression(Integer)
+--E 172
+
+ 
+
+--                +-----+ +-----+          +-----+ +-----+
+--         - log(\|x - 1 \|x + 1  + x) + x\|x - 1 \|x + 1
+--   (80)  -----------------------------------------------
+--                                2
+--                                         Type: Union(Expression(Integer),...)
+
+--S 173 of 512 ok to fail. seems there are 2 answers (see above)
+a0134:= integrate(t0134,x)
+--R 
+--R
+--R   (80)
+--R           +-----+ +-----+     2          +-----+    +-----+
+--R       (4x\|x - 1 \|x + 1  - 4x  + 2)log(\|x + 1  - \|x - 1 )
+--R     + 
+--R            3      +-----+ +-----+     4     2
+--R       (- 2x  + x)\|x - 1 \|x + 1  + 2x  - 2x
+--R  /
+--R        +-----+ +-----+     2
+--R     4x\|x - 1 \|x + 1  - 4x  + 2
+--R                                         Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 512 ok to fail. due to 2 answers, see above
+m0134:= a0134-r0134
+--R 
+--R
+--R               +-----+    +-----+
+--R         2log(\|x + 1  - \|x - 1 ) + acosh(x)
+--R   (81)  ------------------------------------
+--R                           2
+--R                                                    Type: Expression(Integer)
+--E 174
+
+--S 175 of 512
+d0134:= D(m0134,x)
+--R 
+--R
+--R            +------+
+--R            | 2         +-----+ +-----+
+--R         - \|x  - 1  + \|x - 1 \|x + 1
+--R   (82)  ------------------------------
+--R                             +------+
+--R             +-----+ +-----+ | 2
+--R           2\|x - 1 \|x + 1 \|x  - 1
+--R                                                    Type: Expression(Integer)
+--E 175
+
+--S 176 of 512
+t0135:= (-1+x)^(1/2)*(1+x)^(1/2)/x^2
+--R 
+--R
+--R          +-----+ +-----+
+--R         \|x - 1 \|x + 1
+--R   (83)  ----------------
+--R                 2
+--R                x
+--R                                                    Type: Expression(Integer)
+--E 176
+
+--S 177 of 512
+r0135:= -(-1+x)^(1/2)*(1+x)^(1/2)/x+acosh(x)
+--R 
+--R
+--R            +-----+ +-----+
+--R         - \|x - 1 \|x + 1  + x acosh(x)
+--R   (84)  -------------------------------
+--R                        x
+--R                                                    Type: Expression(Integer)
+--E 177
+
+ 
+
+--                      +-----+ +-----+           +-----+ +-----+
+--         - 16x log(- \|x - 1 \|x + 1  + x) - 16\|x - 1 \|x + 1  + 19x
+--   (85)  ------------------------------------------------------------
+--                                      16x
+--                                         Type: Union(Expression(Integer),...)
+
+--S 178 of 512 ok to fail. seems there are 2 answers (see above)
+a0135:= integrate(t0135,x)
+--R 
+--R
+--R                  +-----+ +-----+         +-----+ +-----+
+--R         - x log(\|x - 1 \|x + 1  - x) - \|x - 1 \|x + 1  + x
+--R   (85)  ----------------------------------------------------
+--R                                   x
+--R                                         Type: Union(Expression(Integer),...)
+--E 178
+
+--S 179 of 512 ok to fail. due to 2 answers (see above)
+m0135:= a0135-r0135
+--R 
+--R
+--R                +-----+ +-----+
+--R   (86)  - log(\|x - 1 \|x + 1  - x) - acosh(x) + 1
+--R                                                    Type: Expression(Integer)
+--E 179
+
+--S 180 of 512
+d0135:= D(m0135,x)
+--R 
+--R
+--R          +------+
+--R          | 2         +-----+ +-----+
+--R         \|x  - 1  - \|x - 1 \|x + 1
+--R   (87)  ----------------------------
+--R                            +------+
+--R            +-----+ +-----+ | 2
+--R           \|x - 1 \|x + 1 \|x  - 1
+--R                                                    Type: Expression(Integer)
+--E 180
+
+--S 181 of 512
+t0136:= 1/(1+2*x)^(1/2)/(3+2*x)^(1/2)
+--R 
+--R
+--R                  1
+--R   (88)  ------------------
+--R          +------+ +------+
+--R         \|2x + 1 \|2x + 3
+--R                                                    Type: Expression(Integer)
+--E 181
+
+--S 182 of 512
+r0136:= asinh(1/2*(1+2*x)^(1/2)*2^(1/2))
+--R 
+--R
+--R                +-+ +------+
+--R               \|2 \|2x + 1
+--R   (89)  asinh(-------------)
+--R                     2
+--R                                                    Type: Expression(Integer)
+--E 182
+
+ 
+
+--                  +------+ +------+
+--           log(- \|2x + 1 \|2x + 3  + 2x + 2)
+--   (90)  - ----------------------------------
+--                            2
+--                                         Type: Union(Expression(Integer),...)
+
+--S 183 of 512 ok to fail. seems there are 2 answers (see above)
+a0136:= integrate(t0136,x)
+--R 
+--R
+--R                +------+    +------+
+--R   (90)  - log(\|2x + 3  - \|2x + 1 )
+--R                                         Type: Union(Expression(Integer),...)
+--E 183
+
+--S 184 of 512 ok to fail. due to 2 answers (see above)
+m0136:= a0136-r0136
+--R 
+--R
+--R                                               +-+ +------+
+--R                +------+    +------+          \|2 \|2x + 1
+--R   (91)  - log(\|2x + 3  - \|2x + 1 ) - asinh(-------------)
+--R                                                    2
+--R                                                    Type: Expression(Integer)
+--E 184
+
+--S 185 of 512
+d0136:= D(m0136,x)
+--R 
+--R
+--R   (92)  0
+--R                                                    Type: Expression(Integer)
+--E 185
+
+--S 186 of 512
+t0137:= 1/x/(-2+3*x)^(1/2)/(3+5*x)^(1/2)
+--R 
+--R
+--R                  1
+--R   (93)  -------------------
+--R           +------+ +------+
+--R         x\|3x - 2 \|5x + 3
+--R                                                    Type: Expression(Integer)
+--E 186
+
+--S 187 of 512
+r0137:= 1/3*6^(1/2)*atan(1/2*6^(1/2)*(-2+3*x)^(1/2)/(3+5*x)^(1/2))
+--R 
+--R
+--R                   +-+ +------+
+--R          +-+     \|6 \|3x - 2
+--R         \|6 atan(-------------)
+--R                      +------+
+--R                    2\|5x + 3
+--R   (94)  -----------------------
+--R                    3
+--R                                                    Type: Expression(Integer)
+--E 187
+
+ 
+
+--                             +-+ +-+ +------+ +------+               +-+ +-+
+--            +-+ +-+     3192\|2 \|3 \|3x - 2 \|5x + 3  + (67x + 804)\|2 \|3
+--           \|2 \|3 atan(----------------------------------------------------)
+--                                    +------+ +------+
+--                                804\|3x - 2 \|5x + 3  - 1596x - 19152
+--   (95)  - ------------------------------------------------------------------
+--                                            6
+--                                         Type: Union(Expression(Integer),...)
+
+--S 188 of 512 ok to fail. seems there are 2 answers (see above)
+a0137:= integrate(t0137,x)
+--R 
+--R
+--R                            +-+ +-+ +------+ +------+                 +-+ +-+
+--R            +-+ +-+     912\|2 \|3 \|3x - 2 \|5x + 3  + (337x + 4044)\|2 \|3
+--R           \|2 \|3 atan(-----------------------------------------------------)
+--R                                      +------+ +------+
+--R                                 4044\|3x - 2 \|5x + 3  - 456x - 5472
+--R   (95)  - -------------------------------------------------------------------
+--R                                            6
+--R                                         Type: Union(Expression(Integer),...)
+--E 188
+
+--S 189 of 512 ok to fail. due to 2 answers (see above)
+m0137:= a0137-r0137
+--R 
+--R
+--R   (96)
+--R                          +-+ +-+ +------+ +------+                 +-+ +-+
+--R          +-+ +-+     912\|2 \|3 \|3x - 2 \|5x + 3  + (337x + 4044)\|2 \|3
+--R       - \|2 \|3 atan(-----------------------------------------------------)
+--R                                    +------+ +------+
+--R                               4044\|3x - 2 \|5x + 3  - 456x - 5472
+--R     + 
+--R                    +-+ +------+
+--R           +-+     \|6 \|3x - 2
+--R       - 2\|6 atan(-------------)
+--R                       +------+
+--R                     2\|5x + 3
+--R  /
+--R     6
+--R                                                    Type: Expression(Integer)
+--E 189
+
+--S 190 of 512
+d0137:= D(m0137,x)
+--R 
+--R
+--R   (97)  0
+--R                                                    Type: Expression(Integer)
+--E 190
+
+--S 191 of 512
+t0138:= 1/(-1+x)^(3/2)/x/(1+x)^(3/2)
+--R 
+--R
+--R                     1
+--R   (98)  ------------------------
+--R           3      +-----+ +-----+
+--R         (x  - x)\|x - 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 191
+
+--S 192 of 512
+r0138:= -1/(-1+x)^(1/2)/(1+x)^(1/2)-2*atan((-1+x)^(1/2)/(1+x)^(1/2))
+--R 
+--R
+--R                                  +-----+
+--R             +-----+ +-----+     \|x - 1
+--R         - 2\|x - 1 \|x + 1 atan(--------) - 1
+--R                                  +-----+
+--R                                 \|x + 1
+--R   (99)  -------------------------------------
+--R                     +-----+ +-----+
+--R                    \|x - 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 192
+
+ 
+
+--   (100)
+--                       +-----+ +-----+
+--       2           416\|x - 1 \|x + 1  + 87       +-----+ +-----+      2
+--   (24x  - 24)atan(------------------------) - 24\|x - 1 \|x + 1  + 19x  - 19
+--                      +-----+ +-----+
+--                   87\|x - 1 \|x + 1  - 416
+--   --------------------------------------------------------------------------
+--                                       2
+--                                    24x  - 24
+--                                         Type: Union(Expression(Integer),...)
+
+--S 193 of 512 ok to fail. seems there are 2 answers (see above)
+a0138:= integrate(t0138,x)
+--R 
+--R
+--R   (100)
+--R             +-----+ +-----+     2           +-----+ +-----+
+--R       (- 2x\|x - 1 \|x + 1  + 2x  - 2)atan(\|x - 1 \|x + 1  - x)
+--R     + 
+--R        +-----+ +-----+
+--R       \|x - 1 \|x + 1  - x
+--R  /
+--R       +-----+ +-----+    2
+--R     x\|x - 1 \|x + 1  - x  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 193
+
+--S 194 of 512 ok to fail. due to 2 answers (see above)
+m0138:= a0138-r0138
+--R 
+--R
+--R                                                 +-----+
+--R                   +-----+ +-----+              \|x - 1
+--R   (101)  - 2atan(\|x - 1 \|x + 1  - x) + 2atan(--------)
+--R                                                 +-----+
+--R                                                \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 194
+
+--S 195 of 512
+d0138:= D(m0138,x)
+--R 
+--R
+--R   (102)  0
+--R                                                    Type: Expression(Integer)
+--E 195
+
+--S 196 of 512
+t0139:= x*(1-x)^(1/2)*(1+x)^(1/2)
+--R 
+--R
+--R            +-------+ +-----+
+--R   (103)  x\|- x + 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 196
+
+--S 197 of 512
+r0139:= -1/3*(1-x^2)^(3/2)
+--R 
+--R
+--R                   +--------+
+--R            2      |   2
+--R          (x  - 1)\|- x  + 1
+--R   (104)  -------------------
+--R                   3
+--R                                                    Type: Expression(Integer)
+--E 197
+
+--S 198 of 512
+a0139:= integrate(t0139,x)
+--R 
+--R
+--R            2      +-------+ +-----+
+--R          (x  - 1)\|- x + 1 \|x + 1
+--R   (105)  --------------------------
+--R                       3
+--R                                         Type: Union(Expression(Integer),...)
+--E 198
+
+--S 199 of 512
+m0139:= a0139-r0139
+--R 
+--R
+--R                                                  +--------+
+--R            2      +-------+ +-----+       2      |   2
+--R          (x  - 1)\|- x + 1 \|x + 1  + (- x  + 1)\|- x  + 1
+--R   (106)  --------------------------------------------------
+--R                                   3
+--R                                                    Type: Expression(Integer)
+--E 199
+
+--S 200 of 512
+d0139:= D(m0139,x)
+--R 
+--R
+--R                                                  +--------+
+--R            3      +-------+ +-----+       3      |   2
+--R          (x  - x)\|- x + 1 \|x + 1  + (- x  + x)\|- x  + 1
+--R   (107)  --------------------------------------------------
+--R                      +--------+
+--R                      |   2      +-------+ +-----+
+--R                     \|- x  + 1 \|- x + 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 200
+
+--S 201 of 512
+t0140:= x*(1+(1-x)^(1/2)*(1+x)^(1/2))
+--R 
+--R
+--R            +-------+ +-----+
+--R   (108)  x\|- x + 1 \|x + 1  + x
+--R                                                    Type: Expression(Integer)
+--E 201
+
+--S 202 of 512
+r0140:= 1/2*x^2-1/3*(1-x^2)^(3/2)
+--R 
+--R
+--R                    +--------+
+--R             2      |   2          2
+--R          (2x  - 2)\|- x  + 1  + 3x
+--R   (109)  --------------------------
+--R                       6
+--R                                                    Type: Expression(Integer)
+--E 202
+
+--S 203 of 512
+a0140:= integrate(t0140,x)
+--R 
+--R
+--R             2      +-------+ +-----+     2
+--R          (2x  - 2)\|- x + 1 \|x + 1  + 3x
+--R   (110)  ---------------------------------
+--R                          6
+--R                                         Type: Union(Expression(Integer),...)
+--E 203
+
+--S 204 of 512
+m0140:= a0140-r0140
+--R 
+--R
+--R                                                  +--------+
+--R            2      +-------+ +-----+       2      |   2
+--R          (x  - 1)\|- x + 1 \|x + 1  + (- x  + 1)\|- x  + 1
+--R   (111)  --------------------------------------------------
+--R                                   3
+--R                                                    Type: Expression(Integer)
+--E 204
+
+--S 205 of 512
+d0140:= D(m0140,x)
+--R 
+--R
+--R                                                  +--------+
+--R            3      +-------+ +-----+       3      |   2
+--R          (x  - x)\|- x + 1 \|x + 1  + (- x  + x)\|- x  + 1
+--R   (112)  --------------------------------------------------
+--R                      +--------+
+--R                      |   2      +-------+ +-----+
+--R                     \|- x  + 1 \|- x + 1 \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 205
+
+--S 206 of 512
+t0141:= x*(1+1/(2+x)^(1/2)/(3+x)^(1/2))
+--R 
+--R
+--R            +-----+ +-----+
+--R          x\|x + 2 \|x + 3  + x
+--R   (113)  ---------------------
+--R              +-----+ +-----+
+--R             \|x + 2 \|x + 3
+--R                                                    Type: Expression(Integer)
+--E 206
+
+--S 207 of 512
+r0141:= 1/2*x^2+(2+x)^(1/2)*(3+x)^(1/2)-5*asinh((2+x)^(1/2))
+--R 
+--R
+--R                     +-----+      +-----+ +-----+    2
+--R          - 10asinh(\|x + 2 ) + 2\|x + 2 \|x + 3  + x
+--R   (114)  --------------------------------------------
+--R                                2
+--R                                                    Type: Expression(Integer)
+--E 207
+
+ 
+
+--   (115)
+--                          +-----+ +-----+       2
+--         ((- 640x - 1600)\|x + 2 \|x + 3  - 640x  - 3200x - 3920)
+--      *
+--              +-----+    +-----+
+--         log(\|x + 3  + \|x + 2 )
+--     + 
+--           3       2               +-----+ +-----+      4       3       2
+--       (64x  + 288x  + 232x - 236)\|x + 2 \|x + 3  + 64x  + 448x  + 944x  + 328x
+--     + 
+--       - 579
+--  /
+--                  +-----+ +-----+       2
+--     (128x + 320)\|x + 2 \|x + 3  + 128x  + 640x + 784
+--                                         Type: Union(Expression(Integer),...)
+
+--S 208 of 512 ok to fail. seems there are 2 answers (see above)
+a0141:= integrate(t0141,x)
+--R 
+--R
+--R                     +-----+ +-----+               +-----+ +-----+    2
+--R          - 5log(- 2\|x + 2 \|x + 3  - 2x - 5) + 2\|x + 2 \|x + 3  + x
+--R   (115)  -------------------------------------------------------------
+--R                                        2
+--R                                         Type: Union(Expression(Integer),...)
+--E 208
+
+--S 209 of 512 ok to fail. due to 2 answers (see above)
+m0141:= a0141-r0141
+--R 
+--R
+--R                     +-----+ +-----+                      +-----+
+--R          - 5log(- 2\|x + 2 \|x + 3  - 2x - 5) + 10asinh(\|x + 2 )
+--R   (116)  --------------------------------------------------------
+--R                                      2
+--R                                                    Type: Expression(Integer)
+--E 209
+
+--S 210 of 512
+d0141:= D(m0141,x)
+--R 
+--R
+--R   (117)  0
+--R                                                    Type: Expression(Integer)
+--E 210
+
+--S 211 of 512
+t0142:= x^(-3+n)/((a+b*x)^n)
+--R 
+--R
+--R             n - 3
+--R            x
+--R   (118)  ----------
+--R                   n
+--R          (b x + a)
+--R                                                    Type: Expression(Integer)
+--E 211
+
+--S 212 of 512
+r0142:= 1/a^2/(-1+n)/(-2+n)*(a+b*x)^(-n)*(-x^(-2+n)*a^2+x^(-2+n)*a^2*n+_
+        x^(-1+n)*a*n*b+x^n*b^2)
+--R 
+--R
+--R            2 n          n - 1     2     2  n - 2          - n
+--R          (b x  + a b n x      + (a n - a )x     )(b x + a)
+--R   (119)  ----------------------------------------------------
+--R                             2 2     2      2
+--R                            a n  - 3a n + 2a
+--R                                                    Type: Expression(Integer)
+--E 212
+
+--S 213 of 512
+a0142:= integrate(t0142,x)
+--R 
+--R
+--R            2 3          2     2     2     (n - 3)log(x)
+--R          (b x  + a b n x  + (a n - a )x)%e
+--R   (120)  ----------------------------------------------
+--R                  2 2     2      2   n log(b x + a)
+--R                (a n  - 3a n + 2a )%e
+--R                                         Type: Union(Expression(Integer),...)
+--E 213
+
+--S 214 of 512
+m0142:= a0142-r0142
+--R 
+--R
+--R   (121)
+--R           2 n          n - 1       2     2  n - 2          - n  n log(b x + a)
+--R       (- b x  - a b n x      + (- a n + a )x     )(b x + a)   %e
+--R     + 
+--R         2 3          2     2     2     (n - 3)log(x)
+--R       (b x  + a b n x  + (a n - a )x)%e
+--R  /
+--R       2 2     2      2   n log(b x + a)
+--R     (a n  - 3a n + 2a )%e
+--R                                                    Type: Expression(Integer)
+--E 214
+
+--S 215 of 512
+d0142:= D(m0142,x)
+--R 
+--R
+--R   (122)
+--R                  2   n - 1           2          n - 2
+--R               - b n x      + (- a b n  + a b n)x
+--R             + 
+--R                   2 2     2      2  n - 3
+--R               (- a n  + 3a n - 2a )x
+--R          *
+--R                      - n
+--R             (b x + a)
+--R         + 
+--R             3   n      2 2 n - 1     2   2    2     n - 2          - n - 1
+--R           (b n x  + a b n x      + (a b n  - a b n)x     )(b x + a)
+--R      *
+--R           n log(b x + a)
+--R         %e
+--R     + 
+--R         2 2     2      2   (n - 3)log(x)
+--R       (a n  - 3a n + 2a )%e
+--R  /
+--R       2 2     2      2   n log(b x + a)
+--R     (a n  - 3a n + 2a )%e
+--R                                                    Type: Expression(Integer)
+--E 215
+
+--S 216 of 512
+t0143:= (a+b*x^(1/2))^3
+--R 
+--R
+--R            3      2   +-+       2     3
+--R   (123)  (b x + 3a b)\|x  + 3a b x + a
+--R                                                    Type: Expression(Integer)
+--E 216
+
+--S 217 of 512
+r0143:= 1/10*(a+b*x^(1/2))^4*(-a+4*b*x^(1/2))/b^2
+--R 
+--R
+--R             5 2      2 3   +-+        4 2      3 2     5
+--R          (4b x  + 20a b x)\|x  + 15a b x  + 10a b x - a
+--R   (124)  -----------------------------------------------
+--R                                   2
+--R                                10b
+--R                                                    Type: Expression(Integer)
+--E 217
+
+--S 218 of 512
+a0143:= integrate(t0143,x)
+--R 
+--R
+--R             3 2      2     +-+        2 2      3
+--R          (4b x  + 20a b x)\|x  + 15a b x  + 10a x
+--R   (125)  ----------------------------------------
+--R                             10
+--R                                         Type: Union(Expression(Integer),...)
+--E 218
+
+--S 219 of 512
+m0143:= a0143-r0143
+--R 
+--R
+--R            5
+--R           a
+--R   (126)  ----
+--R             2
+--R          10b
+--R                                                    Type: Expression(Integer)
+--E 219
+
+--S 220 of 512
+d0143:= D(m0143,x)
+--R 
+--R
+--R   (127)  0
+--R                                                    Type: Expression(Integer)
+--E 220
+
+--S 221 of 512
+t0144:= (a+b*x^(1/2))^4
+--R 
+--R
+--R               3      3   +-+    4 2     2 2     4
+--R   (128)  (4a b x + 4a b)\|x  + b x  + 6a b x + a
+--R                                                    Type: Expression(Integer)
+--E 221
+
+--S 222 of 512
+r0144:= 1/15*(a+b*x^(1/2))^5*(-a+5*b*x^(1/2))/b^2
+--R 
+--R
+--R                5 2      3 3   +-+     6 3      2 4 2      4 2     6
+--R          (24a b x  + 40a b x)\|x  + 5b x  + 45a b x  + 15a b x - a
+--R   (129)  ----------------------------------------------------------
+--R                                        2
+--R                                     15b
+--R                                                    Type: Expression(Integer)
+--E 222
+
+--S 223 of 512
+a0144:= integrate(t0144,x)
+--R 
+--R
+--R                3 2      3     +-+     4 3      2 2 2      4
+--R          (24a b x  + 40a b x)\|x  + 5b x  + 45a b x  + 15a x
+--R   (130)  ---------------------------------------------------
+--R                                   15
+--R                                         Type: Union(Expression(Integer),...)
+--E 223
+
+--S 224 of 512
+m0144:= a0144-r0144
+--R 
+--R
+--R            6
+--R           a
+--R   (131)  ----
+--R             2
+--R          15b
+--R                                                    Type: Expression(Integer)
+--E 224
+
+--S 225 of 512
+d0144:= D(m0144,x)
+--R 
+--R
+--R   (132)  0
+--R                                                    Type: Expression(Integer)
+--E 225
+
+--S 226 of 512
+t0145:= (a+b*x^(1/2))^5
+--R 
+--R
+--R            5 2      2 3      4   +-+       4 2      3 2     5
+--R   (133)  (b x  + 10a b x + 5a b)\|x  + 5a b x  + 10a b x + a
+--R                                                    Type: Expression(Integer)
+--E 226
+
+--S 227 of 512
+r0145:= 1/21*(a+b*x^(1/2))^6*(-a+6*b*x^(1/2))/b^2
+--R 
+--R
+--R   (134)
+--R      7 3      2 5 2      4 3   +-+        6 3       3 4 2      5 2     7
+--R   (6b x  + 84a b x  + 70a b x)\|x  + 35a b x  + 105a b x  + 21a b x - a
+--R   ----------------------------------------------------------------------
+--R                                       2
+--R                                    21b
+--R                                                    Type: Expression(Integer)
+--E 227
+
+--S 228 of 512
+a0145:= integrate(t0145,x)
+--R 
+--R
+--R             5 3      2 3 2      4     +-+        4 3       3 2 2      5
+--R          (6b x  + 84a b x  + 70a b x)\|x  + 35a b x  + 105a b x  + 21a x
+--R   (135)  ---------------------------------------------------------------
+--R                                         21
+--R                                         Type: Union(Expression(Integer),...)
+--E 228
+
+--S 229 of 512
+m0145:= a0145-r0145
+--R 
+--R
+--R            7
+--R           a
+--R   (136)  ----
+--R             2
+--R          21b
+--R                                                    Type: Expression(Integer)
+--E 229
+
+--S 230 of 512
+d0145:= D(m0145,x)
+--R 
+--R
+--R   (137)  0
+--R                                                    Type: Expression(Integer)
+--E 230
+
+--S 231 of 512
+t0146:= (a+b*x^(1/2))^6
+--R 
+--R
+--R               5 2      3 3      5   +-+    6 3      2 4 2      4 2     6
+--R   (138)  (6a b x  + 20a b x + 6a b)\|x  + b x  + 15a b x  + 15a b x + a
+--R                                                    Type: Expression(Integer)
+--E 231
+
+--S 232 of 512
+r0146:= 1/28*(a+b*x^(1/2))^7*(-a+7*b*x^(1/2))/b^2
+--R 
+--R
+--R   (139)
+--R             7 3       3 5 2       5 3   +-+     8 4       2 6 3       4 4 2
+--R       (48a b x  + 224a b x  + 112a b x)\|x  + 7b x  + 140a b x  + 210a b x
+--R     + 
+--R          6 2     8
+--R       28a b x - a
+--R  /
+--R        2
+--R     28b
+--R                                                    Type: Expression(Integer)
+--E 232
+
+--S 233 of 512
+a0146:= integrate(t0146,x)
+--R 
+--R
+--R   (140)
+--R         5 3       3 3 2       5     +-+     6 4       2 4 3       4 2 2      6
+--R   (48a b x  + 224a b x  + 112a b x)\|x  + 7b x  + 140a b x  + 210a b x  + 28a x
+--R   -----------------------------------------------------------------------------
+--R                                         28
+--R                                         Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 512
+m0146:= a0146-r0146
+--R 
+--R
+--R            8
+--R           a
+--R   (141)  ----
+--R             2
+--R          28b
+--R                                                    Type: Expression(Integer)
+--E 234
+
+--S 235 of 512
+d0146:= D(m0146,x)
+--R 
+--R
+--R   (142)  0
+--R                                                    Type: Expression(Integer)
+--E 235
+
+--S 236 of 512
+t0147:= (a+b*x^(1/2))^7
+--R 
+--R
+--R   (143)
+--R     7 3      2 5 2      4 3      6   +-+       6 3      3 4 2      5 2     7
+--R   (b x  + 21a b x  + 35a b x + 7a b)\|x  + 7a b x  + 35a b x  + 21a b x + a
+--R                                                    Type: Expression(Integer)
+--E 236
+
+--S 237 of 512
+r0147:= 1/36*(a+b*x^(1/2))^8*(-a+8*b*x^(1/2))/b^2
+--R 
+--R
+--R   (144)
+--R          9 4       2 7 3       4 5 2       6 3   +-+        8 4       3 6 3
+--R       (8b x  + 216a b x  + 504a b x  + 168a b x)\|x  + 63a b x  + 420a b x
+--R     + 
+--R           5 4 2      7 2     9
+--R       378a b x  + 36a b x - a
+--R  /
+--R        2
+--R     36b
+--R                                                    Type: Expression(Integer)
+--E 237
+
+--S 238 of 512
+a0147:= integrate(t0147,x)
+--R 
+--R
+--R   (145)
+--R          7 4       2 5 3       4 3 2       6     +-+        6 4       3 4 3
+--R       (8b x  + 216a b x  + 504a b x  + 168a b x)\|x  + 63a b x  + 420a b x
+--R     + 
+--R           5 2 2      7
+--R       378a b x  + 36a x
+--R  /
+--R     36
+--R                                         Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 512
+m0147:= a0147-r0147
+--R 
+--R
+--R            9
+--R           a
+--R   (146)  ----
+--R             2
+--R          36b
+--R                                                    Type: Expression(Integer)
+--E 239
+
+--S 240 of 512
+d0147:= D(m0147,x)
+--R 
+--R
+--R   (147)  0
+--R                                                    Type: Expression(Integer)
+--E 240
+
+--S 241 of 512
+t0148:= (a+b*x^(1/2))^8
+--R 
+--R
+--R   (148)
+--R          7 3      3 5 2      5 3      7   +-+    8 4      2 6 3      4 4 2
+--R     (8a b x  + 56a b x  + 56a b x + 8a b)\|x  + b x  + 28a b x  + 70a b x
+--R   + 
+--R        6 2     8
+--R     28a b x + a
+--R                                                    Type: Expression(Integer)
+--E 241
+
+--S 242 of 512
+r0148:= 1/45*(a+b*x^(1/2))^9*(-a+9*b*x^(1/2))/b^2
+--R 
+--R
+--R   (149)
+--R             9 4       3 7 3        5 5 2       7 3   +-+     10 5       2 8 4
+--R       (80a b x  + 720a b x  + 1008a b x  + 240a b x)\|x  + 9b  x  + 315a b x
+--R     + 
+--R            4 6 3       6 4 2      8 2     10
+--R       1050a b x  + 630a b x  + 45a b x - a
+--R  /
+--R        2
+--R     45b
+--R                                                    Type: Expression(Integer)
+--E 242
+
+--S 243 of 512
+a0148:= integrate(t0148,x)
+--R 
+--R
+--R   (150)
+--R             7 4       3 5 3        5 3 2       7     +-+     8 5       2 6 4
+--R       (80a b x  + 720a b x  + 1008a b x  + 240a b x)\|x  + 9b x  + 315a b x
+--R     + 
+--R            4 4 3       6 2 2      8
+--R       1050a b x  + 630a b x  + 45a x
+--R  /
+--R     45
+--R                                         Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 512
+m0148:= a0148-r0148
+--R 
+--R
+--R            10
+--R           a
+--R   (151)  ----
+--R             2
+--R          45b
+--R                                                    Type: Expression(Integer)
+--E 244
+
+--S 245 of 512
+d0148:= D(m0148,x)
+--R 
+--R
+--R   (152)  0
+--R                                                    Type: Expression(Integer)
+--E 245
+
+--S 246 of 512
+t0149:= 1/(4+b*x)^(1/2)/(-4+b*x)^(1/2)
+--R 
+--R
+--R                    1
+--R   (153)  --------------------
+--R           +-------+ +-------+
+--R          \|b x - 4 \|b x + 4
+--R                                                    Type: Expression(Integer)
+--E 246
+
+--S 247 of 512
+r0149:= acosh(1/4*b*x)/b
+--R 
+--R
+--R                b x
+--R          acosh(---)
+--R                 4
+--R   (154)  ----------
+--R               b
+--R                                                    Type: Expression(Integer)
+--E 247
+
+--S 248 of 512
+--a0149:= integrate(t0149,x)
+--E 248
+
+--S 249 of 512
+--m0149:= a0149-r0149
+--E 249
+
+--S 250 of 512
+--d0149:= D(m0149,x)
+--   >> Error detected within library code:
+--   integrate: implementation incomplete (non-algebraic residues)
+--E 250
+
+--S 251 of 512
+t0150:= 1/((-b+b*c)/d+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                        1
+--R   (155)  ----------------------------
+--R           +---------------+
+--R           |b d x + b c - b  +-------+
+--R           |--------------- \|d x + c
+--R          \|       d
+--R                                                    Type: Expression(Integer)
+--E 251
+
+--S 252 of 512
+r0150:= 2*asinh(d^(1/2)*(b*(-1+c+d*x)/d)^(1/2)/b^(1/2))/b^(1/2)/d^(1/2)
+--R 
+--R
+--R                      +---------------+
+--R                  +-+ |b d x + b c - b
+--R                 \|d  |---------------
+--R                     \|       d
+--R          2asinh(----------------------)
+--R                           +-+
+--R                          \|b
+--R   (156)  ------------------------------
+--R                      +-+ +-+
+--R                     \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 252
+
+--S 253 of 512
+--a0150:= integrate(t0150,x)
+--E 253
+
+--S 254 of 512
+--m0150:= a0150-r0150
+--E 254
+
+--S 255 of 512
+--d0150:= D(m0150,x)
+--E 255
+
+--S 256 of 512
+t0151:= 1/x^(1/2)/(-3+2*x)^(1/2)
+--R 
+--R
+--R                1
+--R   (157)  -------------
+--R           +-+ +------+
+--R          \|x \|2x - 3
+--R                                                    Type: Expression(Integer)
+--E 256
+
+--S 257 of 512
+r0151:= 2^(1/2)*asinh(1/3*(-3+2*x)^(1/2)*3^(1/2))
+--R 
+--R
+--R                     +-+ +------+
+--R           +-+      \|3 \|2x - 3
+--R   (158)  \|2 asinh(-------------)
+--R                          3
+--R                                                    Type: Expression(Integer)
+--E 257
+
+--S 258 of 512
+--a0151:= integrate(t0151,x)
+--E 258
+
+--S 259 of 512
+--m0151:= a0151-r0151
+--E 259
+
+--S 260 of 512
+--d0151:= D(m0151,x)
+--E 260
+
+--S 261 of 512
+t0152:= 1/(2+3*x)^(1/2)/(-3+2*x)^(1/2)
+--R 
+--R
+--R                   1
+--R   (159)  ------------------
+--R           +------+ +------+
+--R          \|2x - 3 \|3x + 2
+--R                                                    Type: Expression(Integer)
+--E 261
+
+--S 262 of 512
+r0152:= 1/3*6^(1/2)*asinh(1/13*39^(1/2)*(-3+2*x)^(1/2))
+--R 
+--R
+--R                     +--+ +------+
+--R           +-+      \|39 \|2x - 3
+--R          \|6 asinh(--------------)
+--R                          13
+--R   (160)  -------------------------
+--R                      3
+--R                                                    Type: Expression(Integer)
+--E 262
+
+--S 263 of 512
+--a0152:= integrate(t0152,x)
+--E 263
+
+--S 264 of 512
+--m0152:= a0152-r0152
+--E 264
+
+--S 265 of 512
+--d0152:= D(m0152,x)
+--E 265
+
+--S 266 of 512
+t0153:= 1/(a+b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                    1
+--R   (161)  --------------------
+--R           +-------+ +-------+
+--R          \|b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 266
+
+--S 267 of 512
+r0153:= 2*atanh(d^(1/2)*(a+b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(1/2)/d^(1/2)
+--R 
+--R
+--R                  +-+ +-------+
+--R                 \|d \|b x + a
+--R          2atanh(--------------)
+--R                  +-+ +-------+
+--R                 \|b \|d x + c
+--R   (162)  ----------------------
+--R                  +-+ +-+
+--R                 \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 267
+
+--S 268 of 512
+--a0153:= integrate(t0153,x)
+--E 268
+
+--S 269 of 512
+--m0153:= a0153-r0153
+--E 269
+
+--S 270 of 512
+--d0153:= D(m0153,x)
+--E 270
+
+--S 271 of 512
+t0154:= 1/((b-b*c)/d+b*x)^(1/2)/(c-d*x)^(1/2)
+--R 
+--R
+--R                         1
+--R   (163)  ------------------------------
+--R                       +---------------+
+--R           +---------+ |b d x - b c + b
+--R          \|- d x + c  |---------------
+--R                      \|       d
+--R                                                    Type: Expression(Integer)
+--E 271
+
+--S 272 of 512
+r0154:= 2*asin(d^(1/2)*(-b*(-1+c-d*x)/d)^(1/2)/b^(1/2))/b^(1/2)/d^(1/2)
+--R 
+--R
+--R                     +---------------+
+--R                 +-+ |b d x - b c + b
+--R                \|d  |---------------
+--R                    \|       d
+--R          2asin(----------------------)
+--R                          +-+
+--R                         \|b
+--R   (164)  -----------------------------
+--R                      +-+ +-+
+--R                     \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 272
+
+--S 273 of 512
+--a0154:= integrate(t0154,x)
+--E 273
+
+--S 274 of 512
+--m0154:= a0154-r0154
+--E 274
+
+--S 275 of 512
+--d0154:= D(m0154,x)
+--E 275
+
+--S 276 of 512
+t0155:= 1/(4-x)^(1/2)/x^(1/2)
+--R 
+--R
+--R                 1
+--R   (165)  --------------
+--R           +-------+ +-+
+--R          \|- x + 4 \|x
+--R                                                    Type: Expression(Integer)
+--E 276
+
+--S 277 of 512
+r0155:= 2*asin(1/2*x^(1/2))
+--R 
+--R
+--R                 +-+
+--R                \|x
+--R   (166)  2asin(----)
+--R                  2
+--R                                                    Type: Expression(Integer)
+--E 277
+
+--S 278 of 512
+--a0155:= integrate(t0155,x)
+--E 278
+
+--S 279 of 512
+--m0155:= a0155-r0155
+--E 279
+
+--S 280 of 512
+--d0155:= D(m0155,x)
+--E 280
+
+--S 281 of 512
+t0156:= 1/x^(1/2)/(3-2*x)^(1/2)
+--R 
+--R
+--R                 1
+--R   (167)  ---------------
+--R           +--------+ +-+
+--R          \|- 2x + 3 \|x
+--R                                                    Type: Expression(Integer)
+--E 281
+
+--S 282 of 512
+r0156:= 2^(1/2)*asin(1/3*6^(1/2)*x^(1/2))
+--R 
+--R
+--R                    +-+ +-+
+--R           +-+     \|6 \|x
+--R   (168)  \|2 asin(--------)
+--R                       3
+--R                                                    Type: Expression(Integer)
+--E 282
+
+--S 283 of 512
+--a0156:= integrate(t0156,x)
+--E 283
+
+--S 284 of 512
+--m0156:= a0156-r0156
+--E 284
+
+--S 285 of 512
+--d0156:= D(m0156,x)
+--E 285
+
+--S 286 of 512
+t0157:= 1/(3+5*x)^(1/2)/(3-2*x)^(1/2)
+--R 
+--R
+--R                    1
+--R   (169)  --------------------
+--R           +--------+ +------+
+--R          \|- 2x + 3 \|5x + 3
+--R                                                    Type: Expression(Integer)
+--E 286
+
+--S 287 of 512
+r0157:= 1/5*10^(1/2)*asin(1/21*42^(1/2)*(3+5*x)^(1/2))
+--R 
+--R
+--R                     +--+ +------+
+--R           +--+     \|42 \|5x + 3
+--R          \|10 asin(--------------)
+--R                          21
+--R   (170)  -------------------------
+--R                      5
+--R                                                    Type: Expression(Integer)
+--E 287
+
+--S 288 of 512
+--a0157:= integrate(t0157,x)
+--E 288
+
+--S 289 of 512
+--m0157:= a0157-r0157
+--E 289
+
+--S 290 of 512
+--d0157:= D(m0157,x)
+--E 290
+
+--S 291 of 512
+t0158:= 1/(a-b*x)^(1/2)/(c+d*x)^(1/2)
+--R 
+--R
+--R                     1
+--R   (171)  ----------------------
+--R           +---------+ +-------+
+--R          \|- b x + a \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 291
+
+--S 292 of 512
+r0158:= -2*atan(d^(1/2)*(a-b*x)^(1/2)/b^(1/2)/(c+d*x)^(1/2))/b^(1/2)/d^(1/2)
+--R 
+--R
+--R                   +---------+ +-+
+--R                  \|- b x + a \|d
+--R            2atan(----------------)
+--R                    +-+ +-------+
+--R                   \|b \|d x + c
+--R   (172)  - -----------------------
+--R                     +-+ +-+
+--R                    \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 292
+
+--S 293 of 512
+--a0158:= integrate(t0158,x)
+--E 293
+
+--S 294 of 512
+--m0158:= a0158-r0158
+--E 294
+
+--S 295 of 512
+--d0158:= D(m0158,x)
+--E 295
+
+--S 296 of 512
+t0159:= 1/(a+b*(c+d*x)^(1/2))
+--R 
+--R
+--R                 1
+--R   (173)  ---------------
+--R            +-------+
+--R          b\|d x + c  + a
+--R                                                    Type: Expression(Integer)
+--E 296
+
+--S 297 of 512
+r0159:= -2*(-b*(c+d*x)^(1/2)+a*log(a+b*(c+d*x)^(1/2)))/b^2/d
+--R 
+--R
+--R                     +-------+           +-------+
+--R          - 2a log(b\|d x + c  + a) + 2b\|d x + c
+--R   (174)  ----------------------------------------
+--R                              2
+--R                             b d
+--R                                                    Type: Expression(Integer)
+--E 297
+
+--S 298 of 512
+a0159:= integrate(t0159,x)
+--R 
+--R
+--R                     +-------+           +-------+
+--R          - 2a log(b\|d x + c  + a) + 2b\|d x + c
+--R   (175)  ----------------------------------------
+--R                              2
+--R                             b d
+--R                                         Type: Union(Expression(Integer),...)
+--E 298
+
+--S 299 of 512
+m0159:= a0159-r0159
+--R 
+--R
+--R   (176)  0
+--R                                                    Type: Expression(Integer)
+--E 299
+
+--S 300 of 512
+d0159:= D(m0159,x)
+--R 
+--R
+--R   (177)  0
+--R                                                    Type: Expression(Integer)
+--E 300
+
+--S 301 of 512
+t0160:= x^(1/2)/(1-x^2)
+--R 
+--R
+--R              +-+
+--R             \|x
+--R   (178)  - ------
+--R             2
+--R            x  - 1
+--R                                                    Type: Expression(Integer)
+--E 301
+
+--S 302 of 512
+r0160:= -atan(x^(1/2))+atanh(x^(1/2))
+--R 
+--R
+--R                 +-+          +-+
+--R   (179)  atanh(\|x ) - atan(\|x )
+--R                                                    Type: Expression(Integer)
+--E 302
+
+--S 303 of 512
+a0160:= integrate(t0160,x)
+--R 
+--R
+--R               +-+             +-+               +-+
+--R          log(\|x  + 1) - log(\|x  - 1) - 2atan(\|x )
+--R   (180)  -------------------------------------------
+--R                               2
+--R                                         Type: Union(Expression(Integer),...)
+--E 303
+
+--S 304 of 512
+m0160:= a0160-r0160
+--R 
+--R
+--R               +-+             +-+                +-+
+--R          log(\|x  + 1) - log(\|x  - 1) - 2atanh(\|x )
+--R   (181)  --------------------------------------------
+--R                                2
+--R                                                    Type: Expression(Integer)
+--E 304
+
+--S 305 of 512
+d0160:= D(m0160,x)
+--R 
+--R
+--R   (182)  0
+--R                                                    Type: Expression(Integer)
+--E 305
+
+--S 306 of 512
+t0161:= x^(1/2)/(a-b*x^2)
+--R 
+--R
+--R               +-+
+--R              \|x
+--R   (183)  - --------
+--R               2
+--R            b x  - a
+--R                                                    Type: Expression(Integer)
+--E 306
+
+--S 307 of 512
+r0161:= -(atan(b^(1/4)*x^(1/2)/a^(1/4))-_
+        atanh(b^(1/4)*x^(1/2)/a^(1/4)))/a^(1/4)/b^(3/4)
+--R 
+--R
+--R                4+-+ +-+         4+-+ +-+
+--R                \|b \|x          \|b \|x
+--R          atanh(--------) - atan(--------)
+--R                  4+-+             4+-+
+--R                  \|a              \|a
+--R   (184)  --------------------------------
+--R                      4+-+4+-+3
+--R                      \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 307
+
+--S 308 of 512
+a0161:= integrate(t0161,x)
+--R 
+--R
+--R   (185)
+--R      +------+                  +------+3    +------+                  +------+3
+--R      |   1        +-+       2  |   1        |   1        +-+       2  |   1
+--R      |------ log(\|x  + 8a b   |------ ) -  |------ log(\|x  - 8a b   |------ )
+--R     4|     3                  4|     3     4|     3                  4|     3
+--R     \|16a b                   \|16a b      \|16a b                   \|16a b
+--R   + 
+--R                            +------+3
+--R                         2  |   1
+--R                     8a b   |------
+--R        +------+           4|     3
+--R        |   1              \|16a b
+--R     2  |------ atan(---------------)
+--R       4|     3             +-+
+--R       \|16a b             \|x
+--R                                         Type: Union(Expression(Integer),...)
+--E 308
+
+--S 309 of 512
+m0161:= a0161-r0161
+--R 
+--R
+--R   (186)
+--R        +------+                           +------+3
+--R        |   1   4+-+4+-+3     +-+       2  |   1
+--R        |------ \|a \|b  log(\|x  + 8a b   |------ )
+--R       4|     3                           4|     3
+--R       \|16a b                            \|16a b
+--R     + 
+--R          +------+                           +------+3         4+-+ +-+
+--R          |   1   4+-+4+-+3     +-+       2  |   1             \|b \|x
+--R       -  |------ \|a \|b  log(\|x  - 8a b   |------ ) - atanh(--------)
+--R         4|     3                           4|     3             4+-+
+--R         \|16a b                            \|16a b              \|a
+--R     + 
+--R                                                        +------+3
+--R                                                     2  |   1
+--R                                                 8a b   |------
+--R            4+-+ +-+       +------+                    4|     3
+--R            \|b \|x        |   1   4+-+4+-+3           \|16a b
+--R       atan(--------) + 2  |------ \|a \|b  atan(---------------)
+--R              4+-+        4|     3                      +-+
+--R              \|a         \|16a b                      \|x
+--R  /
+--R     4+-+4+-+3
+--R     \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 309
+
+--S 310 of 512
+d0161:= D(m0161,x)
+--R 
+--R
+--R   (187)  0
+--R                                                    Type: Expression(Integer)
+--E 310
+
+--S 311 of 512
+t0162:= (2+3*x)^(1/2)/(a+b*x^2)
+--R 
+--R
+--R           +------+
+--R          \|3x + 2
+--R   (188)  ---------
+--R              2
+--R           b x  + a
+--R                                                    Type: Expression(Integer)
+--E 311
+
+--S 312 of 512
+r0162:= -(-(-3*a^(1/2)*(-b)^(1/2)-2*b)^(1/2)*_
+        atanh((-b)^(1/2)*(2+3*x)^(1/2)/(-3*a^(1/2)*(-b)^(1/2)-2*b)^(1/2))+_
+        (3*a^(1/2)*(-b)^(1/2)-2*b)^(1/2)*_
+        atanh((-b)^(1/2)*(2+3*x)^(1/2)/_
+        (3*a^(1/2)*(-b)^(1/2)-2*b)^(1/2)))/a^(1/2)/b
+--R 
+--R
+--R   (189)
+--R        +------------------+          +---+ +------+
+--R        |    +---+ +-+               \|- b \|3x + 2
+--R       \|- 3\|- b \|a  - 2b atanh(---------------------)
+--R                                   +------------------+
+--R                                   |    +---+ +-+
+--R                                  \|- 3\|- b \|a  - 2b
+--R     + 
+--R          +----------------+         +---+ +------+
+--R          |  +---+ +-+              \|- b \|3x + 2
+--R       - \|3\|- b \|a  - 2b atanh(-------------------)
+--R                                   +----------------+
+--R                                   |  +---+ +-+
+--R                                  \|3\|- b \|a  - 2b
+--R  /
+--R       +-+
+--R     b\|a
+--R                                                    Type: Expression(Integer)
+--E 312
+
+--S 313 of 512
+a0162:= integrate(t0162,x)
+--R 
+--R
+--R   (190)
+--R          +------------------+
+--R          |     +-------+
+--R          |     |    1
+--R          |6a b |- -----  - 2
+--R          |     |      3
+--R          |    \|  4a b
+--R          |------------------
+--R         \|        a b
+--R      *
+--R                             +------------------+
+--R                             |     +-------+
+--R                             |     |    1
+--R                             |6a b |- -----  - 2
+--R                   +-------+ |     |      3
+--R                 2 |    1    |    \|  4a b           +------+
+--R         log(2a b  |- -----  |------------------  + \|3x + 2 )
+--R                   |      3 \|        a b
+--R                  \|  4a b
+--R     + 
+--R       -
+--R             +--------------------+
+--R             |       +-------+
+--R             |       |    1
+--R             |- 6a b |- -----  - 2
+--R             |       |      3
+--R             |      \|  4a b
+--R             |--------------------
+--R            \|         a b
+--R         *
+--R                                +--------------------+
+--R                                |       +-------+
+--R                                |       |    1
+--R                                |- 6a b |- -----  - 2
+--R                      +-------+ |       |      3
+--R                    2 |    1    |      \|  4a b           +------+
+--R            log(2a b  |- -----  |--------------------  + \|3x + 2 )
+--R                      |      3 \|         a b
+--R                     \|  4a b
+--R     + 
+--R          +--------------------+
+--R          |       +-------+
+--R          |       |    1
+--R          |- 6a b |- -----  - 2
+--R          |       |      3
+--R          |      \|  4a b
+--R          |--------------------
+--R         \|         a b
+--R      *
+--R                               +--------------------+
+--R                               |       +-------+
+--R                               |       |    1
+--R                               |- 6a b |- -----  - 2
+--R                     +-------+ |       |      3
+--R                   2 |    1    |      \|  4a b           +------+
+--R         log(- 2a b  |- -----  |--------------------  + \|3x + 2 )
+--R                     |      3 \|         a b
+--R                    \|  4a b
+--R     + 
+--R       -
+--R             +------------------+
+--R             |     +-------+
+--R             |     |    1
+--R             |6a b |- -----  - 2
+--R             |     |      3
+--R             |    \|  4a b
+--R             |------------------
+--R            \|        a b
+--R         *
+--R                                  +------------------+
+--R                                  |     +-------+
+--R                                  |     |    1
+--R                                  |6a b |- -----  - 2
+--R                        +-------+ |     |      3
+--R                      2 |    1    |    \|  4a b           +------+
+--R            log(- 2a b  |- -----  |------------------  + \|3x + 2 )
+--R                        |      3 \|        a b
+--R                       \|  4a b
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 313
+
+--S 314 of 512
+m0162:= a0162-r0162
+--R 
+--R
+--R   (191)
+--R               +------------------+
+--R               |     +-------+
+--R               |     |    1
+--R               |6a b |- -----  - 2
+--R               |     |      3
+--R           +-+ |    \|  4a b
+--R         b\|a  |------------------
+--R              \|        a b
+--R      *
+--R                             +------------------+
+--R                             |     +-------+
+--R                             |     |    1
+--R                             |6a b |- -----  - 2
+--R                   +-------+ |     |      3
+--R                 2 |    1    |    \|  4a b           +------+
+--R         log(2a b  |- -----  |------------------  + \|3x + 2 )
+--R                   |      3 \|        a b
+--R                  \|  4a b
+--R     + 
+--R       -
+--R                  +--------------------+
+--R                  |       +-------+
+--R                  |       |    1
+--R                  |- 6a b |- -----  - 2
+--R                  |       |      3
+--R              +-+ |      \|  4a b
+--R            b\|a  |--------------------
+--R                 \|         a b
+--R         *
+--R                                +--------------------+
+--R                                |       +-------+
+--R                                |       |    1
+--R                                |- 6a b |- -----  - 2
+--R                      +-------+ |       |      3
+--R                    2 |    1    |      \|  4a b           +------+
+--R            log(2a b  |- -----  |--------------------  + \|3x + 2 )
+--R                      |      3 \|         a b
+--R                     \|  4a b
+--R     + 
+--R               +--------------------+
+--R               |       +-------+
+--R               |       |    1
+--R               |- 6a b |- -----  - 2
+--R               |       |      3
+--R           +-+ |      \|  4a b
+--R         b\|a  |--------------------
+--R              \|         a b
+--R      *
+--R                               +--------------------+
+--R                               |       +-------+
+--R                               |       |    1
+--R                               |- 6a b |- -----  - 2
+--R                     +-------+ |       |      3
+--R                   2 |    1    |      \|  4a b           +------+
+--R         log(- 2a b  |- -----  |--------------------  + \|3x + 2 )
+--R                     |      3 \|         a b
+--R                    \|  4a b
+--R     + 
+--R       -
+--R                  +------------------+
+--R                  |     +-------+
+--R                  |     |    1
+--R                  |6a b |- -----  - 2
+--R                  |     |      3
+--R              +-+ |    \|  4a b
+--R            b\|a  |------------------
+--R                 \|        a b
+--R         *
+--R                                  +------------------+
+--R                                  |     +-------+
+--R                                  |     |    1
+--R                                  |6a b |- -----  - 2
+--R                        +-------+ |     |      3
+--R                      2 |    1    |    \|  4a b           +------+
+--R            log(- 2a b  |- -----  |------------------  + \|3x + 2 )
+--R                        |      3 \|        a b
+--R                       \|  4a b
+--R     + 
+--R           +------------------+          +---+ +------+
+--R           |    +---+ +-+               \|- b \|3x + 2
+--R       - 2\|- 3\|- b \|a  - 2b atanh(---------------------)
+--R                                      +------------------+
+--R                                      |    +---+ +-+
+--R                                     \|- 3\|- b \|a  - 2b
+--R     + 
+--R         +----------------+         +---+ +------+
+--R         |  +---+ +-+              \|- b \|3x + 2
+--R       2\|3\|- b \|a  - 2b atanh(-------------------)
+--R                                  +----------------+
+--R                                  |  +---+ +-+
+--R                                 \|3\|- b \|a  - 2b
+--R  /
+--R        +-+
+--R     2b\|a
+--R                                                    Type: Expression(Integer)
+--E 314
+
+--S 315 of 512
+d0162:= D(m0162,x)
+--R 
+--R
+--R   (192)  0
+--R                                                    Type: Expression(Integer)
+--E 315
+
+--S 316 of 512
+t0163:= (2+3*x)^(1/2)/(a-b*x^2)
+--R 
+--R
+--R             +------+
+--R            \|3x + 2
+--R   (193)  - ---------
+--R                2
+--R             b x  - a
+--R                                                    Type: Expression(Integer)
+--E 316
+
+--S 317 of 512
+r0163:= -(-3*a^(1/2)*b^(1/2)+2*b)^(1/2)*atanh(b^(1/2)*(2+3*x)^(1/2)/_
+        (-3*a^(1/2)*b^(1/2)+2*b)^(1/2))/a^(1/2)/b+_
+        (3*a^(1/2)*b^(1/2)+2*b)^(1/2)*_
+        atanh(b^(1/2)*(2+3*x)^(1/2)/(3*a^(1/2)*b^(1/2)+2*b)^(1/2))/a^(1/2)/b
+--R 
+--R
+--R   (194)
+--R          +----------------+          +-+ +------+
+--R          |    +-+ +-+               \|b \|3x + 2
+--R       - \|- 3\|a \|b  + 2b atanh(-------------------)
+--R                                   +----------------+
+--R                                   |    +-+ +-+
+--R                                  \|- 3\|a \|b  + 2b
+--R     + 
+--R        +--------------+         +-+ +------+
+--R        |  +-+ +-+              \|b \|3x + 2
+--R       \|3\|a \|b  + 2b atanh(-----------------)
+--R                               +--------------+
+--R                               |  +-+ +-+
+--R                              \|3\|a \|b  + 2b
+--R  /
+--R       +-+
+--R     b\|a
+--R                                                    Type: Expression(Integer)
+--E 317
+
+--S 318 of 512
+a0163:= integrate(t0163,x)
+--R 
+--R
+--R   (195)
+--R        +----------------+                  +----------------+
+--R        |     +-----+                       |     +-----+
+--R        |     |  1                          |     |  1
+--R        |6a b |-----  + 2                   |6a b |-----  + 2
+--R        |     |    3                +-----+ |     |    3
+--R        |    \|4a b               2 |  1    |    \|4a b           +------+
+--R        |---------------- log(2a b  |-----  |----------------  + \|3x + 2 )
+--R       \|       a b                 |    3 \|       a b
+--R                                   \|4a b
+--R     + 
+--R       -
+--R             +------------------+
+--R             |       +-----+
+--R             |       |  1
+--R             |- 6a b |-----  + 2
+--R             |       |    3
+--R             |      \|4a b
+--R             |------------------
+--R            \|        a b
+--R         *
+--R                              +------------------+
+--R                              |       +-----+
+--R                              |       |  1
+--R                              |- 6a b |-----  + 2
+--R                      +-----+ |       |    3
+--R                    2 |  1    |      \|4a b           +------+
+--R            log(2a b  |-----  |------------------  + \|3x + 2 )
+--R                      |    3 \|        a b
+--R                     \|4a b
+--R     + 
+--R          +------------------+
+--R          |       +-----+
+--R          |       |  1
+--R          |- 6a b |-----  + 2
+--R          |       |    3
+--R          |      \|4a b
+--R          |------------------
+--R         \|        a b
+--R      *
+--R                             +------------------+
+--R                             |       +-----+
+--R                             |       |  1
+--R                             |- 6a b |-----  + 2
+--R                     +-----+ |       |    3
+--R                   2 |  1    |      \|4a b           +------+
+--R         log(- 2a b  |-----  |------------------  + \|3x + 2 )
+--R                     |    3 \|        a b
+--R                    \|4a b
+--R     + 
+--R          +----------------+                    +----------------+
+--R          |     +-----+                         |     +-----+
+--R          |     |  1                            |     |  1
+--R          |6a b |-----  + 2                     |6a b |-----  + 2
+--R          |     |    3                  +-----+ |     |    3
+--R          |    \|4a b                 2 |  1    |    \|4a b           +------+
+--R       -  |---------------- log(- 2a b  |-----  |----------------  + \|3x + 2 )
+--R         \|       a b                   |    3 \|       a b
+--R                                       \|4a b
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 318
+
+--S 319 of 512
+m0163:= a0163-r0163
+--R 
+--R
+--R   (196)
+--R             +----------------+                  +----------------+
+--R             |     +-----+                       |     +-----+
+--R             |     |  1                          |     |  1
+--R             |6a b |-----  + 2                   |6a b |-----  + 2
+--R             |     |    3                +-----+ |     |    3
+--R         +-+ |    \|4a b               2 |  1    |    \|4a b           +------+
+--R       b\|a  |---------------- log(2a b  |-----  |----------------  + \|3x + 2 )
+--R            \|       a b                 |    3 \|       a b
+--R                                        \|4a b
+--R     + 
+--R       -
+--R                  +------------------+
+--R                  |       +-----+
+--R                  |       |  1
+--R                  |- 6a b |-----  + 2
+--R                  |       |    3
+--R              +-+ |      \|4a b
+--R            b\|a  |------------------
+--R                 \|        a b
+--R         *
+--R                              +------------------+
+--R                              |       +-----+
+--R                              |       |  1
+--R                              |- 6a b |-----  + 2
+--R                      +-----+ |       |    3
+--R                    2 |  1    |      \|4a b           +------+
+--R            log(2a b  |-----  |------------------  + \|3x + 2 )
+--R                      |    3 \|        a b
+--R                     \|4a b
+--R     + 
+--R               +------------------+
+--R               |       +-----+
+--R               |       |  1
+--R               |- 6a b |-----  + 2
+--R               |       |    3
+--R           +-+ |      \|4a b
+--R         b\|a  |------------------
+--R              \|        a b
+--R      *
+--R                             +------------------+
+--R                             |       +-----+
+--R                             |       |  1
+--R                             |- 6a b |-----  + 2
+--R                     +-----+ |       |    3
+--R                   2 |  1    |      \|4a b           +------+
+--R         log(- 2a b  |-----  |------------------  + \|3x + 2 )
+--R                     |    3 \|        a b
+--R                    \|4a b
+--R     + 
+--R       -
+--R                  +----------------+
+--R                  |     +-----+
+--R                  |     |  1
+--R                  |6a b |-----  + 2
+--R                  |     |    3
+--R              +-+ |    \|4a b
+--R            b\|a  |----------------
+--R                 \|       a b
+--R         *
+--R                                +----------------+
+--R                                |     +-----+
+--R                                |     |  1
+--R                                |6a b |-----  + 2
+--R                        +-----+ |     |    3
+--R                      2 |  1    |    \|4a b           +------+
+--R            log(- 2a b  |-----  |----------------  + \|3x + 2 )
+--R                        |    3 \|       a b
+--R                       \|4a b
+--R     + 
+--R         +----------------+          +-+ +------+
+--R         |    +-+ +-+               \|b \|3x + 2
+--R       2\|- 3\|a \|b  + 2b atanh(-------------------)
+--R                                  +----------------+
+--R                                  |    +-+ +-+
+--R                                 \|- 3\|a \|b  + 2b
+--R     + 
+--R           +--------------+         +-+ +------+
+--R           |  +-+ +-+              \|b \|3x + 2
+--R       - 2\|3\|a \|b  + 2b atanh(-----------------)
+--R                                  +--------------+
+--R                                  |  +-+ +-+
+--R                                 \|3\|a \|b  + 2b
+--R  /
+--R        +-+
+--R     2b\|a
+--R                                                    Type: Expression(Integer)
+--E 319
+
+--S 320 of 512
+d0163:= D(m0163,x)
+--R 
+--R
+--R   (197)  0
+--R                                                    Type: Expression(Integer)
+--E 320
+
+--S 321 of 512
+t0164:= (c+d*x)^(1/2)/(1+x^2)
+--R 
+--R
+--R           +-------+
+--R          \|d x + c
+--R   (198)  ----------
+--R             2
+--R            x  + 1
+--R                                                    Type: Expression(Integer)
+--E 321
+
+--S 322 of 512
+r0164:= d*((c-(-d^2)^(1/2))^(1/2)*atanh((c+d*x)^(1/2)/_
+        (c-(-d^2)^(1/2))^(1/2))-(c+(-d^2)^(1/2))^(1/2)*_
+        atanh((c+d*x)^(1/2)/(c+(-d^2)^(1/2))^(1/2)))/(-d^2)^(1/2)
+--R 
+--R
+--R   (199)
+--R         +-------------+
+--R         |   +----+               +-------+
+--R         |   |   2               \|d x + c
+--R       d\|- \|- d   + c atanh(----------------)
+--R                               +-------------+
+--R                               |   +----+
+--R                               |   |   2
+--R                              \|- \|- d   + c
+--R     + 
+--R           +-----------+
+--R           | +----+              +-------+
+--R           | |   2              \|d x + c
+--R       - d\|\|- d   + c atanh(--------------)
+--R                               +-----------+
+--R                               | +----+
+--R                               | |   2
+--R                              \|\|- d   + c
+--R  /
+--R      +----+
+--R      |   2
+--R     \|- d
+--R                                                    Type: Expression(Integer)
+--E 322
+
+--S 323 of 512
+a0164:= integrate(t0164,x)
+--R 
+--R
+--R   (200)
+--R                             +--+
+--R                             | 2
+--R                            \|d
+--R          +-------+    atan(-----)
+--R         4| 2    2            c
+--R         \|d  + c  cos(-----------)
+--R                            2
+--R      *
+--R         log
+--R                                     +--+  2
+--R                                     | 2
+--R                                    \|d
+--R                 +-------+2    atan(-----)
+--R                4| 2    2             c
+--R              d \|d  + c   sin(-----------)
+--R                                    2
+--R            + 
+--R                                                  +--+
+--R                                                  | 2
+--R                                                 \|d
+--R                +--+ +-------+              atan(-----)
+--R                | 2 4| 2    2  +-------+           c
+--R              2\|d  \|d  + c  \|d x + c sin(-----------)
+--R                                                 2
+--R            + 
+--R                                     +--+  2
+--R                                     | 2
+--R                                    \|d
+--R                 +-------+2    atan(-----)
+--R                4| 2    2             c         2
+--R              d \|d  + c   cos(-----------)  + d x + c d
+--R                                    2
+--R     + 
+--R       -
+--R                                +--+
+--R                                | 2
+--R                               \|d
+--R             +-------+    atan(-----)
+--R            4| 2    2            c
+--R            \|d  + c  cos(-----------)
+--R                               2
+--R         *
+--R            log
+--R                                        +--+  2
+--R                                        | 2
+--R                                       \|d
+--R                    +-------+2    atan(-----)
+--R                   4| 2    2             c
+--R                 d \|d  + c   sin(-----------)
+--R                                       2
+--R               + 
+--R                                                       +--+
+--R                                                       | 2
+--R                                                      \|d
+--R                     +--+ +-------+              atan(-----)
+--R                     | 2 4| 2    2  +-------+           c
+--R                 - 2\|d  \|d  + c  \|d x + c sin(-----------)
+--R                                                      2
+--R               + 
+--R                                        +--+  2
+--R                                        | 2
+--R                                       \|d
+--R                    +-------+2    atan(-----)
+--R                   4| 2    2             c         2
+--R                 d \|d  + c   cos(-----------)  + d x + c d
+--R                                       2
+--R     + 
+--R       -
+--R                                 +--+
+--R                                 | 2
+--R                                \|d
+--R              +-------+    atan(-----)
+--R             4| 2    2            c
+--R            2\|d  + c  sin(-----------)
+--R                                2
+--R         *
+--R                                                 +--+
+--R                                                 | 2
+--R                                                \|d
+--R                         +--+ +-------+    atan(-----)
+--R                         | 2 4| 2    2            c
+--R                        \|d  \|d  + c  cos(-----------)
+--R                                                2
+--R            atan(---------------------------------------------)
+--R                                          +--+
+--R                                          | 2
+--R                                         \|d
+--R                  +--+ +-------+    atan(-----)
+--R                  | 2 4| 2    2            c         +-------+
+--R                 \|d  \|d  + c  sin(-----------) - d\|d x + c
+--R                                         2
+--R     + 
+--R                              +--+
+--R                              | 2
+--R                             \|d
+--R           +-------+    atan(-----)
+--R          4| 2    2            c
+--R         2\|d  + c  sin(-----------)
+--R                             2
+--R      *
+--R                                              +--+
+--R                                              | 2
+--R                                             \|d
+--R                      +--+ +-------+    atan(-----)
+--R                      | 2 4| 2    2            c
+--R                     \|d  \|d  + c  cos(-----------)
+--R                                             2
+--R         atan(---------------------------------------------)
+--R                                       +--+
+--R                                       | 2
+--R                                      \|d
+--R               +--+ +-------+    atan(-----)
+--R               | 2 4| 2    2            c         +-------+
+--R              \|d  \|d  + c  sin(-----------) + d\|d x + c
+--R                                      2
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 323
+
+--S 324 of 512
+m0164:= a0164-r0164
+--R 
+--R
+--R   (201)
+--R                                    +--+
+--R                                    | 2
+--R                                   \|d
+--R          +----+ +-------+    atan(-----)
+--R          |   2 4| 2    2            c
+--R         \|- d  \|d  + c  cos(-----------)
+--R                                   2
+--R      *
+--R         log
+--R                                     +--+  2
+--R                                     | 2
+--R                                    \|d
+--R                 +-------+2    atan(-----)
+--R                4| 2    2             c
+--R              d \|d  + c   sin(-----------)
+--R                                    2
+--R            + 
+--R                                                  +--+
+--R                                                  | 2
+--R                                                 \|d
+--R                +--+ +-------+              atan(-----)
+--R                | 2 4| 2    2  +-------+           c
+--R              2\|d  \|d  + c  \|d x + c sin(-----------)
+--R                                                 2
+--R            + 
+--R                                     +--+  2
+--R                                     | 2
+--R                                    \|d
+--R                 +-------+2    atan(-----)
+--R                4| 2    2             c         2
+--R              d \|d  + c   cos(-----------)  + d x + c d
+--R                                    2
+--R     + 
+--R       -
+--R                                       +--+
+--R                                       | 2
+--R                                      \|d
+--R             +----+ +-------+    atan(-----)
+--R             |   2 4| 2    2            c
+--R            \|- d  \|d  + c  cos(-----------)
+--R                                      2
+--R         *
+--R            log
+--R                                        +--+  2
+--R                                        | 2
+--R                                       \|d
+--R                    +-------+2    atan(-----)
+--R                   4| 2    2             c
+--R                 d \|d  + c   sin(-----------)
+--R                                       2
+--R               + 
+--R                                                       +--+
+--R                                                       | 2
+--R                                                      \|d
+--R                     +--+ +-------+              atan(-----)
+--R                     | 2 4| 2    2  +-------+           c
+--R                 - 2\|d  \|d  + c  \|d x + c sin(-----------)
+--R                                                      2
+--R               + 
+--R                                        +--+  2
+--R                                        | 2
+--R                                       \|d
+--R                    +-------+2    atan(-----)
+--R                   4| 2    2             c         2
+--R                 d \|d  + c   cos(-----------)  + d x + c d
+--R                                       2
+--R     + 
+--R       -
+--R                                        +--+
+--R                                        | 2
+--R                                       \|d
+--R              +----+ +-------+    atan(-----)
+--R              |   2 4| 2    2            c
+--R            2\|- d  \|d  + c  sin(-----------)
+--R                                       2
+--R         *
+--R                                                 +--+
+--R                                                 | 2
+--R                                                \|d
+--R                         +--+ +-------+    atan(-----)
+--R                         | 2 4| 2    2            c
+--R                        \|d  \|d  + c  cos(-----------)
+--R                                                2
+--R            atan(---------------------------------------------)
+--R                                          +--+
+--R                                          | 2
+--R                                         \|d
+--R                  +--+ +-------+    atan(-----)
+--R                  | 2 4| 2    2            c         +-------+
+--R                 \|d  \|d  + c  sin(-----------) - d\|d x + c
+--R                                         2
+--R     + 
+--R                                     +--+
+--R                                     | 2
+--R                                    \|d
+--R           +----+ +-------+    atan(-----)
+--R           |   2 4| 2    2            c
+--R         2\|- d  \|d  + c  sin(-----------)
+--R                                    2
+--R      *
+--R                                              +--+
+--R                                              | 2
+--R                                             \|d
+--R                      +--+ +-------+    atan(-----)
+--R                      | 2 4| 2    2            c
+--R                     \|d  \|d  + c  cos(-----------)
+--R                                             2
+--R         atan(---------------------------------------------)
+--R                                       +--+
+--R                                       | 2
+--R                                      \|d
+--R               +--+ +-------+    atan(-----)
+--R               | 2 4| 2    2            c         +-------+
+--R              \|d  \|d  + c  sin(-----------) + d\|d x + c
+--R                                      2
+--R     + 
+--R            +-------------+
+--R            |   +----+               +-------+
+--R            |   |   2               \|d x + c
+--R       - 2d\|- \|- d   + c atanh(----------------)
+--R                                  +-------------+
+--R                                  |   +----+
+--R                                  |   |   2
+--R                                 \|- \|- d   + c
+--R     + 
+--R          +-----------+
+--R          | +----+              +-------+
+--R          | |   2              \|d x + c
+--R       2d\|\|- d   + c atanh(--------------)
+--R                              +-----------+
+--R                              | +----+
+--R                              | |   2
+--R                             \|\|- d   + c
+--R  /
+--R       +----+
+--R       |   2
+--R     2\|- d
+--R                                                    Type: Expression(Integer)
+--E 324
+
+--S 325 of 512
+d0164:= D(m0164,x)
+--R 
+--R
+--R   (202)
+--R              7     2 5     4 3    6         6     3 4     5 2    7
+--R         ((- d  - 3c d  - 3c d  - c d)x - c d  - 3c d  - 3c d  - c )
+--R      *
+--R                   +--+  12
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                   7      2 5      4 3     6          6      3 4      5 2     7
+--R             ((- 4d  - 12c d  - 12c d  - 4c d)x - 4c d  - 12c d  - 12c d  - 4c )
+--R          *
+--R                       +--+  2
+--R                       | 2
+--R                      \|d
+--R                 atan(-----)
+--R                        c
+--R             cos(-----------)
+--R                      2
+--R         + 
+--R                  6      2 4     4 2  2         5      3 3      5        2 4
+--R               (6d  + 12c d  + 6c d )x  + (12c d  + 24c d  + 12c d)x + 6c d
+--R             + 
+--R                  4 2     6
+--R               12c d  + 6c
+--R          *
+--R              +-------+2
+--R             4| 2    2
+--R             \|d  + c
+--R      *
+--R                   +--+  10
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                5     2 3     4   3          4     3 2     5  2
+--R           (- 2d  - 4c d  - 2c d)x  + (- 2c d  - 4c d  - 2c )x
+--R         + 
+--R                5     2 3     4          4     3 2     5
+--R           (- 2d  - 4c d  - 2c d)x - 2c d  - 4c d  - 2c
+--R      *
+--R                                   +--+            +--+  9
+--R                                   | 2             | 2
+--R                                  \|d             \|d
+--R          +--+ +-------+2    atan(-----)     atan(-----)
+--R          | 2 4| 2    2             c               c
+--R         \|d  \|d  + c   cos(-----------)sin(-----------)
+--R                                  2               2
+--R     + 
+--R                   7      2 5      4 3     6          6      3 4      5 2     7
+--R             ((- 6d  - 18c d  - 18c d  - 6c d)x - 6c d  - 18c d  - 18c d  - 6c )
+--R          *
+--R                       +--+  4
+--R                       | 2
+--R                      \|d
+--R                 atan(-----)
+--R                        c
+--R             cos(-----------)
+--R                      2
+--R         + 
+--R                   6      2 4      4 2  2         5      3 3      5         2 4
+--R               (12d  + 24c d  + 12c d )x  + (24c d  + 48c d  + 24c d)x + 12c d
+--R             + 
+--R                  4 2      6
+--R               24c d  + 12c
+--R          *
+--R                                  +--+  2
+--R                                  | 2
+--R                                 \|d
+--R              +-------+2    atan(-----)
+--R             4| 2    2             c
+--R             \|d  + c   cos(-----------)
+--R                                 2
+--R         + 
+--R                 7      2 5      4 3  3           6      3 4      5 2  2
+--R           (- 15d  - 30c d  - 15c d )x  + (- 45c d  - 90c d  - 45c d )x
+--R         + 
+--R                 2 5      4 3      6         3 4      5 2      7
+--R           (- 45c d  - 90c d  - 45c d)x - 15c d  - 30c d  - 15c
+--R      *
+--R                   +--+  8
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                    5     2 3     4   3          4     3 2     5  2
+--R               (- 4d  - 8c d  - 4c d)x  + (- 4c d  - 8c d  - 4c )x
+--R             + 
+--R                    5     2 3     4          4     3 2     5
+--R               (- 4d  - 8c d  - 4c d)x - 4c d  - 8c d  - 4c
+--R          *
+--R                                       +--+  3
+--R                                       | 2
+--R                                      \|d
+--R              +--+ +-------+2    atan(-----)
+--R              | 2 4| 2    2             c
+--R             \|d  \|d  + c   cos(-----------)
+--R                                      2
+--R         + 
+--R                  6      2 4     4 2  4         5      3 3      5   3
+--R               (8d  + 16c d  + 8c d )x  + (16c d  + 32c d  + 16c d)x
+--R             + 
+--R                  6      2 4      4 2     6  2         5      3 3      5
+--R               (8d  + 24c d  + 24c d  + 8c )x  + (16c d  + 32c d  + 16c d)x
+--R             + 
+--R                 2 4      4 2     6
+--R               8c d  + 16c d  + 8c
+--R          *
+--R                            +--+
+--R                            | 2
+--R                           \|d
+--R              +--+    atan(-----)
+--R              | 2            c
+--R             \|d  cos(-----------)
+--R                           2
+--R      *
+--R                   +--+  7
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                   7      2 5      4 3     6          6      3 4      5 2     7
+--R             ((- 4d  - 12c d  - 12c d  - 4c d)x - 4c d  - 12c d  - 12c d  - 4c )
+--R          *
+--R                       +--+  6
+--R                       | 2
+--R                      \|d
+--R                 atan(-----)
+--R                        c
+--R             cos(-----------)
+--R                      2
+--R         + 
+--R                  6      2 4     4 2  2         5      3 3      5        2 4
+--R               (8d  + 16c d  + 8c d )x  + (16c d  + 32c d  + 16c d)x + 8c d
+--R             + 
+--R                  4 2     6
+--R               16c d  + 8c
+--R          *
+--R                                  +--+  4
+--R                                  | 2
+--R                                 \|d
+--R              +-------+2    atan(-----)
+--R             4| 2    2             c
+--R             \|d  + c   cos(-----------)
+--R                                 2
+--R         + 
+--R                    7      2 5     4 3  3           6      3 4      5 2  2
+--R               (- 8d  - 16c d  - 8c d )x  + (- 24c d  - 48c d  - 24c d )x
+--R             + 
+--R                     2 5      4 3      6        3 4      5 2     7
+--R               (- 24c d  - 48c d  - 24c d)x - 8c d  - 16c d  - 8c
+--R          *
+--R                       +--+  2
+--R                       | 2
+--R                      \|d
+--R                 atan(-----)
+--R                        c
+--R             cos(-----------)
+--R                      2
+--R         + 
+--R                   6      2 4  4         5      3 3  3        2 4       4 2  2
+--R               (20d  + 20c d )x  + (80c d  + 80c d )x  + (120c d  + 120c d )x
+--R             + 
+--R                   3 3      5         4 2      6
+--R               (80c d  + 80c d)x + 20c d  + 20c
+--R          *
+--R              +-------+2
+--R             4| 2    2
+--R             \|d  + c
+--R      *
+--R                   +--+  6
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                    5     2 3     4   3          4     3 2     5  2
+--R               (- 2d  - 4c d  - 2c d)x  + (- 2c d  - 4c d  - 2c )x
+--R             + 
+--R                    5     2 3     4          4     3 2     5
+--R               (- 2d  - 4c d  - 2c d)x - 2c d  - 4c d  - 2c
+--R          *
+--R                                       +--+  5
+--R                                       | 2
+--R                                      \|d
+--R              +--+ +-------+2    atan(-----)
+--R              | 2 4| 2    2             c
+--R             \|d  \|d  + c   cos(-----------)
+--R                                      2
+--R         + 
+--R                  6     2 4     4 2  4        5      3 3     5   3
+--R               (4d  + 8c d  + 4c d )x  + (8c d  + 16c d  + 8c d)x
+--R             + 
+--R                  6      2 4      4 2     6  2        5      3 3     5
+--R               (4d  + 12c d  + 12c d  + 4c )x  + (8c d  + 16c d  + 8c d)x
+--R             + 
+--R                 2 4     4 2     6
+--R               4c d  + 8c d  + 4c
+--R          *
+--R                            +--+  3
+--R                            | 2
+--R                           \|d
+--R              +--+    atan(-----)
+--R              | 2            c
+--R             \|d  cos(-----------)
+--R                           2
+--R         + 
+--R                     5      2 3  5           4      3 2  4
+--R               (- 12d  - 12c d )x  + (- 36c d  - 36c d )x
+--R             + 
+--R                     5      2 3      4   3           4      3 2      5  2
+--R               (- 12d  - 48c d  - 36c d)x  + (- 36c d  - 48c d  - 12c )x
+--R             + 
+--R                     2 3      4         3 2      5
+--R               (- 36c d  - 36c d)x - 12c d  - 12c
+--R          *
+--R                                       +--+
+--R                                       | 2
+--R                                      \|d
+--R              +--+ +-------+2    atan(-----)
+--R              | 2 4| 2    2             c
+--R             \|d  \|d  + c   cos(-----------)
+--R                                      2
+--R      *
+--R                   +--+  5
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                  7     2 5     4 3    6         6     3 4     5 2    7
+--R             ((- d  - 3c d  - 3c d  - c d)x - c d  - 3c d  - 3c d  - c )
+--R          *
+--R                       +--+  8
+--R                       | 2
+--R                      \|d
+--R                 atan(-----)
+--R                        c
+--R             cos(-----------)
+--R                      2
+--R         + 
+--R                  6     2 4     4 2  2        5      3 3     5        2 4
+--R               (4d  + 8c d  + 4c d )x  + (8c d  + 16c d  + 8c d)x + 4c d
+--R             + 
+--R                 4 2     6
+--R               8c d  + 4c
+--R          *
+--R                                  +--+  6
+--R                                  | 2
+--R                                 \|d
+--R              +-------+2    atan(-----)
+--R             4| 2    2             c
+--R             \|d  + c   cos(-----------)
+--R                                 2
+--R         + 
+--R                    7     2 5     4 3  3           6      3 4      5 2  2
+--R               (- 4d  - 8c d  - 4c d )x  + (- 12c d  - 24c d  - 12c d )x
+--R             + 
+--R                     2 5      4 3      6        3 4     5 2     7
+--R               (- 12c d  - 24c d  - 12c d)x - 4c d  - 8c d  - 4c
+--R          *
+--R                       +--+  4
+--R                       | 2
+--R                      \|d
+--R                 atan(-----)
+--R                        c
+--R             cos(-----------)
+--R                      2
+--R         + 
+--R                    6     2 4  4           5      3 3  3         2 4      4 2  2
+--R               (- 8d  - 8c d )x  + (- 32c d  - 32c d )x  + (- 48c d  - 48c d )x
+--R             + 
+--R                     3 3      5        4 2     6
+--R               (- 32c d  - 32c d)x - 8c d  - 8c
+--R          *
+--R                                  +--+  2
+--R                                  | 2
+--R                                 \|d
+--R              +-------+2    atan(-----)
+--R             4| 2    2             c
+--R             \|d  + c   cos(-----------)
+--R                                 2
+--R         + 
+--R                 7      2 5  5           6      3 4  4          2 5       4 3  3
+--R           (- 15d  - 15c d )x  + (- 75c d  - 75c d )x  + (- 150c d  - 150c d )x
+--R         + 
+--R                  3 4       5 2  2         4 3      6         5 2      7
+--R           (- 150c d  - 150c d )x  + (- 75c d  - 75c d)x - 15c d  - 15c
+--R      *
+--R                   +--+  4
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                  6     2 4     4 2  4        5      3 3     5   3
+--R               (4d  + 8c d  + 4c d )x  + (8c d  + 16c d  + 8c d)x
+--R             + 
+--R                  6      2 4      4 2     6  2        5      3 3     5
+--R               (4d  + 12c d  + 12c d  + 4c )x  + (8c d  + 16c d  + 8c d)x
+--R             + 
+--R                 2 4     4 2     6
+--R               4c d  + 8c d  + 4c
+--R          *
+--R                            +--+  5
+--R                            | 2
+--R                           \|d
+--R              +--+    atan(-----)
+--R              | 2            c
+--R             \|d  cos(-----------)
+--R                           2
+--R         + 
+--R                  5     2 3  5         4      3 2  4      5      2 3      4   3
+--R               (4d  + 4c d )x  + (12c d  + 12c d )x  + (4d  + 16c d  + 12c d)x
+--R             + 
+--R                     4      3 2     5  2       2 3      4        3 2     5
+--R               (12c d  + 16c d  + 4c )x  + (12c d  + 12c d)x + 4c d  + 4c
+--R          *
+--R                                       +--+  3
+--R                                       | 2
+--R                                      \|d
+--R              +--+ +-------+2    atan(-----)
+--R              | 2 4| 2    2             c
+--R             \|d  \|d  + c   cos(-----------)
+--R                                      2
+--R         + 
+--R                  6     2 4  6         5      3 3  5      6      2 4      4 2  4
+--R               (8d  + 8c d )x  + (32c d  + 32c d )x  + (8d  + 56c d  + 48c d )x
+--R             + 
+--R                     5      3 3      5   3       2 4      4 2     6  2
+--R               (32c d  + 64c d  + 32c d)x  + (48c d  + 56c d  + 8c )x
+--R             + 
+--R                   3 3      5        4 2     6
+--R               (32c d  + 32c d)x + 8c d  + 8c
+--R          *
+--R                            +--+
+--R                            | 2
+--R                           \|d
+--R              +--+    atan(-----)
+--R              | 2            c
+--R             \|d  cos(-----------)
+--R                           2
+--R      *
+--R                   +--+  3
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                  6     2 4     4 2  2        5     3 3     5        2 4     4 2
+--R               (2d  + 4c d  + 2c d )x  + (4c d  + 8c d  + 4c d)x + 2c d  + 4c d
+--R             + 
+--R                 6
+--R               2c
+--R          *
+--R                                  +--+  8
+--R                                  | 2
+--R                                 \|d
+--R              +-------+2    atan(-----)
+--R             4| 2    2             c
+--R             \|d  + c   cos(-----------)
+--R                                 2
+--R         + 
+--R                  7     2 5     4 3  3         6      3 4      5 2  2
+--R               (4d  + 8c d  + 4c d )x  + (12c d  + 24c d  + 12c d )x
+--R             + 
+--R                   2 5      4 3      6        3 4     5 2     7
+--R               (12c d  + 24c d  + 12c d)x + 4c d  + 8c d  + 4c
+--R          *
+--R                       +--+  6
+--R                       | 2
+--R                      \|d
+--R                 atan(-----)
+--R                        c
+--R             cos(-----------)
+--R                      2
+--R         + 
+--R                  6     2 4  4         5      3 3  3       2 4      4 2  2
+--R               (8d  + 8c d )x  + (32c d  + 32c d )x  + (48c d  + 48c d )x
+--R             + 
+--R                   3 3      5        4 2     6
+--R               (32c d  + 32c d)x + 8c d  + 8c
+--R          *
+--R                                  +--+  4
+--R                                  | 2
+--R                                 \|d
+--R              +-------+2    atan(-----)
+--R             4| 2    2             c
+--R             \|d  + c   cos(-----------)
+--R                                 2
+--R         + 
+--R                   7      2 5  5         6      3 4  4        2 5       4 3  3
+--R               (12d  + 12c d )x  + (60c d  + 60c d )x  + (120c d  + 120c d )x
+--R             + 
+--R                    3 4       5 2  2       4 3      6         5 2      7
+--R               (120c d  + 120c d )x  + (60c d  + 60c d)x + 12c d  + 12c
+--R          *
+--R                       +--+  2
+--R                       | 2
+--R                      \|d
+--R                 atan(-----)
+--R                        c
+--R             cos(-----------)
+--R                      2
+--R         + 
+--R                   6 6        5 5      2 4 4       3 3 3      4 2 2      5
+--R                 6d x  + 36c d x  + 90c d x  + 120c d x  + 90c d x  + 36c d x
+--R               + 
+--R                   6
+--R                 6c
+--R          *
+--R              +-------+2
+--R             4| 2    2
+--R             \|d  + c
+--R      *
+--R                   +--+  2
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                    5     2 3  5          4     3 2  4
+--R               (- 2d  - 2c d )x  + (- 6c d  - 6c d )x
+--R             + 
+--R                    5     2 3     4   3          4     3 2     5  2
+--R               (- 2d  - 8c d  - 6c d)x  + (- 6c d  - 8c d  - 2c )x
+--R             + 
+--R                    2 3     4        3 2     5
+--R               (- 6c d  - 6c d)x - 2c d  - 2c
+--R          *
+--R                                       +--+  5
+--R                                       | 2
+--R                                      \|d
+--R              +--+ +-------+2    atan(-----)
+--R              | 2 4| 2    2             c
+--R             \|d  \|d  + c   cos(-----------)
+--R                                      2
+--R         + 
+--R                    6     2 4  6           5      3 3  5
+--R               (- 4d  - 4c d )x  + (- 16c d  - 16c d )x
+--R             + 
+--R                    6      2 4      4 2  4           5      3 3      5   3
+--R               (- 4d  - 28c d  - 24c d )x  + (- 16c d  - 32c d  - 16c d)x
+--R             + 
+--R                     2 4      4 2     6  2         3 3      5        4 2     6
+--R               (- 24c d  - 28c d  - 4c )x  + (- 16c d  - 16c d)x - 4c d  - 4c
+--R          *
+--R                            +--+  3
+--R                            | 2
+--R                           \|d
+--R              +--+    atan(-----)
+--R              | 2            c
+--R             \|d  cos(-----------)
+--R                           2
+--R         + 
+--R                   5 7        4 6        5      2 3  5           4      3 2  4
+--R               - 2d x  - 10c d x  + (- 2d  - 20c d )x  + (- 10c d  - 20c d )x
+--R             + 
+--R                     2 3      4   3         3 2     5  2      4        5
+--R               (- 20c d  - 10c d)x  + (- 20c d  - 2c )x  - 10c d x - 2c
+--R          *
+--R                                       +--+
+--R                                       | 2
+--R                                      \|d
+--R              +--+ +-------+2    atan(-----)
+--R              | 2 4| 2    2             c
+--R             \|d  \|d  + c   cos(-----------)
+--R                                      2
+--R      *
+--R                   +--+
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R               7     2 5    4 3  3          6     3 4     5 2  2
+--R           (- d  - 2c d  - c d )x  + (- 3c d  - 6c d  - 3c d )x
+--R         + 
+--R                2 5     4 3     6       3 4     5 2    7
+--R           (- 3c d  - 6c d  - 3c d)x - c d  - 2c d  - c
+--R      *
+--R                   +--+  8
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         cos(-----------)
+--R                  2
+--R     + 
+--R                6     2 4  4           5      3 3  3         2 4      4 2  2
+--R           (- 4d  - 4c d )x  + (- 16c d  - 16c d )x  + (- 24c d  - 24c d )x
+--R         + 
+--R                 3 3      5        4 2     6
+--R           (- 16c d  - 16c d)x - 4c d  - 4c
+--R      *
+--R                              +--+  6
+--R                              | 2
+--R                             \|d
+--R          +-------+2    atan(-----)
+--R         4| 2    2             c
+--R         \|d  + c   cos(-----------)
+--R                             2
+--R     + 
+--R                7     2 5  5           6      3 4  4         2 5      4 3  3
+--R           (- 6d  - 6c d )x  + (- 30c d  - 30c d )x  + (- 60c d  - 60c d )x
+--R         + 
+--R                 3 4      5 2  2         4 3      6        5 2     7
+--R           (- 60c d  - 60c d )x  + (- 30c d  - 30c d)x - 6c d  - 6c
+--R      *
+--R                   +--+  4
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         cos(-----------)
+--R                  2
+--R     + 
+--R              6 6        5 5      2 4 4      3 3 3      4 2 2      5        6
+--R         (- 4d x  - 24c d x  - 60c d x  - 80c d x  - 60c d x  - 24c d x - 4c )
+--R      *
+--R                              +--+  2
+--R                              | 2
+--R                             \|d
+--R          +-------+2    atan(-----)
+--R         4| 2    2             c
+--R         \|d  + c   cos(-----------)
+--R                             2
+--R     + 
+--R        7 7       6 6      2 5 5      3 4 4      4 3 3      5 2 2     6       7
+--R     - d x  - 7c d x  - 21c d x  - 35c d x  - 35c d x  - 21c d x  - 7c d x - c
+--R  /
+--R            6     2 4     4 2    6  2    6     2 4     4 2    6  +-------+
+--R         ((d  + 3c d  + 3c d  + c )x  + d  + 3c d  + 3c d  + c )\|d x + c
+--R      *
+--R                   +--+  12
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                 6      2 4      4 2     6  2     6      2 4      4 2     6
+--R             ((4d  + 12c d  + 12c d  + 4c )x  + 4d  + 12c d  + 12c d  + 4c )
+--R          *
+--R                                 +--+  2
+--R                                 | 2
+--R                                \|d
+--R                           atan(-----)
+--R              +-------+           c
+--R             \|d x + c cos(-----------)
+--R                                2
+--R         + 
+--R                    5      2 3     4   3          4      3 2     5  2
+--R               (- 6d  - 12c d  - 6c d)x  + (- 6c d  - 12c d  - 6c )x
+--R             + 
+--R                    5      2 3     4          4      3 2     5
+--R               (- 6d  - 12c d  - 6c d)x - 6c d  - 12c d  - 6c
+--R          *
+--R              +-------+2
+--R             4| 2    2   +-------+
+--R             \|d  + c   \|d x + c
+--R      *
+--R                   +--+  10
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                 6      2 4      4 2     6  2     6      2 4      4 2     6
+--R             ((6d  + 18c d  + 18c d  + 6c )x  + 6d  + 18c d  + 18c d  + 6c )
+--R          *
+--R                                 +--+  4
+--R                                 | 2
+--R                                \|d
+--R                           atan(-----)
+--R              +-------+           c
+--R             \|d x + c cos(-----------)
+--R                                2
+--R         + 
+--R                     5      2 3      4   3           4      3 2      5  2
+--R               (- 12d  - 24c d  - 12c d)x  + (- 12c d  - 24c d  - 12c )x
+--R             + 
+--R                     5      2 3      4           4      3 2      5
+--R               (- 12d  - 24c d  - 12c d)x - 12c d  - 24c d  - 12c
+--R          *
+--R                                            +--+  2
+--R                                            | 2
+--R                                           \|d
+--R              +-------+2              atan(-----)
+--R             4| 2    2   +-------+           c
+--R             \|d  + c   \|d x + c cos(-----------)
+--R                                           2
+--R         + 
+--R                   6      2 4      4 2  4         5      3 3      5   3
+--R               (15d  + 30c d  + 15c d )x  + (30c d  + 60c d  + 30c d)x
+--R             + 
+--R                   6      2 4      4 2      6  2         5      3 3      5
+--R               (15d  + 45c d  + 45c d  + 15c )x  + (30c d  + 60c d  + 30c d)x
+--R             + 
+--R                  2 4      4 2      6
+--R               15c d  + 30c d  + 15c
+--R          *
+--R              +-------+
+--R             \|d x + c
+--R      *
+--R                   +--+  8
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                 6      2 4      4 2     6  2     6      2 4      4 2     6
+--R             ((4d  + 12c d  + 12c d  + 4c )x  + 4d  + 12c d  + 12c d  + 4c )
+--R          *
+--R                                 +--+  6
+--R                                 | 2
+--R                                \|d
+--R                           atan(-----)
+--R              +-------+           c
+--R             \|d x + c cos(-----------)
+--R                                2
+--R         + 
+--R                    5      2 3     4   3          4      3 2     5  2
+--R               (- 8d  - 16c d  - 8c d)x  + (- 8c d  - 16c d  - 8c )x
+--R             + 
+--R                    5      2 3     4          4      3 2     5
+--R               (- 8d  - 16c d  - 8c d)x - 8c d  - 16c d  - 8c
+--R          *
+--R                                            +--+  4
+--R                                            | 2
+--R                                           \|d
+--R              +-------+2              atan(-----)
+--R             4| 2    2   +-------+           c
+--R             \|d  + c   \|d x + c cos(-----------)
+--R                                           2
+--R         + 
+--R                  6      2 4     4 2  4         5      3 3      5   3
+--R               (8d  + 16c d  + 8c d )x  + (16c d  + 32c d  + 16c d)x
+--R             + 
+--R                  6      2 4      4 2     6  2         5      3 3      5
+--R               (8d  + 24c d  + 24c d  + 8c )x  + (16c d  + 32c d  + 16c d)x
+--R             + 
+--R                 2 4      4 2     6
+--R               8c d  + 16c d  + 8c
+--R          *
+--R                                 +--+  2
+--R                                 | 2
+--R                                \|d
+--R                           atan(-----)
+--R              +-------+           c
+--R             \|d x + c cos(-----------)
+--R                                2
+--R         + 
+--R                     5      2 3  5           4      3 2  4
+--R               (- 20d  - 20c d )x  + (- 60c d  - 60c d )x
+--R             + 
+--R                     5      2 3      4   3           4      3 2      5  2
+--R               (- 20d  - 80c d  - 60c d)x  + (- 60c d  - 80c d  - 20c )x
+--R             + 
+--R                     2 3      4         3 2      5
+--R               (- 60c d  - 60c d)x - 20c d  - 20c
+--R          *
+--R              +-------+2
+--R             4| 2    2   +-------+
+--R             \|d  + c   \|d x + c
+--R      *
+--R                   +--+  6
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                6     2 4     4 2    6  2    6     2 4     4 2    6  +-------+
+--R             ((d  + 3c d  + 3c d  + c )x  + d  + 3c d  + 3c d  + c )\|d x + c
+--R          *
+--R                       +--+  8
+--R                       | 2
+--R                      \|d
+--R                 atan(-----)
+--R                        c
+--R             cos(-----------)
+--R                      2
+--R         + 
+--R                    5     2 3     4   3          4     3 2     5  2
+--R               (- 4d  - 8c d  - 4c d)x  + (- 4c d  - 8c d  - 4c )x
+--R             + 
+--R                    5     2 3     4          4     3 2     5
+--R               (- 4d  - 8c d  - 4c d)x - 4c d  - 8c d  - 4c
+--R          *
+--R                                            +--+  6
+--R                                            | 2
+--R                                           \|d
+--R              +-------+2              atan(-----)
+--R             4| 2    2   +-------+           c
+--R             \|d  + c   \|d x + c cos(-----------)
+--R                                           2
+--R         + 
+--R                  6     2 4     4 2  4        5      3 3     5   3
+--R               (4d  + 8c d  + 4c d )x  + (8c d  + 16c d  + 8c d)x
+--R             + 
+--R                  6      2 4      4 2     6  2        5      3 3     5
+--R               (4d  + 12c d  + 12c d  + 4c )x  + (8c d  + 16c d  + 8c d)x
+--R             + 
+--R                 2 4     4 2     6
+--R               4c d  + 8c d  + 4c
+--R          *
+--R                                 +--+  4
+--R                                 | 2
+--R                                \|d
+--R                           atan(-----)
+--R              +-------+           c
+--R             \|d x + c cos(-----------)
+--R                                2
+--R         + 
+--R                  5     2 3  5         4      3 2  4      5      2 3      4   3
+--R               (8d  + 8c d )x  + (24c d  + 24c d )x  + (8d  + 32c d  + 24c d)x
+--R             + 
+--R                     4      3 2     5  2       2 3      4        3 2     5
+--R               (24c d  + 32c d  + 8c )x  + (24c d  + 24c d)x + 8c d  + 8c
+--R          *
+--R                                            +--+  2
+--R                                            | 2
+--R                                           \|d
+--R              +-------+2              atan(-----)
+--R             4| 2    2   +-------+           c
+--R             \|d  + c   \|d x + c cos(-----------)
+--R                                           2
+--R         + 
+--R                   6      2 4  6         5      3 3  5
+--R               (15d  + 15c d )x  + (60c d  + 60c d )x
+--R             + 
+--R                   6       2 4      4 2  4         5       3 3      5   3
+--R               (15d  + 105c d  + 90c d )x  + (60c d  + 120c d  + 60c d)x
+--R             + 
+--R                   2 4       4 2      6  2       3 3      5         4 2      6
+--R               (90c d  + 105c d  + 15c )x  + (60c d  + 60c d)x + 15c d  + 15c
+--R          *
+--R              +-------+
+--R             \|d x + c
+--R      *
+--R                   +--+  4
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R                    5     2 3     4   3          4     3 2     5  2
+--R               (- 2d  - 4c d  - 2c d)x  + (- 2c d  - 4c d  - 2c )x
+--R             + 
+--R                    5     2 3     4          4     3 2     5
+--R               (- 2d  - 4c d  - 2c d)x - 2c d  - 4c d  - 2c
+--R          *
+--R                                            +--+  8
+--R                                            | 2
+--R                                           \|d
+--R              +-------+2              atan(-----)
+--R             4| 2    2   +-------+           c
+--R             \|d  + c   \|d x + c cos(-----------)
+--R                                           2
+--R         + 
+--R                    6     2 4     4 2  4          5      3 3     5   3
+--R               (- 4d  - 8c d  - 4c d )x  + (- 8c d  - 16c d  - 8c d)x
+--R             + 
+--R                    6      2 4      4 2     6  2          5      3 3     5
+--R               (- 4d  - 12c d  - 12c d  - 4c )x  + (- 8c d  - 16c d  - 8c d)x
+--R             + 
+--R                   2 4     4 2     6
+--R               - 4c d  - 8c d  - 4c
+--R          *
+--R                                 +--+  6
+--R                                 | 2
+--R                                \|d
+--R                           atan(-----)
+--R              +-------+           c
+--R             \|d x + c cos(-----------)
+--R                                2
+--R         + 
+--R                    5     2 3  5           4      3 2  4
+--R               (- 8d  - 8c d )x  + (- 24c d  - 24c d )x
+--R             + 
+--R                    5      2 3      4   3           4      3 2     5  2
+--R               (- 8d  - 32c d  - 24c d)x  + (- 24c d  - 32c d  - 8c )x
+--R             + 
+--R                     2 3      4        3 2     5
+--R               (- 24c d  - 24c d)x - 8c d  - 8c
+--R          *
+--R                                            +--+  4
+--R                                            | 2
+--R                                           \|d
+--R              +-------+2              atan(-----)
+--R             4| 2    2   +-------+           c
+--R             \|d  + c   \|d x + c cos(-----------)
+--R                                           2
+--R         + 
+--R                     6      2 4  6           5      3 3  5
+--R               (- 12d  - 12c d )x  + (- 48c d  - 48c d )x
+--R             + 
+--R                     6      2 4      4 2  4           5      3 3      5   3
+--R               (- 12d  - 84c d  - 72c d )x  + (- 48c d  - 96c d  - 48c d)x
+--R             + 
+--R                   2 4      4 2      6  2         3 3      5         4 2      6
+--R             (- 72c d  - 84c d  - 12c )x  + (- 48c d  - 48c d)x - 12c d  - 12c
+--R          *
+--R                                 +--+  2
+--R                                 | 2
+--R                                \|d
+--R                           atan(-----)
+--R              +-------+           c
+--R             \|d x + c cos(-----------)
+--R                                2
+--R         + 
+--R                   5 7        4 6        5      2 3  5           4      3 2  4
+--R               - 6d x  - 30c d x  + (- 6d  - 60c d )x  + (- 30c d  - 60c d )x
+--R             + 
+--R                     2 3      4   3         3 2     5  2      4        5
+--R               (- 60c d  - 30c d)x  + (- 60c d  - 6c )x  - 30c d x - 6c
+--R          *
+--R              +-------+2
+--R             4| 2    2   +-------+
+--R             \|d  + c   \|d x + c
+--R      *
+--R                   +--+  2
+--R                   | 2
+--R                  \|d
+--R             atan(-----)
+--R                    c
+--R         sin(-----------)
+--R                  2
+--R     + 
+--R             6     2 4    4 2  4        5     3 3     5   3
+--R           (d  + 2c d  + c d )x  + (2c d  + 4c d  + 2c d)x
+--R         + 
+--R             6     2 4     4 2    6  2        5     3 3     5       2 4     4 2
+--R           (d  + 3c d  + 3c d  + c )x  + (2c d  + 4c d  + 2c d)x + c d  + 2c d
+--R         + 
+--R            6
+--R           c
+--R      *
+--R                             +--+  8
+--R                             | 2
+--R                            \|d
+--R                       atan(-----)
+--R          +-------+           c
+--R         \|d x + c cos(-----------)
+--R                            2
+--R     + 
+--R              5     2 3  5         4      3 2  4      5      2 3      4   3
+--R           (4d  + 4c d )x  + (12c d  + 12c d )x  + (4d  + 16c d  + 12c d)x
+--R         + 
+--R                 4      3 2     5  2       2 3      4        3 2     5
+--R           (12c d  + 16c d  + 4c )x  + (12c d  + 12c d)x + 4c d  + 4c
+--R      *
+--R                                        +--+  6
+--R                                        | 2
+--R                                       \|d
+--R          +-------+2              atan(-----)
+--R         4| 2    2   +-------+           c
+--R         \|d  + c   \|d x + c cos(-----------)
+--R                                       2
+--R     + 
+--R              6     2 4  6         5      3 3  5      6      2 4      4 2  4
+--R           (6d  + 6c d )x  + (24c d  + 24c d )x  + (6d  + 42c d  + 36c d )x
+--R         + 
+--R                 5      3 3      5   3       2 4      4 2     6  2
+--R           (24c d  + 48c d  + 24c d)x  + (36c d  + 42c d  + 6c )x
+--R         + 
+--R               3 3      5        4 2     6
+--R           (24c d  + 24c d)x + 6c d  + 6c
+--R      *
+--R                             +--+  4
+--R                             | 2
+--R                            \|d
+--R                       atan(-----)
+--R          +-------+           c
+--R         \|d x + c cos(-----------)
+--R                            2
+--R     + 
+--R             5 7        4 6      5      2 3  5         4      3 2  4
+--R           4d x  + 20c d x  + (4d  + 40c d )x  + (20c d  + 40c d )x
+--R         + 
+--R               2 3      4   3       3 2     5  2      4        5
+--R           (40c d  + 20c d)x  + (40c d  + 4c )x  + 20c d x + 4c
+--R      *
+--R                                        +--+  2
+--R                                        | 2
+--R                                       \|d
+--R          +-------+2              atan(-----)
+--R         4| 2    2   +-------+           c
+--R         \|d  + c   \|d x + c cos(-----------)
+--R                                       2
+--R     + 
+--R            6 8       5 7     6      2 4  6        5      3 3  5
+--R           d x  + 6c d x  + (d  + 15c d )x  + (6c d  + 20c d )x
+--R         + 
+--R             2 4      4 2  4       3 3     5   3       4 2    6  2     5       6
+--R         (15c d  + 15c d )x  + (20c d  + 6c d)x  + (15c d  + c )x  + 6c d x + c
+--R      *
+--R          +-------+
+--R         \|d x + c
+--R                                                    Type: Expression(Integer)
+--E 325
+
+--S 326 of 512
+t0165:= (c+d*x)^(1/2)/(a+b*x^2)
+--R 
+--R
+--R           +-------+
+--R          \|d x + c
+--R   (203)  ----------
+--R              2
+--R           b x  + a
+--R                                                    Type: Expression(Integer)
+--E 326
+
+--S 327 of 512
+r0165:= -(-(b*c-a^(1/2)*(-b)^(1/2)*d)^(1/2)*atanh(b^(1/2)*(c+d*x)^(1/2)/_
+        (b*c-a^(1/2)*(-b)^(1/2)*d)^(1/2))+_
+        (b*c+a^(1/2)*(-b)^(1/2)*d)^(1/2)*_
+        atanh(b^(1/2)*(c+d*x)^(1/2)/(b*c+a^(1/2)*(-b)^(1/2)*d)^(1/2)))/_
+        a^(1/2)/(-b)^(1/2)/b^(1/2)
+--R 
+--R
+--R   (204)
+--R        +-------------------+           +-+ +-------+
+--R        |    +---+ +-+                 \|b \|d x + c
+--R       \|- d\|- b \|a  + b c atanh(----------------------)
+--R                                    +-------------------+
+--R                                    |    +---+ +-+
+--R                                   \|- d\|- b \|a  + b c
+--R     + 
+--R          +-----------------+          +-+ +-------+
+--R          |  +---+ +-+                \|b \|d x + c
+--R       - \|d\|- b \|a  + b c atanh(--------------------)
+--R                                    +-----------------+
+--R                                    |  +---+ +-+
+--R                                   \|d\|- b \|a  + b c
+--R  /
+--R      +---+ +-+ +-+
+--R     \|- b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 327
+
+--S 328 of 512
+a0165:= integrate(t0165,x)
+--R 
+--R
+--R   (205)
+--R          +------------------+
+--R          |     +-------+
+--R          |     |     2
+--R          |     |    d
+--R          |2a b |- -----  - c
+--R          |     |      3
+--R          |    \|  4a b
+--R          |------------------
+--R         \|        a b
+--R      *
+--R                             +------------------+
+--R                             |     +-------+
+--R                             |     |     2
+--R                             |     |    d
+--R                   +-------+ |2a b |- -----  - c
+--R                   |     2   |     |      3
+--R                 2 |    d    |    \|  4a b            +-------+
+--R         log(2a b  |- -----  |------------------  + d\|d x + c )
+--R                   |      3 \|        a b
+--R                  \|  4a b
+--R     + 
+--R       -
+--R             +--------------------+
+--R             |       +-------+
+--R             |       |     2
+--R             |       |    d
+--R             |- 2a b |- -----  - c
+--R             |       |      3
+--R             |      \|  4a b
+--R             |--------------------
+--R            \|         a b
+--R         *
+--R                                +--------------------+
+--R                                |       +-------+
+--R                                |       |     2
+--R                                |       |    d
+--R                      +-------+ |- 2a b |- -----  - c
+--R                      |     2   |       |      3
+--R                    2 |    d    |      \|  4a b            +-------+
+--R            log(2a b  |- -----  |--------------------  + d\|d x + c )
+--R                      |      3 \|         a b
+--R                     \|  4a b
+--R     + 
+--R          +--------------------+
+--R          |       +-------+
+--R          |       |     2
+--R          |       |    d
+--R          |- 2a b |- -----  - c
+--R          |       |      3
+--R          |      \|  4a b
+--R          |--------------------
+--R         \|         a b
+--R      *
+--R                               +--------------------+
+--R                               |       +-------+
+--R                               |       |     2
+--R                               |       |    d
+--R                     +-------+ |- 2a b |- -----  - c
+--R                     |     2   |       |      3
+--R                   2 |    d    |      \|  4a b            +-------+
+--R         log(- 2a b  |- -----  |--------------------  + d\|d x + c )
+--R                     |      3 \|         a b
+--R                    \|  4a b
+--R     + 
+--R       -
+--R             +------------------+
+--R             |     +-------+
+--R             |     |     2
+--R             |     |    d
+--R             |2a b |- -----  - c
+--R             |     |      3
+--R             |    \|  4a b
+--R             |------------------
+--R            \|        a b
+--R         *
+--R                                  +------------------+
+--R                                  |     +-------+
+--R                                  |     |     2
+--R                                  |     |    d
+--R                        +-------+ |2a b |- -----  - c
+--R                        |     2   |     |      3
+--R                      2 |    d    |    \|  4a b            +-------+
+--R            log(- 2a b  |- -----  |------------------  + d\|d x + c )
+--R                        |      3 \|        a b
+--R                       \|  4a b
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 328
+
+--S 329 of 512
+m0165:= a0165-r0165
+--R 
+--R
+--R   (206)
+--R                        +------------------+
+--R                        |     +-------+
+--R                        |     |     2
+--R                        |     |    d
+--R                        |2a b |- -----  - c
+--R                        |     |      3
+--R          +---+ +-+ +-+ |    \|  4a b
+--R         \|- b \|a \|b  |------------------
+--R                       \|        a b
+--R      *
+--R                             +------------------+
+--R                             |     +-------+
+--R                             |     |     2
+--R                             |     |    d
+--R                   +-------+ |2a b |- -----  - c
+--R                   |     2   |     |      3
+--R                 2 |    d    |    \|  4a b            +-------+
+--R         log(2a b  |- -----  |------------------  + d\|d x + c )
+--R                   |      3 \|        a b
+--R                  \|  4a b
+--R     + 
+--R       -
+--R                           +--------------------+
+--R                           |       +-------+
+--R                           |       |     2
+--R                           |       |    d
+--R                           |- 2a b |- -----  - c
+--R                           |       |      3
+--R             +---+ +-+ +-+ |      \|  4a b
+--R            \|- b \|a \|b  |--------------------
+--R                          \|         a b
+--R         *
+--R                                +--------------------+
+--R                                |       +-------+
+--R                                |       |     2
+--R                                |       |    d
+--R                      +-------+ |- 2a b |- -----  - c
+--R                      |     2   |       |      3
+--R                    2 |    d    |      \|  4a b            +-------+
+--R            log(2a b  |- -----  |--------------------  + d\|d x + c )
+--R                      |      3 \|         a b
+--R                     \|  4a b
+--R     + 
+--R                        +--------------------+
+--R                        |       +-------+
+--R                        |       |     2
+--R                        |       |    d
+--R                        |- 2a b |- -----  - c
+--R                        |       |      3
+--R          +---+ +-+ +-+ |      \|  4a b
+--R         \|- b \|a \|b  |--------------------
+--R                       \|         a b
+--R      *
+--R                               +--------------------+
+--R                               |       +-------+
+--R                               |       |     2
+--R                               |       |    d
+--R                     +-------+ |- 2a b |- -----  - c
+--R                     |     2   |       |      3
+--R                   2 |    d    |      \|  4a b            +-------+
+--R         log(- 2a b  |- -----  |--------------------  + d\|d x + c )
+--R                     |      3 \|         a b
+--R                    \|  4a b
+--R     + 
+--R       -
+--R                           +------------------+
+--R                           |     +-------+
+--R                           |     |     2
+--R                           |     |    d
+--R                           |2a b |- -----  - c
+--R                           |     |      3
+--R             +---+ +-+ +-+ |    \|  4a b
+--R            \|- b \|a \|b  |------------------
+--R                          \|        a b
+--R         *
+--R                                  +------------------+
+--R                                  |     +-------+
+--R                                  |     |     2
+--R                                  |     |    d
+--R                        +-------+ |2a b |- -----  - c
+--R                        |     2   |     |      3
+--R                      2 |    d    |    \|  4a b            +-------+
+--R            log(- 2a b  |- -----  |------------------  + d\|d x + c )
+--R                        |      3 \|        a b
+--R                       \|  4a b
+--R     + 
+--R           +-------------------+           +-+ +-------+
+--R           |    +---+ +-+                 \|b \|d x + c
+--R       - 2\|- d\|- b \|a  + b c atanh(----------------------)
+--R                                       +-------------------+
+--R                                       |    +---+ +-+
+--R                                      \|- d\|- b \|a  + b c
+--R     + 
+--R         +-----------------+          +-+ +-------+
+--R         |  +---+ +-+                \|b \|d x + c
+--R       2\|d\|- b \|a  + b c atanh(--------------------)
+--R                                   +-----------------+
+--R                                   |  +---+ +-+
+--R                                  \|d\|- b \|a  + b c
+--R  /
+--R       +---+ +-+ +-+
+--R     2\|- b \|a \|b
+--R                                                    Type: Expression(Integer)
+--E 329
+
+--S 330 of 512
+d0165:= D(m0165,x)
+--R 
+--R
+--R   (207)  0
+--R                                                    Type: Expression(Integer)
+--E 330
+
+--S 331 of 512
+t0166:= (c+d*x)^(1/2)/(a-b*x^2)
+--R 
+--R
+--R             +-------+
+--R            \|d x + c
+--R   (208)  - ----------
+--R                2
+--R             b x  - a
+--R                                                    Type: Expression(Integer)
+--E 331
+
+--S 332 of 512
+r0166:= -(b*c-a^(1/2)*b^(1/2)*d)^(1/2)*atanh(b^(1/2)*(c+d*x)^(1/2)/_
+        (b*c-a^(1/2)*b^(1/2)*d)^(1/2))/a^(1/2)/b+_
+        (b*c+a^(1/2)*b^(1/2)*d)^(1/2)*_
+        atanh(b^(1/2)*(c+d*x)^(1/2)/(b*c+a^(1/2)*b^(1/2)*d)^(1/2))/a^(1/2)/b
+--R 
+--R
+--R   (209)
+--R          +-----------------+          +-+ +-------+
+--R          |    +-+ +-+                \|b \|d x + c
+--R       - \|- d\|a \|b  + b c atanh(--------------------)
+--R                                    +-----------------+
+--R                                    |    +-+ +-+
+--R                                   \|- d\|a \|b  + b c
+--R     + 
+--R        +---------------+         +-+ +-------+
+--R        |  +-+ +-+               \|b \|d x + c
+--R       \|d\|a \|b  + b c atanh(------------------)
+--R                                +---------------+
+--R                                |  +-+ +-+
+--R                               \|d\|a \|b  + b c
+--R  /
+--R       +-+
+--R     b\|a
+--R                                                    Type: Expression(Integer)
+--E 332
+
+--S 333 of 512
+a0166:= integrate(t0166,x)
+--R 
+--R
+--R   (210)
+--R        +----------------+                  +----------------+
+--R        |     +-----+                       |     +-----+
+--R        |     |   2                         |     |   2
+--R        |     |  d                          |     |  d
+--R        |2a b |-----  + c           +-----+ |2a b |-----  + c
+--R        |     |    3                |   2   |     |    3
+--R        |    \|4a b               2 |  d    |    \|4a b            +-------+
+--R        |---------------- log(2a b  |-----  |----------------  + d\|d x + c )
+--R       \|       a b                 |    3 \|       a b
+--R                                   \|4a b
+--R     + 
+--R       -
+--R             +------------------+
+--R             |       +-----+
+--R             |       |   2
+--R             |       |  d
+--R             |- 2a b |-----  + c
+--R             |       |    3
+--R             |      \|4a b
+--R             |------------------
+--R            \|        a b
+--R         *
+--R                              +------------------+
+--R                              |       +-----+
+--R                              |       |   2
+--R                              |       |  d
+--R                      +-----+ |- 2a b |-----  + c
+--R                      |   2   |       |    3
+--R                    2 |  d    |      \|4a b            +-------+
+--R            log(2a b  |-----  |------------------  + d\|d x + c )
+--R                      |    3 \|        a b
+--R                     \|4a b
+--R     + 
+--R          +------------------+
+--R          |       +-----+
+--R          |       |   2
+--R          |       |  d
+--R          |- 2a b |-----  + c
+--R          |       |    3
+--R          |      \|4a b
+--R          |------------------
+--R         \|        a b
+--R      *
+--R                             +------------------+
+--R                             |       +-----+
+--R                             |       |   2
+--R                             |       |  d
+--R                     +-----+ |- 2a b |-----  + c
+--R                     |   2   |       |    3
+--R                   2 |  d    |      \|4a b            +-------+
+--R         log(- 2a b  |-----  |------------------  + d\|d x + c )
+--R                     |    3 \|        a b
+--R                    \|4a b
+--R     + 
+--R        +----------------+                    +----------------+
+--R        |     +-----+                         |     +-----+
+--R        |     |   2                           |     |   2
+--R        |     |  d                            |     |  d
+--R        |2a b |-----  + c             +-----+ |2a b |-----  + c
+--R        |     |    3                  |   2   |     |    3
+--R        |    \|4a b                 2 |  d    |    \|4a b            +-------+
+--R     -  |---------------- log(- 2a b  |-----  |----------------  + d\|d x + c )
+--R       \|       a b                   |    3 \|       a b
+--R                                     \|4a b
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 333
+
+--S 334 of 512
+m0166:= a0166-r0166
+--R 
+--R
+--R   (211)
+--R               +----------------+
+--R               |     +-----+
+--R               |     |   2
+--R               |     |  d
+--R               |2a b |-----  + c
+--R               |     |    3
+--R           +-+ |    \|4a b
+--R         b\|a  |----------------
+--R              \|       a b
+--R      *
+--R                           +----------------+
+--R                           |     +-----+
+--R                           |     |   2
+--R                           |     |  d
+--R                   +-----+ |2a b |-----  + c
+--R                   |   2   |     |    3
+--R                 2 |  d    |    \|4a b            +-------+
+--R         log(2a b  |-----  |----------------  + d\|d x + c )
+--R                   |    3 \|       a b
+--R                  \|4a b
+--R     + 
+--R       -
+--R                  +------------------+
+--R                  |       +-----+
+--R                  |       |   2
+--R                  |       |  d
+--R                  |- 2a b |-----  + c
+--R                  |       |    3
+--R              +-+ |      \|4a b
+--R            b\|a  |------------------
+--R                 \|        a b
+--R         *
+--R                              +------------------+
+--R                              |       +-----+
+--R                              |       |   2
+--R                              |       |  d
+--R                      +-----+ |- 2a b |-----  + c
+--R                      |   2   |       |    3
+--R                    2 |  d    |      \|4a b            +-------+
+--R            log(2a b  |-----  |------------------  + d\|d x + c )
+--R                      |    3 \|        a b
+--R                     \|4a b
+--R     + 
+--R               +------------------+
+--R               |       +-----+
+--R               |       |   2
+--R               |       |  d
+--R               |- 2a b |-----  + c
+--R               |       |    3
+--R           +-+ |      \|4a b
+--R         b\|a  |------------------
+--R              \|        a b
+--R      *
+--R                             +------------------+
+--R                             |       +-----+
+--R                             |       |   2
+--R                             |       |  d
+--R                     +-----+ |- 2a b |-----  + c
+--R                     |   2   |       |    3
+--R                   2 |  d    |      \|4a b            +-------+
+--R         log(- 2a b  |-----  |------------------  + d\|d x + c )
+--R                     |    3 \|        a b
+--R                    \|4a b
+--R     + 
+--R       -
+--R                  +----------------+
+--R                  |     +-----+
+--R                  |     |   2
+--R                  |     |  d
+--R                  |2a b |-----  + c
+--R                  |     |    3
+--R              +-+ |    \|4a b
+--R            b\|a  |----------------
+--R                 \|       a b
+--R         *
+--R                                +----------------+
+--R                                |     +-----+
+--R                                |     |   2
+--R                                |     |  d
+--R                        +-----+ |2a b |-----  + c
+--R                        |   2   |     |    3
+--R                      2 |  d    |    \|4a b            +-------+
+--R            log(- 2a b  |-----  |----------------  + d\|d x + c )
+--R                        |    3 \|       a b
+--R                       \|4a b
+--R     + 
+--R         +-----------------+          +-+ +-------+
+--R         |    +-+ +-+                \|b \|d x + c
+--R       2\|- d\|a \|b  + b c atanh(--------------------)
+--R                                   +-----------------+
+--R                                   |    +-+ +-+
+--R                                  \|- d\|a \|b  + b c
+--R     + 
+--R           +---------------+         +-+ +-------+
+--R           |  +-+ +-+               \|b \|d x + c
+--R       - 2\|d\|a \|b  + b c atanh(------------------)
+--R                                   +---------------+
+--R                                   |  +-+ +-+
+--R                                  \|d\|a \|b  + b c
+--R  /
+--R        +-+
+--R     2b\|a
+--R                                                    Type: Expression(Integer)
+--E 334
+
+--S 335 of 512
+d0166:= D(m0166,x)
+--R 
+--R
+--R   (212)  0
+--R                                                    Type: Expression(Integer)
+--E 335
+
+--S 336 of 512
+t0167:= 1/(c+d*x)^(1/2)/(a+b*x^2)
+--R 
+--R
+--R                    1
+--R   (213)  --------------------
+--R              2      +-------+
+--R          (b x  + a)\|d x + c
+--R                                                    Type: Expression(Integer)
+--E 336
+
+--S 337 of 512
+r0167:= b^(1/2)*atanh(b^(1/2)*(c+d*x)^(1/2)/(b*c-a^(1/2)*(-b)^(1/2)*d)^(1/2))/_
+        a^(1/2)/(-b)^(1/2)/(b*c-a^(1/2)*(-b)^(1/2)*d)^(1/2)-b^(1/2)*_
+        atanh(b^(1/2)*(c+d*x)^(1/2)/(b*c+a^(1/2)*(-b)^(1/2)*d)^(1/2))/_
+        a^(1/2)/(-b)^(1/2)/(b*c+a^(1/2)*(-b)^(1/2)*d)^(1/2)
+--R 
+--R
+--R   (214)
+--R            +-----------------+           +-+ +-------+
+--R        +-+ |  +---+ +-+                 \|b \|d x + c
+--R       \|b \|d\|- b \|a  + b c atanh(----------------------)
+--R                                      +-------------------+
+--R                                      |    +---+ +-+
+--R                                     \|- d\|- b \|a  + b c
+--R     + 
+--R              +-------------------+          +-+ +-------+
+--R          +-+ |    +---+ +-+                \|b \|d x + c
+--R       - \|b \|- d\|- b \|a  + b c atanh(--------------------)
+--R                                          +-----------------+
+--R                                          |  +---+ +-+
+--R                                         \|d\|- b \|a  + b c
+--R  /
+--R                +-------------------+ +-----------------+
+--R      +---+ +-+ |    +---+ +-+        |  +---+ +-+
+--R     \|- b \|a \|- d\|- b \|a  + b c \|d\|- b \|a  + b c
+--R                                                    Type: Expression(Integer)
+--E 337
+
+--S 338 of 512
+a0167:= integrate(t0167,x)
+--R 
+--R
+--R   (215)
+--R       -
+--R             +-------------------------------------------------------+
+--R             |                  +-------------------------------+
+--R             |                  |                 2
+--R             |   2 2         2  |                d
+--R             |(2a d  + 2a b c ) |- -----------------------------  - c
+--R             |                  |    3   4     2 2 2 2       3 4
+--R             |                 \|  4a b d  + 8a b c d  + 4a b c
+--R             |-------------------------------------------------------
+--R             |                      2 2        2
+--R            \|                     a d  + a b c
+--R         *
+--R            log
+--R                                           +-------------------------------+
+--R                                           |                 2
+--R                        2     2       2 3  |                d
+--R                     (2a b c d  + 2a b c ) |- -----------------------------
+--R                                           |    3   4     2 2 2 2       3 4
+--R                                          \|  4a b d  + 8a b c d  + 4a b c
+--R                   + 
+--R                          2
+--R                     - a d
+--R                *
+--R                    +-------------------------------------------------------+
+--R                    |                  +-------------------------------+
+--R                    |                  |                 2
+--R                    |   2 2         2  |                d
+--R                    |(2a d  + 2a b c ) |- -----------------------------  - c
+--R                    |                  |    3   4     2 2 2 2       3 4
+--R                    |                 \|  4a b d  + 8a b c d  + 4a b c
+--R                    |-------------------------------------------------------
+--R                    |                      2 2        2
+--R                   \|                     a d  + a b c
+--R               + 
+--R                   +-------+
+--R                 d\|d x + c
+--R     + 
+--R          +---------------------------------------------------------+
+--R          |                    +-------------------------------+
+--R          |                    |                 2
+--R          |     2 2         2  |                d
+--R          |(- 2a d  - 2a b c ) |- -----------------------------  - c
+--R          |                    |    3   4     2 2 2 2       3 4
+--R          |                   \|  4a b d  + 8a b c d  + 4a b c
+--R          |---------------------------------------------------------
+--R          |                       2 2        2
+--R         \|                      a d  + a b c
+--R      *
+--R         log
+--R                                       +-------------------------------+
+--R                                       |                 2
+--R                    2     2       2 3  |                d                     2
+--R                ((2a b c d  + 2a b c ) |- -----------------------------  + a d )
+--R                                       |    3   4     2 2 2 2       3 4
+--R                                      \|  4a b d  + 8a b c d  + 4a b c
+--R             *
+--R                 +---------------------------------------------------------+
+--R                 |                    +-------------------------------+
+--R                 |                    |                 2
+--R                 |     2 2         2  |                d
+--R                 |(- 2a d  - 2a b c ) |- -----------------------------  - c
+--R                 |                    |    3   4     2 2 2 2       3 4
+--R                 |                   \|  4a b d  + 8a b c d  + 4a b c
+--R                 |---------------------------------------------------------
+--R                 |                       2 2        2
+--R                \|                      a d  + a b c
+--R            + 
+--R                +-------+
+--R              d\|d x + c
+--R     + 
+--R       -
+--R             +---------------------------------------------------------+
+--R             |                    +-------------------------------+
+--R             |                    |                 2
+--R             |     2 2         2  |                d
+--R             |(- 2a d  - 2a b c ) |- -----------------------------  - c
+--R             |                    |    3   4     2 2 2 2       3 4
+--R             |                   \|  4a b d  + 8a b c d  + 4a b c
+--R             |---------------------------------------------------------
+--R             |                       2 2        2
+--R            \|                      a d  + a b c
+--R         *
+--R            log
+--R                                             +-------------------------------+
+--R                                             |                 2
+--R                          2     2       2 3  |                d
+--R                     (- 2a b c d  - 2a b c ) |- -----------------------------
+--R                                             |    3   4     2 2 2 2       3 4
+--R                                            \|  4a b d  + 8a b c d  + 4a b c
+--R                   + 
+--R                          2
+--R                     - a d
+--R                *
+--R                    +---------------------------------------------------------+
+--R                    |                    +-------------------------------+
+--R                    |                    |                 2
+--R                    |     2 2         2  |                d
+--R                    |(- 2a d  - 2a b c ) |- -----------------------------  - c
+--R                    |                    |    3   4     2 2 2 2       3 4
+--R                    |                   \|  4a b d  + 8a b c d  + 4a b c
+--R                    |---------------------------------------------------------
+--R                    |                       2 2        2
+--R                   \|                      a d  + a b c
+--R               + 
+--R                   +-------+
+--R                 d\|d x + c
+--R     + 
+--R          +-------------------------------------------------------+
+--R          |                  +-------------------------------+
+--R          |                  |                 2
+--R          |   2 2         2  |                d
+--R          |(2a d  + 2a b c ) |- -----------------------------  - c
+--R          |                  |    3   4     2 2 2 2       3 4
+--R          |                 \|  4a b d  + 8a b c d  + 4a b c
+--R          |-------------------------------------------------------
+--R          |                      2 2        2
+--R         \|                     a d  + a b c
+--R      *
+--R         log
+--R                                            +-------------------------------+
+--R                                            |                 2
+--R                         2     2       2 3  |                d
+--R                    (- 2a b c d  - 2a b c ) |- -----------------------------
+--R                                            |    3   4     2 2 2 2       3 4
+--R                                           \|  4a b d  + 8a b c d  + 4a b c
+--R                  + 
+--R                       2
+--R                    a d
+--R             *
+--R                 +-------------------------------------------------------+
+--R                 |                  +-------------------------------+
+--R                 |                  |                 2
+--R                 |   2 2         2  |                d
+--R                 |(2a d  + 2a b c ) |- -----------------------------  - c
+--R                 |                  |    3   4     2 2 2 2       3 4
+--R                 |                 \|  4a b d  + 8a b c d  + 4a b c
+--R                 |-------------------------------------------------------
+--R                 |                      2 2        2
+--R                \|                     a d  + a b c
+--R            + 
+--R                +-------+
+--R              d\|d x + c
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 338
+
+--S 339 of 512
+m0167:= a0167-r0167
+--R 
+--R
+--R   (216)
+--R       -
+--R                       +-------------------+
+--R             +---+ +-+ |    +---+ +-+
+--R            \|- b \|a \|- d\|- b \|a  + b c
+--R         *
+--R             +-------------------------------------------------------+
+--R             |                  +-------------------------------+
+--R             |                  |                 2
+--R             |   2 2         2  |                d
+--R             |(2a d  + 2a b c ) |- -----------------------------  - c
+--R             |                  |    3   4     2 2 2 2       3 4
+--R             |                 \|  4a b d  + 8a b c d  + 4a b c
+--R             |-------------------------------------------------------
+--R             |                      2 2        2
+--R            \|                     a d  + a b c
+--R         *
+--R             +-----------------+
+--R             |  +---+ +-+
+--R            \|d\|- b \|a  + b c
+--R         *
+--R            log
+--R                                           +-------------------------------+
+--R                                           |                 2
+--R                        2     2       2 3  |                d
+--R                     (2a b c d  + 2a b c ) |- -----------------------------
+--R                                           |    3   4     2 2 2 2       3 4
+--R                                          \|  4a b d  + 8a b c d  + 4a b c
+--R                   + 
+--R                          2
+--R                     - a d
+--R                *
+--R                    +-------------------------------------------------------+
+--R                    |                  +-------------------------------+
+--R                    |                  |                 2
+--R                    |   2 2         2  |                d
+--R                    |(2a d  + 2a b c ) |- -----------------------------  - c
+--R                    |                  |    3   4     2 2 2 2       3 4
+--R                    |                 \|  4a b d  + 8a b c d  + 4a b c
+--R                    |-------------------------------------------------------
+--R                    |                      2 2        2
+--R                   \|                     a d  + a b c
+--R               + 
+--R                   +-------+
+--R                 d\|d x + c
+--R     + 
+--R                    +-------------------+
+--R          +---+ +-+ |    +---+ +-+
+--R         \|- b \|a \|- d\|- b \|a  + b c
+--R      *
+--R          +---------------------------------------------------------+
+--R          |                    +-------------------------------+
+--R          |                    |                 2
+--R          |     2 2         2  |                d
+--R          |(- 2a d  - 2a b c ) |- -----------------------------  - c
+--R          |                    |    3   4     2 2 2 2       3 4
+--R          |                   \|  4a b d  + 8a b c d  + 4a b c
+--R          |---------------------------------------------------------
+--R          |                       2 2        2
+--R         \|                      a d  + a b c
+--R      *
+--R          +-----------------+
+--R          |  +---+ +-+
+--R         \|d\|- b \|a  + b c
+--R      *
+--R         log
+--R                                       +-------------------------------+
+--R                                       |                 2
+--R                    2     2       2 3  |                d                     2
+--R                ((2a b c d  + 2a b c ) |- -----------------------------  + a d )
+--R                                       |    3   4     2 2 2 2       3 4
+--R                                      \|  4a b d  + 8a b c d  + 4a b c
+--R             *
+--R                 +---------------------------------------------------------+
+--R                 |                    +-------------------------------+
+--R                 |                    |                 2
+--R                 |     2 2         2  |                d
+--R                 |(- 2a d  - 2a b c ) |- -----------------------------  - c
+--R                 |                    |    3   4     2 2 2 2       3 4
+--R                 |                   \|  4a b d  + 8a b c d  + 4a b c
+--R                 |---------------------------------------------------------
+--R                 |                       2 2        2
+--R                \|                      a d  + a b c
+--R            + 
+--R                +-------+
+--R              d\|d x + c
+--R     + 
+--R       -
+--R                       +-------------------+
+--R             +---+ +-+ |    +---+ +-+
+--R            \|- b \|a \|- d\|- b \|a  + b c
+--R         *
+--R             +---------------------------------------------------------+
+--R             |                    +-------------------------------+
+--R             |                    |                 2
+--R             |     2 2         2  |                d
+--R             |(- 2a d  - 2a b c ) |- -----------------------------  - c
+--R             |                    |    3   4     2 2 2 2       3 4
+--R             |                   \|  4a b d  + 8a b c d  + 4a b c
+--R             |---------------------------------------------------------
+--R             |                       2 2        2
+--R            \|                      a d  + a b c
+--R         *
+--R             +-----------------+
+--R             |  +---+ +-+
+--R            \|d\|- b \|a  + b c
+--R         *
+--R            log
+--R                                             +-------------------------------+
+--R                                             |                 2
+--R                          2     2       2 3  |                d
+--R                     (- 2a b c d  - 2a b c ) |- -----------------------------
+--R                                             |    3   4     2 2 2 2       3 4
+--R                                            \|  4a b d  + 8a b c d  + 4a b c
+--R                   + 
+--R                          2
+--R                     - a d
+--R                *
+--R                    +---------------------------------------------------------+
+--R                    |                    +-------------------------------+
+--R                    |                    |                 2
+--R                    |     2 2         2  |                d
+--R                    |(- 2a d  - 2a b c ) |- -----------------------------  - c
+--R                    |                    |    3   4     2 2 2 2       3 4
+--R                    |                   \|  4a b d  + 8a b c d  + 4a b c
+--R                    |---------------------------------------------------------
+--R                    |                       2 2        2
+--R                   \|                      a d  + a b c
+--R               + 
+--R                   +-------+
+--R                 d\|d x + c
+--R     + 
+--R                    +-------------------+
+--R          +---+ +-+ |    +---+ +-+
+--R         \|- b \|a \|- d\|- b \|a  + b c
+--R      *
+--R          +-------------------------------------------------------+
+--R          |                  +-------------------------------+
+--R          |                  |                 2
+--R          |   2 2         2  |                d
+--R          |(2a d  + 2a b c ) |- -----------------------------  - c
+--R          |                  |    3   4     2 2 2 2       3 4
+--R          |                 \|  4a b d  + 8a b c d  + 4a b c
+--R          |-------------------------------------------------------
+--R          |                      2 2        2
+--R         \|                     a d  + a b c
+--R      *
+--R          +-----------------+
+--R          |  +---+ +-+
+--R         \|d\|- b \|a  + b c
+--R      *
+--R         log
+--R                                            +-------------------------------+
+--R                                            |                 2
+--R                         2     2       2 3  |                d
+--R                    (- 2a b c d  - 2a b c ) |- -----------------------------
+--R                                            |    3   4     2 2 2 2       3 4
+--R                                           \|  4a b d  + 8a b c d  + 4a b c
+--R                  + 
+--R                       2
+--R                    a d
+--R             *
+--R                 +-------------------------------------------------------+
+--R                 |                  +-------------------------------+
+--R                 |                  |                 2
+--R                 |   2 2         2  |                d
+--R                 |(2a d  + 2a b c ) |- -----------------------------  - c
+--R                 |                  |    3   4     2 2 2 2       3 4
+--R                 |                 \|  4a b d  + 8a b c d  + 4a b c
+--R                 |-------------------------------------------------------
+--R                 |                      2 2        2
+--R                \|                     a d  + a b c
+--R            + 
+--R                +-------+
+--R              d\|d x + c
+--R     + 
+--R               +-----------------+           +-+ +-------+
+--R           +-+ |  +---+ +-+                 \|b \|d x + c
+--R       - 2\|b \|d\|- b \|a  + b c atanh(----------------------)
+--R                                         +-------------------+
+--R                                         |    +---+ +-+
+--R                                        \|- d\|- b \|a  + b c
+--R     + 
+--R             +-------------------+          +-+ +-------+
+--R         +-+ |    +---+ +-+                \|b \|d x + c
+--R       2\|b \|- d\|- b \|a  + b c atanh(--------------------)
+--R                                         +-----------------+
+--R                                         |  +---+ +-+
+--R                                        \|d\|- b \|a  + b c
+--R  /
+--R                 +-------------------+ +-----------------+
+--R       +---+ +-+ |    +---+ +-+        |  +---+ +-+
+--R     2\|- b \|a \|- d\|- b \|a  + b c \|d\|- b \|a  + b c
+--R                                                    Type: Expression(Integer)
+--E 339
+
+--S 340 of 512
+d0167:= D(m0167,x)
+--R 
+--R
+--R   (217)  0
+--R                                                    Type: Expression(Integer)
+--E 340
+
+--S 341 of 512
+t0168:= (c+d*x)^(3/2)/(a-b*x^2)
+--R 
+--R
+--R                      +-------+
+--R          (- d x - c)\|d x + c
+--R   (218)  ---------------------
+--R                    2
+--R                 b x  - a
+--R                                                    Type: Expression(Integer)
+--E 341
+
+--S 342 of 512
+r0168:= -2*d*(c+d*x)^(1/2)/b+(2*b^(1/2)*c*d-(b*c^2+a*d^2)/a^(1/2))*_
+        atanh(b^(1/2)*(c+d*x)^(1/2)/(b*c-a^(1/2)*b^(1/2)*d)^(1/2))/_
+        b/(b*c-a^(1/2)*b^(1/2)*d)^(1/2)+(2*b^(1/2)*c*d+(b*c^2+a*d^2)/_
+        a^(1/2))*atanh(b^(1/2)*(c+d*x)^(1/2)/_
+        (b*c+a^(1/2)*b^(1/2)*d)^(1/2))/b/(b*c+a^(1/2)*b^(1/2)*d)^(1/2)
+--R 
+--R
+--R   (219)
+--R                                    +---------------+          +-+ +-------+
+--R             +-+ +-+      2      2  |  +-+ +-+                \|b \|d x + c
+--R       (2c d\|a \|b  - a d  - b c )\|d\|a \|b  + b c atanh(--------------------)
+--R                                                            +-----------------+
+--R                                                            |    +-+ +-+
+--R                                                           \|- d\|a \|b  + b c
+--R     + 
+--R                                    +-----------------+         +-+ +-------+
+--R             +-+ +-+      2      2  |    +-+ +-+               \|b \|d x + c
+--R       (2c d\|a \|b  + a d  + b c )\|- d\|a \|b  + b c atanh(------------------)
+--R                                                              +---------------+
+--R                                                              |  +-+ +-+
+--R                                                             \|d\|a \|b  + b c
+--R     + 
+--R                          +-----------------+ +---------------+
+--R            +-+ +-------+ |    +-+ +-+        |  +-+ +-+
+--R       - 2d\|a \|d x + c \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R  /
+--R           +-----------------+ +---------------+
+--R       +-+ |    +-+ +-+        |  +-+ +-+
+--R     b\|a \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R                                                    Type: Expression(Integer)
+--E 342
+
+--S 343 of 512
+a0168:= integrate(t0168,x)
+--R 
+--R
+--R   (220)
+--R       -
+--R              +---------------------------------------------------+
+--R              |      +--------------------------+
+--R              |      | 2 6         2 4     2 4 2
+--R              |    2 |a d  + 6a b c d  + 9b c d           2      3
+--R              |2a b  |--------------------------  + 3a c d  + b c
+--R              |      |               5
+--R              |     \|           4a b
+--R            b |---------------------------------------------------
+--R              |                           2
+--R             \|                        a b
+--R         *
+--R            log
+--R                           +--------------------------+
+--R                           | 2 6         2 4     2 4 2
+--R                        4  |a d  + 6a b c d  + 9b c d      2   4       2 2 2
+--R                   (2a b c |--------------------------  - a b d  - 3a b c d )
+--R                           |               5
+--R                          \|           4a b
+--R                *
+--R                    +---------------------------------------------------+
+--R                    |      +--------------------------+
+--R                    |      | 2 6         2 4     2 4 2
+--R                    |    2 |a d  + 6a b c d  + 9b c d           2      3
+--R                    |2a b  |--------------------------  + 3a c d  + b c
+--R                    |      |               5
+--R                    |     \|           4a b
+--R                    |---------------------------------------------------
+--R                    |                           2
+--R                   \|                        a b
+--R               + 
+--R                   2 5         2 3     2 4   +-------+
+--R                 (a d  + 2a b c d  - 3b c d)\|d x + c
+--R     + 
+--R           +-----------------------------------------------------+
+--R           |        +--------------------------+
+--R           |        | 2 6         2 4     2 4 2
+--R           |      2 |a d  + 6a b c d  + 9b c d           2      3
+--R           |- 2a b  |--------------------------  + 3a c d  + b c
+--R           |        |               5
+--R           |       \|           4a b
+--R         b |-----------------------------------------------------
+--R           |                            2
+--R          \|                         a b
+--R      *
+--R         log
+--R                        +--------------------------+
+--R                        | 2 6         2 4     2 4 2
+--R                     4  |a d  + 6a b c d  + 9b c d      2   4       2 2 2
+--R                (2a b c |--------------------------  + a b d  + 3a b c d )
+--R                        |               5
+--R                       \|           4a b
+--R             *
+--R                 +-----------------------------------------------------+
+--R                 |        +--------------------------+
+--R                 |        | 2 6         2 4     2 4 2
+--R                 |      2 |a d  + 6a b c d  + 9b c d           2      3
+--R                 |- 2a b  |--------------------------  + 3a c d  + b c
+--R                 |        |               5
+--R                 |       \|           4a b
+--R                 |-----------------------------------------------------
+--R                 |                            2
+--R                \|                         a b
+--R            + 
+--R                2 5         2 3     2 4   +-------+
+--R              (a d  + 2a b c d  - 3b c d)\|d x + c
+--R     + 
+--R       -
+--R              +-----------------------------------------------------+
+--R              |        +--------------------------+
+--R              |        | 2 6         2 4     2 4 2
+--R              |      2 |a d  + 6a b c d  + 9b c d           2      3
+--R              |- 2a b  |--------------------------  + 3a c d  + b c
+--R              |        |               5
+--R              |       \|           4a b
+--R            b |-----------------------------------------------------
+--R              |                            2
+--R             \|                         a b
+--R         *
+--R            log
+--R                             +--------------------------+
+--R                             | 2 6         2 4     2 4 2
+--R                          4  |a d  + 6a b c d  + 9b c d      2   4       2 2 2
+--R                   (- 2a b c |--------------------------  - a b d  - 3a b c d )
+--R                             |               5
+--R                            \|           4a b
+--R                *
+--R                    +-----------------------------------------------------+
+--R                    |        +--------------------------+
+--R                    |        | 2 6         2 4     2 4 2
+--R                    |      2 |a d  + 6a b c d  + 9b c d           2      3
+--R                    |- 2a b  |--------------------------  + 3a c d  + b c
+--R                    |        |               5
+--R                    |       \|           4a b
+--R                    |-----------------------------------------------------
+--R                    |                            2
+--R                   \|                         a b
+--R               + 
+--R                   2 5         2 3     2 4   +-------+
+--R                 (a d  + 2a b c d  - 3b c d)\|d x + c
+--R     + 
+--R           +---------------------------------------------------+
+--R           |      +--------------------------+
+--R           |      | 2 6         2 4     2 4 2
+--R           |    2 |a d  + 6a b c d  + 9b c d           2      3
+--R           |2a b  |--------------------------  + 3a c d  + b c
+--R           |      |               5
+--R           |     \|           4a b
+--R         b |---------------------------------------------------
+--R           |                           2
+--R          \|                        a b
+--R      *
+--R         log
+--R                          +--------------------------+
+--R                          | 2 6         2 4     2 4 2
+--R                       4  |a d  + 6a b c d  + 9b c d      2   4       2 2 2
+--R                (- 2a b c |--------------------------  + a b d  + 3a b c d )
+--R                          |               5
+--R                         \|           4a b
+--R             *
+--R                 +---------------------------------------------------+
+--R                 |      +--------------------------+
+--R                 |      | 2 6         2 4     2 4 2
+--R                 |    2 |a d  + 6a b c d  + 9b c d           2      3
+--R                 |2a b  |--------------------------  + 3a c d  + b c
+--R                 |      |               5
+--R                 |     \|           4a b
+--R                 |---------------------------------------------------
+--R                 |                           2
+--R                \|                        a b
+--R            + 
+--R                2 5         2 3     2 4   +-------+
+--R              (a d  + 2a b c d  - 3b c d)\|d x + c
+--R     + 
+--R            +-------+
+--R       - 4d\|d x + c
+--R  /
+--R     2b
+--R                                         Type: Union(Expression(Integer),...)
+--E 343
+
+--S 344 of 512
+m0168:= a0168-r0168
+--R 
+--R
+--R   (221)
+--R       -
+--R                  +-----------------+ +---------------+
+--R              +-+ |    +-+ +-+        |  +-+ +-+
+--R            b\|a \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R         *
+--R             +---------------------------------------------------+
+--R             |      +--------------------------+
+--R             |      | 2 6         2 4     2 4 2
+--R             |    2 |a d  + 6a b c d  + 9b c d           2      3
+--R             |2a b  |--------------------------  + 3a c d  + b c
+--R             |      |               5
+--R             |     \|           4a b
+--R             |---------------------------------------------------
+--R             |                           2
+--R            \|                        a b
+--R         *
+--R            log
+--R                           +--------------------------+
+--R                           | 2 6         2 4     2 4 2
+--R                        4  |a d  + 6a b c d  + 9b c d      2   4       2 2 2
+--R                   (2a b c |--------------------------  - a b d  - 3a b c d )
+--R                           |               5
+--R                          \|           4a b
+--R                *
+--R                    +---------------------------------------------------+
+--R                    |      +--------------------------+
+--R                    |      | 2 6         2 4     2 4 2
+--R                    |    2 |a d  + 6a b c d  + 9b c d           2      3
+--R                    |2a b  |--------------------------  + 3a c d  + b c
+--R                    |      |               5
+--R                    |     \|           4a b
+--R                    |---------------------------------------------------
+--R                    |                           2
+--R                   \|                        a b
+--R               + 
+--R                   2 5         2 3     2 4   +-------+
+--R                 (a d  + 2a b c d  - 3b c d)\|d x + c
+--R     + 
+--R               +-----------------------------------------------------+
+--R               |        +--------------------------+
+--R               |        | 2 6         2 4     2 4 2
+--R               |      2 |a d  + 6a b c d  + 9b c d           2      3
+--R               |- 2a b  |--------------------------  + 3a c d  + b c
+--R               |        |               5
+--R           +-+ |       \|           4a b
+--R         b\|a  |-----------------------------------------------------
+--R               |                            2
+--R              \|                         a b
+--R      *
+--R          +-----------------+ +---------------+
+--R          |    +-+ +-+        |  +-+ +-+
+--R         \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R      *
+--R         log
+--R                        +--------------------------+
+--R                        | 2 6         2 4     2 4 2
+--R                     4  |a d  + 6a b c d  + 9b c d      2   4       2 2 2
+--R                (2a b c |--------------------------  + a b d  + 3a b c d )
+--R                        |               5
+--R                       \|           4a b
+--R             *
+--R                 +-----------------------------------------------------+
+--R                 |        +--------------------------+
+--R                 |        | 2 6         2 4     2 4 2
+--R                 |      2 |a d  + 6a b c d  + 9b c d           2      3
+--R                 |- 2a b  |--------------------------  + 3a c d  + b c
+--R                 |        |               5
+--R                 |       \|           4a b
+--R                 |-----------------------------------------------------
+--R                 |                            2
+--R                \|                         a b
+--R            + 
+--R                2 5         2 3     2 4   +-------+
+--R              (a d  + 2a b c d  - 3b c d)\|d x + c
+--R     + 
+--R       -
+--R                  +-----------------------------------------------------+
+--R                  |        +--------------------------+
+--R                  |        | 2 6         2 4     2 4 2
+--R                  |      2 |a d  + 6a b c d  + 9b c d           2      3
+--R                  |- 2a b  |--------------------------  + 3a c d  + b c
+--R                  |        |               5
+--R              +-+ |       \|           4a b
+--R            b\|a  |-----------------------------------------------------
+--R                  |                            2
+--R                 \|                         a b
+--R         *
+--R             +-----------------+ +---------------+
+--R             |    +-+ +-+        |  +-+ +-+
+--R            \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R         *
+--R            log
+--R                             +--------------------------+
+--R                             | 2 6         2 4     2 4 2
+--R                          4  |a d  + 6a b c d  + 9b c d      2   4       2 2 2
+--R                   (- 2a b c |--------------------------  - a b d  - 3a b c d )
+--R                             |               5
+--R                            \|           4a b
+--R                *
+--R                    +-----------------------------------------------------+
+--R                    |        +--------------------------+
+--R                    |        | 2 6         2 4     2 4 2
+--R                    |      2 |a d  + 6a b c d  + 9b c d           2      3
+--R                    |- 2a b  |--------------------------  + 3a c d  + b c
+--R                    |        |               5
+--R                    |       \|           4a b
+--R                    |-----------------------------------------------------
+--R                    |                            2
+--R                   \|                         a b
+--R               + 
+--R                   2 5         2 3     2 4   +-------+
+--R                 (a d  + 2a b c d  - 3b c d)\|d x + c
+--R     + 
+--R               +-----------------+ +---------------+
+--R           +-+ |    +-+ +-+        |  +-+ +-+
+--R         b\|a \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R      *
+--R          +---------------------------------------------------+
+--R          |      +--------------------------+
+--R          |      | 2 6         2 4     2 4 2
+--R          |    2 |a d  + 6a b c d  + 9b c d           2      3
+--R          |2a b  |--------------------------  + 3a c d  + b c
+--R          |      |               5
+--R          |     \|           4a b
+--R          |---------------------------------------------------
+--R          |                           2
+--R         \|                        a b
+--R      *
+--R         log
+--R                          +--------------------------+
+--R                          | 2 6         2 4     2 4 2
+--R                       4  |a d  + 6a b c d  + 9b c d      2   4       2 2 2
+--R                (- 2a b c |--------------------------  + a b d  + 3a b c d )
+--R                          |               5
+--R                         \|           4a b
+--R             *
+--R                 +---------------------------------------------------+
+--R                 |      +--------------------------+
+--R                 |      | 2 6         2 4     2 4 2
+--R                 |    2 |a d  + 6a b c d  + 9b c d           2      3
+--R                 |2a b  |--------------------------  + 3a c d  + b c
+--R                 |      |               5
+--R                 |     \|           4a b
+--R                 |---------------------------------------------------
+--R                 |                           2
+--R                \|                        a b
+--R            + 
+--R                2 5         2 3     2 4   +-------+
+--R              (a d  + 2a b c d  - 3b c d)\|d x + c
+--R     + 
+--R                                          +---------------+
+--R                 +-+ +-+       2       2  |  +-+ +-+
+--R         (- 4c d\|a \|b  + 2a d  + 2b c )\|d\|a \|b  + b c
+--R      *
+--R                   +-+ +-------+
+--R                  \|b \|d x + c
+--R         atanh(--------------------)
+--R                +-----------------+
+--R                |    +-+ +-+
+--R               \|- d\|a \|b  + b c
+--R     + 
+--R                                          +-----------------+
+--R                 +-+ +-+       2       2  |    +-+ +-+
+--R         (- 4c d\|a \|b  - 2a d  - 2b c )\|- d\|a \|b  + b c
+--R      *
+--R                  +-+ +-------+
+--R                 \|b \|d x + c
+--R         atanh(------------------)
+--R                +---------------+
+--R                |  +-+ +-+
+--R               \|d\|a \|b  + b c
+--R  /
+--R            +-----------------+ +---------------+
+--R        +-+ |    +-+ +-+        |  +-+ +-+
+--R     2b\|a \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R                                                    Type: Expression(Integer)
+--E 344
+
+--S 345 of 512
+d0168:= D(m0168,x)
+--R 
+--R
+--R   (222)  0
+--R                                                    Type: Expression(Integer)
+--E 345
+
+--S 346 of 512
+t0169:= 1/(c+d*x)^(3/2)/(a+b*x^2)
+--R 
+--R
+--R                              1
+--R   (223)  -----------------------------------------
+--R                3        2                +-------+
+--R          (b d x  + b c x  + a d x + a c)\|d x + c
+--R                                                    Type: Expression(Integer)
+--E 346
+
+--S 347 of 512
+r0169:= -2*d/(b*c^2+a*d^2)/(c+d*x)^(1/2)+((-b)^(3/2)*c/a^(1/2)+b*d)*_
+        atanh(b^(1/2)*(c+d*x)^(1/2)/(b*c-a^(1/2)*(-b)^(1/2)*d)^(1/2))/_
+        b^(1/2)/(b*c-a^(1/2)*(-b)^(1/2)*d)^(1/2)/(b*c^2+a*d^2)-_
+        ((-b)^(3/2)*c/a^(1/2)-b*d)*atanh(b^(1/2)*(c+d*x)^(1/2)/(b*c+_
+        a^(1/2)*(-b)^(1/2)*d)^(1/2))/b^(1/2)/(b*c+a^(1/2)*_
+        (-b)^(1/2)*d)^(1/2)/(b*c^2+a*d^2)
+--R 
+--R
+--R   (224)
+--R                                         +-----------------+
+--R              +-+       +---+  +-------+ |  +---+ +-+
+--R         (b d\|a  - b c\|- b )\|d x + c \|d\|- b \|a  + b c
+--R      *
+--R                    +-+ +-------+
+--R                   \|b \|d x + c
+--R         atanh(----------------------)
+--R                +-------------------+
+--R                |    +---+ +-+
+--R               \|- d\|- b \|a  + b c
+--R     + 
+--R                                         +-------------------+
+--R              +-+       +---+  +-------+ |    +---+ +-+
+--R         (b d\|a  + b c\|- b )\|d x + c \|- d\|- b \|a  + b c
+--R      *
+--R                   +-+ +-------+
+--R                  \|b \|d x + c
+--R         atanh(--------------------)
+--R                +-----------------+
+--R                |  +---+ +-+
+--R               \|d\|- b \|a  + b c
+--R     + 
+--R                    +-------------------+ +-----------------+
+--R            +-+ +-+ |    +---+ +-+        |  +---+ +-+
+--R       - 2d\|a \|b \|- d\|- b \|a  + b c \|d\|- b \|a  + b c
+--R  /
+--R                                     +-------------------+ +-----------------+
+--R         2      2  +-+ +-+ +-------+ |    +---+ +-+        |  +---+ +-+
+--R     (a d  + b c )\|a \|b \|d x + c \|- d\|- b \|a  + b c \|d\|- b \|a  + b c
+--R                                                    Type: Expression(Integer)
+--E 347
+
+--S 348 of 512
+a0169:= integrate(t0169,x)
+--R 
+--R
+--R   (225)
+--R               2      2  +-------+
+--R         (- a d  - b c )\|d x + c
+--R      *
+--R         ROOT
+--R                     4 6     3   2 4     2 2 4 2       3 6
+--R                  (2a d  + 6a b c d  + 6a b c d  + 2a b c )
+--R               *
+--R                  ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                       - a b d  + 6a b c d  - 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  + 24a b c  d  + 4a b c
+--R              + 
+--R                        2    2 3
+--R                3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  + 3a b c d  + 3a b c d  + a b c
+--R      *
+--R         log
+--R                       5 8     4   2 6     2 3 6 2       4 8
+--R                    (2a d  + 4a b c d  - 4a b c d  - 2a b c )
+--R                 *
+--R                    ROOT
+--R                            2   6       2 2 4     3 4 2
+--R                         - a b d  + 6a b c d  - 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  + 24a b c  d  + 4a b c
+--R                + 
+--R                      2     4       2 3 2
+--R                  - 2a b c d  + 6a b c d
+--R             *
+--R                ROOT
+--R                            4 6     3   2 4     2 2 4 2       3 6
+--R                         (2a d  + 6a b c d  + 6a b c d  + 2a b c )
+--R                      *
+--R                         ROOT
+--R                                 2   6       2 2 4     3 4 2
+--R                              - a b d  + 6a b c d  - 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  + 24a b c  d  + 4a b c
+--R                     + 
+--R                               2    2 3
+--R                       3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  + 3a b c d  + 3a b c d  + a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  - 3b c d)\|d x + c
+--R     + 
+--R             2      2  +-------+
+--R         (a d  + b c )\|d x + c
+--R      *
+--R         ROOT
+--R                       4 6     3   2 4     2 2 4 2       3 6
+--R                  (- 2a d  - 6a b c d  - 6a b c d  - 2a b c )
+--R               *
+--R                  ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                       - a b d  + 6a b c d  - 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  + 24a b c  d  + 4a b c
+--R              + 
+--R                        2    2 3
+--R                3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  + 3a b c d  + 3a b c d  + a b c
+--R      *
+--R         log
+--R                       5 8     4   2 6     2 3 6 2       4 8
+--R                    (2a d  + 4a b c d  - 4a b c d  - 2a b c )
+--R                 *
+--R                    ROOT
+--R                            2   6       2 2 4     3 4 2
+--R                         - a b d  + 6a b c d  - 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  + 24a b c  d  + 4a b c
+--R                + 
+--R                    2     4       2 3 2
+--R                  2a b c d  - 6a b c d
+--R             *
+--R                ROOT
+--R                              4 6     3   2 4     2 2 4 2       3 6
+--R                         (- 2a d  - 6a b c d  - 6a b c d  - 2a b c )
+--R                      *
+--R                         ROOT
+--R                                 2   6       2 2 4     3 4 2
+--R                              - a b d  + 6a b c d  - 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  + 24a b c  d  + 4a b c
+--R                     + 
+--R                               2    2 3
+--R                       3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  + 3a b c d  + 3a b c d  + a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  - 3b c d)\|d x + c
+--R     + 
+--R               2      2  +-------+
+--R         (- a d  - b c )\|d x + c
+--R      *
+--R         ROOT
+--R                       4 6     3   2 4     2 2 4 2       3 6
+--R                  (- 2a d  - 6a b c d  - 6a b c d  - 2a b c )
+--R               *
+--R                  ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                       - a b d  + 6a b c d  - 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  + 24a b c  d  + 4a b c
+--R              + 
+--R                        2    2 3
+--R                3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  + 3a b c d  + 3a b c d  + a b c
+--R      *
+--R         log
+--R                         5 8     4   2 6     2 3 6 2       4 8
+--R                    (- 2a d  - 4a b c d  + 4a b c d  + 2a b c )
+--R                 *
+--R                    ROOT
+--R                            2   6       2 2 4     3 4 2
+--R                         - a b d  + 6a b c d  - 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  + 24a b c  d  + 4a b c
+--R                + 
+--R                      2     4       2 3 2
+--R                  - 2a b c d  + 6a b c d
+--R             *
+--R                ROOT
+--R                              4 6     3   2 4     2 2 4 2       3 6
+--R                         (- 2a d  - 6a b c d  - 6a b c d  - 2a b c )
+--R                      *
+--R                         ROOT
+--R                                 2   6       2 2 4     3 4 2
+--R                              - a b d  + 6a b c d  - 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  + 24a b c  d  + 4a b c
+--R                     + 
+--R                               2    2 3
+--R                       3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  + 3a b c d  + 3a b c d  + a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  - 3b c d)\|d x + c
+--R     + 
+--R             2      2  +-------+
+--R         (a d  + b c )\|d x + c
+--R      *
+--R         ROOT
+--R                     4 6     3   2 4     2 2 4 2       3 6
+--R                  (2a d  + 6a b c d  + 6a b c d  + 2a b c )
+--R               *
+--R                  ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                       - a b d  + 6a b c d  - 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  + 24a b c  d  + 4a b c
+--R              + 
+--R                        2    2 3
+--R                3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  + 3a b c d  + 3a b c d  + a b c
+--R      *
+--R         log
+--R                         5 8     4   2 6     2 3 6 2       4 8
+--R                    (- 2a d  - 4a b c d  + 4a b c d  + 2a b c )
+--R                 *
+--R                    ROOT
+--R                            2   6       2 2 4     3 4 2
+--R                         - a b d  + 6a b c d  - 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  + 24a b c  d  + 4a b c
+--R                + 
+--R                    2     4       2 3 2
+--R                  2a b c d  - 6a b c d
+--R             *
+--R                ROOT
+--R                            4 6     3   2 4     2 2 4 2       3 6
+--R                         (2a d  + 6a b c d  + 6a b c d  + 2a b c )
+--R                      *
+--R                         ROOT
+--R                                 2   6       2 2 4     3 4 2
+--R                              - a b d  + 6a b c d  - 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  + 24a b c  d  + 4a b c
+--R                     + 
+--R                               2    2 3
+--R                       3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  + 3a b c d  + 3a b c d  + a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  - 3b c d)\|d x + c
+--R     + 
+--R       - 4d
+--R  /
+--R          2       2  +-------+
+--R     (2a d  + 2b c )\|d x + c
+--R                                         Type: Union(Expression(Integer),...)
+--E 348
+
+--S 349 of 512
+m0169:= a0169-r0169
+--R 
+--R
+--R   (226)
+--R                                 +-------------------+
+--R               2      2  +-+ +-+ |    +---+ +-+
+--R         (- a d  - b c )\|a \|b \|- d\|- b \|a  + b c
+--R      *
+--R         ROOT
+--R                     4 6     3   2 4     2 2 4 2       3 6
+--R                  (2a d  + 6a b c d  + 6a b c d  + 2a b c )
+--R               *
+--R                  ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                       - a b d  + 6a b c d  - 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  + 24a b c  d  + 4a b c
+--R              + 
+--R                        2    2 3
+--R                3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  + 3a b c d  + 3a b c d  + a b c
+--R      *
+--R          +-----------------+
+--R          |  +---+ +-+
+--R         \|d\|- b \|a  + b c
+--R      *
+--R         log
+--R                       5 8     4   2 6     2 3 6 2       4 8
+--R                    (2a d  + 4a b c d  - 4a b c d  - 2a b c )
+--R                 *
+--R                    ROOT
+--R                            2   6       2 2 4     3 4 2
+--R                         - a b d  + 6a b c d  - 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  + 24a b c  d  + 4a b c
+--R                + 
+--R                      2     4       2 3 2
+--R                  - 2a b c d  + 6a b c d
+--R             *
+--R                ROOT
+--R                            4 6     3   2 4     2 2 4 2       3 6
+--R                         (2a d  + 6a b c d  + 6a b c d  + 2a b c )
+--R                      *
+--R                         ROOT
+--R                                 2   6       2 2 4     3 4 2
+--R                              - a b d  + 6a b c d  - 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  + 24a b c  d  + 4a b c
+--R                     + 
+--R                               2    2 3
+--R                       3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  + 3a b c d  + 3a b c d  + a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  - 3b c d)\|d x + c
+--R     + 
+--R                               +-------------------+
+--R             2      2  +-+ +-+ |    +---+ +-+
+--R         (a d  + b c )\|a \|b \|- d\|- b \|a  + b c
+--R      *
+--R         ROOT
+--R                       4 6     3   2 4     2 2 4 2       3 6
+--R                  (- 2a d  - 6a b c d  - 6a b c d  - 2a b c )
+--R               *
+--R                  ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                       - a b d  + 6a b c d  - 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  + 24a b c  d  + 4a b c
+--R              + 
+--R                        2    2 3
+--R                3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  + 3a b c d  + 3a b c d  + a b c
+--R      *
+--R          +-----------------+
+--R          |  +---+ +-+
+--R         \|d\|- b \|a  + b c
+--R      *
+--R         log
+--R                       5 8     4   2 6     2 3 6 2       4 8
+--R                    (2a d  + 4a b c d  - 4a b c d  - 2a b c )
+--R                 *
+--R                    ROOT
+--R                            2   6       2 2 4     3 4 2
+--R                         - a b d  + 6a b c d  - 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  + 24a b c  d  + 4a b c
+--R                + 
+--R                    2     4       2 3 2
+--R                  2a b c d  - 6a b c d
+--R             *
+--R                ROOT
+--R                              4 6     3   2 4     2 2 4 2       3 6
+--R                         (- 2a d  - 6a b c d  - 6a b c d  - 2a b c )
+--R                      *
+--R                         ROOT
+--R                                 2   6       2 2 4     3 4 2
+--R                              - a b d  + 6a b c d  - 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  + 24a b c  d  + 4a b c
+--R                     + 
+--R                               2    2 3
+--R                       3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  + 3a b c d  + 3a b c d  + a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  - 3b c d)\|d x + c
+--R     + 
+--R                                 +-------------------+
+--R               2      2  +-+ +-+ |    +---+ +-+
+--R         (- a d  - b c )\|a \|b \|- d\|- b \|a  + b c
+--R      *
+--R         ROOT
+--R                       4 6     3   2 4     2 2 4 2       3 6
+--R                  (- 2a d  - 6a b c d  - 6a b c d  - 2a b c )
+--R               *
+--R                  ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                       - a b d  + 6a b c d  - 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  + 24a b c  d  + 4a b c
+--R              + 
+--R                        2    2 3
+--R                3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  + 3a b c d  + 3a b c d  + a b c
+--R      *
+--R          +-----------------+
+--R          |  +---+ +-+
+--R         \|d\|- b \|a  + b c
+--R      *
+--R         log
+--R                         5 8     4   2 6     2 3 6 2       4 8
+--R                    (- 2a d  - 4a b c d  + 4a b c d  + 2a b c )
+--R                 *
+--R                    ROOT
+--R                            2   6       2 2 4     3 4 2
+--R                         - a b d  + 6a b c d  - 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  + 24a b c  d  + 4a b c
+--R                + 
+--R                      2     4       2 3 2
+--R                  - 2a b c d  + 6a b c d
+--R             *
+--R                ROOT
+--R                              4 6     3   2 4     2 2 4 2       3 6
+--R                         (- 2a d  - 6a b c d  - 6a b c d  - 2a b c )
+--R                      *
+--R                         ROOT
+--R                                 2   6       2 2 4     3 4 2
+--R                              - a b d  + 6a b c d  - 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  + 24a b c  d  + 4a b c
+--R                     + 
+--R                               2    2 3
+--R                       3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  + 3a b c d  + 3a b c d  + a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  - 3b c d)\|d x + c
+--R     + 
+--R                               +-------------------+
+--R             2      2  +-+ +-+ |    +---+ +-+
+--R         (a d  + b c )\|a \|b \|- d\|- b \|a  + b c
+--R      *
+--R         ROOT
+--R                     4 6     3   2 4     2 2 4 2       3 6
+--R                  (2a d  + 6a b c d  + 6a b c d  + 2a b c )
+--R               *
+--R                  ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                       - a b d  + 6a b c d  - 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  + 24a b c  d  + 4a b c
+--R              + 
+--R                        2    2 3
+--R                3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  + 3a b c d  + 3a b c d  + a b c
+--R      *
+--R          +-----------------+
+--R          |  +---+ +-+
+--R         \|d\|- b \|a  + b c
+--R      *
+--R         log
+--R                         5 8     4   2 6     2 3 6 2       4 8
+--R                    (- 2a d  - 4a b c d  + 4a b c d  + 2a b c )
+--R                 *
+--R                    ROOT
+--R                            2   6       2 2 4     3 4 2
+--R                         - a b d  + 6a b c d  - 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  + 24a b c  d  + 4a b c
+--R                + 
+--R                    2     4       2 3 2
+--R                  2a b c d  - 6a b c d
+--R             *
+--R                ROOT
+--R                            4 6     3   2 4     2 2 4 2       3 6
+--R                         (2a d  + 6a b c d  + 6a b c d  + 2a b c )
+--R                      *
+--R                         ROOT
+--R                                 2   6       2 2 4     3 4 2
+--R                              - a b d  + 6a b c d  - 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   + 24a b c d   + 60a b c d  + 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  + 24a b c  d  + 4a b c
+--R                     + 
+--R                               2    2 3
+--R                       3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  + 3a b c d  + 3a b c d  + a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  - 3b c d)\|d x + c
+--R     + 
+--R                                   +-----------------+
+--R                 +-+        +---+  |  +---+ +-+
+--R         (- 2b d\|a  + 2b c\|- b )\|d\|- b \|a  + b c
+--R      *
+--R                    +-+ +-------+
+--R                   \|b \|d x + c
+--R         atanh(----------------------)
+--R                +-------------------+
+--R                |    +---+ +-+
+--R               \|- d\|- b \|a  + b c
+--R     + 
+--R                               +-------------------+          +-+ +-------+
+--R             +-+        +---+  |    +---+ +-+                \|b \|d x + c
+--R     (- 2b d\|a  - 2b c\|- b )\|- d\|- b \|a  + b c atanh(--------------------)
+--R                                                           +-----------------+
+--R                                                           |  +---+ +-+
+--R                                                          \|d\|- b \|a  + b c
+--R  /
+--R                             +-------------------+ +-----------------+
+--R          2       2  +-+ +-+ |    +---+ +-+        |  +---+ +-+
+--R     (2a d  + 2b c )\|a \|b \|- d\|- b \|a  + b c \|d\|- b \|a  + b c
+--R                                                    Type: Expression(Integer)
+--E 349
+
+--S 350 of 512
+d0169:= D(m0169,x)
+--R 
+--R
+--R   (227)  0
+--R                                                    Type: Expression(Integer)
+--E 350
+
+--S 351 of 512
+t0170:= 1/(c+d*x)^(3/2)/(a-b*x^2)
+--R 
+--R
+--R                                1
+--R   (228)  - -----------------------------------------
+--R                  3        2                +-------+
+--R            (b d x  + b c x  - a d x - a c)\|d x + c
+--R                                                    Type: Expression(Integer)
+--E 351
+
+--S 352 of 512
+r0170:= 2*d/(b*c^2-a*d^2)/(c+d*x)^(1/2)-b^(1/2)*(b^(1/2)*c/a^(1/2)+d)*_
+        atanh(b^(1/2)*(c+d*x)^(1/2)/(b*c-a^(1/2)*b^(1/2)*d)^(1/2))/_
+        (b*c-a^(1/2)*b^(1/2)*d)^(1/2)/(b*c^2-a*d^2)+b^(1/2)*(b^(1/2)*c/_
+        a^(1/2)-d)*atanh(b^(1/2)*(c+d*x)^(1/2)/_
+        (b*c+a^(1/2)*b^(1/2)*d)^(1/2))/(b*c+a^(1/2)*b^(1/2)*d)^(1/2)/_
+        (b*c^2-a*d^2)
+--R 
+--R
+--R   (229)
+--R                                   +---------------+          +-+ +-------+
+--R          +-+ +-+        +-------+ |  +-+ +-+                \|b \|d x + c
+--R       (d\|a \|b  + b c)\|d x + c \|d\|a \|b  + b c atanh(--------------------)
+--R                                                           +-----------------+
+--R                                                           |    +-+ +-+
+--R                                                          \|- d\|a \|b  + b c
+--R     + 
+--R                                   +-----------------+         +-+ +-------+
+--R          +-+ +-+        +-------+ |    +-+ +-+               \|b \|d x + c
+--R       (d\|a \|b  - b c)\|d x + c \|- d\|a \|b  + b c atanh(------------------)
+--R                                                             +---------------+
+--R                                                             |  +-+ +-+
+--R                                                            \|d\|a \|b  + b c
+--R     + 
+--R                +-----------------+ +---------------+
+--R            +-+ |    +-+ +-+        |  +-+ +-+
+--R       - 2d\|a \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R  /
+--R                                 +-----------------+ +---------------+
+--R         2      2  +-+ +-------+ |    +-+ +-+        |  +-+ +-+
+--R     (a d  - b c )\|a \|d x + c \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R                                                    Type: Expression(Integer)
+--E 352
+
+--S 353 of 512
+a0170:= integrate(t0170,x)
+--R 
+--R
+--R   (230)
+--R             2      2  +-------+
+--R         (a d  - b c )\|d x + c
+--R      *
+--R         ROOT
+--R                     4 6     3   2 4     2 2 4 2       3 6
+--R                  (2a d  - 6a b c d  + 6a b c d  - 2a b c )
+--R               *
+--R                  ROOT
+--R                        2   6       2 2 4     3 4 2
+--R                       a b d  + 6a b c d  + 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  - 24a b c  d  + 4a b c
+--R              + 
+--R                          2    2 3
+--R                - 3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  - 3a b c d  + 3a b c d  - a b c
+--R      *
+--R         log
+--R                       5 8     4   2 6     2 3 6 2       4 8
+--R                    (2a d  - 4a b c d  + 4a b c d  - 2a b c )
+--R                 *
+--R                    ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                         a b d  + 6a b c d  + 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  - 24a b c  d  + 4a b c
+--R                + 
+--R                    2     4       2 3 2
+--R                  2a b c d  + 6a b c d
+--R             *
+--R                ROOT
+--R                            4 6     3   2 4     2 2 4 2       3 6
+--R                         (2a d  - 6a b c d  + 6a b c d  - 2a b c )
+--R                      *
+--R                         ROOT
+--R                               2   6       2 2 4     3 4 2
+--R                              a b d  + 6a b c d  + 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  - 24a b c  d  + 4a b c
+--R                     + 
+--R                                 2    2 3
+--R                       - 3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  - 3a b c d  + 3a b c d  - a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  + 3b c d)\|d x + c
+--R     + 
+--R               2      2  +-------+
+--R         (- a d  + b c )\|d x + c
+--R      *
+--R         ROOT
+--R                       4 6     3   2 4     2 2 4 2       3 6
+--R                  (- 2a d  + 6a b c d  - 6a b c d  + 2a b c )
+--R               *
+--R                  ROOT
+--R                        2   6       2 2 4     3 4 2
+--R                       a b d  + 6a b c d  + 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  - 24a b c  d  + 4a b c
+--R              + 
+--R                          2    2 3
+--R                - 3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  - 3a b c d  + 3a b c d  - a b c
+--R      *
+--R         log
+--R                       5 8     4   2 6     2 3 6 2       4 8
+--R                    (2a d  - 4a b c d  + 4a b c d  - 2a b c )
+--R                 *
+--R                    ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                         a b d  + 6a b c d  + 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  - 24a b c  d  + 4a b c
+--R                + 
+--R                      2     4       2 3 2
+--R                  - 2a b c d  - 6a b c d
+--R             *
+--R                ROOT
+--R                              4 6     3   2 4     2 2 4 2       3 6
+--R                         (- 2a d  + 6a b c d  - 6a b c d  + 2a b c )
+--R                      *
+--R                         ROOT
+--R                               2   6       2 2 4     3 4 2
+--R                              a b d  + 6a b c d  + 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  - 24a b c  d  + 4a b c
+--R                     + 
+--R                                 2    2 3
+--R                       - 3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  - 3a b c d  + 3a b c d  - a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  + 3b c d)\|d x + c
+--R     + 
+--R             2      2  +-------+
+--R         (a d  - b c )\|d x + c
+--R      *
+--R         ROOT
+--R                       4 6     3   2 4     2 2 4 2       3 6
+--R                  (- 2a d  + 6a b c d  - 6a b c d  + 2a b c )
+--R               *
+--R                  ROOT
+--R                        2   6       2 2 4     3 4 2
+--R                       a b d  + 6a b c d  + 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  - 24a b c  d  + 4a b c
+--R              + 
+--R                          2    2 3
+--R                - 3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  - 3a b c d  + 3a b c d  - a b c
+--R      *
+--R         log
+--R                         5 8     4   2 6     2 3 6 2       4 8
+--R                    (- 2a d  + 4a b c d  - 4a b c d  + 2a b c )
+--R                 *
+--R                    ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                         a b d  + 6a b c d  + 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  - 24a b c  d  + 4a b c
+--R                + 
+--R                    2     4       2 3 2
+--R                  2a b c d  + 6a b c d
+--R             *
+--R                ROOT
+--R                              4 6     3   2 4     2 2 4 2       3 6
+--R                         (- 2a d  + 6a b c d  - 6a b c d  + 2a b c )
+--R                      *
+--R                         ROOT
+--R                               2   6       2 2 4     3 4 2
+--R                              a b d  + 6a b c d  + 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  - 24a b c  d  + 4a b c
+--R                     + 
+--R                                 2    2 3
+--R                       - 3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  - 3a b c d  + 3a b c d  - a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  + 3b c d)\|d x + c
+--R     + 
+--R               2      2  +-------+
+--R         (- a d  + b c )\|d x + c
+--R      *
+--R         ROOT
+--R                     4 6     3   2 4     2 2 4 2       3 6
+--R                  (2a d  - 6a b c d  + 6a b c d  - 2a b c )
+--R               *
+--R                  ROOT
+--R                        2   6       2 2 4     3 4 2
+--R                       a b d  + 6a b c d  + 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  - 24a b c  d  + 4a b c
+--R              + 
+--R                          2    2 3
+--R                - 3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  - 3a b c d  + 3a b c d  - a b c
+--R      *
+--R         log
+--R                         5 8     4   2 6     2 3 6 2       4 8
+--R                    (- 2a d  + 4a b c d  - 4a b c d  + 2a b c )
+--R                 *
+--R                    ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                         a b d  + 6a b c d  + 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  - 24a b c  d  + 4a b c
+--R                + 
+--R                      2     4       2 3 2
+--R                  - 2a b c d  - 6a b c d
+--R             *
+--R                ROOT
+--R                            4 6     3   2 4     2 2 4 2       3 6
+--R                         (2a d  - 6a b c d  + 6a b c d  - 2a b c )
+--R                      *
+--R                         ROOT
+--R                               2   6       2 2 4     3 4 2
+--R                              a b d  + 6a b c d  + 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  - 24a b c  d  + 4a b c
+--R                     + 
+--R                                 2    2 3
+--R                       - 3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  - 3a b c d  + 3a b c d  - a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  + 3b c d)\|d x + c
+--R     + 
+--R       - 4d
+--R  /
+--R          2       2  +-------+
+--R     (2a d  - 2b c )\|d x + c
+--R                                         Type: Union(Expression(Integer),...)
+--E 353
+
+--S 354 of 512
+m0170:= a0170-r0170
+--R 
+--R
+--R   (231)
+--R                           +-----------------+
+--R             2      2  +-+ |    +-+ +-+
+--R         (a d  - b c )\|a \|- d\|a \|b  + b c
+--R      *
+--R         ROOT
+--R                     4 6     3   2 4     2 2 4 2       3 6
+--R                  (2a d  - 6a b c d  + 6a b c d  - 2a b c )
+--R               *
+--R                  ROOT
+--R                        2   6       2 2 4     3 4 2
+--R                       a b d  + 6a b c d  + 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  - 24a b c  d  + 4a b c
+--R              + 
+--R                          2    2 3
+--R                - 3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  - 3a b c d  + 3a b c d  - a b c
+--R      *
+--R          +---------------+
+--R          |  +-+ +-+
+--R         \|d\|a \|b  + b c
+--R      *
+--R         log
+--R                       5 8     4   2 6     2 3 6 2       4 8
+--R                    (2a d  - 4a b c d  + 4a b c d  - 2a b c )
+--R                 *
+--R                    ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                         a b d  + 6a b c d  + 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  - 24a b c  d  + 4a b c
+--R                + 
+--R                    2     4       2 3 2
+--R                  2a b c d  + 6a b c d
+--R             *
+--R                ROOT
+--R                            4 6     3   2 4     2 2 4 2       3 6
+--R                         (2a d  - 6a b c d  + 6a b c d  - 2a b c )
+--R                      *
+--R                         ROOT
+--R                               2   6       2 2 4     3 4 2
+--R                              a b d  + 6a b c d  + 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  - 24a b c  d  + 4a b c
+--R                     + 
+--R                                 2    2 3
+--R                       - 3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  - 3a b c d  + 3a b c d  - a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  + 3b c d)\|d x + c
+--R     + 
+--R                             +-----------------+
+--R               2      2  +-+ |    +-+ +-+
+--R         (- a d  + b c )\|a \|- d\|a \|b  + b c
+--R      *
+--R         ROOT
+--R                       4 6     3   2 4     2 2 4 2       3 6
+--R                  (- 2a d  + 6a b c d  - 6a b c d  + 2a b c )
+--R               *
+--R                  ROOT
+--R                        2   6       2 2 4     3 4 2
+--R                       a b d  + 6a b c d  + 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  - 24a b c  d  + 4a b c
+--R              + 
+--R                          2    2 3
+--R                - 3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  - 3a b c d  + 3a b c d  - a b c
+--R      *
+--R          +---------------+
+--R          |  +-+ +-+
+--R         \|d\|a \|b  + b c
+--R      *
+--R         log
+--R                       5 8     4   2 6     2 3 6 2       4 8
+--R                    (2a d  - 4a b c d  + 4a b c d  - 2a b c )
+--R                 *
+--R                    ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                         a b d  + 6a b c d  + 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  - 24a b c  d  + 4a b c
+--R                + 
+--R                      2     4       2 3 2
+--R                  - 2a b c d  - 6a b c d
+--R             *
+--R                ROOT
+--R                              4 6     3   2 4     2 2 4 2       3 6
+--R                         (- 2a d  + 6a b c d  - 6a b c d  + 2a b c )
+--R                      *
+--R                         ROOT
+--R                               2   6       2 2 4     3 4 2
+--R                              a b d  + 6a b c d  + 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  - 24a b c  d  + 4a b c
+--R                     + 
+--R                                 2    2 3
+--R                       - 3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  - 3a b c d  + 3a b c d  - a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  + 3b c d)\|d x + c
+--R     + 
+--R                           +-----------------+
+--R             2      2  +-+ |    +-+ +-+
+--R         (a d  - b c )\|a \|- d\|a \|b  + b c
+--R      *
+--R         ROOT
+--R                       4 6     3   2 4     2 2 4 2       3 6
+--R                  (- 2a d  + 6a b c d  - 6a b c d  + 2a b c )
+--R               *
+--R                  ROOT
+--R                        2   6       2 2 4     3 4 2
+--R                       a b d  + 6a b c d  + 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  - 24a b c  d  + 4a b c
+--R              + 
+--R                          2    2 3
+--R                - 3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  - 3a b c d  + 3a b c d  - a b c
+--R      *
+--R          +---------------+
+--R          |  +-+ +-+
+--R         \|d\|a \|b  + b c
+--R      *
+--R         log
+--R                         5 8     4   2 6     2 3 6 2       4 8
+--R                    (- 2a d  + 4a b c d  - 4a b c d  + 2a b c )
+--R                 *
+--R                    ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                         a b d  + 6a b c d  + 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  - 24a b c  d  + 4a b c
+--R                + 
+--R                    2     4       2 3 2
+--R                  2a b c d  + 6a b c d
+--R             *
+--R                ROOT
+--R                              4 6     3   2 4     2 2 4 2       3 6
+--R                         (- 2a d  + 6a b c d  - 6a b c d  + 2a b c )
+--R                      *
+--R                         ROOT
+--R                               2   6       2 2 4     3 4 2
+--R                              a b d  + 6a b c d  + 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  - 24a b c  d  + 4a b c
+--R                     + 
+--R                                 2    2 3
+--R                       - 3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  - 3a b c d  + 3a b c d  - a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  + 3b c d)\|d x + c
+--R     + 
+--R                             +-----------------+
+--R               2      2  +-+ |    +-+ +-+
+--R         (- a d  + b c )\|a \|- d\|a \|b  + b c
+--R      *
+--R         ROOT
+--R                     4 6     3   2 4     2 2 4 2       3 6
+--R                  (2a d  - 6a b c d  + 6a b c d  - 2a b c )
+--R               *
+--R                  ROOT
+--R                        2   6       2 2 4     3 4 2
+--R                       a b d  + 6a b c d  + 9b c d
+--R                    /
+--R                           7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                         4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                       + 
+--R                            3 4 8 4      2 5 10 2       6 12
+--R                         60a b c d  - 24a b c  d  + 4a b c
+--R              + 
+--R                          2    2 3
+--R                - 3a b c d  - b c
+--R           /
+--R               4 6     3   2 4     2 2 4 2      3 6
+--R              a d  - 3a b c d  + 3a b c d  - a b c
+--R      *
+--R          +---------------+
+--R          |  +-+ +-+
+--R         \|d\|a \|b  + b c
+--R      *
+--R         log
+--R                         5 8     4   2 6     2 3 6 2       4 8
+--R                    (- 2a d  + 4a b c d  - 4a b c d  + 2a b c )
+--R                 *
+--R                    ROOT
+--R                          2   6       2 2 4     3 4 2
+--R                         a b d  + 6a b c d  + 9b c d
+--R                      /
+--R                             7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                           4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                         + 
+--R                              3 4 8 4      2 5 10 2       6 12
+--R                           60a b c d  - 24a b c  d  + 4a b c
+--R                + 
+--R                      2     4       2 3 2
+--R                  - 2a b c d  - 6a b c d
+--R             *
+--R                ROOT
+--R                            4 6     3   2 4     2 2 4 2       3 6
+--R                         (2a d  - 6a b c d  + 6a b c d  - 2a b c )
+--R                      *
+--R                         ROOT
+--R                               2   6       2 2 4     3 4 2
+--R                              a b d  + 6a b c d  + 9b c d
+--R                           /
+--R                                  7 12      6   2 10      5 2 4 8      4 3 6 6
+--R                                4a d   - 24a b c d   + 60a b c d  - 80a b c d
+--R                              + 
+--R                                   3 4 8 4      2 5 10 2       6 12
+--R                                60a b c d  - 24a b c  d  + 4a b c
+--R                     + 
+--R                                 2    2 3
+--R                       - 3a b c d  - b c
+--R                  /
+--R                      4 6     3   2 4     2 2 4 2      3 6
+--R                     a d  - 3a b c d  + 3a b c d  - a b c
+--R            + 
+--R                    3     2 2   +-------+
+--R              (a b d  + 3b c d)\|d x + c
+--R     + 
+--R                             +---------------+          +-+ +-------+
+--R             +-+ +-+         |  +-+ +-+                \|b \|d x + c
+--R       (- 2d\|a \|b  - 2b c)\|d\|a \|b  + b c atanh(--------------------)
+--R                                                     +-----------------+
+--R                                                     |    +-+ +-+
+--R                                                    \|- d\|a \|b  + b c
+--R     + 
+--R                             +-----------------+         +-+ +-------+
+--R             +-+ +-+         |    +-+ +-+               \|b \|d x + c
+--R       (- 2d\|a \|b  + 2b c)\|- d\|a \|b  + b c atanh(------------------)
+--R                                                       +---------------+
+--R                                                       |  +-+ +-+
+--R                                                      \|d\|a \|b  + b c
+--R  /
+--R                         +-----------------+ +---------------+
+--R          2       2  +-+ |    +-+ +-+        |  +-+ +-+
+--R     (2a d  - 2b c )\|a \|- d\|a \|b  + b c \|d\|a \|b  + b c
+--R                                                    Type: Expression(Integer)
+--E 354
+
+--S 355 of 512
+d0170:= D(m0170,x)
+--R 
+--R
+--R   (232)  0
+--R                                                    Type: Expression(Integer)
+--E 355
+
+--S 356 of 512
+t0171:= (d+e*x)^(1/2)/(a+b*x+c*x^2)
+--R 
+--R
+--R             +-------+
+--R            \|e x + d
+--R   (233)  --------------
+--R             2
+--R          c x  + b x + a
+--R                                                    Type: Expression(Integer)
+--E 356
+
+--S 357 of 512
+r0171:= 2^(1/2)*(e-(2*c*d-b*e)/(b^2-4*a*c)^(1/2))*_
+        atan(2^(1/2)*c^(1/2)*(d+e*x)^(1/2)/(-2*c*d+_
+        (b+(b^2-4*a*c)^(1/2))*e)^(1/2))/c^(1/2)/_
+        (-2*c*d+(b+(b^2-4*a*c)^(1/2))*e)^(1/2)-2^(1/2)*_
+        (e+(2*c*d-b*e)/(b^2-4*a*c)^(1/2))*atanh(2^(1/2)*c^(1/2)*_
+        (d+e*x)^(1/2)/(2*c*d-(b-(b^2-4*a*c)^(1/2))*e)^(1/2))/_
+        c^(1/2)/(2*c*d-(b-(b^2-4*a*c)^(1/2))*e)^(1/2)
+--R 
+--R
+--R   (234)
+--R                  +-----------+
+--R              +-+ |          2                 +-+
+--R         (- e\|2 \|- 4a c + b   + (b e - 2c d)\|2 )
+--R      *
+--R          +----------------------------+
+--R          |  +-----------+                            +-+ +-+ +-------+
+--R          |  |          2                            \|2 \|c \|e x + d
+--R         \|e\|- 4a c + b   + b e - 2c d atanh(-------------------------------)
+--R                                               +----------------------------+
+--R                                               |  +-----------+
+--R                                               |  |          2
+--R                                              \|e\|- 4a c + b   - b e + 2c d
+--R     + 
+--R                                                  +----------------------------+
+--R                +-----------+                     |  +-----------+
+--R            +-+ |          2                 +-+  |  |          2
+--R         (e\|2 \|- 4a c + b   + (b e - 2c d)\|2 )\|e\|- 4a c + b   - b e + 2c d
+--R      *
+--R                      +-+ +-+ +-------+
+--R                     \|2 \|c \|e x + d
+--R         atan(-------------------------------)
+--R               +----------------------------+
+--R               |  +-----------+
+--R               |  |          2
+--R              \|e\|- 4a c + b   + b e - 2c d
+--R  /
+--R                          +----------------------------+
+--R        +-----------+     |  +-----------+
+--R        |          2  +-+ |  |          2
+--R       \|- 4a c + b  \|c \|e\|- 4a c + b   - b e + 2c d
+--R    *
+--R        +----------------------------+
+--R        |  +-----------+
+--R        |  |          2
+--R       \|e\|- 4a c + b   + b e - 2c d
+--R                                                    Type: Expression(Integer)
+--E 357
+
+--S 358 of 512
+a0171:= integrate(t0171,x)
+--R 
+--R
+--R   (235)
+--R          +---------------------------------------------+
+--R          |               +--------------+
+--R          |               |        2
+--R          |     2     2   |       e
+--R          |(8a c  - 2b c) |- ------------  + 2b e - 4c d
+--R          |               |      3    2 2
+--R          |              \|  4a c  - b c
+--R          |---------------------------------------------
+--R          |                     2    2
+--R         \|                 4a c  - b c
+--R      *
+--R         log
+--R                              +--------------+
+--R                              |        2
+--R                     2    2   |       e
+--R                (4a c  - b c) |- ------------
+--R                              |      3    2 2
+--R                             \|  4a c  - b c
+--R             *
+--R                 +---------------------------------------------+
+--R                 |               +--------------+
+--R                 |               |        2
+--R                 |     2     2   |       e
+--R                 |(8a c  - 2b c) |- ------------  + 2b e - 4c d
+--R                 |               |      3    2 2
+--R                 |              \|  4a c  - b c
+--R                 |---------------------------------------------
+--R                 |                     2    2
+--R                \|                 4a c  - b c
+--R            + 
+--R                 +-------+
+--R              2e\|e x + d
+--R     + 
+--R       -
+--R             +-----------------------------------------------+
+--R             |                 +--------------+
+--R             |                 |        2
+--R             |       2     2   |       e
+--R             |(- 8a c  + 2b c) |- ------------  + 2b e - 4c d
+--R             |                 |      3    2 2
+--R             |                \|  4a c  - b c
+--R             |-----------------------------------------------
+--R             |                      2    2
+--R            \|                  4a c  - b c
+--R         *
+--R            log
+--R                                 +--------------+
+--R                                 |        2
+--R                        2    2   |       e
+--R                   (4a c  - b c) |- ------------
+--R                                 |      3    2 2
+--R                                \|  4a c  - b c
+--R                *
+--R                    +-----------------------------------------------+
+--R                    |                 +--------------+
+--R                    |                 |        2
+--R                    |       2     2   |       e
+--R                    |(- 8a c  + 2b c) |- ------------  + 2b e - 4c d
+--R                    |                 |      3    2 2
+--R                    |                \|  4a c  - b c
+--R                    |-----------------------------------------------
+--R                    |                      2    2
+--R                   \|                  4a c  - b c
+--R               + 
+--R                    +-------+
+--R                 2e\|e x + d
+--R     + 
+--R          +-----------------------------------------------+
+--R          |                 +--------------+
+--R          |                 |        2
+--R          |       2     2   |       e
+--R          |(- 8a c  + 2b c) |- ------------  + 2b e - 4c d
+--R          |                 |      3    2 2
+--R          |                \|  4a c  - b c
+--R          |-----------------------------------------------
+--R          |                      2    2
+--R         \|                  4a c  - b c
+--R      *
+--R         log
+--R                                +--------------+
+--R                                |        2
+--R                       2    2   |       e
+--R                (- 4a c  + b c) |- ------------
+--R                                |      3    2 2
+--R                               \|  4a c  - b c
+--R             *
+--R                 +-----------------------------------------------+
+--R                 |                 +--------------+
+--R                 |                 |        2
+--R                 |       2     2   |       e
+--R                 |(- 8a c  + 2b c) |- ------------  + 2b e - 4c d
+--R                 |                 |      3    2 2
+--R                 |                \|  4a c  - b c
+--R                 |-----------------------------------------------
+--R                 |                      2    2
+--R                \|                  4a c  - b c
+--R            + 
+--R                 +-------+
+--R              2e\|e x + d
+--R     + 
+--R       -
+--R             +---------------------------------------------+
+--R             |               +--------------+
+--R             |               |        2
+--R             |     2     2   |       e
+--R             |(8a c  - 2b c) |- ------------  + 2b e - 4c d
+--R             |               |      3    2 2
+--R             |              \|  4a c  - b c
+--R             |---------------------------------------------
+--R             |                     2    2
+--R            \|                 4a c  - b c
+--R         *
+--R            log
+--R                                   +--------------+
+--R                                   |        2
+--R                          2    2   |       e
+--R                   (- 4a c  + b c) |- ------------
+--R                                   |      3    2 2
+--R                                  \|  4a c  - b c
+--R                *
+--R                    +---------------------------------------------+
+--R                    |               +--------------+
+--R                    |               |        2
+--R                    |     2     2   |       e
+--R                    |(8a c  - 2b c) |- ------------  + 2b e - 4c d
+--R                    |               |      3    2 2
+--R                    |              \|  4a c  - b c
+--R                    |---------------------------------------------
+--R                    |                     2    2
+--R                   \|                 4a c  - b c
+--R               + 
+--R                    +-------+
+--R                 2e\|e x + d
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 358
+
+--S 359 of 512
+m0171:= a0171-r0171
+--R 
+--R
+--R   (236)
+--R                            +---------------------------------------------+
+--R                            |               +--------------+
+--R                            |               |        2
+--R                            |     2     2   |       e
+--R                            |(8a c  - 2b c) |- ------------  + 2b e - 4c d
+--R          +-----------+     |               |      3    2 2
+--R          |          2  +-+ |              \|  4a c  - b c
+--R         \|- 4a c + b  \|c  |---------------------------------------------
+--R                            |                     2    2
+--R                           \|                 4a c  - b c
+--R      *
+--R          +----------------------------+ +----------------------------+
+--R          |  +-----------+               |  +-----------+
+--R          |  |          2                |  |          2
+--R         \|e\|- 4a c + b   - b e + 2c d \|e\|- 4a c + b   + b e - 2c d
+--R      *
+--R         log
+--R                              +--------------+
+--R                              |        2
+--R                     2    2   |       e
+--R                (4a c  - b c) |- ------------
+--R                              |      3    2 2
+--R                             \|  4a c  - b c
+--R             *
+--R                 +---------------------------------------------+
+--R                 |               +--------------+
+--R                 |               |        2
+--R                 |     2     2   |       e
+--R                 |(8a c  - 2b c) |- ------------  + 2b e - 4c d
+--R                 |               |      3    2 2
+--R                 |              \|  4a c  - b c
+--R                 |---------------------------------------------
+--R                 |                     2    2
+--R                \|                 4a c  - b c
+--R            + 
+--R                 +-------+
+--R              2e\|e x + d
+--R     + 
+--R       -
+--R                               +-----------------------------------------------+
+--R                               |                 +--------------+
+--R                               |                 |        2
+--R                               |       2     2   |       e
+--R                               |(- 8a c  + 2b c) |- ------------  + 2b e - 4c d
+--R             +-----------+     |                 |      3    2 2
+--R             |          2  +-+ |                \|  4a c  - b c
+--R            \|- 4a c + b  \|c  |-----------------------------------------------
+--R                               |                      2    2
+--R                              \|                  4a c  - b c
+--R         *
+--R             +----------------------------+ +----------------------------+
+--R             |  +-----------+               |  +-----------+
+--R             |  |          2                |  |          2
+--R            \|e\|- 4a c + b   - b e + 2c d \|e\|- 4a c + b   + b e - 2c d
+--R         *
+--R            log
+--R                                 +--------------+
+--R                                 |        2
+--R                        2    2   |       e
+--R                   (4a c  - b c) |- ------------
+--R                                 |      3    2 2
+--R                                \|  4a c  - b c
+--R                *
+--R                    +-----------------------------------------------+
+--R                    |                 +--------------+
+--R                    |                 |        2
+--R                    |       2     2   |       e
+--R                    |(- 8a c  + 2b c) |- ------------  + 2b e - 4c d
+--R                    |                 |      3    2 2
+--R                    |                \|  4a c  - b c
+--R                    |-----------------------------------------------
+--R                    |                      2    2
+--R                   \|                  4a c  - b c
+--R               + 
+--R                    +-------+
+--R                 2e\|e x + d
+--R     + 
+--R                            +-----------------------------------------------+
+--R                            |                 +--------------+
+--R                            |                 |        2
+--R                            |       2     2   |       e
+--R                            |(- 8a c  + 2b c) |- ------------  + 2b e - 4c d
+--R          +-----------+     |                 |      3    2 2
+--R          |          2  +-+ |                \|  4a c  - b c
+--R         \|- 4a c + b  \|c  |-----------------------------------------------
+--R                            |                      2    2
+--R                           \|                  4a c  - b c
+--R      *
+--R          +----------------------------+ +----------------------------+
+--R          |  +-----------+               |  +-----------+
+--R          |  |          2                |  |          2
+--R         \|e\|- 4a c + b   - b e + 2c d \|e\|- 4a c + b   + b e - 2c d
+--R      *
+--R         log
+--R                                +--------------+
+--R                                |        2
+--R                       2    2   |       e
+--R                (- 4a c  + b c) |- ------------
+--R                                |      3    2 2
+--R                               \|  4a c  - b c
+--R             *
+--R                 +-----------------------------------------------+
+--R                 |                 +--------------+
+--R                 |                 |        2
+--R                 |       2     2   |       e
+--R                 |(- 8a c  + 2b c) |- ------------  + 2b e - 4c d
+--R                 |                 |      3    2 2
+--R                 |                \|  4a c  - b c
+--R                 |-----------------------------------------------
+--R                 |                      2    2
+--R                \|                  4a c  - b c
+--R            + 
+--R                 +-------+
+--R              2e\|e x + d
+--R     + 
+--R       -
+--R                               +---------------------------------------------+
+--R                               |               +--------------+
+--R                               |               |        2
+--R                               |     2     2   |       e
+--R                               |(8a c  - 2b c) |- ------------  + 2b e - 4c d
+--R             +-----------+     |               |      3    2 2
+--R             |          2  +-+ |              \|  4a c  - b c
+--R            \|- 4a c + b  \|c  |---------------------------------------------
+--R                               |                     2    2
+--R                              \|                 4a c  - b c
+--R         *
+--R             +----------------------------+ +----------------------------+
+--R             |  +-----------+               |  +-----------+
+--R             |  |          2                |  |          2
+--R            \|e\|- 4a c + b   - b e + 2c d \|e\|- 4a c + b   + b e - 2c d
+--R         *
+--R            log
+--R                                   +--------------+
+--R                                   |        2
+--R                          2    2   |       e
+--R                   (- 4a c  + b c) |- ------------
+--R                                   |      3    2 2
+--R                                  \|  4a c  - b c
+--R                *
+--R                    +---------------------------------------------+
+--R                    |               +--------------+
+--R                    |               |        2
+--R                    |     2     2   |       e
+--R                    |(8a c  - 2b c) |- ------------  + 2b e - 4c d
+--R                    |               |      3    2 2
+--R                    |              \|  4a c  - b c
+--R                    |---------------------------------------------
+--R                    |                     2    2
+--R                   \|                 4a c  - b c
+--R               + 
+--R                    +-------+
+--R                 2e\|e x + d
+--R     + 
+--R                 +-----------+
+--R             +-+ |          2                    +-+
+--R         (2e\|2 \|- 4a c + b   + (- 2b e + 4c d)\|2 )
+--R      *
+--R          +----------------------------+
+--R          |  +-----------+                            +-+ +-+ +-------+
+--R          |  |          2                            \|2 \|c \|e x + d
+--R         \|e\|- 4a c + b   + b e - 2c d atanh(-------------------------------)
+--R                                               +----------------------------+
+--R                                               |  +-----------+
+--R                                               |  |          2
+--R                                              \|e\|- 4a c + b   - b e + 2c d
+--R     + 
+--R                   +-----------+
+--R               +-+ |          2                    +-+
+--R         (- 2e\|2 \|- 4a c + b   + (- 2b e + 4c d)\|2 )
+--R      *
+--R          +----------------------------+
+--R          |  +-----------+                           +-+ +-+ +-------+
+--R          |  |          2                           \|2 \|c \|e x + d
+--R         \|e\|- 4a c + b   - b e + 2c d atan(-------------------------------)
+--R                                              +----------------------------+
+--R                                              |  +-----------+
+--R                                              |  |          2
+--R                                             \|e\|- 4a c + b   + b e - 2c d
+--R  /
+--R                           +----------------------------+
+--R         +-----------+     |  +-----------+
+--R         |          2  +-+ |  |          2
+--R       2\|- 4a c + b  \|c \|e\|- 4a c + b   - b e + 2c d
+--R    *
+--R        +----------------------------+
+--R        |  +-----------+
+--R        |  |          2
+--R       \|e\|- 4a c + b   + b e - 2c d
+--R                                                    Type: Expression(Integer)
+--E 359
+
+--S 360 of 512
+d0171:= D(m0171,x)
+--R 
+--R
+--R   (237)  0
+--R                                                    Type: Expression(Integer)
+--E 360
+
+--S 361 of 512
+t0172:= 1/(d+e*x)^(3/2)/(a+b*x+c*x^2)
+--R 
+--R
+--R                                     1
+--R   (238)  -------------------------------------------------------
+--R                3               2                       +-------+
+--R          (c e x  + (b e + c d)x  + (a e + b d)x + a d)\|e x + d
+--R                                                    Type: Expression(Integer)
+--E 361
+
+--S 362 of 512
+r0172:= -2*e/(c*d^2-b*d*e+a*e^2)/(d+e*x)^(1/2)-2^(1/2)*c^(1/2)*_
+        (e+(2*c*d-b*e)/(b^2-4*a*c)^(1/2))*atan(2^(1/2)*c^(1/2)*_
+        (d+e*x)^(1/2)/(-2*c*d+(b+(b^2-4*a*c)^(1/2))*e)^(1/2))/_
+        (-2*c*d+(b+(b^2-4*a*c)^(1/2))*e)^(1/2)/(c*d^2-b*d*e+a*e^2)+_
+        2^(1/2)*c^(1/2)*(e-(2*c*d-b*e)/(b^2-4*a*c)^(1/2))*_
+        atanh(2^(1/2)*c^(1/2)*(d+e*x)^(1/2)/_
+        (2*c*d-(b-(b^2-4*a*c)^(1/2))*e)^(1/2))/_
+        (2*c*d-(b-(b^2-4*a*c)^(1/2))*e)^(1/2)/(c*d^2-b*d*e+a*e^2)
+--R 
+--R
+--R   (239)
+--R                +-----------+
+--R            +-+ |          2                 +-+  +-+ +-------+
+--R         (e\|2 \|- 4a c + b   + (b e - 2c d)\|2 )\|c \|e x + d
+--R      *
+--R          +----------------------------+
+--R          |  +-----------+                            +-+ +-+ +-------+
+--R          |  |          2                            \|2 \|c \|e x + d
+--R         \|e\|- 4a c + b   + b e - 2c d atanh(-------------------------------)
+--R                                               +----------------------------+
+--R                                               |  +-----------+
+--R                                               |  |          2
+--R                                              \|e\|- 4a c + b   - b e + 2c d
+--R     + 
+--R                  +-----------+
+--R              +-+ |          2                 +-+  +-+ +-------+
+--R         (- e\|2 \|- 4a c + b   + (b e - 2c d)\|2 )\|c \|e x + d
+--R      *
+--R          +----------------------------+
+--R          |  +-----------+                           +-+ +-+ +-------+
+--R          |  |          2                           \|2 \|c \|e x + d
+--R         \|e\|- 4a c + b   - b e + 2c d atan(-------------------------------)
+--R                                              +----------------------------+
+--R                                              |  +-----------+
+--R                                              |  |          2
+--R                                             \|e\|- 4a c + b   + b e - 2c d
+--R     + 
+--R       -
+--R                             +----------------------------+
+--R               +-----------+ |  +-----------+
+--R               |          2  |  |          2
+--R            2e\|- 4a c + b  \|e\|- 4a c + b   - b e + 2c d
+--R         *
+--R             +----------------------------+
+--R             |  +-----------+
+--R             |  |          2
+--R            \|e\|- 4a c + b   + b e - 2c d
+--R  /
+--R                             +-----------+
+--R           2              2  |          2  +-------+
+--R       (a e  - b d e + c d )\|- 4a c + b  \|e x + d
+--R    *
+--R        +----------------------------+ +----------------------------+
+--R        |  +-----------+               |  +-----------+
+--R        |  |          2                |  |          2
+--R       \|e\|- 4a c + b   - b e + 2c d \|e\|- 4a c + b   + b e - 2c d
+--R                                                    Type: Expression(Integer)
+--E 362
+
+--S 363 of 512
+a0172:= integrate(t0172,x)
+--R 
+--R
+--R   (240)
+--R               2              2  +-------+
+--R         (- a e  + b d e - c d )\|e x + d
+--R      *
+--R         ROOT
+--R                       4      3 2  6         3        2 3    5
+--R                    (8a c - 2a b )e  + (- 24a b c + 6a b )d e
+--R                  + 
+--R                        3 2      2 2        4  2 4
+--R                    (24a c  + 18a b c - 6a b )d e
+--R                  + 
+--R                          2   2       3      5  3 3
+--R                    (- 48a b c  + 4a b c + 2b )d e
+--R                  + 
+--R                        2 3        2 2     4   4 2             3     3 2  5
+--R                    (24a c  + 18a b c  - 6b c)d e  + (- 24a b c  + 6b c )d e
+--R                  + 
+--R                         4     2 3  6
+--R                    (8a c  - 2b c )d
+--R               *
+--R                  ROOT
+--R                             2 2       2     4  6            2     3     5
+--R                         (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                       + 
+--R                              3      2 2  2 4        3 3 3     4 4 2
+--R                         (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                    /
+--R                            7     6 2  12         6        5 3    11
+--R                         (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                       + 
+--R                             6 2      5 2       4 4  2 10
+--R                         (24a c  + 54a b c - 15a b )d e
+--R                       + 
+--R                                5   2      4 3       3 5  3 9
+--R                         (- 120a b c  - 50a b c + 20a b )d e
+--R                       + 
+--R                             5 3       4 2 2      2 6  4 8
+--R                         (60a c  + 225a b c  - 15a b )d e
+--R                       + 
+--R                                4   3       3 3 2      2 5        7  5 7
+--R                         (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                       + 
+--R                             4 4       3 2 3      2 4 2        6     8  6 6
+--R                         (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                       + 
+--R                                3   4       2 3 3        5 2     7   7 5
+--R                         (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                       + 
+--R                             3 5       2 2 4      6 2  8 4
+--R                         (60a c  + 225a b c  - 15b c )d e
+--R                       + 
+--R                                2   5        3 4      5 3  9 3
+--R                         (- 120a b c  - 50a b c  + 20b c )d e
+--R                       + 
+--R                             2 6        2 5      4 4  10 2
+--R                         (24a c  + 54a b c  - 15b c )d  e
+--R                       + 
+--R                                   6     3 5  11         7    2 6  12
+--R                         (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R              + 
+--R                              3  3         2     2     2       2 2      3 3
+--R                (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R           /
+--R                   4     3 2  6         3        2 3    5
+--R                (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R              + 
+--R                    3 2     2 2        4  2 4         2   2       3     5  3 3
+--R                (12a c  + 9a b c - 3a b )d e  + (- 24a b c  + 2a b c + b )d e
+--R              + 
+--R                    2 3       2 2     4   4 2             3     3 2  5
+--R                (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R              + 
+--R                     4    2 3  6
+--R                (4a c  - b c )d
+--R      *
+--R         log
+--R                         5 2     4 2     3 4  8
+--R                      (8a c  - 6a b c + a b )e
+--R                    + 
+--R                            4   2      3 3      2 5    7
+--R                      (- 16a b c  + 16a b c - 3a b )d e
+--R                    + 
+--R                          4 3      3 2 2     2 4        6  2 6
+--R                      (16a c  - 16a b c  - 9a b c + 3a b )d e
+--R                    + 
+--R                          2 3 2       5     7  3 5
+--R                      (40a b c  - 6a b c - b )d e
+--R                    + 
+--R                            2 2 3       4 2     6   4 4
+--R                      (- 60a b c  - 5a b c  + 5b c)d e
+--R                    + 
+--R                          2   4        3 3      5 2  5 3
+--R                      (48a b c  + 32a b c  - 11b c )d e
+--R                    + 
+--R                            2 5        2 4      4 3  6 2           5     3 4  7
+--R                      (- 16a c  - 48a b c  + 13b c )d e  + (32a b c  - 8b c )d e
+--R                    + 
+--R                             6     2 5  8
+--R                      (- 8a c  + 2b c )d
+--R                 *
+--R                    ROOT
+--R                               2 2       2     4  6            2     3     5
+--R                           (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                         + 
+--R                                3      2 2  2 4        3 3 3     4 4 2
+--R                           (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                      /
+--R                              7     6 2  12         6        5 3    11
+--R                           (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               6 2      5 2       4 4  2 10
+--R                           (24a c  + 54a b c - 15a b )d e
+--R                         + 
+--R                                  5   2      4 3       3 5  3 9
+--R                           (- 120a b c  - 50a b c + 20a b )d e
+--R                         + 
+--R                               5 3       4 2 2      2 6  4 8
+--R                           (60a c  + 225a b c  - 15a b )d e
+--R                         + 
+--R                                  4   3       3 3 2      2 5        7  5 7
+--R                           (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                         + 
+--R                               4 4       3 2 3      2 4 2        6     8  6 6
+--R                           (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                         + 
+--R                                  3   4       2 3 3        5 2     7   7 5
+--R                           (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                         + 
+--R                               3 5       2 2 4      6 2  8 4
+--R                           (60a c  + 225a b c  - 15b c )d e
+--R                         + 
+--R                                  2   5        3 4      5 3  9 3
+--R                           (- 120a b c  - 50a b c  + 20b c )d e
+--R                         + 
+--R                               2 6        2 5      4 4  10 2
+--R                           (24a c  + 54a b c  - 15b c )d  e
+--R                         + 
+--R                                     6     3 5  11         7    2 6  12
+--R                           (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                + 
+--R                     2   2       3     5  5        2 3        2 2     4     4
+--R                  (4a b c  - 5a b c + b )e  + (- 8a c  + 22a b c  - 5b c)d e
+--R                + 
+--R                            3     3 2  2 3         4     2 3  3 2
+--R                  (- 36a b c  + 9b c )d e  + (24a c  - 6b c )d e
+--R             *
+--R                ROOT
+--R                              4      3 2  6         3        2 3    5
+--R                           (8a c - 2a b )e  + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               3 2      2 2        4  2 4
+--R                           (24a c  + 18a b c - 6a b )d e
+--R                         + 
+--R                                 2   2       3      5  3 3
+--R                           (- 48a b c  + 4a b c + 2b )d e
+--R                         + 
+--R                               2 3        2 2     4   4 2
+--R                           (24a c  + 18a b c  - 6b c)d e
+--R                         + 
+--R                                     3     3 2  5         4     2 3  6
+--R                           (- 24a b c  + 6b c )d e + (8a c  - 2b c )d
+--R                      *
+--R                         ROOT
+--R                                    2 2       2     4  6
+--R                                (- a c  + 2a b c - b )e
+--R                              + 
+--R                                         2     3     5        3      2 2  2 4
+--R                                (- 6a b c  + 6b c)d e  + (6a c  - 15b c )d e
+--R                              + 
+--R                                     3 3 3     4 4 2
+--R                                18b c d e  - 9c d e
+--R                           /
+--R                                   7     6 2  12         6        5 3    11
+--R                                (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                              + 
+--R                                    6 2      5 2       4 4  2 10
+--R                                (24a c  + 54a b c - 15a b )d e
+--R                              + 
+--R                                       5   2      4 3       3 5  3 9
+--R                                (- 120a b c  - 50a b c + 20a b )d e
+--R                              + 
+--R                                    5 3       4 2 2      2 6  4 8
+--R                                (60a c  + 225a b c  - 15a b )d e
+--R                              + 
+--R                                       4   3       3 3 2      2 5        7  5 7
+--R                                (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                              + 
+--R                                      4 4       3 2 3      2 4 2        6     8
+--R                                  (80a c  + 340a b c  + 30a b c  - 26a b c - b )
+--R                               *
+--R                                   6 6
+--R                                  d e
+--R                              + 
+--R                                       3   4       2 3 3        5 2     7   7 5
+--R                                (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                              + 
+--R                                    3 5       2 2 4      6 2  8 4
+--R                                (60a c  + 225a b c  - 15b c )d e
+--R                              + 
+--R                                       2   5        3 4      5 3  9 3
+--R                                (- 120a b c  - 50a b c  + 20b c )d e
+--R                              + 
+--R                                    2 6        2 5      4 4  10 2
+--R                                (24a c  + 54a b c  - 15b c )d  e
+--R                              + 
+--R                                          6     3 5  11         7    2 6  12
+--R                                (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                     + 
+--R                                   3  3         2     2     2       2 2      3 3
+--R                     (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R                  /
+--R                          4     3 2  6         3        2 3    5
+--R                       (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R                     + 
+--R                           3 2     2 2        4  2 4
+--R                       (12a c  + 9a b c - 3a b )d e
+--R                     + 
+--R                             2   2       3     5  3 3
+--R                       (- 24a b c  + 2a b c + b )d e
+--R                     + 
+--R                           2 3       2 2     4   4 2             3     3 2  5
+--R                       (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R                     + 
+--R                            4    2 3  6
+--R                       (4a c  - b c )d
+--R            + 
+--R                    3     2 2  3        3   2      4 2   +-------+
+--R              ((4a c  - 4b c )e  + 12b c d e  - 12c d e)\|e x + d
+--R     + 
+--R             2              2  +-------+
+--R         (a e  - b d e + c d )\|e x + d
+--R      *
+--R         ROOT
+--R                         4      3 2  6       3        2 3    5
+--R                    (- 8a c + 2a b )e  + (24a b c - 6a b )d e
+--R                  + 
+--R                          3 2      2 2        4  2 4
+--R                    (- 24a c  - 18a b c + 6a b )d e
+--R                  + 
+--R                        2   2       3      5  3 3
+--R                    (48a b c  - 4a b c - 2b )d e
+--R                  + 
+--R                          2 3        2 2     4   4 2           3     3 2  5
+--R                    (- 24a c  - 18a b c  + 6b c)d e  + (24a b c  - 6b c )d e
+--R                  + 
+--R                           4     2 3  6
+--R                    (- 8a c  + 2b c )d
+--R               *
+--R                  ROOT
+--R                             2 2       2     4  6            2     3     5
+--R                         (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                       + 
+--R                              3      2 2  2 4        3 3 3     4 4 2
+--R                         (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                    /
+--R                            7     6 2  12         6        5 3    11
+--R                         (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                       + 
+--R                             6 2      5 2       4 4  2 10
+--R                         (24a c  + 54a b c - 15a b )d e
+--R                       + 
+--R                                5   2      4 3       3 5  3 9
+--R                         (- 120a b c  - 50a b c + 20a b )d e
+--R                       + 
+--R                             5 3       4 2 2      2 6  4 8
+--R                         (60a c  + 225a b c  - 15a b )d e
+--R                       + 
+--R                                4   3       3 3 2      2 5        7  5 7
+--R                         (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                       + 
+--R                             4 4       3 2 3      2 4 2        6     8  6 6
+--R                         (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                       + 
+--R                                3   4       2 3 3        5 2     7   7 5
+--R                         (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                       + 
+--R                             3 5       2 2 4      6 2  8 4
+--R                         (60a c  + 225a b c  - 15b c )d e
+--R                       + 
+--R                                2   5        3 4      5 3  9 3
+--R                         (- 120a b c  - 50a b c  + 20b c )d e
+--R                       + 
+--R                             2 6        2 5      4 4  10 2
+--R                         (24a c  + 54a b c  - 15b c )d  e
+--R                       + 
+--R                                   6     3 5  11         7    2 6  12
+--R                         (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R              + 
+--R                              3  3         2     2     2       2 2      3 3
+--R                (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R           /
+--R                   4     3 2  6         3        2 3    5
+--R                (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R              + 
+--R                    3 2     2 2        4  2 4         2   2       3     5  3 3
+--R                (12a c  + 9a b c - 3a b )d e  + (- 24a b c  + 2a b c + b )d e
+--R              + 
+--R                    2 3       2 2     4   4 2             3     3 2  5
+--R                (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R              + 
+--R                     4    2 3  6
+--R                (4a c  - b c )d
+--R      *
+--R         log
+--R                         5 2     4 2     3 4  8
+--R                      (8a c  - 6a b c + a b )e
+--R                    + 
+--R                            4   2      3 3      2 5    7
+--R                      (- 16a b c  + 16a b c - 3a b )d e
+--R                    + 
+--R                          4 3      3 2 2     2 4        6  2 6
+--R                      (16a c  - 16a b c  - 9a b c + 3a b )d e
+--R                    + 
+--R                          2 3 2       5     7  3 5
+--R                      (40a b c  - 6a b c - b )d e
+--R                    + 
+--R                            2 2 3       4 2     6   4 4
+--R                      (- 60a b c  - 5a b c  + 5b c)d e
+--R                    + 
+--R                          2   4        3 3      5 2  5 3
+--R                      (48a b c  + 32a b c  - 11b c )d e
+--R                    + 
+--R                            2 5        2 4      4 3  6 2           5     3 4  7
+--R                      (- 16a c  - 48a b c  + 13b c )d e  + (32a b c  - 8b c )d e
+--R                    + 
+--R                             6     2 5  8
+--R                      (- 8a c  + 2b c )d
+--R                 *
+--R                    ROOT
+--R                               2 2       2     4  6            2     3     5
+--R                           (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                         + 
+--R                                3      2 2  2 4        3 3 3     4 4 2
+--R                           (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                      /
+--R                              7     6 2  12         6        5 3    11
+--R                           (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               6 2      5 2       4 4  2 10
+--R                           (24a c  + 54a b c - 15a b )d e
+--R                         + 
+--R                                  5   2      4 3       3 5  3 9
+--R                           (- 120a b c  - 50a b c + 20a b )d e
+--R                         + 
+--R                               5 3       4 2 2      2 6  4 8
+--R                           (60a c  + 225a b c  - 15a b )d e
+--R                         + 
+--R                                  4   3       3 3 2      2 5        7  5 7
+--R                           (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                         + 
+--R                               4 4       3 2 3      2 4 2        6     8  6 6
+--R                           (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                         + 
+--R                                  3   4       2 3 3        5 2     7   7 5
+--R                           (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                         + 
+--R                               3 5       2 2 4      6 2  8 4
+--R                           (60a c  + 225a b c  - 15b c )d e
+--R                         + 
+--R                                  2   5        3 4      5 3  9 3
+--R                           (- 120a b c  - 50a b c  + 20b c )d e
+--R                         + 
+--R                               2 6        2 5      4 4  10 2
+--R                           (24a c  + 54a b c  - 15b c )d  e
+--R                         + 
+--R                                     6     3 5  11         7    2 6  12
+--R                           (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                + 
+--R                       2   2       3     5  5      2 3        2 2     4     4
+--R                  (- 4a b c  + 5a b c - b )e  + (8a c  - 22a b c  + 5b c)d e
+--R                + 
+--R                          3     3 2  2 3           4     2 3  3 2
+--R                  (36a b c  - 9b c )d e  + (- 24a c  + 6b c )d e
+--R             *
+--R                ROOT
+--R                                4      3 2  6       3        2 3    5
+--R                           (- 8a c + 2a b )e  + (24a b c - 6a b )d e
+--R                         + 
+--R                                 3 2      2 2        4  2 4
+--R                           (- 24a c  - 18a b c + 6a b )d e
+--R                         + 
+--R                               2   2       3      5  3 3
+--R                           (48a b c  - 4a b c - 2b )d e
+--R                         + 
+--R                                 2 3        2 2     4   4 2
+--R                           (- 24a c  - 18a b c  + 6b c)d e
+--R                         + 
+--R                                   3     3 2  5           4     2 3  6
+--R                           (24a b c  - 6b c )d e + (- 8a c  + 2b c )d
+--R                      *
+--R                         ROOT
+--R                                    2 2       2     4  6
+--R                                (- a c  + 2a b c - b )e
+--R                              + 
+--R                                         2     3     5        3      2 2  2 4
+--R                                (- 6a b c  + 6b c)d e  + (6a c  - 15b c )d e
+--R                              + 
+--R                                     3 3 3     4 4 2
+--R                                18b c d e  - 9c d e
+--R                           /
+--R                                   7     6 2  12         6        5 3    11
+--R                                (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                              + 
+--R                                    6 2      5 2       4 4  2 10
+--R                                (24a c  + 54a b c - 15a b )d e
+--R                              + 
+--R                                       5   2      4 3       3 5  3 9
+--R                                (- 120a b c  - 50a b c + 20a b )d e
+--R                              + 
+--R                                    5 3       4 2 2      2 6  4 8
+--R                                (60a c  + 225a b c  - 15a b )d e
+--R                              + 
+--R                                       4   3       3 3 2      2 5        7  5 7
+--R                                (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                              + 
+--R                                      4 4       3 2 3      2 4 2        6     8
+--R                                  (80a c  + 340a b c  + 30a b c  - 26a b c - b )
+--R                               *
+--R                                   6 6
+--R                                  d e
+--R                              + 
+--R                                       3   4       2 3 3        5 2     7   7 5
+--R                                (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                              + 
+--R                                    3 5       2 2 4      6 2  8 4
+--R                                (60a c  + 225a b c  - 15b c )d e
+--R                              + 
+--R                                       2   5        3 4      5 3  9 3
+--R                                (- 120a b c  - 50a b c  + 20b c )d e
+--R                              + 
+--R                                    2 6        2 5      4 4  10 2
+--R                                (24a c  + 54a b c  - 15b c )d  e
+--R                              + 
+--R                                          6     3 5  11         7    2 6  12
+--R                                (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                     + 
+--R                                   3  3         2     2     2       2 2      3 3
+--R                     (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R                  /
+--R                          4     3 2  6         3        2 3    5
+--R                       (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R                     + 
+--R                           3 2     2 2        4  2 4
+--R                       (12a c  + 9a b c - 3a b )d e
+--R                     + 
+--R                             2   2       3     5  3 3
+--R                       (- 24a b c  + 2a b c + b )d e
+--R                     + 
+--R                           2 3       2 2     4   4 2             3     3 2  5
+--R                       (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R                     + 
+--R                            4    2 3  6
+--R                       (4a c  - b c )d
+--R            + 
+--R                    3     2 2  3        3   2      4 2   +-------+
+--R              ((4a c  - 4b c )e  + 12b c d e  - 12c d e)\|e x + d
+--R     + 
+--R               2              2  +-------+
+--R         (- a e  + b d e - c d )\|e x + d
+--R      *
+--R         ROOT
+--R                         4      3 2  6       3        2 3    5
+--R                    (- 8a c + 2a b )e  + (24a b c - 6a b )d e
+--R                  + 
+--R                          3 2      2 2        4  2 4
+--R                    (- 24a c  - 18a b c + 6a b )d e
+--R                  + 
+--R                        2   2       3      5  3 3
+--R                    (48a b c  - 4a b c - 2b )d e
+--R                  + 
+--R                          2 3        2 2     4   4 2           3     3 2  5
+--R                    (- 24a c  - 18a b c  + 6b c)d e  + (24a b c  - 6b c )d e
+--R                  + 
+--R                           4     2 3  6
+--R                    (- 8a c  + 2b c )d
+--R               *
+--R                  ROOT
+--R                             2 2       2     4  6            2     3     5
+--R                         (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                       + 
+--R                              3      2 2  2 4        3 3 3     4 4 2
+--R                         (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                    /
+--R                            7     6 2  12         6        5 3    11
+--R                         (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                       + 
+--R                             6 2      5 2       4 4  2 10
+--R                         (24a c  + 54a b c - 15a b )d e
+--R                       + 
+--R                                5   2      4 3       3 5  3 9
+--R                         (- 120a b c  - 50a b c + 20a b )d e
+--R                       + 
+--R                             5 3       4 2 2      2 6  4 8
+--R                         (60a c  + 225a b c  - 15a b )d e
+--R                       + 
+--R                                4   3       3 3 2      2 5        7  5 7
+--R                         (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                       + 
+--R                             4 4       3 2 3      2 4 2        6     8  6 6
+--R                         (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                       + 
+--R                                3   4       2 3 3        5 2     7   7 5
+--R                         (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                       + 
+--R                             3 5       2 2 4      6 2  8 4
+--R                         (60a c  + 225a b c  - 15b c )d e
+--R                       + 
+--R                                2   5        3 4      5 3  9 3
+--R                         (- 120a b c  - 50a b c  + 20b c )d e
+--R                       + 
+--R                             2 6        2 5      4 4  10 2
+--R                         (24a c  + 54a b c  - 15b c )d  e
+--R                       + 
+--R                                   6     3 5  11         7    2 6  12
+--R                         (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R              + 
+--R                              3  3         2     2     2       2 2      3 3
+--R                (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R           /
+--R                   4     3 2  6         3        2 3    5
+--R                (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R              + 
+--R                    3 2     2 2        4  2 4         2   2       3     5  3 3
+--R                (12a c  + 9a b c - 3a b )d e  + (- 24a b c  + 2a b c + b )d e
+--R              + 
+--R                    2 3       2 2     4   4 2             3     3 2  5
+--R                (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R              + 
+--R                     4    2 3  6
+--R                (4a c  - b c )d
+--R      *
+--R         log
+--R                           5 2     4 2     3 4  8
+--R                      (- 8a c  + 6a b c - a b )e
+--R                    + 
+--R                          4   2      3 3      2 5    7
+--R                      (16a b c  - 16a b c + 3a b )d e
+--R                    + 
+--R                            4 3      3 2 2     2 4        6  2 6
+--R                      (- 16a c  + 16a b c  + 9a b c - 3a b )d e
+--R                    + 
+--R                            2 3 2       5     7  3 5
+--R                      (- 40a b c  + 6a b c + b )d e
+--R                    + 
+--R                          2 2 3       4 2     6   4 4
+--R                      (60a b c  + 5a b c  - 5b c)d e
+--R                    + 
+--R                            2   4        3 3      5 2  5 3
+--R                      (- 48a b c  - 32a b c  + 11b c )d e
+--R                    + 
+--R                          2 5        2 4      4 3  6 2             5     3 4  7
+--R                      (16a c  + 48a b c  - 13b c )d e  + (- 32a b c  + 8b c )d e
+--R                    + 
+--R                           6     2 5  8
+--R                      (8a c  - 2b c )d
+--R                 *
+--R                    ROOT
+--R                               2 2       2     4  6            2     3     5
+--R                           (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                         + 
+--R                                3      2 2  2 4        3 3 3     4 4 2
+--R                           (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                      /
+--R                              7     6 2  12         6        5 3    11
+--R                           (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               6 2      5 2       4 4  2 10
+--R                           (24a c  + 54a b c - 15a b )d e
+--R                         + 
+--R                                  5   2      4 3       3 5  3 9
+--R                           (- 120a b c  - 50a b c + 20a b )d e
+--R                         + 
+--R                               5 3       4 2 2      2 6  4 8
+--R                           (60a c  + 225a b c  - 15a b )d e
+--R                         + 
+--R                                  4   3       3 3 2      2 5        7  5 7
+--R                           (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                         + 
+--R                               4 4       3 2 3      2 4 2        6     8  6 6
+--R                           (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                         + 
+--R                                  3   4       2 3 3        5 2     7   7 5
+--R                           (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                         + 
+--R                               3 5       2 2 4      6 2  8 4
+--R                           (60a c  + 225a b c  - 15b c )d e
+--R                         + 
+--R                                  2   5        3 4      5 3  9 3
+--R                           (- 120a b c  - 50a b c  + 20b c )d e
+--R                         + 
+--R                               2 6        2 5      4 4  10 2
+--R                           (24a c  + 54a b c  - 15b c )d  e
+--R                         + 
+--R                                     6     3 5  11         7    2 6  12
+--R                           (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                + 
+--R                     2   2       3     5  5        2 3        2 2     4     4
+--R                  (4a b c  - 5a b c + b )e  + (- 8a c  + 22a b c  - 5b c)d e
+--R                + 
+--R                            3     3 2  2 3         4     2 3  3 2
+--R                  (- 36a b c  + 9b c )d e  + (24a c  - 6b c )d e
+--R             *
+--R                ROOT
+--R                                4      3 2  6       3        2 3    5
+--R                           (- 8a c + 2a b )e  + (24a b c - 6a b )d e
+--R                         + 
+--R                                 3 2      2 2        4  2 4
+--R                           (- 24a c  - 18a b c + 6a b )d e
+--R                         + 
+--R                               2   2       3      5  3 3
+--R                           (48a b c  - 4a b c - 2b )d e
+--R                         + 
+--R                                 2 3        2 2     4   4 2
+--R                           (- 24a c  - 18a b c  + 6b c)d e
+--R                         + 
+--R                                   3     3 2  5           4     2 3  6
+--R                           (24a b c  - 6b c )d e + (- 8a c  + 2b c )d
+--R                      *
+--R                         ROOT
+--R                                    2 2       2     4  6
+--R                                (- a c  + 2a b c - b )e
+--R                              + 
+--R                                         2     3     5        3      2 2  2 4
+--R                                (- 6a b c  + 6b c)d e  + (6a c  - 15b c )d e
+--R                              + 
+--R                                     3 3 3     4 4 2
+--R                                18b c d e  - 9c d e
+--R                           /
+--R                                   7     6 2  12         6        5 3    11
+--R                                (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                              + 
+--R                                    6 2      5 2       4 4  2 10
+--R                                (24a c  + 54a b c - 15a b )d e
+--R                              + 
+--R                                       5   2      4 3       3 5  3 9
+--R                                (- 120a b c  - 50a b c + 20a b )d e
+--R                              + 
+--R                                    5 3       4 2 2      2 6  4 8
+--R                                (60a c  + 225a b c  - 15a b )d e
+--R                              + 
+--R                                       4   3       3 3 2      2 5        7  5 7
+--R                                (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                              + 
+--R                                      4 4       3 2 3      2 4 2        6     8
+--R                                  (80a c  + 340a b c  + 30a b c  - 26a b c - b )
+--R                               *
+--R                                   6 6
+--R                                  d e
+--R                              + 
+--R                                       3   4       2 3 3        5 2     7   7 5
+--R                                (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                              + 
+--R                                    3 5       2 2 4      6 2  8 4
+--R                                (60a c  + 225a b c  - 15b c )d e
+--R                              + 
+--R                                       2   5        3 4      5 3  9 3
+--R                                (- 120a b c  - 50a b c  + 20b c )d e
+--R                              + 
+--R                                    2 6        2 5      4 4  10 2
+--R                                (24a c  + 54a b c  - 15b c )d  e
+--R                              + 
+--R                                          6     3 5  11         7    2 6  12
+--R                                (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                     + 
+--R                                   3  3         2     2     2       2 2      3 3
+--R                     (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R                  /
+--R                          4     3 2  6         3        2 3    5
+--R                       (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R                     + 
+--R                           3 2     2 2        4  2 4
+--R                       (12a c  + 9a b c - 3a b )d e
+--R                     + 
+--R                             2   2       3     5  3 3
+--R                       (- 24a b c  + 2a b c + b )d e
+--R                     + 
+--R                           2 3       2 2     4   4 2             3     3 2  5
+--R                       (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R                     + 
+--R                            4    2 3  6
+--R                       (4a c  - b c )d
+--R            + 
+--R                    3     2 2  3        3   2      4 2   +-------+
+--R              ((4a c  - 4b c )e  + 12b c d e  - 12c d e)\|e x + d
+--R     + 
+--R             2              2  +-------+
+--R         (a e  - b d e + c d )\|e x + d
+--R      *
+--R         ROOT
+--R                       4      3 2  6         3        2 3    5
+--R                    (8a c - 2a b )e  + (- 24a b c + 6a b )d e
+--R                  + 
+--R                        3 2      2 2        4  2 4
+--R                    (24a c  + 18a b c - 6a b )d e
+--R                  + 
+--R                          2   2       3      5  3 3
+--R                    (- 48a b c  + 4a b c + 2b )d e
+--R                  + 
+--R                        2 3        2 2     4   4 2             3     3 2  5
+--R                    (24a c  + 18a b c  - 6b c)d e  + (- 24a b c  + 6b c )d e
+--R                  + 
+--R                         4     2 3  6
+--R                    (8a c  - 2b c )d
+--R               *
+--R                  ROOT
+--R                             2 2       2     4  6            2     3     5
+--R                         (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                       + 
+--R                              3      2 2  2 4        3 3 3     4 4 2
+--R                         (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                    /
+--R                            7     6 2  12         6        5 3    11
+--R                         (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                       + 
+--R                             6 2      5 2       4 4  2 10
+--R                         (24a c  + 54a b c - 15a b )d e
+--R                       + 
+--R                                5   2      4 3       3 5  3 9
+--R                         (- 120a b c  - 50a b c + 20a b )d e
+--R                       + 
+--R                             5 3       4 2 2      2 6  4 8
+--R                         (60a c  + 225a b c  - 15a b )d e
+--R                       + 
+--R                                4   3       3 3 2      2 5        7  5 7
+--R                         (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                       + 
+--R                             4 4       3 2 3      2 4 2        6     8  6 6
+--R                         (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                       + 
+--R                                3   4       2 3 3        5 2     7   7 5
+--R                         (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                       + 
+--R                             3 5       2 2 4      6 2  8 4
+--R                         (60a c  + 225a b c  - 15b c )d e
+--R                       + 
+--R                                2   5        3 4      5 3  9 3
+--R                         (- 120a b c  - 50a b c  + 20b c )d e
+--R                       + 
+--R                             2 6        2 5      4 4  10 2
+--R                         (24a c  + 54a b c  - 15b c )d  e
+--R                       + 
+--R                                   6     3 5  11         7    2 6  12
+--R                         (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R              + 
+--R                              3  3         2     2     2       2 2      3 3
+--R                (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R           /
+--R                   4     3 2  6         3        2 3    5
+--R                (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R              + 
+--R                    3 2     2 2        4  2 4         2   2       3     5  3 3
+--R                (12a c  + 9a b c - 3a b )d e  + (- 24a b c  + 2a b c + b )d e
+--R              + 
+--R                    2 3       2 2     4   4 2             3     3 2  5
+--R                (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R              + 
+--R                     4    2 3  6
+--R                (4a c  - b c )d
+--R      *
+--R         log
+--R                           5 2     4 2     3 4  8
+--R                      (- 8a c  + 6a b c - a b )e
+--R                    + 
+--R                          4   2      3 3      2 5    7
+--R                      (16a b c  - 16a b c + 3a b )d e
+--R                    + 
+--R                            4 3      3 2 2     2 4        6  2 6
+--R                      (- 16a c  + 16a b c  + 9a b c - 3a b )d e
+--R                    + 
+--R                            2 3 2       5     7  3 5
+--R                      (- 40a b c  + 6a b c + b )d e
+--R                    + 
+--R                          2 2 3       4 2     6   4 4
+--R                      (60a b c  + 5a b c  - 5b c)d e
+--R                    + 
+--R                            2   4        3 3      5 2  5 3
+--R                      (- 48a b c  - 32a b c  + 11b c )d e
+--R                    + 
+--R                          2 5        2 4      4 3  6 2             5     3 4  7
+--R                      (16a c  + 48a b c  - 13b c )d e  + (- 32a b c  + 8b c )d e
+--R                    + 
+--R                           6     2 5  8
+--R                      (8a c  - 2b c )d
+--R                 *
+--R                    ROOT
+--R                               2 2       2     4  6            2     3     5
+--R                           (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                         + 
+--R                                3      2 2  2 4        3 3 3     4 4 2
+--R                           (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                      /
+--R                              7     6 2  12         6        5 3    11
+--R                           (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               6 2      5 2       4 4  2 10
+--R                           (24a c  + 54a b c - 15a b )d e
+--R                         + 
+--R                                  5   2      4 3       3 5  3 9
+--R                           (- 120a b c  - 50a b c + 20a b )d e
+--R                         + 
+--R                               5 3       4 2 2      2 6  4 8
+--R                           (60a c  + 225a b c  - 15a b )d e
+--R                         + 
+--R                                  4   3       3 3 2      2 5        7  5 7
+--R                           (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                         + 
+--R                               4 4       3 2 3      2 4 2        6     8  6 6
+--R                           (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                         + 
+--R                                  3   4       2 3 3        5 2     7   7 5
+--R                           (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                         + 
+--R                               3 5       2 2 4      6 2  8 4
+--R                           (60a c  + 225a b c  - 15b c )d e
+--R                         + 
+--R                                  2   5        3 4      5 3  9 3
+--R                           (- 120a b c  - 50a b c  + 20b c )d e
+--R                         + 
+--R                               2 6        2 5      4 4  10 2
+--R                           (24a c  + 54a b c  - 15b c )d  e
+--R                         + 
+--R                                     6     3 5  11         7    2 6  12
+--R                           (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                + 
+--R                       2   2       3     5  5      2 3        2 2     4     4
+--R                  (- 4a b c  + 5a b c - b )e  + (8a c  - 22a b c  + 5b c)d e
+--R                + 
+--R                          3     3 2  2 3           4     2 3  3 2
+--R                  (36a b c  - 9b c )d e  + (- 24a c  + 6b c )d e
+--R             *
+--R                ROOT
+--R                              4      3 2  6         3        2 3    5
+--R                           (8a c - 2a b )e  + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               3 2      2 2        4  2 4
+--R                           (24a c  + 18a b c - 6a b )d e
+--R                         + 
+--R                                 2   2       3      5  3 3
+--R                           (- 48a b c  + 4a b c + 2b )d e
+--R                         + 
+--R                               2 3        2 2     4   4 2
+--R                           (24a c  + 18a b c  - 6b c)d e
+--R                         + 
+--R                                     3     3 2  5         4     2 3  6
+--R                           (- 24a b c  + 6b c )d e + (8a c  - 2b c )d
+--R                      *
+--R                         ROOT
+--R                                    2 2       2     4  6
+--R                                (- a c  + 2a b c - b )e
+--R                              + 
+--R                                         2     3     5        3      2 2  2 4
+--R                                (- 6a b c  + 6b c)d e  + (6a c  - 15b c )d e
+--R                              + 
+--R                                     3 3 3     4 4 2
+--R                                18b c d e  - 9c d e
+--R                           /
+--R                                   7     6 2  12         6        5 3    11
+--R                                (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                              + 
+--R                                    6 2      5 2       4 4  2 10
+--R                                (24a c  + 54a b c - 15a b )d e
+--R                              + 
+--R                                       5   2      4 3       3 5  3 9
+--R                                (- 120a b c  - 50a b c + 20a b )d e
+--R                              + 
+--R                                    5 3       4 2 2      2 6  4 8
+--R                                (60a c  + 225a b c  - 15a b )d e
+--R                              + 
+--R                                       4   3       3 3 2      2 5        7  5 7
+--R                                (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                              + 
+--R                                      4 4       3 2 3      2 4 2        6     8
+--R                                  (80a c  + 340a b c  + 30a b c  - 26a b c - b )
+--R                               *
+--R                                   6 6
+--R                                  d e
+--R                              + 
+--R                                       3   4       2 3 3        5 2     7   7 5
+--R                                (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                              + 
+--R                                    3 5       2 2 4      6 2  8 4
+--R                                (60a c  + 225a b c  - 15b c )d e
+--R                              + 
+--R                                       2   5        3 4      5 3  9 3
+--R                                (- 120a b c  - 50a b c  + 20b c )d e
+--R                              + 
+--R                                    2 6        2 5      4 4  10 2
+--R                                (24a c  + 54a b c  - 15b c )d  e
+--R                              + 
+--R                                          6     3 5  11         7    2 6  12
+--R                                (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                     + 
+--R                                   3  3         2     2     2       2 2      3 3
+--R                     (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R                  /
+--R                          4     3 2  6         3        2 3    5
+--R                       (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R                     + 
+--R                           3 2     2 2        4  2 4
+--R                       (12a c  + 9a b c - 3a b )d e
+--R                     + 
+--R                             2   2       3     5  3 3
+--R                       (- 24a b c  + 2a b c + b )d e
+--R                     + 
+--R                           2 3       2 2     4   4 2             3     3 2  5
+--R                       (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R                     + 
+--R                            4    2 3  6
+--R                       (4a c  - b c )d
+--R            + 
+--R                    3     2 2  3        3   2      4 2   +-------+
+--R              ((4a c  - 4b c )e  + 12b c d e  - 12c d e)\|e x + d
+--R     + 
+--R       - 4e
+--R  /
+--R          2                2  +-------+
+--R     (2a e  - 2b d e + 2c d )\|e x + d
+--R                                         Type: Union(Expression(Integer),...)
+--E 363
+
+--S 364 of 512
+m0172:= a0172-r0172
+--R 
+--R
+--R   (241)
+--R                                               +----------------------------+
+--R                                 +-----------+ |  +-----------+
+--R               2              2  |          2  |  |          2
+--R         (- a e  + b d e - c d )\|- 4a c + b  \|e\|- 4a c + b   - b e + 2c d
+--R      *
+--R          +----------------------------+
+--R          |  +-----------+
+--R          |  |          2
+--R         \|e\|- 4a c + b   + b e - 2c d
+--R      *
+--R         ROOT
+--R                       4      3 2  6         3        2 3    5
+--R                    (8a c - 2a b )e  + (- 24a b c + 6a b )d e
+--R                  + 
+--R                        3 2      2 2        4  2 4
+--R                    (24a c  + 18a b c - 6a b )d e
+--R                  + 
+--R                          2   2       3      5  3 3
+--R                    (- 48a b c  + 4a b c + 2b )d e
+--R                  + 
+--R                        2 3        2 2     4   4 2             3     3 2  5
+--R                    (24a c  + 18a b c  - 6b c)d e  + (- 24a b c  + 6b c )d e
+--R                  + 
+--R                         4     2 3  6
+--R                    (8a c  - 2b c )d
+--R               *
+--R                  ROOT
+--R                             2 2       2     4  6            2     3     5
+--R                         (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                       + 
+--R                              3      2 2  2 4        3 3 3     4 4 2
+--R                         (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                    /
+--R                            7     6 2  12         6        5 3    11
+--R                         (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                       + 
+--R                             6 2      5 2       4 4  2 10
+--R                         (24a c  + 54a b c - 15a b )d e
+--R                       + 
+--R                                5   2      4 3       3 5  3 9
+--R                         (- 120a b c  - 50a b c + 20a b )d e
+--R                       + 
+--R                             5 3       4 2 2      2 6  4 8
+--R                         (60a c  + 225a b c  - 15a b )d e
+--R                       + 
+--R                                4   3       3 3 2      2 5        7  5 7
+--R                         (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                       + 
+--R                             4 4       3 2 3      2 4 2        6     8  6 6
+--R                         (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                       + 
+--R                                3   4       2 3 3        5 2     7   7 5
+--R                         (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                       + 
+--R                             3 5       2 2 4      6 2  8 4
+--R                         (60a c  + 225a b c  - 15b c )d e
+--R                       + 
+--R                                2   5        3 4      5 3  9 3
+--R                         (- 120a b c  - 50a b c  + 20b c )d e
+--R                       + 
+--R                             2 6        2 5      4 4  10 2
+--R                         (24a c  + 54a b c  - 15b c )d  e
+--R                       + 
+--R                                   6     3 5  11         7    2 6  12
+--R                         (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R              + 
+--R                              3  3         2     2     2       2 2      3 3
+--R                (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R           /
+--R                   4     3 2  6         3        2 3    5
+--R                (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R              + 
+--R                    3 2     2 2        4  2 4         2   2       3     5  3 3
+--R                (12a c  + 9a b c - 3a b )d e  + (- 24a b c  + 2a b c + b )d e
+--R              + 
+--R                    2 3       2 2     4   4 2             3     3 2  5
+--R                (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R              + 
+--R                     4    2 3  6
+--R                (4a c  - b c )d
+--R      *
+--R         log
+--R                         5 2     4 2     3 4  8
+--R                      (8a c  - 6a b c + a b )e
+--R                    + 
+--R                            4   2      3 3      2 5    7
+--R                      (- 16a b c  + 16a b c - 3a b )d e
+--R                    + 
+--R                          4 3      3 2 2     2 4        6  2 6
+--R                      (16a c  - 16a b c  - 9a b c + 3a b )d e
+--R                    + 
+--R                          2 3 2       5     7  3 5
+--R                      (40a b c  - 6a b c - b )d e
+--R                    + 
+--R                            2 2 3       4 2     6   4 4
+--R                      (- 60a b c  - 5a b c  + 5b c)d e
+--R                    + 
+--R                          2   4        3 3      5 2  5 3
+--R                      (48a b c  + 32a b c  - 11b c )d e
+--R                    + 
+--R                            2 5        2 4      4 3  6 2           5     3 4  7
+--R                      (- 16a c  - 48a b c  + 13b c )d e  + (32a b c  - 8b c )d e
+--R                    + 
+--R                             6     2 5  8
+--R                      (- 8a c  + 2b c )d
+--R                 *
+--R                    ROOT
+--R                               2 2       2     4  6            2     3     5
+--R                           (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                         + 
+--R                                3      2 2  2 4        3 3 3     4 4 2
+--R                           (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                      /
+--R                              7     6 2  12         6        5 3    11
+--R                           (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               6 2      5 2       4 4  2 10
+--R                           (24a c  + 54a b c - 15a b )d e
+--R                         + 
+--R                                  5   2      4 3       3 5  3 9
+--R                           (- 120a b c  - 50a b c + 20a b )d e
+--R                         + 
+--R                               5 3       4 2 2      2 6  4 8
+--R                           (60a c  + 225a b c  - 15a b )d e
+--R                         + 
+--R                                  4   3       3 3 2      2 5        7  5 7
+--R                           (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                         + 
+--R                               4 4       3 2 3      2 4 2        6     8  6 6
+--R                           (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                         + 
+--R                                  3   4       2 3 3        5 2     7   7 5
+--R                           (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                         + 
+--R                               3 5       2 2 4      6 2  8 4
+--R                           (60a c  + 225a b c  - 15b c )d e
+--R                         + 
+--R                                  2   5        3 4      5 3  9 3
+--R                           (- 120a b c  - 50a b c  + 20b c )d e
+--R                         + 
+--R                               2 6        2 5      4 4  10 2
+--R                           (24a c  + 54a b c  - 15b c )d  e
+--R                         + 
+--R                                     6     3 5  11         7    2 6  12
+--R                           (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                + 
+--R                     2   2       3     5  5        2 3        2 2     4     4
+--R                  (4a b c  - 5a b c + b )e  + (- 8a c  + 22a b c  - 5b c)d e
+--R                + 
+--R                            3     3 2  2 3         4     2 3  3 2
+--R                  (- 36a b c  + 9b c )d e  + (24a c  - 6b c )d e
+--R             *
+--R                ROOT
+--R                              4      3 2  6         3        2 3    5
+--R                           (8a c - 2a b )e  + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               3 2      2 2        4  2 4
+--R                           (24a c  + 18a b c - 6a b )d e
+--R                         + 
+--R                                 2   2       3      5  3 3
+--R                           (- 48a b c  + 4a b c + 2b )d e
+--R                         + 
+--R                               2 3        2 2     4   4 2
+--R                           (24a c  + 18a b c  - 6b c)d e
+--R                         + 
+--R                                     3     3 2  5         4     2 3  6
+--R                           (- 24a b c  + 6b c )d e + (8a c  - 2b c )d
+--R                      *
+--R                         ROOT
+--R                                    2 2       2     4  6
+--R                                (- a c  + 2a b c - b )e
+--R                              + 
+--R                                         2     3     5        3      2 2  2 4
+--R                                (- 6a b c  + 6b c)d e  + (6a c  - 15b c )d e
+--R                              + 
+--R                                     3 3 3     4 4 2
+--R                                18b c d e  - 9c d e
+--R                           /
+--R                                   7     6 2  12         6        5 3    11
+--R                                (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                              + 
+--R                                    6 2      5 2       4 4  2 10
+--R                                (24a c  + 54a b c - 15a b )d e
+--R                              + 
+--R                                       5   2      4 3       3 5  3 9
+--R                                (- 120a b c  - 50a b c + 20a b )d e
+--R                              + 
+--R                                    5 3       4 2 2      2 6  4 8
+--R                                (60a c  + 225a b c  - 15a b )d e
+--R                              + 
+--R                                       4   3       3 3 2      2 5        7  5 7
+--R                                (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                              + 
+--R                                      4 4       3 2 3      2 4 2        6     8
+--R                                  (80a c  + 340a b c  + 30a b c  - 26a b c - b )
+--R                               *
+--R                                   6 6
+--R                                  d e
+--R                              + 
+--R                                       3   4       2 3 3        5 2     7   7 5
+--R                                (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                              + 
+--R                                    3 5       2 2 4      6 2  8 4
+--R                                (60a c  + 225a b c  - 15b c )d e
+--R                              + 
+--R                                       2   5        3 4      5 3  9 3
+--R                                (- 120a b c  - 50a b c  + 20b c )d e
+--R                              + 
+--R                                    2 6        2 5      4 4  10 2
+--R                                (24a c  + 54a b c  - 15b c )d  e
+--R                              + 
+--R                                          6     3 5  11         7    2 6  12
+--R                                (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                     + 
+--R                                   3  3         2     2     2       2 2      3 3
+--R                     (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R                  /
+--R                          4     3 2  6         3        2 3    5
+--R                       (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R                     + 
+--R                           3 2     2 2        4  2 4
+--R                       (12a c  + 9a b c - 3a b )d e
+--R                     + 
+--R                             2   2       3     5  3 3
+--R                       (- 24a b c  + 2a b c + b )d e
+--R                     + 
+--R                           2 3       2 2     4   4 2             3     3 2  5
+--R                       (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R                     + 
+--R                            4    2 3  6
+--R                       (4a c  - b c )d
+--R            + 
+--R                    3     2 2  3        3   2      4 2   +-------+
+--R              ((4a c  - 4b c )e  + 12b c d e  - 12c d e)\|e x + d
+--R     + 
+--R                               +-----------+
+--R             2              2  |          2
+--R         (a e  - b d e + c d )\|- 4a c + b
+--R      *
+--R         ROOT
+--R                         4      3 2  6       3        2 3    5
+--R                    (- 8a c + 2a b )e  + (24a b c - 6a b )d e
+--R                  + 
+--R                          3 2      2 2        4  2 4
+--R                    (- 24a c  - 18a b c + 6a b )d e
+--R                  + 
+--R                        2   2       3      5  3 3
+--R                    (48a b c  - 4a b c - 2b )d e
+--R                  + 
+--R                          2 3        2 2     4   4 2           3     3 2  5
+--R                    (- 24a c  - 18a b c  + 6b c)d e  + (24a b c  - 6b c )d e
+--R                  + 
+--R                           4     2 3  6
+--R                    (- 8a c  + 2b c )d
+--R               *
+--R                  ROOT
+--R                             2 2       2     4  6            2     3     5
+--R                         (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                       + 
+--R                              3      2 2  2 4        3 3 3     4 4 2
+--R                         (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                    /
+--R                            7     6 2  12         6        5 3    11
+--R                         (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                       + 
+--R                             6 2      5 2       4 4  2 10
+--R                         (24a c  + 54a b c - 15a b )d e
+--R                       + 
+--R                                5   2      4 3       3 5  3 9
+--R                         (- 120a b c  - 50a b c + 20a b )d e
+--R                       + 
+--R                             5 3       4 2 2      2 6  4 8
+--R                         (60a c  + 225a b c  - 15a b )d e
+--R                       + 
+--R                                4   3       3 3 2      2 5        7  5 7
+--R                         (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                       + 
+--R                             4 4       3 2 3      2 4 2        6     8  6 6
+--R                         (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                       + 
+--R                                3   4       2 3 3        5 2     7   7 5
+--R                         (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                       + 
+--R                             3 5       2 2 4      6 2  8 4
+--R                         (60a c  + 225a b c  - 15b c )d e
+--R                       + 
+--R                                2   5        3 4      5 3  9 3
+--R                         (- 120a b c  - 50a b c  + 20b c )d e
+--R                       + 
+--R                             2 6        2 5      4 4  10 2
+--R                         (24a c  + 54a b c  - 15b c )d  e
+--R                       + 
+--R                                   6     3 5  11         7    2 6  12
+--R                         (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R              + 
+--R                              3  3         2     2     2       2 2      3 3
+--R                (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R           /
+--R                   4     3 2  6         3        2 3    5
+--R                (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R              + 
+--R                    3 2     2 2        4  2 4         2   2       3     5  3 3
+--R                (12a c  + 9a b c - 3a b )d e  + (- 24a b c  + 2a b c + b )d e
+--R              + 
+--R                    2 3       2 2     4   4 2             3     3 2  5
+--R                (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R              + 
+--R                     4    2 3  6
+--R                (4a c  - b c )d
+--R      *
+--R          +----------------------------+ +----------------------------+
+--R          |  +-----------+               |  +-----------+
+--R          |  |          2                |  |          2
+--R         \|e\|- 4a c + b   - b e + 2c d \|e\|- 4a c + b   + b e - 2c d
+--R      *
+--R         log
+--R                         5 2     4 2     3 4  8
+--R                      (8a c  - 6a b c + a b )e
+--R                    + 
+--R                            4   2      3 3      2 5    7
+--R                      (- 16a b c  + 16a b c - 3a b )d e
+--R                    + 
+--R                          4 3      3 2 2     2 4        6  2 6
+--R                      (16a c  - 16a b c  - 9a b c + 3a b )d e
+--R                    + 
+--R                          2 3 2       5     7  3 5
+--R                      (40a b c  - 6a b c - b )d e
+--R                    + 
+--R                            2 2 3       4 2     6   4 4
+--R                      (- 60a b c  - 5a b c  + 5b c)d e
+--R                    + 
+--R                          2   4        3 3      5 2  5 3
+--R                      (48a b c  + 32a b c  - 11b c )d e
+--R                    + 
+--R                            2 5        2 4      4 3  6 2           5     3 4  7
+--R                      (- 16a c  - 48a b c  + 13b c )d e  + (32a b c  - 8b c )d e
+--R                    + 
+--R                             6     2 5  8
+--R                      (- 8a c  + 2b c )d
+--R                 *
+--R                    ROOT
+--R                               2 2       2     4  6            2     3     5
+--R                           (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                         + 
+--R                                3      2 2  2 4        3 3 3     4 4 2
+--R                           (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                      /
+--R                              7     6 2  12         6        5 3    11
+--R                           (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               6 2      5 2       4 4  2 10
+--R                           (24a c  + 54a b c - 15a b )d e
+--R                         + 
+--R                                  5   2      4 3       3 5  3 9
+--R                           (- 120a b c  - 50a b c + 20a b )d e
+--R                         + 
+--R                               5 3       4 2 2      2 6  4 8
+--R                           (60a c  + 225a b c  - 15a b )d e
+--R                         + 
+--R                                  4   3       3 3 2      2 5        7  5 7
+--R                           (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                         + 
+--R                               4 4       3 2 3      2 4 2        6     8  6 6
+--R                           (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                         + 
+--R                                  3   4       2 3 3        5 2     7   7 5
+--R                           (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                         + 
+--R                               3 5       2 2 4      6 2  8 4
+--R                           (60a c  + 225a b c  - 15b c )d e
+--R                         + 
+--R                                  2   5        3 4      5 3  9 3
+--R                           (- 120a b c  - 50a b c  + 20b c )d e
+--R                         + 
+--R                               2 6        2 5      4 4  10 2
+--R                           (24a c  + 54a b c  - 15b c )d  e
+--R                         + 
+--R                                     6     3 5  11         7    2 6  12
+--R                           (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                + 
+--R                       2   2       3     5  5      2 3        2 2     4     4
+--R                  (- 4a b c  + 5a b c - b )e  + (8a c  - 22a b c  + 5b c)d e
+--R                + 
+--R                          3     3 2  2 3           4     2 3  3 2
+--R                  (36a b c  - 9b c )d e  + (- 24a c  + 6b c )d e
+--R             *
+--R                ROOT
+--R                                4      3 2  6       3        2 3    5
+--R                           (- 8a c + 2a b )e  + (24a b c - 6a b )d e
+--R                         + 
+--R                                 3 2      2 2        4  2 4
+--R                           (- 24a c  - 18a b c + 6a b )d e
+--R                         + 
+--R                               2   2       3      5  3 3
+--R                           (48a b c  - 4a b c - 2b )d e
+--R                         + 
+--R                                 2 3        2 2     4   4 2
+--R                           (- 24a c  - 18a b c  + 6b c)d e
+--R                         + 
+--R                                   3     3 2  5           4     2 3  6
+--R                           (24a b c  - 6b c )d e + (- 8a c  + 2b c )d
+--R                      *
+--R                         ROOT
+--R                                    2 2       2     4  6
+--R                                (- a c  + 2a b c - b )e
+--R                              + 
+--R                                         2     3     5        3      2 2  2 4
+--R                                (- 6a b c  + 6b c)d e  + (6a c  - 15b c )d e
+--R                              + 
+--R                                     3 3 3     4 4 2
+--R                                18b c d e  - 9c d e
+--R                           /
+--R                                   7     6 2  12         6        5 3    11
+--R                                (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                              + 
+--R                                    6 2      5 2       4 4  2 10
+--R                                (24a c  + 54a b c - 15a b )d e
+--R                              + 
+--R                                       5   2      4 3       3 5  3 9
+--R                                (- 120a b c  - 50a b c + 20a b )d e
+--R                              + 
+--R                                    5 3       4 2 2      2 6  4 8
+--R                                (60a c  + 225a b c  - 15a b )d e
+--R                              + 
+--R                                       4   3       3 3 2      2 5        7  5 7
+--R                                (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                              + 
+--R                                      4 4       3 2 3      2 4 2        6     8
+--R                                  (80a c  + 340a b c  + 30a b c  - 26a b c - b )
+--R                               *
+--R                                   6 6
+--R                                  d e
+--R                              + 
+--R                                       3   4       2 3 3        5 2     7   7 5
+--R                                (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                              + 
+--R                                    3 5       2 2 4      6 2  8 4
+--R                                (60a c  + 225a b c  - 15b c )d e
+--R                              + 
+--R                                       2   5        3 4      5 3  9 3
+--R                                (- 120a b c  - 50a b c  + 20b c )d e
+--R                              + 
+--R                                    2 6        2 5      4 4  10 2
+--R                                (24a c  + 54a b c  - 15b c )d  e
+--R                              + 
+--R                                          6     3 5  11         7    2 6  12
+--R                                (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                     + 
+--R                                   3  3         2     2     2       2 2      3 3
+--R                     (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R                  /
+--R                          4     3 2  6         3        2 3    5
+--R                       (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R                     + 
+--R                           3 2     2 2        4  2 4
+--R                       (12a c  + 9a b c - 3a b )d e
+--R                     + 
+--R                             2   2       3     5  3 3
+--R                       (- 24a b c  + 2a b c + b )d e
+--R                     + 
+--R                           2 3       2 2     4   4 2             3     3 2  5
+--R                       (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R                     + 
+--R                            4    2 3  6
+--R                       (4a c  - b c )d
+--R            + 
+--R                    3     2 2  3        3   2      4 2   +-------+
+--R              ((4a c  - 4b c )e  + 12b c d e  - 12c d e)\|e x + d
+--R     + 
+--R                                 +-----------+
+--R               2              2  |          2
+--R         (- a e  + b d e - c d )\|- 4a c + b
+--R      *
+--R         ROOT
+--R                         4      3 2  6       3        2 3    5
+--R                    (- 8a c + 2a b )e  + (24a b c - 6a b )d e
+--R                  + 
+--R                          3 2      2 2        4  2 4
+--R                    (- 24a c  - 18a b c + 6a b )d e
+--R                  + 
+--R                        2   2       3      5  3 3
+--R                    (48a b c  - 4a b c - 2b )d e
+--R                  + 
+--R                          2 3        2 2     4   4 2           3     3 2  5
+--R                    (- 24a c  - 18a b c  + 6b c)d e  + (24a b c  - 6b c )d e
+--R                  + 
+--R                           4     2 3  6
+--R                    (- 8a c  + 2b c )d
+--R               *
+--R                  ROOT
+--R                             2 2       2     4  6            2     3     5
+--R                         (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                       + 
+--R                              3      2 2  2 4        3 3 3     4 4 2
+--R                         (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                    /
+--R                            7     6 2  12         6        5 3    11
+--R                         (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                       + 
+--R                             6 2      5 2       4 4  2 10
+--R                         (24a c  + 54a b c - 15a b )d e
+--R                       + 
+--R                                5   2      4 3       3 5  3 9
+--R                         (- 120a b c  - 50a b c + 20a b )d e
+--R                       + 
+--R                             5 3       4 2 2      2 6  4 8
+--R                         (60a c  + 225a b c  - 15a b )d e
+--R                       + 
+--R                                4   3       3 3 2      2 5        7  5 7
+--R                         (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                       + 
+--R                             4 4       3 2 3      2 4 2        6     8  6 6
+--R                         (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                       + 
+--R                                3   4       2 3 3        5 2     7   7 5
+--R                         (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                       + 
+--R                             3 5       2 2 4      6 2  8 4
+--R                         (60a c  + 225a b c  - 15b c )d e
+--R                       + 
+--R                                2   5        3 4      5 3  9 3
+--R                         (- 120a b c  - 50a b c  + 20b c )d e
+--R                       + 
+--R                             2 6        2 5      4 4  10 2
+--R                         (24a c  + 54a b c  - 15b c )d  e
+--R                       + 
+--R                                   6     3 5  11         7    2 6  12
+--R                         (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R              + 
+--R                              3  3         2     2     2       2 2      3 3
+--R                (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R           /
+--R                   4     3 2  6         3        2 3    5
+--R                (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R              + 
+--R                    3 2     2 2        4  2 4         2   2       3     5  3 3
+--R                (12a c  + 9a b c - 3a b )d e  + (- 24a b c  + 2a b c + b )d e
+--R              + 
+--R                    2 3       2 2     4   4 2             3     3 2  5
+--R                (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R              + 
+--R                     4    2 3  6
+--R                (4a c  - b c )d
+--R      *
+--R          +----------------------------+ +----------------------------+
+--R          |  +-----------+               |  +-----------+
+--R          |  |          2                |  |          2
+--R         \|e\|- 4a c + b   - b e + 2c d \|e\|- 4a c + b   + b e - 2c d
+--R      *
+--R         log
+--R                           5 2     4 2     3 4  8
+--R                      (- 8a c  + 6a b c - a b )e
+--R                    + 
+--R                          4   2      3 3      2 5    7
+--R                      (16a b c  - 16a b c + 3a b )d e
+--R                    + 
+--R                            4 3      3 2 2     2 4        6  2 6
+--R                      (- 16a c  + 16a b c  + 9a b c - 3a b )d e
+--R                    + 
+--R                            2 3 2       5     7  3 5
+--R                      (- 40a b c  + 6a b c + b )d e
+--R                    + 
+--R                          2 2 3       4 2     6   4 4
+--R                      (60a b c  + 5a b c  - 5b c)d e
+--R                    + 
+--R                            2   4        3 3      5 2  5 3
+--R                      (- 48a b c  - 32a b c  + 11b c )d e
+--R                    + 
+--R                          2 5        2 4      4 3  6 2             5     3 4  7
+--R                      (16a c  + 48a b c  - 13b c )d e  + (- 32a b c  + 8b c )d e
+--R                    + 
+--R                           6     2 5  8
+--R                      (8a c  - 2b c )d
+--R                 *
+--R                    ROOT
+--R                               2 2       2     4  6            2     3     5
+--R                           (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                         + 
+--R                                3      2 2  2 4        3 3 3     4 4 2
+--R                           (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                      /
+--R                              7     6 2  12         6        5 3    11
+--R                           (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               6 2      5 2       4 4  2 10
+--R                           (24a c  + 54a b c - 15a b )d e
+--R                         + 
+--R                                  5   2      4 3       3 5  3 9
+--R                           (- 120a b c  - 50a b c + 20a b )d e
+--R                         + 
+--R                               5 3       4 2 2      2 6  4 8
+--R                           (60a c  + 225a b c  - 15a b )d e
+--R                         + 
+--R                                  4   3       3 3 2      2 5        7  5 7
+--R                           (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                         + 
+--R                               4 4       3 2 3      2 4 2        6     8  6 6
+--R                           (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                         + 
+--R                                  3   4       2 3 3        5 2     7   7 5
+--R                           (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                         + 
+--R                               3 5       2 2 4      6 2  8 4
+--R                           (60a c  + 225a b c  - 15b c )d e
+--R                         + 
+--R                                  2   5        3 4      5 3  9 3
+--R                           (- 120a b c  - 50a b c  + 20b c )d e
+--R                         + 
+--R                               2 6        2 5      4 4  10 2
+--R                           (24a c  + 54a b c  - 15b c )d  e
+--R                         + 
+--R                                     6     3 5  11         7    2 6  12
+--R                           (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                + 
+--R                     2   2       3     5  5        2 3        2 2     4     4
+--R                  (4a b c  - 5a b c + b )e  + (- 8a c  + 22a b c  - 5b c)d e
+--R                + 
+--R                            3     3 2  2 3         4     2 3  3 2
+--R                  (- 36a b c  + 9b c )d e  + (24a c  - 6b c )d e
+--R             *
+--R                ROOT
+--R                                4      3 2  6       3        2 3    5
+--R                           (- 8a c + 2a b )e  + (24a b c - 6a b )d e
+--R                         + 
+--R                                 3 2      2 2        4  2 4
+--R                           (- 24a c  - 18a b c + 6a b )d e
+--R                         + 
+--R                               2   2       3      5  3 3
+--R                           (48a b c  - 4a b c - 2b )d e
+--R                         + 
+--R                                 2 3        2 2     4   4 2
+--R                           (- 24a c  - 18a b c  + 6b c)d e
+--R                         + 
+--R                                   3     3 2  5           4     2 3  6
+--R                           (24a b c  - 6b c )d e + (- 8a c  + 2b c )d
+--R                      *
+--R                         ROOT
+--R                                    2 2       2     4  6
+--R                                (- a c  + 2a b c - b )e
+--R                              + 
+--R                                         2     3     5        3      2 2  2 4
+--R                                (- 6a b c  + 6b c)d e  + (6a c  - 15b c )d e
+--R                              + 
+--R                                     3 3 3     4 4 2
+--R                                18b c d e  - 9c d e
+--R                           /
+--R                                   7     6 2  12         6        5 3    11
+--R                                (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                              + 
+--R                                    6 2      5 2       4 4  2 10
+--R                                (24a c  + 54a b c - 15a b )d e
+--R                              + 
+--R                                       5   2      4 3       3 5  3 9
+--R                                (- 120a b c  - 50a b c + 20a b )d e
+--R                              + 
+--R                                    5 3       4 2 2      2 6  4 8
+--R                                (60a c  + 225a b c  - 15a b )d e
+--R                              + 
+--R                                       4   3       3 3 2      2 5        7  5 7
+--R                                (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                              + 
+--R                                      4 4       3 2 3      2 4 2        6     8
+--R                                  (80a c  + 340a b c  + 30a b c  - 26a b c - b )
+--R                               *
+--R                                   6 6
+--R                                  d e
+--R                              + 
+--R                                       3   4       2 3 3        5 2     7   7 5
+--R                                (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                              + 
+--R                                    3 5       2 2 4      6 2  8 4
+--R                                (60a c  + 225a b c  - 15b c )d e
+--R                              + 
+--R                                       2   5        3 4      5 3  9 3
+--R                                (- 120a b c  - 50a b c  + 20b c )d e
+--R                              + 
+--R                                    2 6        2 5      4 4  10 2
+--R                                (24a c  + 54a b c  - 15b c )d  e
+--R                              + 
+--R                                          6     3 5  11         7    2 6  12
+--R                                (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                     + 
+--R                                   3  3         2     2     2       2 2      3 3
+--R                     (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R                  /
+--R                          4     3 2  6         3        2 3    5
+--R                       (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R                     + 
+--R                           3 2     2 2        4  2 4
+--R                       (12a c  + 9a b c - 3a b )d e
+--R                     + 
+--R                             2   2       3     5  3 3
+--R                       (- 24a b c  + 2a b c + b )d e
+--R                     + 
+--R                           2 3       2 2     4   4 2             3     3 2  5
+--R                       (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R                     + 
+--R                            4    2 3  6
+--R                       (4a c  - b c )d
+--R            + 
+--R                    3     2 2  3        3   2      4 2   +-------+
+--R              ((4a c  - 4b c )e  + 12b c d e  - 12c d e)\|e x + d
+--R     + 
+--R                                             +----------------------------+
+--R                               +-----------+ |  +-----------+
+--R             2              2  |          2  |  |          2
+--R         (a e  - b d e + c d )\|- 4a c + b  \|e\|- 4a c + b   - b e + 2c d
+--R      *
+--R          +----------------------------+
+--R          |  +-----------+
+--R          |  |          2
+--R         \|e\|- 4a c + b   + b e - 2c d
+--R      *
+--R         ROOT
+--R                       4      3 2  6         3        2 3    5
+--R                    (8a c - 2a b )e  + (- 24a b c + 6a b )d e
+--R                  + 
+--R                        3 2      2 2        4  2 4
+--R                    (24a c  + 18a b c - 6a b )d e
+--R                  + 
+--R                          2   2       3      5  3 3
+--R                    (- 48a b c  + 4a b c + 2b )d e
+--R                  + 
+--R                        2 3        2 2     4   4 2             3     3 2  5
+--R                    (24a c  + 18a b c  - 6b c)d e  + (- 24a b c  + 6b c )d e
+--R                  + 
+--R                         4     2 3  6
+--R                    (8a c  - 2b c )d
+--R               *
+--R                  ROOT
+--R                             2 2       2     4  6            2     3     5
+--R                         (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                       + 
+--R                              3      2 2  2 4        3 3 3     4 4 2
+--R                         (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                    /
+--R                            7     6 2  12         6        5 3    11
+--R                         (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                       + 
+--R                             6 2      5 2       4 4  2 10
+--R                         (24a c  + 54a b c - 15a b )d e
+--R                       + 
+--R                                5   2      4 3       3 5  3 9
+--R                         (- 120a b c  - 50a b c + 20a b )d e
+--R                       + 
+--R                             5 3       4 2 2      2 6  4 8
+--R                         (60a c  + 225a b c  - 15a b )d e
+--R                       + 
+--R                                4   3       3 3 2      2 5        7  5 7
+--R                         (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                       + 
+--R                             4 4       3 2 3      2 4 2        6     8  6 6
+--R                         (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                       + 
+--R                                3   4       2 3 3        5 2     7   7 5
+--R                         (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                       + 
+--R                             3 5       2 2 4      6 2  8 4
+--R                         (60a c  + 225a b c  - 15b c )d e
+--R                       + 
+--R                                2   5        3 4      5 3  9 3
+--R                         (- 120a b c  - 50a b c  + 20b c )d e
+--R                       + 
+--R                             2 6        2 5      4 4  10 2
+--R                         (24a c  + 54a b c  - 15b c )d  e
+--R                       + 
+--R                                   6     3 5  11         7    2 6  12
+--R                         (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R              + 
+--R                              3  3         2     2     2       2 2      3 3
+--R                (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R           /
+--R                   4     3 2  6         3        2 3    5
+--R                (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R              + 
+--R                    3 2     2 2        4  2 4         2   2       3     5  3 3
+--R                (12a c  + 9a b c - 3a b )d e  + (- 24a b c  + 2a b c + b )d e
+--R              + 
+--R                    2 3       2 2     4   4 2             3     3 2  5
+--R                (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R              + 
+--R                     4    2 3  6
+--R                (4a c  - b c )d
+--R      *
+--R         log
+--R                           5 2     4 2     3 4  8
+--R                      (- 8a c  + 6a b c - a b )e
+--R                    + 
+--R                          4   2      3 3      2 5    7
+--R                      (16a b c  - 16a b c + 3a b )d e
+--R                    + 
+--R                            4 3      3 2 2     2 4        6  2 6
+--R                      (- 16a c  + 16a b c  + 9a b c - 3a b )d e
+--R                    + 
+--R                            2 3 2       5     7  3 5
+--R                      (- 40a b c  + 6a b c + b )d e
+--R                    + 
+--R                          2 2 3       4 2     6   4 4
+--R                      (60a b c  + 5a b c  - 5b c)d e
+--R                    + 
+--R                            2   4        3 3      5 2  5 3
+--R                      (- 48a b c  - 32a b c  + 11b c )d e
+--R                    + 
+--R                          2 5        2 4      4 3  6 2             5     3 4  7
+--R                      (16a c  + 48a b c  - 13b c )d e  + (- 32a b c  + 8b c )d e
+--R                    + 
+--R                           6     2 5  8
+--R                      (8a c  - 2b c )d
+--R                 *
+--R                    ROOT
+--R                               2 2       2     4  6            2     3     5
+--R                           (- a c  + 2a b c - b )e  + (- 6a b c  + 6b c)d e
+--R                         + 
+--R                                3      2 2  2 4        3 3 3     4 4 2
+--R                           (6a c  - 15b c )d e  + 18b c d e  - 9c d e
+--R                      /
+--R                              7     6 2  12         6        5 3    11
+--R                           (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               6 2      5 2       4 4  2 10
+--R                           (24a c  + 54a b c - 15a b )d e
+--R                         + 
+--R                                  5   2      4 3       3 5  3 9
+--R                           (- 120a b c  - 50a b c + 20a b )d e
+--R                         + 
+--R                               5 3       4 2 2      2 6  4 8
+--R                           (60a c  + 225a b c  - 15a b )d e
+--R                         + 
+--R                                  4   3       3 3 2      2 5        7  5 7
+--R                           (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                         + 
+--R                               4 4       3 2 3      2 4 2        6     8  6 6
+--R                           (80a c  + 340a b c  + 30a b c  - 26a b c - b )d e
+--R                         + 
+--R                                  3   4       2 3 3        5 2     7   7 5
+--R                           (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                         + 
+--R                               3 5       2 2 4      6 2  8 4
+--R                           (60a c  + 225a b c  - 15b c )d e
+--R                         + 
+--R                                  2   5        3 4      5 3  9 3
+--R                           (- 120a b c  - 50a b c  + 20b c )d e
+--R                         + 
+--R                               2 6        2 5      4 4  10 2
+--R                           (24a c  + 54a b c  - 15b c )d  e
+--R                         + 
+--R                                     6     3 5  11         7    2 6  12
+--R                           (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                + 
+--R                       2   2       3     5  5      2 3        2 2     4     4
+--R                  (- 4a b c  + 5a b c - b )e  + (8a c  - 22a b c  + 5b c)d e
+--R                + 
+--R                          3     3 2  2 3           4     2 3  3 2
+--R                  (36a b c  - 9b c )d e  + (- 24a c  + 6b c )d e
+--R             *
+--R                ROOT
+--R                              4      3 2  6         3        2 3    5
+--R                           (8a c - 2a b )e  + (- 24a b c + 6a b )d e
+--R                         + 
+--R                               3 2      2 2        4  2 4
+--R                           (24a c  + 18a b c - 6a b )d e
+--R                         + 
+--R                                 2   2       3      5  3 3
+--R                           (- 48a b c  + 4a b c + 2b )d e
+--R                         + 
+--R                               2 3        2 2     4   4 2
+--R                           (24a c  + 18a b c  - 6b c)d e
+--R                         + 
+--R                                     3     3 2  5         4     2 3  6
+--R                           (- 24a b c  + 6b c )d e + (8a c  - 2b c )d
+--R                      *
+--R                         ROOT
+--R                                    2 2       2     4  6
+--R                                (- a c  + 2a b c - b )e
+--R                              + 
+--R                                         2     3     5        3      2 2  2 4
+--R                                (- 6a b c  + 6b c)d e  + (6a c  - 15b c )d e
+--R                              + 
+--R                                     3 3 3     4 4 2
+--R                                18b c d e  - 9c d e
+--R                           /
+--R                                   7     6 2  12         6        5 3    11
+--R                                (4a c - a b )e   + (- 24a b c + 6a b )d e
+--R                              + 
+--R                                    6 2      5 2       4 4  2 10
+--R                                (24a c  + 54a b c - 15a b )d e
+--R                              + 
+--R                                       5   2      4 3       3 5  3 9
+--R                                (- 120a b c  - 50a b c + 20a b )d e
+--R                              + 
+--R                                    5 3       4 2 2      2 6  4 8
+--R                                (60a c  + 225a b c  - 15a b )d e
+--R                              + 
+--R                                       4   3       3 3 2      2 5        7  5 7
+--R                                (- 240a b c  - 180a b c  + 36a b c + 6a b )d e
+--R                              + 
+--R                                      4 4       3 2 3      2 4 2        6     8
+--R                                  (80a c  + 340a b c  + 30a b c  - 26a b c - b )
+--R                               *
+--R                                   6 6
+--R                                  d e
+--R                              + 
+--R                                       3   4       2 3 3        5 2     7   7 5
+--R                                (- 240a b c  - 180a b c  + 36a b c  + 6b c)d e
+--R                              + 
+--R                                    3 5       2 2 4      6 2  8 4
+--R                                (60a c  + 225a b c  - 15b c )d e
+--R                              + 
+--R                                       2   5        3 4      5 3  9 3
+--R                                (- 120a b c  - 50a b c  + 20b c )d e
+--R                              + 
+--R                                    2 6        2 5      4 4  10 2
+--R                                (24a c  + 54a b c  - 15b c )d  e
+--R                              + 
+--R                                          6     3 5  11         7    2 6  12
+--R                                (- 24a b c  + 6b c )d  e + (4a c  - b c )d
+--R                     + 
+--R                                   3  3         2     2     2       2 2      3 3
+--R                     (- 6a b c + 2b )e  + (12a c  - 6b c)d e  + 6b c d e - 4c d
+--R                  /
+--R                          4     3 2  6         3        2 3    5
+--R                       (4a c - a b )e  + (- 12a b c + 3a b )d e
+--R                     + 
+--R                           3 2     2 2        4  2 4
+--R                       (12a c  + 9a b c - 3a b )d e
+--R                     + 
+--R                             2   2       3     5  3 3
+--R                       (- 24a b c  + 2a b c + b )d e
+--R                     + 
+--R                           2 3       2 2     4   4 2             3     3 2  5
+--R                       (12a c  + 9a b c  - 3b c)d e  + (- 12a b c  + 3b c )d e
+--R                     + 
+--R                            4    2 3  6
+--R                       (4a c  - b c )d
+--R            + 
+--R                    3     2 2  3        3   2      4 2   +-------+
+--R              ((4a c  - 4b c )e  + 12b c d e  - 12c d e)\|e x + d
+--R     + 
+--R                   +-----------+
+--R               +-+ |          2                    +-+  +-+
+--R         (- 2e\|2 \|- 4a c + b   + (- 2b e + 4c d)\|2 )\|c
+--R      *
+--R          +----------------------------+
+--R          |  +-----------+                            +-+ +-+ +-------+
+--R          |  |          2                            \|2 \|c \|e x + d
+--R         \|e\|- 4a c + b   + b e - 2c d atanh(-------------------------------)
+--R                                               +----------------------------+
+--R                                               |  +-----------+
+--R                                               |  |          2
+--R                                              \|e\|- 4a c + b   - b e + 2c d
+--R     + 
+--R                 +-----------+
+--R             +-+ |          2                    +-+  +-+
+--R         (2e\|2 \|- 4a c + b   + (- 2b e + 4c d)\|2 )\|c
+--R      *
+--R          +----------------------------+
+--R          |  +-----------+                           +-+ +-+ +-------+
+--R          |  |          2                           \|2 \|c \|e x + d
+--R         \|e\|- 4a c + b   - b e + 2c d atan(-------------------------------)
+--R                                              +----------------------------+
+--R                                              |  +-----------+
+--R                                              |  |          2
+--R                                             \|e\|- 4a c + b   + b e - 2c d
+--R  /
+--R                                              +----------------------------+
+--R                                +-----------+ |  +-----------+
+--R            2                2  |          2  |  |          2
+--R       (2a e  - 2b d e + 2c d )\|- 4a c + b  \|e\|- 4a c + b   - b e + 2c d
+--R    *
+--R        +----------------------------+
+--R        |  +-----------+
+--R        |  |          2
+--R       \|e\|- 4a c + b   + b e - 2c d
+--R                                                    Type: Expression(Integer)
+--E 364
+
+--S 365 of 512
+d0172:= D(m0172,x)
+--R 
+--R
+--R   (242)  0
+--R                                                    Type: Expression(Integer)
+--E 365
+
+--S 366 of 512
+t0173:= 1/(-2+x)/(2+x)^(1/2)
+--R 
+--R
+--R                 1
+--R   (243)  ---------------
+--R                  +-----+
+--R          (x - 2)\|x + 2
+--R                                                    Type: Expression(Integer)
+--E 366
+
+--S 367 of 512
+r0173:= -atanh(1/2*(2+x)^(1/2))
+--R 
+--R
+--R                   +-----+
+--R                  \|x + 2
+--R   (244)  - atanh(--------)
+--R                      2
+--R                                                    Type: Expression(Integer)
+--E 367
+
+--S 368 of 512
+a0173:= integrate(t0173,x)
+--R 
+--R
+--R                 +-----+             +-----+
+--R          - log(\|x + 2  + 2) + log(\|x + 2  - 2)
+--R   (245)  ---------------------------------------
+--R                             2
+--R                                         Type: Union(Expression(Integer),...)
+--E 368
+
+--S 369 of 512
+m0173:= a0173-r0173
+--R 
+--R
+--R                                                            +-----+
+--R                 +-----+             +-----+               \|x + 2
+--R          - log(\|x + 2  + 2) + log(\|x + 2  - 2) + 2atanh(--------)
+--R                                                               2
+--R   (246)  ----------------------------------------------------------
+--R                                       2
+--R                                                    Type: Expression(Integer)
+--E 369
+
+--S 370 of 512
+d0173:= D(m0173,x)
+--R 
+--R
+--R   (247)  0
+--R                                                    Type: Expression(Integer)
+--E 370
+
+--S 371 of 512
+t0174:= 1/(1+x-(2+x)^(1/2))
+--R 
+--R
+--R                    1
+--R   (248)  - ----------------
+--R             +-----+
+--R            \|x + 2  - x - 1
+--R                                                    Type: Expression(Integer)
+--E 371
+
+--S 372 of 512
+r0174:= 2/5*atanh(1/5*(1-2*(2+x)^(1/2))*5^(1/2))*5^(1/2)+log(-1-x+(2+x)^(1/2))
+--R 
+--R
+--R                                                +-+ +-----+    +-+
+--R                +-----+              +-+      2\|5 \|x + 2  - \|5
+--R          5log(\|x + 2  - x - 1) - 2\|5 atanh(--------------------)
+--R                                                        5
+--R   (249)  ---------------------------------------------------------
+--R                                      5
+--R                                                    Type: Expression(Integer)
+--E 372
+
+--S 373 of 512
+a0174:= integrate(t0174,x)
+--R 
+--R
+--R   (250)
+--R          +-+       +-----+              +-+
+--R       (2\|5  + 10)\|x + 2  + (- 2x - 7)\|5  - 5     +-+       +-----+
+--R   log(-----------------------------------------) + \|5 log(- \|x + 2  + x + 1)
+--R                     +-----+
+--R                    \|x + 2  - x - 1
+--R   ----------------------------------------------------------------------------
+--R                                        +-+
+--R                                       \|5
+--R                                         Type: Union(Expression(Integer),...)
+--E 373
+
+--S 374 of 512
+m0174:= a0174-r0174
+--R 
+--R
+--R   (251)
+--R          +-+     +-----+
+--R       - \|5 log(\|x + 2  - x - 1)
+--R     + 
+--R              +-+       +-----+              +-+
+--R           (2\|5  + 10)\|x + 2  + (- 2x - 7)\|5  - 5
+--R       log(-----------------------------------------)
+--R                         +-----+
+--R                        \|x + 2  - x - 1
+--R     + 
+--R                                              +-+ +-----+    +-+
+--R        +-+       +-----+                   2\|5 \|x + 2  - \|5
+--R       \|5 log(- \|x + 2  + x + 1) + 2atanh(--------------------)
+--R                                                      5
+--R  /
+--R      +-+
+--R     \|5
+--R                                                    Type: Expression(Integer)
+--E 374
+
+--S 375 of 512
+d0174:= D(m0174,x)
+--R 
+--R
+--R   (252)  0
+--R                                                    Type: Expression(Integer)
+--E 375
+
+--S 376 of 512
+t0175:= 1/(x-(1+x)^(1/2))
+--R 
+--R
+--R                  1
+--R   (253)  - ------------
+--R             +-----+
+--R            \|x + 1  - x
+--R                                                    Type: Expression(Integer)
+--E 376
+
+--S 377 of 512
+r0175:= 2/5*atanh(1/5*(1-2*(1+x)^(1/2))*5^(1/2))*5^(1/2)+log(-x+(1+x)^(1/2))
+--R 
+--R
+--R                                            +-+ +-----+    +-+
+--R                +-----+          +-+      2\|5 \|x + 1  - \|5
+--R          5log(\|x + 1  - x) - 2\|5 atanh(--------------------)
+--R                                                    5
+--R   (254)  -----------------------------------------------------
+--R                                    5
+--R                                                    Type: Expression(Integer)
+--E 377
+
+--S 378 of 512
+a0175:= integrate(t0175,x)
+--R 
+--R
+--R   (255)
+--R          +-+       +-----+              +-+
+--R       (2\|5  + 10)\|x + 1  + (- 2x - 5)\|5  - 5     +-+       +-----+
+--R   log(-----------------------------------------) + \|5 log(- \|x + 1  + x)
+--R                       +-----+
+--R                      \|x + 1  - x
+--R   ------------------------------------------------------------------------
+--R                                      +-+
+--R                                     \|5
+--R                                         Type: Union(Expression(Integer),...)
+--E 378
+
+--S 379 of 512
+m0175:= a0175-r0175
+--R 
+--R
+--R   (256)
+--R                                        +-+       +-----+              +-+
+--R          +-+     +-----+            (2\|5  + 10)\|x + 1  + (- 2x - 5)\|5  - 5
+--R       - \|5 log(\|x + 1  - x) + log(-----------------------------------------)
+--R                                                     +-----+
+--R                                                    \|x + 1  - x
+--R     + 
+--R                                          +-+ +-----+    +-+
+--R        +-+       +-----+               2\|5 \|x + 1  - \|5
+--R       \|5 log(- \|x + 1  + x) + 2atanh(--------------------)
+--R                                                  5
+--R  /
+--R      +-+
+--R     \|5
+--R                                                    Type: Expression(Integer)
+--E 379
+
+--S 380 of 512
+d0175:= D(m0175,x)
+--R 
+--R
+--R   (257)  0
+--R                                                    Type: Expression(Integer)
+--E 380
+
+--S 381 of 512
+t0176:= 1/(x-(2+x)^(1/2))
+--R 
+--R
+--R                  1
+--R   (258)  - ------------
+--R             +-----+
+--R            \|x + 2  - x
+--R                                                    Type: Expression(Integer)
+--E 381
+
+--S 382 of 512
+r0176:= 4/3*log(2-(2+x)^(1/2))+2/3*log(1+(2+x)^(1/2))
+--R 
+--R
+--R                +-----+                +-----+
+--R          2log(\|x + 2  + 1) + 4log(- \|x + 2  + 2)
+--R   (259)  -----------------------------------------
+--R                              3
+--R                                                    Type: Expression(Integer)
+--E 382
+
+--S 383 of 512
+a0176:= integrate(t0176,x)
+--R 
+--R
+--R                +-----+              +-----+
+--R          2log(\|x + 2  + 1) + 4log(\|x + 2  - 2)
+--R   (260)  ---------------------------------------
+--R                             3
+--R                                         Type: Union(Expression(Integer),...)
+--E 383
+
+--S 384 of 512
+m0176:= a0176-r0176
+--R 
+--R
+--R                +-----+                +-----+
+--R          4log(\|x + 2  - 2) - 4log(- \|x + 2  + 2)
+--R   (261)  -----------------------------------------
+--R                              3
+--R                                                    Type: Expression(Integer)
+--E 384
+
+--S 385 of 512
+d0176:= D(m0176,x)
+--R 
+--R
+--R   (262)  0
+--R                                                    Type: Expression(Integer)
+--E 385
+
+--S 386 of 512
+t0177:= 1/(x-(1-x)^(1/2))
+--R 
+--R
+--R                   1
+--R   (263)  - --------------
+--R             +-------+
+--R            \|- x + 1  - x
+--R                                                    Type: Expression(Integer)
+--E 386
+
+--S 387 of 512
+r0177:= 2/5*atanh(1/5*(1+2*(1-x)^(1/2))*5^(1/2))*5^(1/2)+log(x-(1-x)^(1/2))
+--R 
+--R
+--R                                                +-+ +-------+    +-+
+--R                  +-------+          +-+      2\|5 \|- x + 1  + \|5
+--R          5log(- \|- x + 1  + x) + 2\|5 atanh(----------------------)
+--R                                                         5
+--R   (264)  -----------------------------------------------------------
+--R                                       5
+--R                                                    Type: Expression(Integer)
+--E 387
+
+--S 388 of 512
+a0177:= integrate(t0177,x)
+--R 
+--R
+--R   (265)
+--R                                    +-+       +-------+              +-+
+--R    +-+     +-------+            (2\|5  + 10)\|- x + 1  + (- 2x + 5)\|5  + 5
+--R   \|5 log(\|- x + 1  - x) + log(-------------------------------------------)
+--R                                                 +-------+
+--R                                                \|- x + 1  - x
+--R   --------------------------------------------------------------------------
+--R                                       +-+
+--R                                      \|5
+--R                                         Type: Union(Expression(Integer),...)
+--E 388
+
+--S 389 of 512
+m0177:= a0177-r0177
+--R 
+--R
+--R   (266)
+--R        +-+     +-------+
+--R       \|5 log(\|- x + 1  - x)
+--R     + 
+--R              +-+       +-------+              +-+
+--R           (2\|5  + 10)\|- x + 1  + (- 2x + 5)\|5  + 5
+--R       log(-------------------------------------------)
+--R                           +-------+
+--R                          \|- x + 1  - x
+--R     + 
+--R                                              +-+ +-------+    +-+
+--R          +-+       +-------+               2\|5 \|- x + 1  + \|5
+--R       - \|5 log(- \|- x + 1  + x) - 2atanh(----------------------)
+--R                                                       5
+--R  /
+--R      +-+
+--R     \|5
+--R                                                    Type: Expression(Integer)
+--E 389
+
+--S 390 of 512
+d0177:= D(m0177,x)
+--R 
+--R
+--R   (267)  0
+--R                                                    Type: Expression(Integer)
+--E 390
+
+--S 391 of 512
+t0178:= 1/(4+(4-x)^(1/2)-x)
+--R 
+--R
+--R                   1
+--R   (268)  ------------------
+--R           +-------+
+--R          \|- x + 4  - x + 4
+--R                                                    Type: Expression(Integer)
+--E 391
+
+--S 392 of 512
+r0178:= -2*log(1+(4-x)^(1/2))
+--R 
+--R
+--R                  +-------+
+--R   (269)  - 2log(\|- x + 4  + 1)
+--R                                                    Type: Expression(Integer)
+--E 392
+
+--S 393 of 512
+a0178:= integrate(t0178,x)
+--R 
+--R
+--R                  +-------+
+--R   (270)  - 2log(\|- x + 4  + 1)
+--R                                         Type: Union(Expression(Integer),...)
+--E 393
+
+--S 394 of 512
+m0178:= a0178-r0178
+--R 
+--R
+--R   (271)  0
+--R                                                    Type: Expression(Integer)
+--E 394
+
+--S 395 of 512
+d0178:= D(m0178,x)
+--R 
+--R
+--R   (272)  0
+--R                                                    Type: Expression(Integer)
+--E 395
+
+--S 396 of 512
+t0179:= ((1-x)^(1/2)+(1+x)^(1/2))*(1-x)^(1/2)
+--R 
+--R
+--R           +-------+ +-----+
+--R   (273)  \|- x + 1 \|x + 1  - x + 1
+--R                                                    Type: Expression(Integer)
+--E 396
+
+--S 397 of 512
+r0179:= x-1/2*x^2+1/2*x*(1-x^2)^(1/2)+1/2*asin(x)
+--R 
+--R
+--R            +--------+
+--R            |   2                   2
+--R          x\|- x  + 1  + asin(x) - x  + 2x
+--R   (274)  --------------------------------
+--R                          2
+--R                                                    Type: Expression(Integer)
+--E 397
+
+--S 398 of 512
+--a0179:= integrate(t0179,x)
+--E 398
+
+--S 399 of 512
+--m0179:= a0179-r0179
+--E 399
+
+--S 400 of 512
+--d0179:= D(m0179,x)
+--E 400
+
+--S 401 of 512
+t0180:= ((1-x)^(1/2)+(1+x)^(1/2))^2
+--R 
+--R
+--R            +-------+ +-----+
+--R   (275)  2\|- x + 1 \|x + 1  + 2
+--R                                                    Type: Expression(Integer)
+--E 401
+
+--S 402 of 512
+r0180:= 2*x+x*(1-x^2)^(1/2)+asin(x)
+--R 
+--R
+--R            +--------+
+--R            |   2
+--R   (276)  x\|- x  + 1  + asin(x) + 2x
+--R                                                    Type: Expression(Integer)
+--E 402
+
+--S 403 of 512
+--a0180:= integrate(t0180,x)
+--E 403
+
+--S 404 of 512
+--m0180:= a0180-r0180
+--E 404
+
+--S 405 of 512
+--d0180:= D(m0180,x)
+--E 405
+
+--S 406 of 512
+t0181:= (-(1-x)^(1/2)-(1+x)^(1/2))*((1-x)^(1/2)+(1+x)^(1/2))
+--R 
+--R
+--R              +-------+ +-----+
+--R   (277)  - 2\|- x + 1 \|x + 1  - 2
+--R                                                    Type: Expression(Integer)
+--E 406
+
+--S 407 of 512
+r0181:= -2*x-x*(1-x^2)^(1/2)-asin(x)
+--R 
+--R
+--R              +--------+
+--R              |   2
+--R   (278)  - x\|- x  + 1  - asin(x) - 2x
+--R                                                    Type: Expression(Integer)
+--E 407
+
+--S 408 of 512
+--a0181:= integrate(t0181,x)
+--E 408
+
+--S 409 of 512
+--m0181:= a0181-r0181
+--E 409
+
+--S 410 of 512
+--d0181:= D(m0181,x)
+--E 410
+
+--S 411 of 512
+t0182:= ((1-x)^(1/2)+(1+x)^(1/2))^2/x
+--R 
+--R
+--R            +-------+ +-----+
+--R          2\|- x + 1 \|x + 1  + 2
+--R   (279)  -----------------------
+--R                     x
+--R                                                    Type: Expression(Integer)
+--E 411
+
+--S 412 of 512
+r0182:= 2*(1-x^2)^(1/2)-2*atanh((1-x^2)^(1/2))+2*log(x)
+--R 
+--R
+--R                    +--------+      +--------+
+--R                    |   2           |   2
+--R   (280)  - 2atanh(\|- x  + 1 ) + 2\|- x  + 1  + 2log(x)
+--R                                                    Type: Expression(Integer)
+--E 412
+
+ 
+--                    +-------+ +-----+
+--                 - \|- x + 1 \|x + 1  - 1      +-------+ +-----+
+--   (281)  - 2log(------------------------) + 2\|- x + 1 \|x + 1
+--                             2
+--                            x
+--                                         Type: Union(Expression(Integer),...)
+
+--S 413 of 512 ok to fail due to sign changes (see above)
+a0182:= integrate(t0182,x)
+--R 
+--R
+--R                  +-------+ +-----+
+--R                 \|- x + 1 \|x + 1  + 1      +-------+ +-----+
+--R   (281)  - 2log(----------------------) + 2\|- x + 1 \|x + 1
+--R                            2
+--R                           x
+--R                                         Type: Union(Expression(Integer),...)
+--E 413
+
+--S 414 of 512 ok to fail due to sign changes (see above)
+m0182:= a0182-r0182
+--R 
+--R
+--R   (282)
+--R             +-------+ +-----+                +--------+
+--R            \|- x + 1 \|x + 1  + 1            |   2           +-------+ +-----+
+--R     - 2log(----------------------) + 2atanh(\|- x  + 1 ) + 2\|- x + 1 \|x + 1
+--R                       2
+--R                      x
+--R   + 
+--R         +--------+
+--R         |   2
+--R     - 2\|- x  + 1  - 2log(x)
+--R                                                    Type: Expression(Integer)
+--E 414
+
+--S 415 of 512
+d0182:= D(m0182,x)
+--R 
+--R
+--R   (283)
+--R      +--------+                                            +--------+
+--R      |   2          2      +-------+ +-----+        2      |   2          2
+--R   (2\|- x  + 1  + 2x  - 2)\|- x + 1 \|x + 1  + (- 2x  + 2)\|- x  + 1  + 2x  - 2
+--R   -----------------------------------------------------------------------------
+--R                     +--------+                       +--------+
+--R                     |   2      +-------+ +-----+     |   2
+--R                   x\|- x  + 1 \|- x + 1 \|x + 1  + x\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 415
+
+--S 416 of 512
+t0183:= (-(1-x)^(1/2)-(1+x)^(1/2))*((1-x)^(1/2)+(1+x)^(1/2))/x
+--R 
+--R
+--R              +-------+ +-----+
+--R          - 2\|- x + 1 \|x + 1  - 2
+--R   (284)  -------------------------
+--R                      x
+--R                                                    Type: Expression(Integer)
+--E 416
+
+--S 417 of 512
+r0183:= -2*(1-x^2)^(1/2)+2*atanh((1-x^2)^(1/2))-2*log(x)
+--R 
+--R
+--R                  +--------+      +--------+
+--R                  |   2           |   2
+--R   (285)  2atanh(\|- x  + 1 ) - 2\|- x  + 1  - 2log(x)
+--R                                                    Type: Expression(Integer)
+--E 417
+
+--S 418 of 512
+a0183:= integrate(t0183,x)
+--R 
+--R
+--R                  +-------+ +-----+          +-------+ +-----+
+--R   (286)  - 2log(\|- x + 1 \|x + 1  - 1) - 2\|- x + 1 \|x + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 418
+
+--S 419 of 512
+m0183:= a0183-r0183
+--R 
+--R
+--R   (287)
+--R                                              +--------+
+--R             +-------+ +-----+                |   2           +-------+ +-----+
+--R     - 2log(\|- x + 1 \|x + 1  - 1) - 2atanh(\|- x  + 1 ) - 2\|- x + 1 \|x + 1
+--R   + 
+--R       +--------+
+--R       |   2
+--R     2\|- x  + 1  + 2log(x)
+--R                                                    Type: Expression(Integer)
+--E 419
+
+--S 420 of 512
+d0183:= D(m0183,x)
+--R 
+--R
+--R   (288)
+--R      +--------+                                          +--------+
+--R      |   2          2      +-------+ +-----+      2      |   2          2
+--R   (2\|- x  + 1  - 2x  + 2)\|- x + 1 \|x + 1  + (2x  - 2)\|- x  + 1  + 2x  - 2
+--R   ---------------------------------------------------------------------------
+--R                    +--------+                       +--------+
+--R                    |   2      +-------+ +-----+     |   2
+--R                  x\|- x  + 1 \|- x + 1 \|x + 1  - x\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 420
+
+--S 421 of 512
+t0184:= ((1-x)^(1/2)+(1+x)^(1/2))/(-(1-x)^(1/2)+(1+x)^(1/2))
+--R 
+--R
+--R           +-----+    +-------+
+--R          \|x + 1  + \|- x + 1
+--R   (289)  ---------------------
+--R           +-----+    +-------+
+--R          \|x + 1  - \|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 421
+
+--S 422 of 512
+r0184:= (1-x^2)^(1/2)-atanh((1-x^2)^(1/2))+log(x)
+--R 
+--R
+--R                   +--------+     +--------+
+--R                   |   2          |   2
+--R   (290)  - atanh(\|- x  + 1 ) + \|- x  + 1  + log(x)
+--R                                                    Type: Expression(Integer)
+--E 422
+
+ 
+
+--                   +-------+ +-----+
+--                - \|- x + 1 \|x + 1  - 1     +-------+ +-----+
+--   (291)  - log(------------------------) + \|- x + 1 \|x + 1
+--                            2
+--                           x
+--                                         Type: Union(Expression(Integer),...)
+
+--S 423 of 512 ok to fail. seems there are 2 answers (see above)
+a0184:= integrate(t0184,x)
+--R 
+--R
+--R                 +-------+ +-----+
+--R                \|- x + 1 \|x + 1  + 1     +-------+ +-----+
+--R   (291)  - log(----------------------) + \|- x + 1 \|x + 1
+--R                           2
+--R                          x
+--R                                         Type: Union(Expression(Integer),...)
+--E 423
+
+--S 424 of 512 ok to fail. due to 2 answers (see above)
+m0184:= a0184-r0184
+--R 
+--R
+--R   (292)
+--R            +-------+ +-----+               +--------+
+--R           \|- x + 1 \|x + 1  + 1           |   2          +-------+ +-----+
+--R     - log(----------------------) + atanh(\|- x  + 1 ) + \|- x + 1 \|x + 1
+--R                      2
+--R                     x
+--R   + 
+--R        +--------+
+--R        |   2
+--R     - \|- x  + 1  - log(x)
+--R                                                    Type: Expression(Integer)
+--E 424
+
+--S 425 of 512
+d0184:= D(m0184,x)
+--R 
+--R
+--R   (293)
+--R     +--------+                                          +--------+
+--R     |   2         2      +-------+ +-----+       2      |   2         2
+--R   (\|- x  + 1  + x  - 1)\|- x + 1 \|x + 1  + (- x  + 1)\|- x  + 1  + x  - 1
+--R   -------------------------------------------------------------------------
+--R                   +--------+                       +--------+
+--R                   |   2      +-------+ +-----+     |   2
+--R                 x\|- x  + 1 \|- x + 1 \|x + 1  + x\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 425
+
+--S 426 of 512
+t0185:= (-(-1+x)^(1/2)+(1+x)^(1/2))/((-1+x)^(1/2)+(1+x)^(1/2))
+--R 
+--R
+--R           +-----+    +-----+
+--R          \|x + 1  - \|x - 1
+--R   (294)  -------------------
+--R           +-----+    +-----+
+--R          \|x + 1  + \|x - 1
+--R                                                    Type: Expression(Integer)
+--E 426
+
+--S 427 of 512
+r0185:= 1/2*x^2-1/2*(-1+x)^(1/2)*x*(1+x)^(1/2)+1/2*acosh(x)
+--R 
+--R
+--R              +-----+ +-----+               2
+--R          - x\|x - 1 \|x + 1  + acosh(x) + x
+--R   (295)  -----------------------------------
+--R                           2
+--R                                                    Type: Expression(Integer)
+--E 427
+
+ 
+
+--                   +-----+ +-----+          +-----+ +-----+    2
+--          - log(- \|x - 1 \|x + 1  + x) - x\|x - 1 \|x + 1  + x
+--   (296)  ------------------------------------------------------
+--                                     2
+--                                         Type: Union(Expression(Integer),...)
+
+--S 428 of 512 ok to fail. seems there are 2 answers (see above)
+a0185:= integrate(t0185,x)
+--R 
+--R
+--R                 +-----+ +-----+          +-----+ +-----+    2
+--R          - log(\|x - 1 \|x + 1  - x) - x\|x - 1 \|x + 1  + x
+--R   (296)  ----------------------------------------------------
+--R                                    2
+--R                                         Type: Union(Expression(Integer),...)
+--E 428
+
+--S 429 of 512 ok to fail. due to 2 answers (see above)
+m0185:= a0185-r0185
+--R 
+--R
+--R                 +-----+ +-----+
+--R          - log(\|x - 1 \|x + 1  - x) - acosh(x)
+--R   (297)  --------------------------------------
+--R                             2
+--R                                                    Type: Expression(Integer)
+--E 429
+
+--S 430 of 512
+d0185:= D(m0185,x)
+--R 
+--R
+--R           +------+
+--R           | 2         +-----+ +-----+
+--R          \|x  - 1  - \|x - 1 \|x + 1
+--R   (298)  ----------------------------
+--R                             +------+
+--R             +-----+ +-----+ | 2
+--R           2\|x - 1 \|x + 1 \|x  - 1
+--R                                                    Type: Expression(Integer)
+--E 430
+
+--S 431 of 512
+t0186:= (2*(3-x)^(1/2)+3/(1+x)^(1/2))^2/x
+--R 
+--R
+--R             +-------+ +-----+     2
+--R          12\|- x + 3 \|x + 1  - 4x  + 8x + 21
+--R   (299)  ------------------------------------
+--R                          2
+--R                         x  + x
+--R                                                    Type: Expression(Integer)
+--E 431
+
+--S 432 of 512
+r0186:= -4*x-12*asin(-1/2+1/2*x)-24*3^(1/2)*_
+        atanh(1/3*(3-x)^(1/2)*3^(1/2)/(1+x)^(1/2))+21*log(x)-9*log(1+x)
+--R 
+--R
+--R   (300)
+--R                  +-+ +-------+
+--R        +-+      \|3 \|- x + 3                                     x - 1
+--R   - 24\|3 atanh(--------------) - 9log(x + 1) + 21log(x) - 12asin(-----) - 4x
+--R                      +-----+                                        2
+--R                    3\|x + 1
+--R                                                    Type: Expression(Integer)
+--E 432
+
+--S 433 of 512
+--a0186:= integrate(t0186,x)
+--E 433
+
+--S 434 of 512
+--m0186:= a0186-r0186
+--E 434
+
+--S 435 of 512
+--d0186:= D(m0186,x)
+--   >> Error detected within library code:
+--   integrate: 
+--    implementation incomplete (residue poly has multiple non-linear factors)
+--E 435
+
+--S 436 of 512
+t0187:= (1-x)^(1/2)/(1+x^(1/2))
+--R 
+--R
+--R           +-------+
+--R          \|- x + 1
+--R   (301)  ----------
+--R            +-+
+--R           \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 436
+
+--S 437 of 512
+r0187:= -2*(1-x)^(1/2)+(1-x)^(1/2)*x^(1/2)-asin(x^(1/2))
+--R 
+--R
+--R                  +-+     +-------+ +-+     +-------+
+--R   (302)  - asin(\|x ) + \|- x + 1 \|x  - 2\|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 437
+
+--S 438 of 512
+--a0187:= integrate(t0187,x)
+--E 438
+
+--S 439 of 512
+--m0187:= a0187-r0187
+--E 439
+
+--S 440 of 512
+--d0187:= D(m0187,x)
+--E 440
+
+--S 441 of 512
+t0188:= (1-x)^(1/2)/(1-x^(1/2))
+--R 
+--R
+--R             +-------+
+--R            \|- x + 1
+--R   (303)  - ----------
+--R              +-+
+--R             \|x  - 1
+--R                                                    Type: Expression(Integer)
+--E 441
+
+--S 442 of 512
+r0188:= -2*(1-x)^(1/2)-(1-x)^(1/2)*x^(1/2)+asin(x^(1/2))
+--R 
+--R
+--R                +-+     +-------+ +-+     +-------+
+--R   (304)  asin(\|x ) - \|- x + 1 \|x  - 2\|- x + 1
+--R                                                    Type: Expression(Integer)
+--E 442
+
+--S 443 of 512
+--a0188:= integrate(t0188,x)
+--E 443
+
+--S 444 of 512
+--m0188:= a0188-r0188
+--E 444
+
+--S 445 of 512
+--d0188:= D(m0188,x)
+--E 445
+
+--S 446 of 512
+t0189:= x/(1+x)/(2+x)^(1/2)
+--R 
+--R
+--R                 x
+--R   (305)  ---------------
+--R                  +-----+
+--R          (x + 1)\|x + 2
+--R                                                    Type: Expression(Integer)
+--E 446
+
+--S 447 of 512
+r0189:= 2*(2+x)^(1/2)+2*atanh((2+x)^(1/2))
+--R 
+--R
+--R                  +-----+      +-----+
+--R   (306)  2atanh(\|x + 2 ) + 2\|x + 2
+--R                                                    Type: Expression(Integer)
+--E 447
+
+--S 448 of 512
+a0189:= integrate(t0189,x)
+--R 
+--R
+--R               +-----+             +-----+          +-----+
+--R   (307)  log(\|x + 2  + 1) - log(\|x + 2  - 1) + 2\|x + 2
+--R                                         Type: Union(Expression(Integer),...)
+--E 448
+
+--S 449 of 512
+m0189:= a0189-r0189
+--R 
+--R
+--R               +-----+             +-----+                +-----+
+--R   (308)  log(\|x + 2  + 1) - log(\|x + 2  - 1) - 2atanh(\|x + 2 )
+--R                                                    Type: Expression(Integer)
+--E 449
+
+--S 450 of 512
+d0189:= D(m0189,x)
+--R 
+--R
+--R   (309)  0
+--R                                                    Type: Expression(Integer)
+--E 450
+
+--S 451 of 512
+t0190:= (1+x^2)^(1/2)/(-1+x^2)
+--R 
+--R
+--R           +------+
+--R           | 2
+--R          \|x  + 1
+--R   (310)  ---------
+--R             2
+--R            x  - 1
+--R                                                    Type: Expression(Integer)
+--E 451
+
+--S 452 of 512
+r0190:= asinh(x)-2^(1/2)*atanh(2^(1/2)*x/(1+x^2)^(1/2))
+--R 
+--R
+--R                          +-+
+--R             +-+        x\|2
+--R   (311)  - \|2 atanh(---------) + asinh(x)
+--R                       +------+
+--R                       | 2
+--R                      \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 452
+
+--S 453 of 512
+a0190:= integrate(t0190,x)
+--R 
+--R
+--R   (312)
+--R               +------+
+--R               | 2
+--R       - 2log(\|x  + 1  - x)
+--R     + 
+--R                                   +------+
+--R                   +-+     3       | 2             2      +-+     4    2
+--R        +-+    (2x\|2  + 2x  - 2x)\|x  + 1  + (- 2x  + 2)\|2  - 2x  + x  - 3
+--R       \|2 log(-------------------------------------------------------------)
+--R                                        +------+
+--R                                3       | 2          4    2
+--R                             (2x  - 2x)\|x  + 1  - 2x  + x  + 1
+--R  /
+--R     2
+--R                                         Type: Union(Expression(Integer),...)
+--E 453
+
+--S 454 of 512
+m0190:= a0190-r0190
+--R 
+--R
+--R   (313)
+--R               +------+
+--R               | 2
+--R       - 2log(\|x  + 1  - x)
+--R     + 
+--R                                   +------+
+--R                   +-+     3       | 2             2      +-+     4    2
+--R        +-+    (2x\|2  + 2x  - 2x)\|x  + 1  + (- 2x  + 2)\|2  - 2x  + x  - 3
+--R       \|2 log(-------------------------------------------------------------)
+--R                                        +------+
+--R                                3       | 2          4    2
+--R                             (2x  - 2x)\|x  + 1  - 2x  + x  + 1
+--R     + 
+--R                      +-+
+--R         +-+        x\|2
+--R       2\|2 atanh(---------) - 2asinh(x)
+--R                   +------+
+--R                   | 2
+--R                  \|x  + 1
+--R  /
+--R     2
+--R                                                    Type: Expression(Integer)
+--E 454
+
+--S 455 of 512
+d0190:= D(m0190,x)
+--R 
+--R
+--R   (314)  0
+--R                                                    Type: Expression(Integer)
+--E 455
+
+--S 456 of 512
+t0191:= (1+x)^(1/2)*(1+x^3)/(1+x^2)
+--R 
+--R
+--R            3      +-----+
+--R          (x  + 1)\|x + 1
+--R   (315)  ----------------
+--R                2
+--R               x  + 1
+--R                                                    Type: Expression(Integer)
+--E 456
+
+--S 457 of 512
+r0191:= -2*(1+x)^(1/2)-2/3*(1+x)^(3/2)+2/5*(1+x)^(5/2)-_
+        atan(((2+2*2^(1/2))^(1/2)-2*(1+x)^(1/2))/_
+        (-2+2*2^(1/2))^(1/2))/(2^(1/2)-1)^(1/2)+_
+        atan(((2+2*2^(1/2))^(1/2)+2*(1+x)^(1/2))/_
+        (-2+2*2^(1/2))^(1/2))/(2^(1/2)-1)^(1/2)-_
+        1/2*log(1+2^(1/2)+x-(2+2*2^(1/2))^(1/2)*(1+x)^(1/2))/_
+        (1+2^(1/2))^(1/2)+1/2*log(1+2^(1/2)+x+_
+        (2+2*2^(1/2))^(1/2)*(1+x)^(1/2))/(1+2^(1/2))^(1/2)
+--R 
+--R
+--R   (316)
+--R          +--------+             +---------+
+--R          | +-+          +-----+ |  +-+         +-+
+--R       15\|\|2  - 1 log(\|x + 1 \|2\|2  + 2  + \|2  + x + 1)
+--R     + 
+--R            +--------+               +---------+
+--R            | +-+            +-----+ |  +-+         +-+
+--R       - 15\|\|2  - 1 log(- \|x + 1 \|2\|2  + 2  + \|2  + x + 1)
+--R     + 
+--R                          +---------+
+--R          +--------+      |  +-+          +-----+
+--R          | +-+          \|2\|2  + 2  + 2\|x + 1
+--R       30\|\|2  + 1 atan(------------------------)
+--R                                +---------+
+--R                                |  +-+
+--R                               \|2\|2  - 2
+--R     + 
+--R                            +---------+
+--R            +--------+      |  +-+          +-----+
+--R            | +-+          \|2\|2  + 2  - 2\|x + 1
+--R       - 30\|\|2  + 1 atan(------------------------)
+--R                                  +---------+
+--R                                  |  +-+
+--R                                 \|2\|2  - 2
+--R     + 
+--R                                +--------+ +--------+
+--R           2            +-----+ | +-+      | +-+
+--R       (12x  + 4x - 68)\|x + 1 \|\|2  - 1 \|\|2  + 1
+--R  /
+--R        +--------+ +--------+
+--R        | +-+      | +-+
+--R     30\|\|2  - 1 \|\|2  + 1
+--R                                                    Type: Expression(Integer)
+--E 457
+
+--S 458 of 512
+a0191:= integrate(t0191,x)
+--R 
+--R
+--R   (317)
+--R       -
+--R              4+-+    %pi
+--R            15\|8 cos(---)
+--R                       8
+--R         *
+--R            log
+--R                   4+-+    %pi     4+-+    %pi   +-----+   4+-+2    %pi 2
+--R                 (2\|8 sin(---) - 2\|8 cos(---))\|x + 1  + \|8  sin(---)
+--R                            8               8                        8
+--R               + 
+--R                 4+-+2    %pi 2
+--R                 \|8  cos(---)  + 2x + 2
+--R                           8
+--R     + 
+--R           4+-+    %pi
+--R         15\|8 cos(---)
+--R                    8
+--R      *
+--R         log
+--R                  4+-+    %pi     4+-+    %pi   +-----+   4+-+2    %pi 2
+--R              (- 2\|8 sin(---) + 2\|8 cos(---))\|x + 1  + \|8  sin(---)
+--R                           8               8                        8
+--R            + 
+--R              4+-+2    %pi 2
+--R              \|8  cos(---)  + 2x + 2
+--R                        8
+--R     + 
+--R                                  4+-+    %pi    4+-+    %pi
+--R                                  \|8 sin(---) + \|8 cos(---)
+--R           4+-+    %pi                     8              8
+--R       - 30\|8 sin(---)atan(---------------------------------------)
+--R                    8         +-----+   4+-+    %pi    4+-+    %pi
+--R                            2\|x + 1  - \|8 sin(---) + \|8 cos(---)
+--R                                                 8              8
+--R     + 
+--R                                  4+-+    %pi    4+-+    %pi
+--R                                  \|8 sin(---) + \|8 cos(---)
+--R           4+-+    %pi                     8              8
+--R       - 30\|8 sin(---)atan(---------------------------------------)
+--R                    8         +-----+   4+-+    %pi    4+-+    %pi
+--R                            2\|x + 1  + \|8 sin(---) - \|8 cos(---)
+--R                                                 8              8
+--R     + 
+--R           2            +-----+
+--R       (12x  + 4x - 68)\|x + 1
+--R  /
+--R     30
+--R                                         Type: Union(Expression(Integer),...)
+--E 458
+
+--S 459 of 512
+m0191:= a0191-r0191
+--R 
+--R
+--R   (318)
+--R          +--------+             +---------+
+--R          | +-+          +-----+ |  +-+         +-+
+--R       - \|\|2  - 1 log(\|x + 1 \|2\|2  + 2  + \|2  + x + 1)
+--R     + 
+--R       -
+--R                         +--------+ +--------+
+--R            4+-+    %pi  | +-+      | +-+
+--R            \|8 cos(---)\|\|2  - 1 \|\|2  + 1
+--R                     8
+--R         *
+--R            log
+--R                   4+-+    %pi     4+-+    %pi   +-----+   4+-+2    %pi 2
+--R                 (2\|8 sin(---) - 2\|8 cos(---))\|x + 1  + \|8  sin(---)
+--R                            8               8                        8
+--R               + 
+--R                 4+-+2    %pi 2
+--R                 \|8  cos(---)  + 2x + 2
+--R                           8
+--R     + 
+--R                      +--------+ +--------+
+--R         4+-+    %pi  | +-+      | +-+
+--R         \|8 cos(---)\|\|2  - 1 \|\|2  + 1
+--R                  8
+--R      *
+--R         log
+--R                  4+-+    %pi     4+-+    %pi   +-----+   4+-+2    %pi 2
+--R              (- 2\|8 sin(---) + 2\|8 cos(---))\|x + 1  + \|8  sin(---)
+--R                           8               8                        8
+--R            + 
+--R              4+-+2    %pi 2
+--R              \|8  cos(---)  + 2x + 2
+--R                        8
+--R     + 
+--R        +--------+               +---------+
+--R        | +-+            +-----+ |  +-+         +-+
+--R       \|\|2  - 1 log(- \|x + 1 \|2\|2  + 2  + \|2  + x + 1)
+--R     + 
+--R                           +---------+
+--R           +--------+      |  +-+          +-----+
+--R           | +-+          \|2\|2  + 2  + 2\|x + 1
+--R       - 2\|\|2  + 1 atan(------------------------)
+--R                                 +---------+
+--R                                 |  +-+
+--R                                \|2\|2  - 2
+--R     + 
+--R                         +---------+
+--R         +--------+      |  +-+          +-----+
+--R         | +-+          \|2\|2  + 2  - 2\|x + 1
+--R       2\|\|2  + 1 atan(------------------------)
+--R                               +---------+
+--R                               |  +-+
+--R                              \|2\|2  - 2
+--R     + 
+--R       -
+--R                          +--------+ +--------+
+--R             4+-+    %pi  | +-+      | +-+
+--R            2\|8 sin(---)\|\|2  - 1 \|\|2  + 1
+--R                      8
+--R         *
+--R                       4+-+    %pi    4+-+    %pi
+--R                       \|8 sin(---) + \|8 cos(---)
+--R                                8              8
+--R            atan(---------------------------------------)
+--R                   +-----+   4+-+    %pi    4+-+    %pi
+--R                 2\|x + 1  - \|8 sin(---) + \|8 cos(---)
+--R                                      8              8
+--R     + 
+--R       -
+--R                          +--------+ +--------+
+--R             4+-+    %pi  | +-+      | +-+
+--R            2\|8 sin(---)\|\|2  - 1 \|\|2  + 1
+--R                      8
+--R         *
+--R                       4+-+    %pi    4+-+    %pi
+--R                       \|8 sin(---) + \|8 cos(---)
+--R                                8              8
+--R            atan(---------------------------------------)
+--R                   +-----+   4+-+    %pi    4+-+    %pi
+--R                 2\|x + 1  + \|8 sin(---) - \|8 cos(---)
+--R                                      8              8
+--R  /
+--R       +--------+ +--------+
+--R       | +-+      | +-+
+--R     2\|\|2  - 1 \|\|2  + 1
+--R                                                    Type: Expression(Integer)
+--E 459
+
+--S 460 of 512
+d0191:= D(m0191,x)
+--R 
+--R
+--R   (319)
+--R                     +-+               %pi 12
+--R           ((4x + 8)\|2  - 4x - 12)sin(---)
+--R                                        8
+--R         + 
+--R                         +-+                %pi     %pi 11
+--R           ((- 16x - 32)\|2  + 16x + 48)cos(---)sin(---)
+--R                                             8       8
+--R         + 
+--R                           +-+                 %pi 2
+--R               ((40x + 80)\|2  - 40x - 120)cos(---)
+--R                                                8
+--R             + 
+--R                     2            +-+     2            4+-+2
+--R               ((- 4x  - 12x - 8)\|2  + 4x  + 16x + 12)\|8
+--R          *
+--R                 %pi 10
+--R             sin(---)
+--R                  8
+--R         + 
+--R                              +-+                 %pi 3
+--R               ((- 80x - 160)\|2  + 80x + 240)cos(---)
+--R                                                   8
+--R             + 
+--R                    2             +-+      2            4+-+2    %pi
+--R               ((16x  + 48x + 32)\|2  - 16x  - 64x - 48)\|8  cos(---)
+--R                                                                  8
+--R          *
+--R                 %pi 9
+--R             sin(---)
+--R                  8
+--R         + 
+--R                             +-+                  %pi 4
+--R               ((124x + 248)\|2  - 124x - 372)cos(---)
+--R                                                   8
+--R             + 
+--R                      2               +-+      2              4+-+2    %pi 2
+--R               ((- 52x  - 156x - 104)\|2  + 52x  + 208x + 156)\|8  cos(---)
+--R                                                                        8
+--R             + 
+--R                   3      2             +-+      3      2
+--R               (12x  + 48x  + 60x + 24)\|2  - 12x  - 60x  - 84x - 36
+--R          *
+--R                 %pi 8
+--R             sin(---)
+--R                  8
+--R         + 
+--R                               +-+                  %pi 5
+--R               ((- 160x - 320)\|2  + 160x + 480)cos(---)
+--R                                                     8
+--R             + 
+--R                    2               +-+      2              4+-+2    %pi 3
+--R               ((96x  + 288x + 192)\|2  - 96x  - 384x - 288)\|8  cos(---)
+--R                                                                      8
+--R             + 
+--R                        3       2               +-+      3       2
+--R                 ((- 80x  - 320x  - 400x - 160)\|2  + 80x  + 400x  + 560x + 240)
+--R              *
+--R                     %pi
+--R                 cos(---)
+--R                      8
+--R          *
+--R                 %pi 7
+--R             sin(---)
+--R                  8
+--R         + 
+--R                             +-+                  %pi 6
+--R               ((176x + 352)\|2  - 176x - 528)cos(---)
+--R                                                   8
+--R             + 
+--R                       2               +-+       2              4+-+2    %pi 4
+--R               ((- 136x  - 408x - 272)\|2  + 136x  + 544x + 408)\|8  cos(---)
+--R                                                                          8
+--R             + 
+--R                        3       2                +-+       3        2
+--R                   (224x  + 896x  + 1120x + 448)\|2  - 224x  - 1120x  - 1568x
+--R                 + 
+--R                   - 672
+--R              *
+--R                     %pi 2
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                        4      3      2            +-+     4      3      2
+--R                   (- 4x  - 20x  - 36x  - 28x - 8)\|2  + 4x  + 24x  + 48x  + 40x
+--R                 + 
+--R                   12
+--R              *
+--R                 4+-+2
+--R                 \|8
+--R          *
+--R                 %pi 6
+--R             sin(---)
+--R                  8
+--R         + 
+--R                               +-+                  %pi 7
+--R               ((- 160x - 320)\|2  + 160x + 480)cos(---)
+--R                                                     8
+--R             + 
+--R                     2               +-+       2              4+-+2    %pi 5
+--R               ((160x  + 480x + 320)\|2  - 160x  - 640x - 480)\|8  cos(---)
+--R                                                                        8
+--R             + 
+--R                          3        2                +-+       3        2
+--R                   (- 368x  - 1472x  - 1840x - 736)\|2  + 368x  + 1840x  + 2576x
+--R                 + 
+--R                   1104
+--R              *
+--R                     %pi 3
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                       4       3       2              +-+      4       3       2
+--R                   (28x  + 140x  + 252x  + 196x + 56)\|2  - 28x  - 168x  - 336x
+--R                 + 
+--R                   - 280x - 84
+--R              *
+--R                 4+-+2    %pi
+--R                 \|8  cos(---)
+--R                           8
+--R          *
+--R                 %pi 5
+--R             sin(---)
+--R                  8
+--R         + 
+--R                             +-+                  %pi 8
+--R               ((124x + 248)\|2  - 124x - 372)cos(---)
+--R                                                   8
+--R             + 
+--R                       2               +-+       2              4+-+2    %pi 6
+--R               ((- 136x  - 408x - 272)\|2  + 136x  + 544x + 408)\|8  cos(---)
+--R                                                                          8
+--R             + 
+--R                        3        2                 +-+       3        2
+--R                   (552x  + 2208x  + 2760x + 1104)\|2  - 552x  - 2760x  - 3864x
+--R                 + 
+--R                   - 1656
+--R              *
+--R                     %pi 4
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                         4       3       2               +-+      4       3
+--R                   (- 60x  - 300x  - 540x  - 420x - 120)\|2  + 60x  + 360x
+--R                 + 
+--R                       2
+--R                   720x  + 600x + 180
+--R              *
+--R                 4+-+2    %pi 2
+--R                 \|8  cos(---)
+--R                           8
+--R             + 
+--R                  5      4       3       2             +-+     5      4       3
+--R               (9x  + 54x  + 126x  + 144x  + 81x + 18)\|2  - 9x  - 63x  - 162x
+--R             + 
+--R                     2
+--R               - 198x  - 117x - 27
+--R          *
+--R                 %pi 4
+--R             sin(---)
+--R                  8
+--R         + 
+--R                              +-+                 %pi 9
+--R               ((- 80x - 160)\|2  + 80x + 240)cos(---)
+--R                                                   8
+--R             + 
+--R                    2               +-+      2              4+-+2    %pi 7
+--R               ((96x  + 288x + 192)\|2  - 96x  - 384x - 288)\|8  cos(---)
+--R                                                                      8
+--R             + 
+--R                          3        2                +-+       3        2
+--R                   (- 368x  - 1472x  - 1840x - 736)\|2  + 368x  + 1840x  + 2576x
+--R                 + 
+--R                   1104
+--R              *
+--R                     %pi 5
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                        4       3        2               +-+       4       3
+--R                   (136x  + 680x  + 1224x  + 952x + 272)\|2  - 136x  - 816x
+--R                 + 
+--R                          2
+--R                   - 1632x  - 1360x - 408
+--R              *
+--R                 4+-+2    %pi 3
+--R                 \|8  cos(---)
+--R                           8
+--R             + 
+--R                         5       4       3       2              +-+      5
+--R                   (- 36x  - 216x  - 504x  - 576x  - 324x - 72)\|2  + 36x
+--R                 + 
+--R                       4       3       2
+--R                   252x  + 648x  + 792x  + 468x + 108
+--R              *
+--R                     %pi
+--R                 cos(---)
+--R                      8
+--R          *
+--R                 %pi 3
+--R             sin(---)
+--R                  8
+--R         + 
+--R                           +-+                 %pi 10
+--R               ((40x + 80)\|2  - 40x - 120)cos(---)
+--R                                                8
+--R             + 
+--R                      2               +-+      2              4+-+2    %pi 8
+--R               ((- 52x  - 156x - 104)\|2  + 52x  + 208x + 156)\|8  cos(---)
+--R                                                                        8
+--R             + 
+--R                        3       2                +-+       3        2
+--R                   (224x  + 896x  + 1120x + 448)\|2  - 224x  - 1120x  - 1568x
+--R                 + 
+--R                   - 672
+--R              *
+--R                     %pi 6
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                         4       3       2               +-+      4       3
+--R                   (- 60x  - 300x  - 540x  - 420x - 120)\|2  + 60x  + 360x
+--R                 + 
+--R                       2
+--R                   720x  + 600x + 180
+--R              *
+--R                 4+-+2    %pi 4
+--R                 \|8  cos(---)
+--R                           8
+--R             + 
+--R                        5       4        3        2                +-+       5
+--R                   (150x  + 900x  + 2100x  + 2400x  + 1350x + 300)\|2  - 150x
+--R                 + 
+--R                          4        3        2
+--R                   - 1050x  - 2700x  - 3300x  - 1950x - 450
+--R              *
+--R                     %pi 2
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                       6     5      4      3      2            +-+    6     5
+--R                   (- x  - 7x  - 20x  - 30x  - 25x  - 11x - 2)\|2  + x  + 8x
+--R                 + 
+--R                      4      3      2
+--R                   25x  + 40x  + 35x  + 16x + 3
+--R              *
+--R                 4+-+2
+--R                 \|8
+--R          *
+--R                 %pi 2
+--R             sin(---)
+--R                  8
+--R         + 
+--R                             +-+                %pi 11
+--R               ((- 16x - 32)\|2  + 16x + 48)cos(---)
+--R                                                 8
+--R             + 
+--R                    2             +-+      2            4+-+2    %pi 9
+--R               ((16x  + 48x + 32)\|2  - 16x  - 64x - 48)\|8  cos(---)
+--R                                                                  8
+--R             + 
+--R                        3       2               +-+      3       2
+--R                 ((- 80x  - 320x  - 400x - 160)\|2  + 80x  + 400x  + 560x + 240)
+--R              *
+--R                     %pi 7
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                       4       3       2              +-+      4       3       2
+--R                   (28x  + 140x  + 252x  + 196x + 56)\|2  - 28x  - 168x  - 336x
+--R                 + 
+--R                   - 280x - 84
+--R              *
+--R                 4+-+2    %pi 5
+--R                 \|8  cos(---)
+--R                           8
+--R             + 
+--R                         5       4       3       2              +-+      5
+--R                   (- 36x  - 216x  - 504x  - 576x  - 324x - 72)\|2  + 36x
+--R                 + 
+--R                       4       3       2
+--R                   252x  + 648x  + 792x  + 468x + 108
+--R              *
+--R                     %pi 3
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                       6      5       4       3       2              +-+      6
+--R                   (10x  + 70x  + 200x  + 300x  + 250x  + 110x + 20)\|2  - 10x
+--R                 + 
+--R                        5       4       3       2
+--R                   - 80x  - 250x  - 400x  - 350x  - 160x - 30
+--R              *
+--R                 4+-+2    %pi
+--R                 \|8  cos(---)
+--R                           8
+--R          *
+--R                 %pi
+--R             sin(---)
+--R                  8
+--R         + 
+--R                     +-+               %pi 12
+--R           ((4x + 8)\|2  - 4x - 12)cos(---)
+--R                                        8
+--R         + 
+--R                 2            +-+     2            4+-+2    %pi 10
+--R           ((- 4x  - 12x - 8)\|2  + 4x  + 16x + 12)\|8  cos(---)
+--R                                                             8
+--R         + 
+--R                3      2             +-+      3      2                %pi 8
+--R           ((12x  + 48x  + 60x + 24)\|2  - 12x  - 60x  - 84x - 36)cos(---)
+--R                                                                       8
+--R         + 
+--R                      4      3      2            +-+     4      3      2
+--R                 (- 4x  - 20x  - 36x  - 28x - 8)\|2  + 4x  + 24x  + 48x  + 40x
+--R               + 
+--R                 12
+--R          *
+--R             4+-+2    %pi 6
+--R             \|8  cos(---)
+--R                       8
+--R         + 
+--R                  5      4       3       2             +-+     5      4       3
+--R               (9x  + 54x  + 126x  + 144x  + 81x + 18)\|2  - 9x  - 63x  - 162x
+--R             + 
+--R                     2
+--R               - 198x  - 117x - 27
+--R          *
+--R                 %pi 4
+--R             cos(---)
+--R                  8
+--R         + 
+--R                   6     5      4      3      2            +-+    6     5      4
+--R               (- x  - 7x  - 20x  - 30x  - 25x  - 11x - 2)\|2  + x  + 8x  + 25x
+--R             + 
+--R                  3      2
+--R               40x  + 35x  + 16x + 3
+--R          *
+--R             4+-+2    %pi 2
+--R             \|8  cos(---)
+--R                       8
+--R         + 
+--R              7      6      5       4       3      2            +-+     7      6
+--R           (2x  + 16x  + 54x  + 100x  + 110x  + 72x  + 26x + 4)\|2  - 2x  - 18x
+--R         + 
+--R                5       4       3       2
+--R           - 66x  - 130x  - 150x  - 102x  - 38x - 6
+--R      *
+--R                  +--------+ +---------+
+--R          +-----+ | +-+      |  +-+
+--R         \|x + 1 \|\|2  + 1 \|2\|2  + 2
+--R     + 
+--R                       +-+               %pi 12
+--R           ((- 4x - 8)\|2  - 4x - 12)sin(---)
+--R                                          8
+--R         + 
+--R                       +-+                %pi     %pi 11
+--R           ((16x + 32)\|2  + 16x + 48)cos(---)sin(---)
+--R                                           8       8
+--R         + 
+--R                             +-+                 %pi 2
+--R               ((- 40x - 80)\|2  - 40x - 120)cos(---)
+--R                                                  8
+--R             + 
+--R                   2            +-+     2            4+-+2
+--R               ((4x  + 12x + 8)\|2  + 4x  + 16x + 12)\|8
+--R          *
+--R                 %pi 10
+--R             sin(---)
+--R                  8
+--R         + 
+--R                            +-+                 %pi 3
+--R               ((80x + 160)\|2  + 80x + 240)cos(---)
+--R                                                 8
+--R             + 
+--R                      2             +-+      2            4+-+2    %pi
+--R               ((- 16x  - 48x - 32)\|2  - 16x  - 64x - 48)\|8  cos(---)
+--R                                                                    8
+--R          *
+--R                 %pi 9
+--R             sin(---)
+--R                  8
+--R         + 
+--R                               +-+                  %pi 4
+--R               ((- 124x - 248)\|2  - 124x - 372)cos(---)
+--R                                                     8
+--R             + 
+--R                    2               +-+      2              4+-+2    %pi 2
+--R               ((52x  + 156x + 104)\|2  + 52x  + 208x + 156)\|8  cos(---)
+--R                                                                      8
+--R             + 
+--R                     3      2             +-+      3      2
+--R               (- 12x  - 48x  - 60x - 24)\|2  - 12x  - 60x  - 84x - 36
+--R          *
+--R                 %pi 8
+--R             sin(---)
+--R                  8
+--R         + 
+--R                             +-+                  %pi 5
+--R               ((160x + 320)\|2  + 160x + 480)cos(---)
+--R                                                   8
+--R             + 
+--R                      2               +-+      2              4+-+2    %pi 3
+--R               ((- 96x  - 288x - 192)\|2  - 96x  - 384x - 288)\|8  cos(---)
+--R                                                                        8
+--R             + 
+--R                      3       2               +-+      3       2
+--R                 ((80x  + 320x  + 400x + 160)\|2  + 80x  + 400x  + 560x + 240)
+--R              *
+--R                     %pi
+--R                 cos(---)
+--R                      8
+--R          *
+--R                 %pi 7
+--R             sin(---)
+--R                  8
+--R         + 
+--R                               +-+                  %pi 6
+--R               ((- 176x - 352)\|2  - 176x - 528)cos(---)
+--R                                                     8
+--R             + 
+--R                     2               +-+       2              4+-+2    %pi 4
+--R               ((136x  + 408x + 272)\|2  + 136x  + 544x + 408)\|8  cos(---)
+--R                                                                        8
+--R             + 
+--R                          3       2                +-+       3        2
+--R                   (- 224x  - 896x  - 1120x - 448)\|2  - 224x  - 1120x  - 1568x
+--R                 + 
+--R                   - 672
+--R              *
+--R                     %pi 2
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                      4      3      2            +-+     4      3      2
+--R                   (4x  + 20x  + 36x  + 28x + 8)\|2  + 4x  + 24x  + 48x  + 40x
+--R                 + 
+--R                   12
+--R              *
+--R                 4+-+2
+--R                 \|8
+--R          *
+--R                 %pi 6
+--R             sin(---)
+--R                  8
+--R         + 
+--R                             +-+                  %pi 7
+--R               ((160x + 320)\|2  + 160x + 480)cos(---)
+--R                                                   8
+--R             + 
+--R                       2               +-+       2              4+-+2    %pi 5
+--R               ((- 160x  - 480x - 320)\|2  - 160x  - 640x - 480)\|8  cos(---)
+--R                                                                          8
+--R             + 
+--R                        3        2                +-+       3        2
+--R                   (368x  + 1472x  + 1840x + 736)\|2  + 368x  + 1840x  + 2576x
+--R                 + 
+--R                   1104
+--R              *
+--R                     %pi 3
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                         4       3       2              +-+      4       3
+--R                   (- 28x  - 140x  - 252x  - 196x - 56)\|2  - 28x  - 168x
+--R                 + 
+--R                         2
+--R                   - 336x  - 280x - 84
+--R              *
+--R                 4+-+2    %pi
+--R                 \|8  cos(---)
+--R                           8
+--R          *
+--R                 %pi 5
+--R             sin(---)
+--R                  8
+--R         + 
+--R                               +-+                  %pi 8
+--R               ((- 124x - 248)\|2  - 124x - 372)cos(---)
+--R                                                     8
+--R             + 
+--R                     2               +-+       2              4+-+2    %pi 6
+--R               ((136x  + 408x + 272)\|2  + 136x  + 544x + 408)\|8  cos(---)
+--R                                                                        8
+--R             + 
+--R                          3        2                 +-+       3        2
+--R                   (- 552x  - 2208x  - 2760x - 1104)\|2  - 552x  - 2760x
+--R                 + 
+--R                   - 3864x - 1656
+--R              *
+--R                     %pi 4
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                       4       3       2               +-+      4       3
+--R                   (60x  + 300x  + 540x  + 420x + 120)\|2  + 60x  + 360x
+--R                 + 
+--R                       2
+--R                   720x  + 600x + 180
+--R              *
+--R                 4+-+2    %pi 2
+--R                 \|8  cos(---)
+--R                           8
+--R             + 
+--R                    5      4       3       2             +-+     5      4
+--R               (- 9x  - 54x  - 126x  - 144x  - 81x - 18)\|2  - 9x  - 63x
+--R             + 
+--R                     3       2
+--R               - 162x  - 198x  - 117x - 27
+--R          *
+--R                 %pi 4
+--R             sin(---)
+--R                  8
+--R         + 
+--R                            +-+                 %pi 9
+--R               ((80x + 160)\|2  + 80x + 240)cos(---)
+--R                                                 8
+--R             + 
+--R                      2               +-+      2              4+-+2    %pi 7
+--R               ((- 96x  - 288x - 192)\|2  - 96x  - 384x - 288)\|8  cos(---)
+--R                                                                        8
+--R             + 
+--R                        3        2                +-+       3        2
+--R                   (368x  + 1472x  + 1840x + 736)\|2  + 368x  + 1840x  + 2576x
+--R                 + 
+--R                   1104
+--R              *
+--R                     %pi 5
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                          4       3        2               +-+       4       3
+--R                   (- 136x  - 680x  - 1224x  - 952x - 272)\|2  - 136x  - 816x
+--R                 + 
+--R                          2
+--R                   - 1632x  - 1360x - 408
+--R              *
+--R                 4+-+2    %pi 3
+--R                 \|8  cos(---)
+--R                           8
+--R             + 
+--R                       5       4       3       2              +-+      5       4
+--R                   (36x  + 216x  + 504x  + 576x  + 324x + 72)\|2  + 36x  + 252x
+--R                 + 
+--R                       3       2
+--R                   648x  + 792x  + 468x + 108
+--R              *
+--R                     %pi
+--R                 cos(---)
+--R                      8
+--R          *
+--R                 %pi 3
+--R             sin(---)
+--R                  8
+--R         + 
+--R                             +-+                 %pi 10
+--R               ((- 40x - 80)\|2  - 40x - 120)cos(---)
+--R                                                  8
+--R             + 
+--R                    2               +-+      2              4+-+2    %pi 8
+--R               ((52x  + 156x + 104)\|2  + 52x  + 208x + 156)\|8  cos(---)
+--R                                                                      8
+--R             + 
+--R                          3       2                +-+       3        2
+--R                   (- 224x  - 896x  - 1120x - 448)\|2  - 224x  - 1120x  - 1568x
+--R                 + 
+--R                   - 672
+--R              *
+--R                     %pi 6
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                       4       3       2               +-+      4       3
+--R                   (60x  + 300x  + 540x  + 420x + 120)\|2  + 60x  + 360x
+--R                 + 
+--R                       2
+--R                   720x  + 600x + 180
+--R              *
+--R                 4+-+2    %pi 4
+--R                 \|8  cos(---)
+--R                           8
+--R             + 
+--R                          5       4        3        2                +-+       5
+--R                   (- 150x  - 900x  - 2100x  - 2400x  - 1350x - 300)\|2  - 150x
+--R                 + 
+--R                          4        3        2
+--R                   - 1050x  - 2700x  - 3300x  - 1950x - 450
+--R              *
+--R                     %pi 2
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                     6     5      4      3      2            +-+    6     5
+--R                   (x  + 7x  + 20x  + 30x  + 25x  + 11x + 2)\|2  + x  + 8x
+--R                 + 
+--R                      4      3      2
+--R                   25x  + 40x  + 35x  + 16x + 3
+--R              *
+--R                 4+-+2
+--R                 \|8
+--R          *
+--R                 %pi 2
+--R             sin(---)
+--R                  8
+--R         + 
+--R                           +-+                %pi 11
+--R               ((16x + 32)\|2  + 16x + 48)cos(---)
+--R                                               8
+--R             + 
+--R                      2             +-+      2            4+-+2    %pi 9
+--R               ((- 16x  - 48x - 32)\|2  - 16x  - 64x - 48)\|8  cos(---)
+--R                                                                    8
+--R             + 
+--R                      3       2               +-+      3       2
+--R                 ((80x  + 320x  + 400x + 160)\|2  + 80x  + 400x  + 560x + 240)
+--R              *
+--R                     %pi 7
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                         4       3       2              +-+      4       3
+--R                   (- 28x  - 140x  - 252x  - 196x - 56)\|2  - 28x  - 168x
+--R                 + 
+--R                         2
+--R                   - 336x  - 280x - 84
+--R              *
+--R                 4+-+2    %pi 5
+--R                 \|8  cos(---)
+--R                           8
+--R             + 
+--R                       5       4       3       2              +-+      5       4
+--R                   (36x  + 216x  + 504x  + 576x  + 324x + 72)\|2  + 36x  + 252x
+--R                 + 
+--R                       3       2
+--R                   648x  + 792x  + 468x + 108
+--R              *
+--R                     %pi 3
+--R                 cos(---)
+--R                      8
+--R             + 
+--R                         6      5       4       3       2              +-+
+--R                   (- 10x  - 70x  - 200x  - 300x  - 250x  - 110x - 20)\|2
+--R                 + 
+--R                        6      5       4       3       2
+--R                   - 10x  - 80x  - 250x  - 400x  - 350x  - 160x - 30
+--R              *
+--R                 4+-+2    %pi
+--R                 \|8  cos(---)
+--R                           8
+--R          *
+--R                 %pi
+--R             sin(---)
+--R                  8
+--R         + 
+--R                       +-+               %pi 12
+--R           ((- 4x - 8)\|2  - 4x - 12)cos(---)
+--R                                          8
+--R         + 
+--R               2            +-+     2            4+-+2    %pi 10
+--R           ((4x  + 12x + 8)\|2  + 4x  + 16x + 12)\|8  cos(---)
+--R                                                           8
+--R         + 
+--R                  3      2             +-+      3      2                %pi 8
+--R           ((- 12x  - 48x  - 60x - 24)\|2  - 12x  - 60x  - 84x - 36)cos(---)
+--R                                                                         8
+--R         + 
+--R                 4      3      2            +-+     4      3      2
+--R             ((4x  + 20x  + 36x  + 28x + 8)\|2  + 4x  + 24x  + 48x  + 40x + 12)
+--R          *
+--R             4+-+2    %pi 6
+--R             \|8  cos(---)
+--R                       8
+--R         + 
+--R                    5      4       3       2             +-+     5      4
+--R               (- 9x  - 54x  - 126x  - 144x  - 81x - 18)\|2  - 9x  - 63x
+--R             + 
+--R                     3       2
+--R               - 162x  - 198x  - 117x - 27
+--R          *
+--R                 %pi 4
+--R             cos(---)
+--R                  8
+--R         + 
+--R                 6     5      4      3      2            +-+    6     5      4
+--R               (x  + 7x  + 20x  + 30x  + 25x  + 11x + 2)\|2  + x  + 8x  + 25x
+--R             + 
+--R                  3      2
+--R               40x  + 35x  + 16x + 3
+--R          *
+--R             4+-+2    %pi 2
+--R             \|8  cos(---)
+--R                       8
+--R         + 
+--R                7      6      5       4       3      2            +-+     7
+--R           (- 2x  - 16x  - 54x  - 100x  - 110x  - 72x  - 26x - 4)\|2  - 2x
+--R         + 
+--R                6      5       4       3       2
+--R           - 18x  - 66x  - 130x  - 150x  - 102x  - 38x - 6
+--R      *
+--R                  +--------+ +---------+
+--R          +-----+ | +-+      |  +-+
+--R         \|x + 1 \|\|2  - 1 \|2\|2  - 2
+--R     + 
+--R              2         %pi 12         2          %pi     %pi 11
+--R           (8x  + 8)sin(---)   + (- 32x  - 32)cos(---)sin(---)
+--R                         8                         8       8
+--R         + 
+--R                2          %pi 2        3     2          4+-+2     %pi 10
+--R           ((80x  + 80)cos(---)  + (- 6x  - 6x  - 6x - 6)\|8  )sin(---)
+--R                            8                                       8
+--R         + 
+--R                     2           %pi 3       3      2            4+-+2    %pi
+--R             ((- 160x  - 160)cos(---)  + (20x  + 20x  + 20x + 20)\|8  cos(---))
+--R                                  8                                        8
+--R          *
+--R                 %pi 9
+--R             sin(---)
+--R                  8
+--R         + 
+--R                    2           %pi 4         3      2            4+-+2    %pi 2
+--R               (248x  + 248)cos(---)  + (- 74x  - 74x  - 74x - 74)\|8  cos(---)
+--R                                 8                                          8
+--R             + 
+--R                 4     3     2
+--R               4x  + 8x  + 8x  + 8x + 4
+--R          *
+--R                 %pi 8
+--R             sin(---)
+--R                  8
+--R         + 
+--R                      2           %pi 5
+--R               (- 320x  - 320)cos(---)
+--R                                   8
+--R             + 
+--R                    3       2              4+-+2    %pi 3
+--R               (144x  + 144x  + 144x + 144)\|8  cos(---)
+--R                                                     8
+--R             + 
+--R                     4       3       2                 %pi
+--R               (- 64x  - 128x  - 128x  - 128x - 64)cos(---)
+--R                                                        8
+--R          *
+--R                 %pi 7
+--R             sin(---)
+--R                  8
+--R         + 
+--R                    2           %pi 6
+--R               (352x  + 352)cos(---)
+--R                                 8
+--R             + 
+--R                      3       2              4+-+2    %pi 4
+--R               (- 212x  - 212x  - 212x - 212)\|8  cos(---)
+--R                                                       8
+--R             + 
+--R                    4       3       2                  %pi 2
+--R               (224x  + 448x  + 448x  + 448x + 224)cos(---)
+--R                                                        8
+--R             + 
+--R                 5     4     3     2          4+-+2
+--R               (x  + 3x  + 4x  + 4x  + 3x + 1)\|8
+--R          *
+--R                 %pi 6
+--R             sin(---)
+--R                  8
+--R         + 
+--R                      2           %pi 7
+--R               (- 320x  - 320)cos(---)
+--R                                   8
+--R             + 
+--R                    3       2              4+-+2    %pi 5
+--R               (264x  + 264x  + 264x + 264)\|8  cos(---)
+--R                                                     8
+--R             + 
+--R                      4       3       2                  %pi 3
+--R               (- 352x  - 704x  - 704x  - 704x - 352)cos(---)
+--R                                                          8
+--R             + 
+--R                   5      4      3      2            4+-+2    %pi
+--R               (14x  + 42x  + 56x  + 56x  + 42x + 14)\|8  cos(---)
+--R                                                               8
+--R          *
+--R                 %pi 5
+--R             sin(---)
+--R                  8
+--R         + 
+--R                    2           %pi 8
+--R               (248x  + 248)cos(---)
+--R                                 8
+--R             + 
+--R                      3       2              4+-+2    %pi 6
+--R               (- 236x  - 236x  - 236x - 236)\|8  cos(---)
+--R                                                       8
+--R             + 
+--R                    4        3        2                   %pi 4
+--R               (728x  + 1456x  + 1456x  + 1456x + 728)cos(---)
+--R                                                           8
+--R             + 
+--R                     5      4      3      2            4+-+2    %pi 2
+--R               (- 11x  - 33x  - 44x  - 44x  - 33x - 11)\|8  cos(---)
+--R                                                                 8
+--R          *
+--R                 %pi 4
+--R             sin(---)
+--R                  8
+--R         + 
+--R                      2           %pi 9
+--R               (- 160x  - 160)cos(---)
+--R                                   8
+--R             + 
+--R                    3       2              4+-+2    %pi 7
+--R               (176x  + 176x  + 176x + 176)\|8  cos(---)
+--R                                                     8
+--R             + 
+--R                      4        3        2                   %pi 5
+--R               (- 576x  - 1152x  - 1152x  - 1152x - 576)cos(---)
+--R                                                             8
+--R             + 
+--R                    5       4       3       2              4+-+2    %pi 3
+--R               (140x  + 420x  + 560x  + 560x  + 420x + 140)\|8  cos(---)
+--R                                                                     8
+--R             + 
+--R                   6       5       4       3       2                 %pi
+--R               (32x  + 128x  + 224x  + 256x  + 224x  + 128x + 32)cos(---)
+--R                                                                      8
+--R          *
+--R                 %pi 3
+--R             sin(---)
+--R                  8
+--R         + 
+--R                   2          %pi 10
+--R               (80x  + 80)cos(---)
+--R                               8
+--R             + 
+--R                      3       2              4+-+2    %pi 8
+--R               (- 102x  - 102x  - 102x - 102)\|8  cos(---)
+--R                                                       8
+--R             + 
+--R                    4       3       2                  %pi 6
+--R               (416x  + 832x  + 832x  + 832x + 416)cos(---)
+--R                                                        8
+--R             + 
+--R                     5       4       3       2             4+-+2    %pi 4
+--R               (- 93x  - 279x  - 372x  - 372x  - 279x - 93)\|8  cos(---)
+--R                                                                     8
+--R             + 
+--R                    6       5       4       3       2                  %pi 2
+--R               (112x  + 448x  + 784x  + 896x  + 784x  + 448x + 112)cos(---)
+--R                                                                        8
+--R             + 
+--R                  7      6      5      4      3      2           4+-+2
+--R               (2x  + 10x  + 22x  + 30x  + 30x  + 22x  + 10x + 2)\|8
+--R          *
+--R                 %pi 2
+--R             sin(---)
+--R                  8
+--R         + 
+--R                     2          %pi 11       3      2            4+-+2    %pi 9
+--R               (- 32x  - 32)cos(---)   + (36x  + 36x  + 36x + 36)\|8  cos(---)
+--R                                 8                                         8
+--R             + 
+--R                      4       3       2                  %pi 7
+--R               (- 160x  - 320x  - 320x  - 320x - 160)cos(---)
+--R                                                          8
+--R             + 
+--R                   5       4       3       2             4+-+2    %pi 5
+--R               (54x  + 162x  + 216x  + 216x  + 162x + 54)\|8  cos(---)
+--R                                                                   8
+--R             + 
+--R                     6       5       4       3       2                 %pi 3
+--R               (- 64x  - 256x  - 448x  - 512x  - 448x  - 256x - 64)cos(---)
+--R                                                                        8
+--R             + 
+--R                  7      6      5      4      3      2           4+-+2    %pi
+--R               (4x  + 20x  + 44x  + 60x  + 60x  + 44x  + 20x + 4)\|8  cos(---)
+--R                                                                           8
+--R          *
+--R                 %pi
+--R             sin(---)
+--R                  8
+--R         + 
+--R              2         %pi 12         3      2            4+-+2    %pi 10
+--R           (8x  + 8)cos(---)   + (- 10x  - 10x  - 10x - 10)\|8  cos(---)
+--R                         8                                           8
+--R         + 
+--R               4      3      2                %pi 8
+--R           (36x  + 72x  + 72x  + 72x + 36)cos(---)
+--R                                               8
+--R         + 
+--R                5      4      3      2           4+-+2    %pi 6
+--R           (- 9x  - 27x  - 36x  - 36x  - 27x - 9)\|8  cos(---)
+--R                                                           8
+--R         + 
+--R               6      5       4       3       2                %pi 4
+--R           (16x  + 64x  + 112x  + 128x  + 112x  + 64x + 16)cos(---)
+--R                                                                8
+--R         + 
+--R                7      6      5      4      3      2           4+-+2    %pi 2
+--R           (- 2x  - 10x  - 22x  - 30x  - 30x  - 22x  - 10x - 2)\|8  cos(---)
+--R                                                                         8
+--R      *
+--R          +-----+
+--R         \|x + 1
+--R  /
+--R          3     2              %pi 12
+--R       (8x  + 8x  + 8x + 8)sin(---)
+--R                                8
+--R     + 
+--R             3      2                %pi     %pi 11
+--R       (- 32x  - 32x  - 32x - 32)cos(---)sin(---)
+--R                                      8       8
+--R     + 
+--R               3      2                %pi 2
+--R           (80x  + 80x  + 80x + 80)cos(---)
+--R                                        8
+--R         + 
+--R                4      3      2           4+-+2
+--R           (- 8x  - 16x  - 16x  - 16x - 8)\|8
+--R      *
+--R             %pi 10
+--R         sin(---)
+--R              8
+--R     + 
+--R                  3       2                  %pi 3
+--R           (- 160x  - 160x  - 160x - 160)cos(---)
+--R                                              8
+--R         + 
+--R               4      3      2            4+-+2    %pi
+--R           (32x  + 64x  + 64x  + 64x + 32)\|8  cos(---)
+--R                                                    8
+--R      *
+--R             %pi 9
+--R         sin(---)
+--R              8
+--R     + 
+--R                3       2                  %pi 4
+--R           (248x  + 248x  + 248x + 248)cos(---)
+--R                                            8
+--R         + 
+--R                  4       3       2              4+-+2    %pi 2      5      4
+--R           (- 104x  - 208x  - 208x  - 208x - 104)\|8  cos(---)  + 24x  + 72x
+--R                                                           8
+--R         + 
+--R              3      2
+--R           96x  + 96x  + 72x + 24
+--R      *
+--R             %pi 8
+--R         sin(---)
+--R              8
+--R     + 
+--R                  3       2                  %pi 5
+--R           (- 320x  - 320x  - 320x - 320)cos(---)
+--R                                              8
+--R         + 
+--R                4       3       2              4+-+2    %pi 3
+--R           (192x  + 384x  + 384x  + 384x + 192)\|8  cos(---)
+--R                                                         8
+--R         + 
+--R                  5       4       3       2                  %pi
+--R           (- 160x  - 480x  - 640x  - 640x  - 480x - 160)cos(---)
+--R                                                              8
+--R      *
+--R             %pi 7
+--R         sin(---)
+--R              8
+--R     + 
+--R                3       2                  %pi 6
+--R           (352x  + 352x  + 352x + 352)cos(---)
+--R                                            8
+--R         + 
+--R                  4       3       2              4+-+2    %pi 4
+--R           (- 272x  - 544x  - 544x  - 544x - 272)\|8  cos(---)
+--R                                                           8
+--R         + 
+--R                5        4        3        2                   %pi 2
+--R           (448x  + 1344x  + 1792x  + 1792x  + 1344x + 448)cos(---)
+--R                                                                8
+--R         + 
+--R                6      5      4      3      2           4+-+2
+--R           (- 8x  - 32x  - 56x  - 64x  - 56x  - 32x - 8)\|8
+--R      *
+--R             %pi 6
+--R         sin(---)
+--R              8
+--R     + 
+--R                  3       2                  %pi 7
+--R           (- 320x  - 320x  - 320x - 320)cos(---)
+--R                                              8
+--R         + 
+--R                4       3       2              4+-+2    %pi 5
+--R           (320x  + 640x  + 640x  + 640x + 320)\|8  cos(---)
+--R                                                         8
+--R         + 
+--R                  5        4        3        2                   %pi 3
+--R           (- 736x  - 2208x  - 2944x  - 2944x  - 2208x - 736)cos(---)
+--R                                                                  8
+--R         + 
+--R               6       5       4       3       2             4+-+2    %pi
+--R           (56x  + 224x  + 392x  + 448x  + 392x  + 224x + 56)\|8  cos(---)
+--R                                                                       8
+--R      *
+--R             %pi 5
+--R         sin(---)
+--R              8
+--R     + 
+--R                3       2                  %pi 8
+--R           (248x  + 248x  + 248x + 248)cos(---)
+--R                                            8
+--R         + 
+--R                  4       3       2              4+-+2    %pi 6
+--R           (- 272x  - 544x  - 544x  - 544x - 272)\|8  cos(---)
+--R                                                           8
+--R         + 
+--R                 5        4        3        2                    %pi 4
+--R           (1104x  + 3312x  + 4416x  + 4416x  + 3312x + 1104)cos(---)
+--R                                                                  8
+--R         + 
+--R                  6       5       4       3       2              4+-+2    %pi 2
+--R           (- 120x  - 480x  - 840x  - 960x  - 840x  - 480x - 120)\|8  cos(---)
+--R                                                                           8
+--R         + 
+--R              7      6       5       4       3       2
+--R           18x  + 90x  + 198x  + 270x  + 270x  + 198x  + 90x + 18
+--R      *
+--R             %pi 4
+--R         sin(---)
+--R              8
+--R     + 
+--R                  3       2                  %pi 9
+--R           (- 160x  - 160x  - 160x - 160)cos(---)
+--R                                              8
+--R         + 
+--R                4       3       2              4+-+2    %pi 7
+--R           (192x  + 384x  + 384x  + 384x + 192)\|8  cos(---)
+--R                                                         8
+--R         + 
+--R                  5        4        3        2                   %pi 5
+--R           (- 736x  - 2208x  - 2944x  - 2944x  - 2208x - 736)cos(---)
+--R                                                                  8
+--R         + 
+--R                  6        5        4        3        2               4+-+2
+--R             (272x  + 1088x  + 1904x  + 2176x  + 1904x  + 1088x + 272)\|8
+--R          *
+--R                 %pi 3
+--R             cos(---)
+--R                  8
+--R         + 
+--R               7       6       5        4        3       2                 %pi
+--R         (- 72x  - 360x  - 792x  - 1080x  - 1080x  - 792x  - 360x - 72)cos(---)
+--R                                                                            8
+--R      *
+--R             %pi 3
+--R         sin(---)
+--R              8
+--R     + 
+--R               3      2                %pi 10
+--R           (80x  + 80x  + 80x + 80)cos(---)
+--R                                        8
+--R         + 
+--R                  4       3       2              4+-+2    %pi 8
+--R           (- 104x  - 208x  - 208x  - 208x - 104)\|8  cos(---)
+--R                                                           8
+--R         + 
+--R                5        4        3        2                   %pi 6
+--R           (448x  + 1344x  + 1792x  + 1792x  + 1344x + 448)cos(---)
+--R                                                                8
+--R         + 
+--R                  6       5       4       3       2              4+-+2    %pi 4
+--R           (- 120x  - 480x  - 840x  - 960x  - 840x  - 480x - 120)\|8  cos(---)
+--R                                                                           8
+--R         + 
+--R                  7        6        5        4        3        2
+--R             (300x  + 1500x  + 3300x  + 4500x  + 4500x  + 3300x  + 1500x + 300)
+--R          *
+--R                 %pi 2
+--R             cos(---)
+--R                  8
+--R         + 
+--R                8      7      6      5      4      3      2           4+-+2
+--R           (- 2x  - 12x  - 32x  - 52x  - 60x  - 52x  - 32x  - 12x - 2)\|8
+--R      *
+--R             %pi 2
+--R         sin(---)
+--R              8
+--R     + 
+--R                 3      2                %pi 11
+--R           (- 32x  - 32x  - 32x - 32)cos(---)
+--R                                          8
+--R         + 
+--R               4      3      2            4+-+2    %pi 9
+--R           (32x  + 64x  + 64x  + 64x + 32)\|8  cos(---)
+--R                                                    8
+--R         + 
+--R                  5       4       3       2                  %pi 7
+--R           (- 160x  - 480x  - 640x  - 640x  - 480x - 160)cos(---)
+--R                                                              8
+--R         + 
+--R               6       5       4       3       2             4+-+2    %pi 5
+--R           (56x  + 224x  + 392x  + 448x  + 392x  + 224x + 56)\|8  cos(---)
+--R                                                                       8
+--R         + 
+--R                   7       6       5        4        3       2
+--R             (- 72x  - 360x  - 792x  - 1080x  - 1080x  - 792x  - 360x - 72)
+--R          *
+--R                 %pi 3
+--R             cos(---)
+--R                  8
+--R         + 
+--R                 8       7       6       5       4       3       2
+--R             (20x  + 120x  + 320x  + 520x  + 600x  + 520x  + 320x  + 120x + 20)
+--R          *
+--R             4+-+2    %pi
+--R             \|8  cos(---)
+--R                       8
+--R      *
+--R             %pi
+--R         sin(---)
+--R              8
+--R     + 
+--R          3     2              %pi 12
+--R       (8x  + 8x  + 8x + 8)cos(---)
+--R                                8
+--R     + 
+--R            4      3      2           4+-+2    %pi 10
+--R       (- 8x  - 16x  - 16x  - 16x - 8)\|8  cos(---)
+--R                                                8
+--R     + 
+--R           5      4      3      2                %pi 8
+--R       (24x  + 72x  + 96x  + 96x  + 72x + 24)cos(---)
+--R                                                  8
+--R     + 
+--R            6      5      4      3      2           4+-+2    %pi 6
+--R       (- 8x  - 32x  - 56x  - 64x  - 56x  - 32x - 8)\|8  cos(---)
+--R                                                              8
+--R     + 
+--R           7      6       5       4       3       2                %pi 4
+--R       (18x  + 90x  + 198x  + 270x  + 270x  + 198x  + 90x + 18)cos(---)
+--R                                                                    8
+--R     + 
+--R            8      7      6      5      4      3      2           4+-+2    %pi 2
+--R       (- 2x  - 12x  - 32x  - 52x  - 60x  - 52x  - 32x  - 12x - 2)\|8  cos(---)
+--R                                                                            8
+--R     + 
+--R         9      8      7       6       5       4       3      2
+--R       4x  + 28x  + 88x  + 168x  + 224x  + 224x  + 168x  + 88x  + 28x + 4
+--R                                                    Type: Expression(Integer)
+--E 460
+
+--S 461 of 512
+t0192:= (-1+x)^(1/3)/(1+x)^(1/3)
+--R 
+--R
+--R          3+-----+
+--R          \|x - 1
+--R   (320)  --------
+--R          3+-----+
+--R          \|x + 1
+--R                                                    Type: Expression(Integer)
+--E 461
+
+--S 462 of 512
+r0192:= (-1+x)^(1/3)*(1+x)^(2/3)-2/3*_
+        atan(1/3*(1+2*(-1+x)^(1/3)/(1+x)^(1/3))*3^(1/2))*3^(1/2)+_
+        2/3*log(1-(-1+x)^(1/3)/(1+x)^(1/3))-_
+        1/3*log(1+(-1+x)^(2/3)/(1+x)^(2/3)+(-1+x)^(1/3)/(1+x)^(1/3))
+--R 
+--R
+--R   (321)
+--R             3+-----+2   3+-----+3+-----+   3+-----+2
+--R             \|x + 1   + \|x - 1 \|x + 1  + \|x - 1
+--R       - log(----------------------------------------)
+--R                             3+-----+2
+--R                             \|x + 1
+--R     + 
+--R            3+-----+   3+-----+               +-+3+-----+     +-+3+-----+
+--R            \|x + 1  - \|x - 1       +-+     \|3 \|x + 1  + 2\|3 \|x - 1
+--R       2log(-------------------) - 2\|3 atan(----------------------------)
+--R                  3+-----+                              3+-----+
+--R                  \|x + 1                              3\|x + 1
+--R     + 
+--R        3+-----+3+-----+2
+--R       3\|x - 1 \|x + 1
+--R  /
+--R     3
+--R                                                    Type: Expression(Integer)
+--E 462
+
+--S 463 of 512
+--a0192:= integrate(t0192,x)
+--E 463
+
+--S 464 of 512
+--m0192:= a0192-r0192
+--E 464
+
+--S 465 of 512
+--d0192:= D(m0192,x)
+--E 465
+
+--S 466 of 512
+t0193:= x^(1/2)/((2-x)^(1/2)-x^(1/2))
+--R 
+--R
+--R                    +-+
+--R                   \|x
+--R   (322)  - -----------------
+--R             +-+    +-------+
+--R            \|x  - \|- x + 2
+--R                                                    Type: Expression(Integer)
+--E 466
+
+--S 467 of 512
+r0193:= -1/2*x-1/2*(-(-2+x)*x)^(1/2)+atanh((2-x)^(1/2)/x^(1/2))-1/2*log(1-x)
+--R 
+--R
+--R                  +-------+     +---------+
+--R                 \|- x + 2      |   2
+--R          2atanh(----------) - \|- x  + 2x  - log(- x + 1) - x
+--R                     +-+
+--R                    \|x
+--R   (323)  ----------------------------------------------------
+--R                                    2
+--R                                                    Type: Expression(Integer)
+--E 467
+
+
+--                 +-------+ +-+
+--              - \|- x + 2 \|x  - 1     +-------+ +-+
+--          log(--------------------) - \|- x + 2 \|x  - x
+--                    2
+--                   x  - 2x + 1
+--   (324)  ----------------------------------------------
+--                                 2
+--                                         Type: Union(Expression(Integer),...)
+
+--S 468 of 512 ok to fail. seems there are 2 answers (see above)
+a0193:= integrate(t0193,x)
+--R 
+--R
+--R               +-------+ +-+
+--R              \|- x + 2 \|x  + 1     +-------+ +-+
+--R          log(------------------) - \|- x + 2 \|x  - x
+--R                   2
+--R                  x  - 2x + 1
+--R   (324)  --------------------------------------------
+--R                                2
+--R                                         Type: Union(Expression(Integer),...)
+--E 468
+
+--S 469 of 512 ok to fail. due to 2 answers (see above)
+m0193:= a0193-r0193
+--R 
+--R
+--R   (325)
+--R            +-------+ +-+                +-------+
+--R           \|- x + 2 \|x  + 1           \|- x + 2      +-------+ +-+
+--R       log(------------------) - 2atanh(----------) - \|- x + 2 \|x
+--R                2                           +-+
+--R               x  - 2x + 1                 \|x
+--R     + 
+--R        +---------+
+--R        |   2
+--R       \|- x  + 2x  + log(- x + 1)
+--R  /
+--R     2
+--R                                                    Type: Expression(Integer)
+--E 469
+
+--S 470 of 512
+d0193:= D(m0193,x)
+--R 
+--R
+--R                                            +---------+
+--R                    +-------+ +-+           |   2
+--R          (- x + 1)\|- x + 2 \|x  + (x - 1)\|- x  + 2x
+--R   (326)  ---------------------------------------------
+--R                     +---------+
+--R                     |   2       +-------+ +-+
+--R                   2\|- x  + 2x \|- x + 2 \|x
+--R                                                    Type: Expression(Integer)
+--E 470
+
+--S 471 of 512
+t0194:= 1/(9+b*x^2)^(1/2)
+--R 
+--R
+--R               1
+--R   (327)  -----------
+--R           +--------+
+--R           |   2
+--R          \|b x  + 9
+--R                                                    Type: Expression(Integer)
+--E 471
+
+--S 472 of 512
+r0194:= asinh(1/3*b^(1/2)*x)/b^(1/2)
+--R 
+--R
+--R                  +-+
+--R                x\|b
+--R          asinh(-----)
+--R                  3
+--R   (328)  ------------
+--R               +-+
+--R              \|b
+--R                                                    Type: Expression(Integer)
+--E 472
+
+--S 473 of 512
+a0194:= integrate(t0194,x)
+--R 
+--R
+--R   (329)
+--R                      +--------+
+--R           +-+        |   2              2      +-+
+--R        (3\|b  - b x)\|b x  + 9  + (- b x  - 9)\|b  + 3b x
+--R    log(--------------------------------------------------)
+--R                           +--------+
+--R                           |   2
+--R                          \|b x  + 9  - 3
+--R   [-------------------------------------------------------,
+--R                               +-+
+--R                              \|b
+--R                 +--------+
+--R           +---+ |   2          +---+
+--R          \|- b \|b x  + 9  - 3\|- b
+--R    2atan(---------------------------)
+--R                      b x
+--R    ----------------------------------]
+--R                   +---+
+--R                  \|- b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 473
+
+--S 474 of 512
+m0194a:= a0194.1-r0194
+--R 
+--R
+--R   (330)
+--R                     +--------+
+--R          +-+        |   2              2      +-+                   +-+
+--R       (3\|b  - b x)\|b x  + 9  + (- b x  - 9)\|b  + 3b x          x\|b
+--R   log(--------------------------------------------------) - asinh(-----)
+--R                          +--------+                                 3
+--R                          |   2
+--R                         \|b x  + 9  - 3
+--R   ----------------------------------------------------------------------
+--R                                     +-+
+--R                                    \|b
+--R                                                    Type: Expression(Integer)
+--E 474
+
+--S 475 of 512
+d0194a:= D(m0194a,x)
+--R 
+--R
+--R   (331)  0
+--R                                                    Type: Expression(Integer)
+--E 475
+
+--S 476 of 512
+m0194b:= a0194.2-r0194
+--R 
+--R
+--R                           +--------+
+--R                     +---+ |   2          +---+                  +-+
+--R            +-+     \|- b \|b x  + 9  - 3\|- b      +---+      x\|b
+--R          2\|b atan(---------------------------) - \|- b asinh(-----)
+--R                                b x                              3
+--R   (332)  -----------------------------------------------------------
+--R                                    +---+ +-+
+--R                                   \|- b \|b
+--R                                                    Type: Expression(Integer)
+--E 476
+
+--S 477 of 512
+d0194b:= D(m0194a,x)
+--R 
+--R
+--R   (333)  0
+--R                                                    Type: Expression(Integer)
+--E 477
+
+--S 478 of 512
+t0195:= 1/(9-b*x^2)^(1/2)
+--R 
+--R
+--R                1
+--R   (334)  -------------
+--R           +----------+
+--R           |     2
+--R          \|- b x  + 9
+--R                                                    Type: Expression(Integer)
+--E 478
+
+--S 479 of 512
+r0195:= asin(1/3*b^(1/2)*x)/b^(1/2)
+--R 
+--R
+--R                 +-+
+--R               x\|b
+--R          asin(-----)
+--R                 3
+--R   (335)  -----------
+--R               +-+
+--R              \|b
+--R                                                    Type: Expression(Integer)
+--E 479
+
+--S 480 of 512
+a0195:= integrate(t0195,x)
+--R 
+--R
+--R   (336)
+--R           +----------+                         +----------+
+--R           |     2           2      +---+       |     2
+--R        (3\|- b x  + 9  + b x  - 9)\|- b  + b x\|- b x  + 9  - 3b x
+--R    log(-----------------------------------------------------------)
+--R                              +----------+
+--R                              |     2
+--R                             \|- b x  + 9  - 3
+--R   [----------------------------------------------------------------,
+--R                                  +---+
+--R                                 \|- b
+--R              +----------+
+--R              |     2           +-+
+--R            (\|- b x  + 9  - 3)\|b
+--R      2atan(-----------------------)
+--R                      b x
+--R    - ------------------------------]
+--R                    +-+
+--R                   \|b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 480
+
+--S 481 of 512
+m0195a:= a0195.1-r0195
+--R 
+--R
+--R   (337)
+--R                  +----------+                         +----------+
+--R                  |     2           2      +---+       |     2
+--R        +-+    (3\|- b x  + 9  + b x  - 9)\|- b  + b x\|- b x  + 9  - 3b x
+--R       \|b log(-----------------------------------------------------------)
+--R                                     +----------+
+--R                                     |     2
+--R                                    \|- b x  + 9  - 3
+--R     + 
+--R                      +-+
+--R          +---+     x\|b
+--R       - \|- b asin(-----)
+--R                      3
+--R  /
+--R      +---+ +-+
+--R     \|- b \|b
+--R                                                    Type: Expression(Integer)
+--E 481
+
+--S 482 of 512
+d0195a:= D(m0195a,x)
+--R 
+--R
+--R   (338)  0
+--R                                                    Type: Expression(Integer)
+--E 482
+
+--S 483 of 512
+m0195b:= a0195.2-r0195
+--R 
+--R
+--R                    +----------+
+--R                    |     2           +-+           +-+
+--R                  (\|- b x  + 9  - 3)\|b          x\|b
+--R          - 2atan(-----------------------) - asin(-----)
+--R                            b x                     3
+--R   (339)  ----------------------------------------------
+--R                                +-+
+--R                               \|b
+--R                                                    Type: Expression(Integer)
+--E 483
+
+--S 484 of 512
+d0195b:= D(m0195b,x)
+--R 
+--R
+--R   (340)  0
+--R                                                    Type: Expression(Integer)
+--E 484
+
+--S 485 of 512
+t0196:= 1/(%pi+b*x^2)^(1/2)
+--R 
+--R
+--R                1
+--R   (341)  -------------
+--R           +----------+
+--R           |   2
+--R          \|b x  + %pi
+--R                                                    Type: Expression(Integer)
+--E 485
+
+--S 486 of 512
+r0196:= asinh(b^(1/2)*x/%pi^(1/2))/b^(1/2)
+--R 
+--R
+--R                   +-+
+--R                 x\|b
+--R          asinh(------)
+--R                 +---+
+--R                \|%pi
+--R   (342)  -------------
+--R                +-+
+--R               \|b
+--R                                                    Type: Expression(Integer)
+--E 486
+
+--S 487 of 512
+a0196:= integrate(t0196,x)
+--R 
+--R
+--R   (343)
+--R                           +----------+
+--R          +-+ +---+        |   2              +---+         2        +-+
+--R        (\|b \|%pi  - b x)\|b x  + %pi  + b x\|%pi  + (- b x  - %pi)\|b
+--R    log(----------------------------------------------------------------)
+--R                                   +----------+
+--R                             +---+ |   2
+--R                            \|%pi \|b x  + %pi  - %pi
+--R   [---------------------------------------------------------------------,
+--R                                      +-+
+--R                                     \|b
+--R                 +----------+
+--R           +---+ |   2           +---+ +---+
+--R          \|- b \|b x  + %pi  - \|- b \|%pi
+--R    2atan(----------------------------------)
+--R                          b x
+--R    -----------------------------------------]
+--R                       +---+
+--R                      \|- b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 487
+
+--S 488 of 512
+m0196a:= a0196.1-r0196
+--R 
+--R
+--R   (344)
+--R                              +----------+
+--R             +-+ +---+        |   2              +---+         2        +-+
+--R           (\|b \|%pi  - b x)\|b x  + %pi  + b x\|%pi  + (- b x  - %pi)\|b
+--R       log(----------------------------------------------------------------)
+--R                                      +----------+
+--R                                +---+ |   2
+--R                               \|%pi \|b x  + %pi  - %pi
+--R     + 
+--R                  +-+
+--R                x\|b
+--R       - asinh(------)
+--R                +---+
+--R               \|%pi
+--R  /
+--R      +-+
+--R     \|b
+--R                                                    Type: Expression(Integer)
+--E 488
+
+--S 489 of 512
+d0196a:= D(m0196a,x)
+--R 
+--R
+--R   (345)
+--R                                                                 +----------+
+--R                                                                 |   2
+--R                     2       2  +-+ +---+    2     3         2   |b x  + %pi
+--R           ((3b %pi x  + 4%pi )\|b \|%pi  - b %pi x  - 4b %pi x) |----------
+--R                                                                \|    %pi
+--R         + 
+--R             2 4           2       2  +-+ +---+     2     3         2
+--R           (b x  + 5b %pi x  + 4%pi )\|b \|%pi  - 3b %pi x  - 4b %pi x
+--R      *
+--R          +----------+
+--R          |   2
+--R         \|b x  + %pi
+--R     + 
+--R             2     3         2   +---+       2     4         2 2       3  +-+
+--R         ((3b %pi x  + 4b %pi x)\|%pi  + (- b %pi x  - 5b %pi x  - 4%pi )\|b )
+--R      *
+--R          +----------+
+--R          |   2
+--R          |b x  + %pi
+--R          |----------
+--R         \|    %pi
+--R     + 
+--R       3 5     2     3         2   +---+        2     4         2 2       3  +-+
+--R     (b x  + 5b %pi x  + 4b %pi x)\|%pi  + (- 3b %pi x  - 7b %pi x  - 4%pi )\|b
+--R  /
+--R             2     3         2   +---+       2     4         2 2       3  +-+
+--R         ((3b %pi x  + 4b %pi x)\|%pi  + (- b %pi x  - 5b %pi x  - 4%pi )\|b )
+--R      *
+--R          +----------+
+--R          |   2        +----------+
+--R          |b x  + %pi  |   2
+--R          |---------- \|b x  + %pi
+--R         \|    %pi
+--R     + 
+--R              2     4         2 2       3  +-+ +---+    3     5     2   2 3
+--R           (3b %pi x  + 7b %pi x  + 4%pi )\|b \|%pi  - b %pi x  - 5b %pi x
+--R         + 
+--R                   3
+--R           - 4b %pi x
+--R      *
+--R          +----------+
+--R          |   2
+--R          |b x  + %pi
+--R          |----------
+--R         \|    %pi
+--R                                                    Type: Expression(Integer)
+--E 489
+
+--S 490 of 512
+m0196b:= a0196.2-r0196
+--R 
+--R
+--R                           +----------+
+--R                     +---+ |   2           +---+ +---+                   +-+
+--R            +-+     \|- b \|b x  + %pi  - \|- b \|%pi      +---+       x\|b
+--R          2\|b atan(----------------------------------) - \|- b asinh(------)
+--R                                    b x                                +---+
+--R                                                                      \|%pi
+--R   (346)  -------------------------------------------------------------------
+--R                                        +---+ +-+
+--R                                       \|- b \|b
+--R                                                    Type: Expression(Integer)
+--E 490
+
+--S 491 of 512
+d0196b:= D(m0196b,x)
+--R 
+--R
+--R                                      +----------+
+--R                   +----------+       |   2
+--R             +---+ |   2              |b x  + %pi
+--R          - \|%pi \|b x  + %pi  + %pi |----------
+--R                                     \|    %pi
+--R   (347)  ----------------------------------------
+--R                    +----------+
+--R                    |   2        +----------+
+--R                    |b x  + %pi  |   2
+--R                %pi |---------- \|b x  + %pi
+--R                   \|    %pi
+--R                                                    Type: Expression(Integer)
+--E 491
+
+--S 492 of 512
+t0197:= 1/(%pi-b*x^2)^(1/2)
+--R 
+--R
+--R                 1
+--R   (348)  ---------------
+--R           +------------+
+--R           |     2
+--R          \|- b x  + %pi
+--R                                                    Type: Expression(Integer)
+--E 492
+
+--S 493 of 512
+r0197:= asin(b^(1/2)*x/%pi^(1/2))/b^(1/2)
+--R 
+--R
+--R                  +-+
+--R                x\|b
+--R          asin(------)
+--R                +---+
+--R               \|%pi
+--R   (349)  ------------
+--R               +-+
+--R              \|b
+--R                                                    Type: Expression(Integer)
+--E 493
+
+--S 494 of 512
+a0197:= integrate(t0197,x)
+--R 
+--R
+--R   (350)
+--R   [
+--R       log
+--R                +------------+
+--R                |     2        +---+        +---+       2        +---+
+--R              (\|- b x  + %pi \|- b  - b x)\|%pi  + (b x  - %pi)\|- b
+--R            + 
+--R                  +------------+
+--R                  |     2
+--R              b x\|- b x  + %pi
+--R         /
+--R             +------------+
+--R             |     2        +---+
+--R            \|- b x  + %pi \|%pi  - %pi
+--R    /
+--R        +---+
+--R       \|- b
+--R     ,
+--R                        +------------+
+--R           +-+ +---+    |     2        +-+
+--R          \|b \|%pi  - \|- b x  + %pi \|b
+--R    2atan(--------------------------------)
+--R                         b x
+--R    ---------------------------------------]
+--R                       +-+
+--R                      \|b
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 494
+
+--S 495 of 512
+m0197a:= a0197.1-r0197
+--R 
+--R
+--R   (351)
+--R          +-+
+--R         \|b
+--R      *
+--R         log
+--R                  +------------+
+--R                  |     2        +---+        +---+       2        +---+
+--R                (\|- b x  + %pi \|- b  - b x)\|%pi  + (b x  - %pi)\|- b
+--R              + 
+--R                    +------------+
+--R                    |     2
+--R                b x\|- b x  + %pi
+--R           /
+--R               +------------+
+--R               |     2        +---+
+--R              \|- b x  + %pi \|%pi  - %pi
+--R     + 
+--R                       +-+
+--R          +---+      x\|b
+--R       - \|- b asin(------)
+--R                     +---+
+--R                    \|%pi
+--R  /
+--R      +---+ +-+
+--R     \|- b \|b
+--R                                                    Type: Expression(Integer)
+--E 495
+
+--S 496 of 512
+d0197a:= D(m0197a,x)
+--R 
+--R
+--R   (352)
+--R                                                    +------------+
+--R                                     +------------+ |     2
+--R                          2       2  |     2        |- b x  + %pi
+--R               (- 3b %pi x  + 4%pi )\|- b x  + %pi  |------------
+--R                                                   \|     %pi
+--R             + 
+--R                                          +------------+
+--R                 2 4           2       2  |     2
+--R               (b x  - 5b %pi x  + 4%pi )\|- b x  + %pi
+--R          *
+--R              +---+
+--R             \|- b
+--R         + 
+--R                                  +------------+
+--R                                  |     2
+--R              2     3         2   |- b x  + %pi     3 5     2     3         2
+--R           (3b %pi x  - 4b %pi x) |------------  - b x  + 5b %pi x  - 4b %pi x
+--R                                 \|     %pi
+--R      *
+--R          +---+
+--R         \|%pi
+--R     + 
+--R                                            +------------+
+--R                                            |     2
+--R               2     4         2 2       3  |- b x  + %pi      2     4
+--R           (- b %pi x  + 5b %pi x  - 4%pi ) |------------  - 3b %pi x
+--R                                           \|     %pi
+--R         + 
+--R                 2 2       3
+--R           7b %pi x  - 4%pi
+--R      *
+--R          +---+
+--R         \|- b
+--R     + 
+--R                                              +------------+
+--R                               +------------+ |     2
+--R           2     3         2   |     2        |- b x  + %pi
+--R       (- b %pi x  + 4b %pi x)\|- b x  + %pi  |------------
+--R                                             \|     %pi
+--R     + 
+--R                                +------------+
+--R            2     3         2   |     2
+--R       (- 3b %pi x  + 4b %pi x)\|- b x  + %pi
+--R  /
+--R                                           +------------+
+--R                                           |     2
+--R              2     4         2 2       3  |- b x  + %pi  +---+
+--R           (3b %pi x  - 7b %pi x  + 4%pi ) |------------ \|- b
+--R                                          \|     %pi
+--R         + 
+--R                                                 +------------+
+--R                                  +------------+ |     2
+--R              2     3         2   |     2        |- b x  + %pi
+--R           (3b %pi x  - 4b %pi x)\|- b x  + %pi  |------------
+--R                                                \|     %pi
+--R      *
+--R          +---+
+--R         \|%pi
+--R     + 
+--R                                                       +------------+
+--R                                        +------------+ |     2
+--R           2     4         2 2       3  |     2        |- b x  + %pi  +---+
+--R       (- b %pi x  + 5b %pi x  - 4%pi )\|- b x  + %pi  |------------ \|- b
+--R                                                      \|     %pi
+--R     + 
+--R                                         +------------+
+--R                                         |     2
+--R         3     5     2   2 3         3   |- b x  + %pi
+--R       (b %pi x  - 5b %pi x  + 4b %pi x) |------------
+--R                                        \|     %pi
+--R                                                    Type: Expression(Integer)
+--E 496
+
+--S 497 of 512
+m0197b:= a0197.2-r0197
+--R 
+--R
+--R                              +------------+
+--R                 +-+ +---+    |     2        +-+            +-+
+--R                \|b \|%pi  - \|- b x  + %pi \|b           x\|b
+--R          2atan(--------------------------------) - asin(------)
+--R                               b x                        +---+
+--R                                                         \|%pi
+--R   (353)  ------------------------------------------------------
+--R                                    +-+
+--R                                   \|b
+--R                                                    Type: Expression(Integer)
+--E 497
+
+--S 498 of 512
+d0197b:= D(m0197b,x)
+--R 
+--R
+--R                                        +------------+
+--R             +------------+             |     2
+--R             |     2        +---+       |- b x  + %pi
+--R          - \|- b x  + %pi \|%pi  + %pi |------------
+--R                                       \|     %pi
+--R   (354)  --------------------------------------------
+--R                                   +------------+
+--R                    +------------+ |     2
+--R                    |     2        |- b x  + %pi
+--R                %pi\|- b x  + %pi  |------------
+--R                                  \|     %pi
+--R                                                    Type: Expression(Integer)
+--E 498
+
+--S 499 of 512
+t0198:= 1/(a+b*x)/(c+d*x^2)^(1/2)
+--R 
+--R
+--R                    1
+--R   (355)  --------------------
+--R                    +--------+
+--R                    |   2
+--R          (b x + a)\|d x  + c
+--R                                                    Type: Expression(Integer)
+--E 499
+
+--S 500 of 512
+r0198:= atanh((b^2*c+a^2*d)^(1/2)*(c+d*x^2)^(1/2)/_
+        (-b*c+a*d*x))/(b^2*c+a^2*d)^(1/2)
+--R 
+--R
+--R                 +---------+ +--------+
+--R                 | 2     2   |   2
+--R                \|a d + b c \|d x  + c
+--R          atanh(-----------------------)
+--R                      a d x - b c
+--R   (356)  ------------------------------
+--R                    +---------+
+--R                    | 2     2
+--R                   \|a d + b c
+--R                                                    Type: Expression(Integer)
+--E 500
+
+--S 501 of 512
+a0198:= integrate(t0198,x)
+--R 
+--R
+--R   (357)
+--R   [
+--R       log
+--R                                +---------+                     +--------+
+--R                         2  +-+ | 2     2         3       2     |   2
+--R              ((a b x + a )\|c \|a d + b c  + (- a d - a b c)x)\|d x  + c
+--R            + 
+--R                                                +---------+
+--R                   2     2   2              2   | 2     2
+--R              ((- a d - b c)x  - a b c x - a c)\|a d + b c
+--R            + 
+--R                 2       3   2     3       2     +-+
+--R              ((a b d + b c)x  + (a d + a b c)x)\|c
+--R         /
+--R                          +--------+
+--R                      +-+ |   2
+--R            (b x + a)\|c \|d x  + c  - b c x - a c
+--R    /
+--R        +---------+
+--R        | 2     2
+--R       \|a d + b c
+--R     ,
+--R            +-----------+ +--------+               +-----------+
+--R            |   2     2   |   2                    |   2     2   +-+
+--R          a\|- a d - b c \|d x  + c  + (- b x - a)\|- a d - b c \|c
+--R    2atan(----------------------------------------------------------)
+--R                                   2     2
+--R                                 (a d + b c)x
+--R    -----------------------------------------------------------------]
+--R                               +-----------+
+--R                               |   2     2
+--R                              \|- a d - b c
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 501
+
+--S 502 of 512
+m0198a:= a0198.1-r0198
+--R 
+--R
+--R   (358)
+--R       log
+--R                                +---------+                     +--------+
+--R                         2  +-+ | 2     2         3       2     |   2
+--R              ((a b x + a )\|c \|a d + b c  + (- a d - a b c)x)\|d x  + c
+--R            + 
+--R                                                +---------+
+--R                   2     2   2              2   | 2     2
+--R              ((- a d - b c)x  - a b c x - a c)\|a d + b c
+--R            + 
+--R                 2       3   2     3       2     +-+
+--R              ((a b d + b c)x  + (a d + a b c)x)\|c
+--R         /
+--R                          +--------+
+--R                      +-+ |   2
+--R            (b x + a)\|c \|d x  + c  - b c x - a c
+--R     + 
+--R                +---------+ +--------+
+--R                | 2     2   |   2
+--R               \|a d + b c \|d x  + c
+--R       - atanh(-----------------------)
+--R                     a d x - b c
+--R  /
+--R      +---------+
+--R      | 2     2
+--R     \|a d + b c
+--R                                                    Type: Expression(Integer)
+--E 502
+
+--S 503 of 512
+d0198a:= D(m0198a,x)
+--R 
+--R
+--R   (359)  0
+--R                                                    Type: Expression(Integer)
+--E 503
+
+--S 504 of 512
+m0198b:= a0198.2-r0198
+--R 
+--R
+--R   (360)
+--R                              +---------+ +--------+
+--R          +-----------+       | 2     2   |   2
+--R          |   2     2        \|a d + b c \|d x  + c
+--R       - \|- a d - b c atanh(-----------------------)
+--R                                   a d x - b c
+--R     + 
+--R           +---------+
+--R           | 2     2
+--R         2\|a d + b c
+--R      *
+--R                +-----------+ +--------+               +-----------+
+--R                |   2     2   |   2                    |   2     2   +-+
+--R              a\|- a d - b c \|d x  + c  + (- b x - a)\|- a d - b c \|c
+--R         atan(----------------------------------------------------------)
+--R                                       2     2
+--R                                     (a d + b c)x
+--R  /
+--R      +-----------+ +---------+
+--R      |   2     2   | 2     2
+--R     \|- a d - b c \|a d + b c
+--R                                                    Type: Expression(Integer)
+--E 504
+
+--S 505 of 512
+d0198b:= D(m0198b,x)
+--R 
+--R
+--R   (361)  0
+--R                                                    Type: Expression(Integer)
+--E 505
+
+--S 506 of 512
+t0199:= 1/(a+b*x)/(-c+d*x^2)^(1/2)
+--R 
+--R
+--R                    1
+--R   (362)  --------------------
+--R                    +--------+
+--R                    |   2
+--R          (b x + a)\|d x  - c
+--R                                                    Type: Expression(Integer)
+--E 506
+
+--S 507 of 512
+r0199:= atan((b^2*c-a^2*d)^(1/2)*(-c+d*x^2)^(1/2)/(b*c+a*d*x))/(b^2*c-a^2*d)^(1/2)
+--R 
+--R
+--R                +-----------+ +--------+
+--R                |   2     2   |   2
+--R               \|- a d + b c \|d x  - c
+--R          atan(-------------------------)
+--R                      a d x + b c
+--R   (363)  -------------------------------
+--R                    +-----------+
+--R                    |   2     2
+--R                   \|- a d + b c
+--R                                                    Type: Expression(Integer)
+--E 507
+
+--S 508 of 512
+a0199:= integrate(t0199,x)
+--R 
+--R
+--R   (364)
+--R   [
+--R       log
+--R                                  +---------+                     +--------+
+--R                         2  +---+ | 2     2         3       2     |   2
+--R              ((a b x + a )\|- c \|a d - b c  + (- a d + a b c)x)\|d x  - c
+--R            + 
+--R                                                +---------+
+--R                   2     2   2              2   | 2     2
+--R              ((- a d + b c)x  + a b c x + a c)\|a d - b c
+--R            + 
+--R                 2       3   2     3       2     +---+
+--R              ((a b d - b c)x  + (a d - a b c)x)\|- c
+--R         /
+--R                            +--------+
+--R                      +---+ |   2
+--R            (b x + a)\|- c \|d x  - c  + b c x + a c
+--R    /
+--R        +---------+
+--R        | 2     2
+--R       \|a d - b c
+--R     ,
+--R            +-----------+ +--------+               +-----------+
+--R            |   2     2   |   2                    |   2     2   +---+
+--R          a\|- a d + b c \|d x  - c  + (- b x - a)\|- a d + b c \|- c
+--R    2atan(------------------------------------------------------------)
+--R                                    2     2
+--R                                  (a d - b c)x
+--R    -------------------------------------------------------------------]
+--R                                +-----------+
+--R                                |   2     2
+--R                               \|- a d + b c
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 508
+
+--S 509 of 512
+m0199a:= a0199.1-r0199
+--R 
+--R
+--R   (365)
+--R          +-----------+
+--R          |   2     2
+--R         \|- a d + b c
+--R      *
+--R         log
+--R                                    +---------+                     +--------+
+--R                           2  +---+ | 2     2         3       2     |   2
+--R                ((a b x + a )\|- c \|a d - b c  + (- a d + a b c)x)\|d x  - c
+--R              + 
+--R                                                  +---------+
+--R                     2     2   2              2   | 2     2
+--R                ((- a d + b c)x  + a b c x + a c)\|a d - b c
+--R              + 
+--R                   2       3   2     3       2     +---+
+--R                ((a b d - b c)x  + (a d - a b c)x)\|- c
+--R           /
+--R                              +--------+
+--R                        +---+ |   2
+--R              (b x + a)\|- c \|d x  - c  + b c x + a c
+--R     + 
+--R                           +-----------+ +--------+
+--R          +---------+      |   2     2   |   2
+--R          | 2     2       \|- a d + b c \|d x  - c
+--R       - \|a d - b c atan(-------------------------)
+--R                                 a d x + b c
+--R  /
+--R      +-----------+ +---------+
+--R      |   2     2   | 2     2
+--R     \|- a d + b c \|a d - b c
+--R                                                    Type: Expression(Integer)
+--E 509
+
+--S 510 of 512
+d0199a:= D(m0199a,x)
+--R 
+--R
+--R   (366)  0
+--R                                                    Type: Expression(Integer)
+--E 510
+
+--S 511 of 512
+m0199b:= a0199.2-r0199
+--R 
+--R
+--R   (367)
+--R               +-----------+ +--------+               +-----------+
+--R               |   2     2   |   2                    |   2     2   +---+
+--R             a\|- a d + b c \|d x  - c  + (- b x - a)\|- a d + b c \|- c
+--R       2atan(------------------------------------------------------------)
+--R                                       2     2
+--R                                     (a d - b c)x
+--R     + 
+--R               +-----------+ +--------+
+--R               |   2     2   |   2
+--R              \|- a d + b c \|d x  - c
+--R       - atan(-------------------------)
+--R                     a d x + b c
+--R  /
+--R      +-----------+
+--R      |   2     2
+--R     \|- a d + b c
+--R                                                    Type: Expression(Integer)
+--E 511
+
+--S 512 of 512
+d0199b:= D(m0199b,x)
+--R 
+--R
+--R   (368)  0
+--R                                                    Type: Expression(Integer)
+--E 512
+
+)spool
+\end{chunk}
+\eject
+\begin{thebibliography}{99}
+\bibitem{1}
+Rich, Albert D. ``Rule-based Mathematics'' \verb|www.apmaths.uwo.ca/~arich|
+\end{thebibliography}
+\end{document}
diff --git a/src/axiom-website/CATS/richalgebraic100-199.input.pdf b/src/axiom-website/CATS/richalgebraic100-199.input.pdf
new file mode 100644
index 0000000..4070994
Binary files /dev/null and b/src/axiom-website/CATS/richalgebraic100-199.input.pdf differ
diff --git a/src/axiom-website/CATS/richalgebraic200-299.input.pamphlet b/src/axiom-website/CATS/richalgebraic200-299.input.pamphlet
new file mode 100644
index 0000000..fc6e6ee
--- /dev/null
+++ b/src/axiom-website/CATS/richalgebraic200-299.input.pamphlet
@@ -0,0 +1,10314 @@
+\documentclass{article}
+\usepackage{axiom}
+\setlength{\textwidth}{400pt}
+\begin{document}
+\title{\$SPAD/src/input richalgebraic200-299.input}
+\author{Albert Rich and Timothy Daly}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\begin{chunk}{*}
+)set break resume
+)sys rm -f richalgebraic200-299.output
+)spool richalgebraic200-299.output
+)set message test on
+)set message auto off
+)clear all
+ 
+--S 1 of 554
+t0200:= x^2/(1-a^2-2*a*b*x-b^2*x^2)^(1/2)
+--R 
+--R
+--R                      2
+--R                     x
+--R   (1)  ---------------------------
+--R         +------------------------+
+--R         |   2 2             2
+--R        \|- b x  - 2a b x - a  + 1
+--R                                                    Type: Expression(Integer)
+--E 1
+
+--S 2 of 554
+r0200:= 1/2*(3*a*(1-a^2-2*a*b*x-b^2*x^2)^(1/2)-_
+        x*(1-a^2-2*a*b*x-b^2*x^2)^(1/2)*b+asin(a+b*x)+2*a^2*asin(a+b*x))/b^3
+--R 
+--R
+--R                     +------------------------+
+--R                     |   2 2             2           2
+--R        (- b x + 3a)\|- b x  - 2a b x - a  + 1  + (2a  + 1)asin(b x + a)
+--R   (2)  ----------------------------------------------------------------
+--R                                         3
+--R                                       2b
+--R                                                    Type: Expression(Integer)
+--E 2
+
+--S 3 of 554
+a0200:= integrate(t0200,x)
+--R 
+--R
+--R   (3)
+--R                                           +------------------------+ +--------+
+--R               3              4     2      |   2 2             2      |   2
+--R           ((8a  + 4a)b x + 8a  - 4a  - 4)\|- b x  - 2a b x - a  + 1 \|- a  + 1
+--R         + 
+--R              4      2 2       5     3              6      4
+--R           (8a  - 2)b x  + (16a  - 8a  - 8a)b x + 8a  - 12a  + 4
+--R      *
+--R               +--------+    +------------------------+
+--R               |   2         |   2 2             2
+--R              \|- a  + 1  - \|- b x  - 2a b x - a  + 1
+--R         atan(-----------------------------------------)
+--R                                 b x
+--R     + 
+--R                                                                   +--------+
+--R            4 4     3 3        3       2 2        4     2          |   2
+--R       (2a b x  - 2b x  + (- 6a  - 3a)b x  + (- 4a  + 2a  + 2)b x)\|- a  + 1
+--R     + 
+--R               2      3 3      3      2 2      4     2
+--R         ((- 2a  + 1)b x  + (2a  + a)b x  + (4a  - 2a  - 2)b x)
+--R      *
+--R          +------------------------+
+--R          |   2 2             2
+--R         \|- b x  - 2a b x - a  + 1
+--R  /
+--R                              +------------------------+ +--------+
+--R            4       2      3  |   2 2             2      |   2
+--R       (4a b x + (4a  - 4)b )\|- b x  - 2a b x - a  + 1 \|- a  + 1
+--R     + 
+--R          2      5 2      3       4       4     2      3
+--R       (4a  - 2)b x  + (8a  - 8a)b x + (4a  - 8a  + 4)b
+--R                                         Type: Union(Expression(Integer),...)
+--E 3
+
+--S 4 of 554
+m0200:= a0200-r0200
+--R 
+--R
+--R   (4)
+--R                                           +------------------------+ +--------+
+--R               3              4     2      |   2 2             2      |   2
+--R           ((8a  + 4a)b x + 8a  - 4a  - 4)\|- b x  - 2a b x - a  + 1 \|- a  + 1
+--R         + 
+--R              4      2 2       5     3              6      4
+--R           (8a  - 2)b x  + (16a  - 8a  - 8a)b x + 8a  - 12a  + 4
+--R      *
+--R               +--------+    +------------------------+
+--R               |   2         |   2 2             2
+--R              \|- a  + 1  - \|- b x  - 2a b x - a  + 1
+--R         atan(-----------------------------------------)
+--R                                 b x
+--R     + 
+--R                   3              4     2
+--R             ((- 4a  - 2a)b x - 4a  + 2a  + 2)asin(b x + a)
+--R          *
+--R              +------------------------+
+--R              |   2 2             2
+--R             \|- b x  - 2a b x - a  + 1
+--R         + 
+--R              3       2 2       4      2         5      3
+--R           (6a  - 3a)b x  + (12a  - 12a )b x + 6a  - 12a  + 6a
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|- a  + 1
+--R     + 
+--R                                            +------------------------+
+--R             4     2         5      3       |   2 2             2
+--R       ((- 6a  + 6a )b x - 6a  + 12a  - 6a)\|- b x  - 2a b x - a  + 1
+--R     + 
+--R             4      2 2        5     3              6     4
+--R       ((- 4a  + 1)b x  + (- 8a  + 4a  + 4a)b x - 4a  + 6a  - 2)asin(b x + a)
+--R  /
+--R                              +------------------------+ +--------+
+--R            4       2      3  |   2 2             2      |   2
+--R       (4a b x + (4a  - 4)b )\|- b x  - 2a b x - a  + 1 \|- a  + 1
+--R     + 
+--R          2      5 2      3       4       4     2      3
+--R       (4a  - 2)b x  + (8a  - 8a)b x + (4a  - 8a  + 4)b
+--R                                                    Type: Expression(Integer)
+--E 4
+
+--S 5 of 554
+d0200:= D(m0200,x)
+--R 
+--R
+--R   (5)  0
+--R                                                    Type: Expression(Integer)
+--E 5
+
+--S 6 of 554
+t0201:= x^2/(1+a^2+2*a*b*x+b^2*x^2)^(1/2)
+--R 
+--R
+--R                     2
+--R                    x
+--R   (6)  -------------------------
+--R         +----------------------+
+--R         | 2 2             2
+--R        \|b x  + 2a b x + a  + 1
+--R                                                    Type: Expression(Integer)
+--E 6
+
+--S 7 of 554
+r0201:= -1/2*(3*a*(1+a^2+2*a*b*x+b^2*x^2)^(1/2)-_
+        x*(1+a^2+2*a*b*x+b^2*x^2)^(1/2)*b+asinh(a+b*x)-2*a^2*asinh(a+b*x))/b^3
+--R 
+--R
+--R                   +----------------------+
+--R                   | 2 2             2           2
+--R        (b x - 3a)\|b x  + 2a b x + a  + 1  + (2a  - 1)asinh(b x + a)
+--R   (7)  -------------------------------------------------------------
+--R                                       3
+--R                                     2b
+--R                                                    Type: Expression(Integer)
+--E 7
+
+--S 8 of 554
+a0201:= integrate(t0201,x)
+--R 
+--R
+--R   (8)
+--R                                         +----------------------+
+--R                  2              3       | 2 2             2
+--R           ((- 16a  + 8)b x - 16a  + 8a)\|b x  + 2a b x + a  + 1
+--R         + 
+--R               2      2 2       3                4
+--R           (16a  - 8)b x  + (32a  - 16a)b x + 16a  - 4
+--R      *
+--R              +----------------------+
+--R              | 2 2             2
+--R         log(\|b x  + 2a b x + a  + 1  - b x - a)
+--R     + 
+--R                                                        +----------------------+
+--R            3 3       2 2       2              3        | 2 2             2
+--R       (- 8b x  + 8a b x  + (26a  - 4)b x + 10a  + 12a)\|b x  + 2a b x + a  + 1
+--R     + 
+--R         4 4         2      2 2         3                4      2
+--R       8b x  + (- 34a  + 8)b x  + (- 36a  - 16a)b x - 10a  - 17a
+--R  /
+--R                        +----------------------+
+--R           4         3  | 2 2             2           5 2        4
+--R       (16b x + 16a b )\|b x  + 2a b x + a  + 1  - 16b x  - 32a b x
+--R     + 
+--R             2      3
+--R       (- 16a  - 8)b
+--R                                         Type: Union(Expression(Integer),...)
+--E 8
+
+--S 9 of 554
+m0201:= a0201-r0201
+--R 
+--R
+--R   (9)
+--R                       +----------------------+
+--R            2          | 2 2             2
+--R       (- 8a  + 4)log(\|b x  + 2a b x + a  + 1  - b x - a)
+--R     + 
+--R            2                        2
+--R       (- 8a  + 4)asinh(b x + a) - 7a
+--R  /
+--R       3
+--R     8b
+--R                                                    Type: Expression(Integer)
+--E 9
+
+--S 10 of 554
+d0201:= D(m0201,x)
+--R 
+--R
+--R   (10)  0
+--R                                                    Type: Expression(Integer)
+--E 10
+
+--S 11 of 554
+t0202:= 1/(x-(1-x^2)^(1/2))
+--R 
+--R
+--R                  1
+--R   (11)  - ---------------
+--R            +--------+
+--R            |   2
+--R           \|- x  + 1  - x
+--R                                                    Type: Expression(Integer)
+--E 11
+
+--S 12 of 554
+r0202:= -1/2*asin(x)-1/2*atanh(x/(1-x^2)^(1/2))+1/4*log(1-2*x^2)
+--R 
+--R
+--R                       x                 2
+--R         - 2atanh(-----------) + log(- 2x  + 1) - 2asin(x)
+--R                   +--------+
+--R                   |   2
+--R                  \|- x  + 1
+--R   (12)  -------------------------------------------------
+--R                                 4
+--R                                                    Type: Expression(Integer)
+--E 12
+
+--S 13 of 554
+a0202:= integrate(t0202,x)
+--R 
+--R
+--R   (13)
+--R                     +--------+
+--R                     |   2         2
+--R             (x - 1)\|- x  + 1  - x  - x + 1
+--R       - log(-------------------------------)
+--R                             2
+--R                            x
+--R     + 
+--R                     +--------+                        +--------+
+--R                     |   2         2                   |   2
+--R           (- x - 1)\|- x  + 1  - x  + x + 1          \|- x  + 1  - 1
+--R       log(---------------------------------) + 4atan(---------------)
+--R                            2                                x
+--R                           x
+--R     + 
+--R             2
+--R       log(2x  - 1)
+--R  /
+--R     4
+--R                                         Type: Union(Expression(Integer),...)
+--E 13
+
+--S 14 of 554
+m0202:= a0202-r0202
+--R 
+--R
+--R   (14)
+--R                     +--------+
+--R                     |   2         2
+--R             (x - 1)\|- x  + 1  - x  - x + 1
+--R       - log(-------------------------------)
+--R                             2
+--R                            x
+--R     + 
+--R                     +--------+
+--R                     |   2         2
+--R           (- x - 1)\|- x  + 1  - x  + x + 1                x
+--R       log(---------------------------------) + 2atanh(-----------)
+--R                            2                           +--------+
+--R                           x                            |   2
+--R                                                       \|- x  + 1
+--R     + 
+--R              +--------+
+--R              |   2
+--R             \|- x  + 1  - 1          2                2
+--R       4atan(---------------) + log(2x  - 1) - log(- 2x  + 1) + 2asin(x)
+--R                    x
+--R  /
+--R     4
+--R                                                    Type: Expression(Integer)
+--E 14
+
+--S 15 of 554
+d0202:= D(m0202,x)
+--R 
+--R
+--R   (15)  0
+--R                                                    Type: Expression(Integer)
+--E 15
+
+--S 16 of 554
+t0203:= x/(x-(1-x^2)^(1/2))
+--R 
+--R
+--R                  x
+--R   (16)  - ---------------
+--R            +--------+
+--R            |   2
+--R           \|- x  + 1  - x
+--R                                                    Type: Expression(Integer)
+--E 16
+
+--S 17 of 554
+r0203:= 1/2*x+1/2*(1-x^2)^(1/2)-1/4*atanh(x*2^(1/2))*2^(1/2)-_
+        1/4*atanh(2^(1/2)*(1-x^2)^(1/2))*2^(1/2)
+--R 
+--R
+--R                          +--------+      +--------+
+--R            +-+       +-+ |   2           |   2         +-+        +-+
+--R         - \|2 atanh(\|2 \|- x  + 1 ) + 2\|- x  + 1  - \|2 atanh(x\|2 ) + 2x
+--R   (17)  -------------------------------------------------------------------
+--R                                          4
+--R                                                    Type: Expression(Integer)
+--E 17
+
+--S 18 of 554
+a0203:= integrate(t0203,x)
+--R 
+--R
+--R   (18)
+--R           +--------+
+--R           |   2
+--R         (\|- x  + 1  - 1)
+--R      *
+--R                                 +--------+
+--R               2      +-+     2  |   2           4     2      +-+     4     2
+--R           ((4x  - 2)\|2  - 4x )\|- x  + 1  + (6x  - 5x  + 2)\|2  - 8x  + 4x
+--R       log(------------------------------------------------------------------)
+--R                                    +--------+
+--R                             2      |   2          4     2
+--R                          (4x  - 2)\|- x  + 1  + 2x  - 5x  + 2
+--R     + 
+--R               2      +-+                 +--------+          2      +-+
+--R            (2x  + 1)\|2  - 4x       +-+  |   2            (2x  + 1)\|2  - 4x
+--R       (log(------------------) + 2x\|2 )\|- x  + 1  - log(------------------)
+--R                    2                                              2
+--R                  2x  - 1                                        2x  - 1
+--R     + 
+--R            2       +-+
+--R       (- 2x  - 2x)\|2
+--R  /
+--R           +--------+
+--R       +-+ |   2          +-+
+--R     4\|2 \|- x  + 1  - 4\|2
+--R                                         Type: Union(Expression(Integer),...)
+--E 18
+
+--S 19 of 554
+m0203:= a0203-r0203
+--R 
+--R
+--R   (19)
+--R                                 +--------+
+--R               2      +-+     2  |   2           4     2      +-+     4     2
+--R           ((4x  - 2)\|2  - 4x )\|- x  + 1  + (6x  - 5x  + 2)\|2  - 8x  + 4x
+--R       log(------------------------------------------------------------------)
+--R                                    +--------+
+--R                             2      |   2          4     2
+--R                          (4x  - 2)\|- x  + 1  + 2x  - 5x  + 2
+--R     + 
+--R                 +--------+           2      +-+
+--R             +-+ |   2             (2x  + 1)\|2  - 4x             +-+      +-+
+--R     2atanh(\|2 \|- x  + 1 ) + log(------------------) + 2atanh(x\|2 ) + 2\|2
+--R                                           2
+--R                                         2x  - 1
+--R  /
+--R       +-+
+--R     4\|2
+--R                                                    Type: Expression(Integer)
+--E 19
+
+--S 20 of 554
+d0203:= D(m0203,x)
+--R 
+--R
+--R   (20)  0
+--R                                                    Type: Expression(Integer)
+--E 20
+
+--S 21 of 554
+t0204:= 1/(2+b*x^2)^(1/2)/(3+d*x^2)^(1/2)
+--R 
+--R
+--R                    1
+--R   (21)  ----------------------
+--R          +--------+ +--------+
+--R          |   2      |   2
+--R         \|b x  + 2 \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 21
+
+--S 22 of 554
+r0204:= 1/2*EllipticF(asin(1/3*(-d)^(1/2)*x*3^(1/2)),3/2*b/d)*_
+        2^(1/2)/(-d)^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                   Fraction(Polynomial(Fraction(Integer)))
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 22
+
+--S 23 of 554
+a0204:= integrate(t0204,x)
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (22)   |   ---------------------- d%T
+--R         ++    +--------+ +--------+
+--R               |  2       |  2
+--R              \|%T b + 2 \|%T d + 3
+--R                                         Type: Union(Expression(Integer),...)
+--E 23
+
+--S 24 of 554
+m0204:= a0204-r0204
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (23)   |   ---------------------- d%T  - r0204
+--R         ++    +--------+ +--------+
+--R               |  2       |  2
+--R              \|%T b + 2 \|%T d + 3
+--R                                                    Type: Expression(Integer)
+--E 24
+
+--S 25 of 554
+d0204:= D(m0204,x)
+--R 
+--R
+--R                    1
+--R   (24)  ----------------------
+--R          +--------+ +--------+
+--R          |   2      |   2
+--R         \|b x  + 2 \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 25
+
+--S 26 of 554
+t0205:= x/(2+b*x^2)^(1/2)/(3+d*x^2)^(1/2)
+--R 
+--R
+--R                    x
+--R   (25)  ----------------------
+--R          +--------+ +--------+
+--R          |   2      |   2
+--R         \|b x  + 2 \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 26
+
+--S 27 of 554
+r0205:= atanh(d^(1/2)*(2+b*x^2)^(1/2)/b^(1/2)/(3+d*x^2)^(1/2))/b^(1/2)/d^(1/2)
+--R 
+--R
+--R                    +--------+
+--R                +-+ |   2
+--R               \|d \|b x  + 2
+--R         atanh(---------------)
+--R                    +--------+
+--R                +-+ |   2
+--R               \|b \|d x  + 3
+--R   (26)  ----------------------
+--R                 +-+ +-+
+--R                \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 27
+
+--S 28 of 554
+--a0205:= integrate(t0205,x)
+--E 28
+
+--S 29 of 554
+--m0205:= a0205-r0205
+--E 29
+
+--S 30 of 554
+--d0205:= D(m0205,x)
+--E 30
+
+--S 31 of 554
+t0206:= x^2/(2+b*x^2)^(1/2)/(3+d*x^2)^(1/2)
+--R 
+--R
+--R                    2
+--R                   x
+--R   (27)  ----------------------
+--R          +--------+ +--------+
+--R          |   2      |   2
+--R         \|b x  + 2 \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 31
+
+--S 32 of 554
+r0206:= 2^(1/2)*(EllipticE(asin(1/3*(-d)^(1/2)*x*3^(1/2)),3/2*b/d)-_
+        EllipticF(asin(1/3*(-d)^(1/2)*x*3^(1/2)),3/2*b/d))/b/(-d)^(1/2)
+--R 
+--R   There are no library operations named EllipticE 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticE
+--R      to learn if there is any operation containing " EllipticE " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticE with argument type(s) 
+--R                             Expression(Integer)
+--R                   Fraction(Polynomial(Fraction(Integer)))
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 32
+
+--S 33 of 554
+a0206:= integrate(t0206,x)
+--R 
+--R
+--R            x             2
+--R          ++            %T
+--R   (28)   |   ---------------------- d%T
+--R         ++    +--------+ +--------+
+--R               |  2       |  2
+--R              \|%T b + 2 \|%T d + 3
+--R                                         Type: Union(Expression(Integer),...)
+--E 33
+
+--S 34 of 554
+m0206:= a0206-r0206
+--R 
+--R
+--R            x             2
+--R          ++            %T
+--R   (29)   |   ---------------------- d%T  - r0206
+--R         ++    +--------+ +--------+
+--R               |  2       |  2
+--R              \|%T b + 2 \|%T d + 3
+--R                                                    Type: Expression(Integer)
+--E 34
+
+--S 35 of 554
+d0206:= D(m0206,x)
+--R 
+--R
+--R                    2
+--R                   x
+--R   (30)  ----------------------
+--R          +--------+ +--------+
+--R          |   2      |   2
+--R         \|b x  + 2 \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 35
+
+--S 36 of 554
+t0207:= x/(a+b*x^2)^(1/2)/(c+d*x^2)^(1/2)
+--R 
+--R
+--R                    x
+--R   (31)  ----------------------
+--R          +--------+ +--------+
+--R          |   2      |   2
+--R         \|b x  + a \|d x  + c
+--R                                                    Type: Expression(Integer)
+--E 36
+
+--S 37 of 554
+r0207:= atanh(d^(1/2)*(a+b*x^2)^(1/2)/b^(1/2)/(c+d*x^2)^(1/2))/b^(1/2)/d^(1/2)
+--R 
+--R
+--R                    +--------+
+--R                +-+ |   2
+--R               \|d \|b x  + a
+--R         atanh(---------------)
+--R                    +--------+
+--R                +-+ |   2
+--R               \|b \|d x  + c
+--R   (32)  ----------------------
+--R                 +-+ +-+
+--R                \|b \|d
+--R                                                    Type: Expression(Integer)
+--E 37
+
+--S 38 of 554
+--a0207:= integrate(t0207,x)
+--E 38
+
+--S 39 of 554
+--m0207:= a0207-r0207
+--E 39
+
+--S 40 of 554
+--d0207:= D(m0207,x)
+--E 40
+
+--S 41 of 554
+t0208:= 1/(1-x^2)^(1/2)/(2+3*x^2)^(1/2)
+--R 
+--R
+--R                   1
+--R   (33)  ---------------------
+--R          +--------+ +-------+
+--R          |   2      |  2
+--R         \|- x  + 1 \|3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 41
+
+--S 42 of 554
+r0208:= 1/2*EllipticF(asin(x),3/2)*2^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                              Fraction(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 42
+
+--S 43 of 554
+a0208:= integrate(t0208,x)
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (34)   |   ----------------------- d%T
+--R         ++    +---------+ +--------+
+--R               |    2      |   2
+--R              \|- %T  + 1 \|3%T  + 2
+--R                                         Type: Union(Expression(Integer),...)
+--E 43
+
+--S 44 of 554
+m0208:= a0208-r0208
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (35)   |   ----------------------- d%T  - r0208
+--R         ++    +---------+ +--------+
+--R               |    2      |   2
+--R              \|- %T  + 1 \|3%T  + 2
+--R                                                    Type: Expression(Integer)
+--E 44
+
+--S 45 of 554
+d0208:= D(m0208,x)
+--R 
+--R
+--R                   1
+--R   (36)  ---------------------
+--R          +--------+ +-------+
+--R          |   2      |  2
+--R         \|- x  + 1 \|3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 45
+
+--S 46 of 554
+t0209:= 1/(1-x^2)^(1/2)/(2-3*x^2)^(1/2)
+--R 
+--R
+--R                    1
+--R   (37)  -----------------------
+--R          +---------+ +--------+
+--R          |    2      |   2
+--R         \|- 3x  + 2 \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 46
+
+--S 47 of 554
+r0209:= 1/2*EllipticF(asin(x),3/2)*2^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                              Fraction(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 47
+
+--S 48 of 554
+a0209:= integrate(t0209,x)
+--R 
+--R
+--R            x
+--R          ++              1
+--R   (38)   |   ------------------------- d%T
+--R         ++    +----------+ +---------+
+--R               |     2      |    2
+--R              \|- 3%T  + 2 \|- %T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 48
+
+--S 49 of 554
+m0209:= a0209-r0209
+--R 
+--R
+--R            x
+--R          ++              1
+--R   (39)   |   ------------------------- d%T  - r0209
+--R         ++    +----------+ +---------+
+--R               |     2      |    2
+--R              \|- 3%T  + 2 \|- %T  + 1
+--R                                                    Type: Expression(Integer)
+--E 49
+
+--S 50 of 554
+d0209:= D(m0209,x)
+--R 
+--R
+--R                    1
+--R   (40)  -----------------------
+--R          +---------+ +--------+
+--R          |    2      |   2
+--R         \|- 3x  + 2 \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 50
+
+--S 51 of 554
+t0210:= 1/(4-x^2)^(1/2)/(2+3*x^2)^(1/2)
+--R 
+--R
+--R                   1
+--R   (41)  ---------------------
+--R          +--------+ +-------+
+--R          |   2      |  2
+--R         \|- x  + 4 \|3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 51
+
+--S 52 of 554
+r0210:= 1/2*EllipticF(asin(1/2*x),6)*2^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                               PositiveInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 52
+
+--S 53 of 554
+a0210:= integrate(t0210,x)
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (42)   |   ----------------------- d%T
+--R         ++    +---------+ +--------+
+--R               |    2      |   2
+--R              \|- %T  + 4 \|3%T  + 2
+--R                                         Type: Union(Expression(Integer),...)
+--E 53
+
+--S 54 of 554
+m0210:= a0210-r0210
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (43)   |   ----------------------- d%T  - r0210
+--R         ++    +---------+ +--------+
+--R               |    2      |   2
+--R              \|- %T  + 4 \|3%T  + 2
+--R                                                    Type: Expression(Integer)
+--E 54
+
+--S 55 of 554
+d0210:= D(m0210,x)
+--R 
+--R
+--R                   1
+--R   (44)  ---------------------
+--R          +--------+ +-------+
+--R          |   2      |  2
+--R         \|- x  + 4 \|3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 55
+
+--S 56 of 554
+t0211:= 1/(4-x^2)^(1/2)/(2-3*x^2)^(1/2)
+--R 
+--R
+--R                    1
+--R   (45)  -----------------------
+--R          +---------+ +--------+
+--R          |    2      |   2
+--R         \|- 3x  + 2 \|- x  + 4
+--R                                                    Type: Expression(Integer)
+--E 56
+
+--S 57 of 554
+r0211:= 1/2*EllipticF(asin(1/2*x),6)*2^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                               PositiveInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 57
+
+--S 58 of 554
+a0211:= integrate(t0211,x)
+--R 
+--R
+--R            x
+--R          ++              1
+--R   (46)   |   ------------------------- d%T
+--R         ++    +----------+ +---------+
+--R               |     2      |    2
+--R              \|- 3%T  + 2 \|- %T  + 4
+--R                                         Type: Union(Expression(Integer),...)
+--E 58
+
+--S 59 of 554
+m0211:= a0211-r0211
+--R 
+--R
+--R            x
+--R          ++              1
+--R   (47)   |   ------------------------- d%T  - r0211
+--R         ++    +----------+ +---------+
+--R               |     2      |    2
+--R              \|- 3%T  + 2 \|- %T  + 4
+--R                                                    Type: Expression(Integer)
+--E 59
+
+--S 60 of 554
+d0211:= D(m0211,x)
+--R 
+--R
+--R                    1
+--R   (48)  -----------------------
+--R          +---------+ +--------+
+--R          |    2      |   2
+--R         \|- 3x  + 2 \|- x  + 4
+--R                                                    Type: Expression(Integer)
+--E 60
+
+--S 61 of 554
+t0212:= 1/(1-4*x^2)^(1/2)/(2+3*x^2)^(1/2)
+--R 
+--R
+--R                    1
+--R   (49)  ----------------------
+--R          +---------+ +-------+
+--R          |    2      |  2
+--R         \|- 4x  + 1 \|3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 61
+
+--S 62 of 554
+r0212:= 1/4*EllipticF(asin(2*x),3/8)*2^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                              Fraction(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 62
+
+--S 63 of 554
+a0212:= integrate(t0212,x)
+--R 
+--R
+--R            x
+--R          ++              1
+--R   (50)   |   ------------------------ d%T
+--R         ++    +----------+ +--------+
+--R               |     2      |   2
+--R              \|- 4%T  + 1 \|3%T  + 2
+--R                                         Type: Union(Expression(Integer),...)
+--E 63
+
+--S 64 of 554
+m0212:= a0212-r0212
+--R 
+--R
+--R            x
+--R          ++              1
+--R   (51)   |   ------------------------ d%T  - r0212
+--R         ++    +----------+ +--------+
+--R               |     2      |   2
+--R              \|- 4%T  + 1 \|3%T  + 2
+--R                                                    Type: Expression(Integer)
+--E 64
+
+--S 65 of 554
+d0212:= D(m0212,x)
+--R 
+--R
+--R                    1
+--R   (52)  ----------------------
+--R          +---------+ +-------+
+--R          |    2      |  2
+--R         \|- 4x  + 1 \|3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 65
+
+--S 66 of 554
+t0213:= 1/(1-4*x^2)^(1/2)/(2-3*x^2)^(1/2)
+--R 
+--R
+--R                     1
+--R   (53)  ------------------------
+--R          +---------+ +---------+
+--R          |    2      |    2
+--R         \|- 4x  + 1 \|- 3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 66
+
+--S 67 of 554
+r0213:= 1/4*EllipticF(asin(2*x),3/8)*2^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                              Fraction(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 67
+
+--S 68 of 554
+a0213:= integrate(t0213,x)
+--R 
+--R
+--R            x
+--R          ++               1
+--R   (54)   |   -------------------------- d%T
+--R         ++    +----------+ +----------+
+--R               |     2      |     2
+--R              \|- 4%T  + 1 \|- 3%T  + 2
+--R                                         Type: Union(Expression(Integer),...)
+--E 68
+
+--S 69 of 554
+m0213:= a0213-r0213
+--R 
+--R
+--R            x
+--R          ++               1
+--R   (55)   |   -------------------------- d%T  - r0213
+--R         ++    +----------+ +----------+
+--R               |     2      |     2
+--R              \|- 4%T  + 1 \|- 3%T  + 2
+--R                                                    Type: Expression(Integer)
+--E 69
+
+--S 70 of 554
+d0213:= D(m0213,x)
+--R 
+--R
+--R                     1
+--R   (56)  ------------------------
+--R          +---------+ +---------+
+--R          |    2      |    2
+--R         \|- 4x  + 1 \|- 3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 70
+
+--S 71 of 554
+t0214:= 1/(1+x^2)^(1/2)/(2+3*x^2)^(1/2)
+--R 
+--R
+--R                  1
+--R   (57)  -------------------
+--R          +------+ +-------+
+--R          | 2      |  2
+--R         \|x  + 1 \|3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 71
+
+--S 72 of 554
+r0214:= -1/2*%i*EllipticF(%i*asinh(x),3/2)*2^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                        Expression(Complex(Integer))
+--R                              Fraction(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 72
+
+--S 73 of 554
+a0214:= integrate(t0214,x)
+--R 
+--R
+--R            x
+--R          ++            1
+--R   (58)   |   --------------------- d%T
+--R         ++    +-------+ +--------+
+--R               |  2      |   2
+--R              \|%T  + 1 \|3%T  + 2
+--R                                         Type: Union(Expression(Integer),...)
+--E 73
+
+--S 74 of 554
+m0214:= a0214-r0214
+--R 
+--R
+--R            x
+--R          ++            1
+--R   (59)   |   --------------------- d%T  - r0214
+--R         ++    +-------+ +--------+
+--R               |  2      |   2
+--R              \|%T  + 1 \|3%T  + 2
+--R                                                    Type: Expression(Integer)
+--E 74
+
+--S 75 of 554
+d0214:= D(m0214,x)
+--R 
+--R
+--R                  1
+--R   (60)  -------------------
+--R          +------+ +-------+
+--R          | 2      |  2
+--R         \|x  + 1 \|3x  + 2
+--R                                                    Type: Expression(Integer)
+--E 75
+
+--S 76 of 554
+t0215:= 1/(1+x^2)^(1/2)/(2-3*x^2)^(1/2)
+--R 
+--R
+--R                   1
+--R   (61)  ---------------------
+--R          +---------+ +------+
+--R          |    2      | 2
+--R         \|- 3x  + 2 \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 76
+
+--S 77 of 554
+r0215:= 1/3*EllipticF(asin(1/2*6^(1/2)*x),2/3)*3^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                              Fraction(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 77
+
+--S 78 of 554
+a0215:= integrate(t0215,x)
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (62)   |   ----------------------- d%T
+--R         ++    +----------+ +-------+
+--R               |     2      |  2
+--R              \|- 3%T  + 2 \|%T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 78
+
+--S 79 of 554
+m0215:= a0215-r0215
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (63)   |   ----------------------- d%T  - r0215
+--R         ++    +----------+ +-------+
+--R               |     2      |  2
+--R              \|- 3%T  + 2 \|%T  + 1
+--R                                                    Type: Expression(Integer)
+--E 79
+
+--S 80 of 554
+d0215:= D(m0215,x)
+--R 
+--R
+--R                   1
+--R   (64)  ---------------------
+--R          +---------+ +------+
+--R          |    2      | 2
+--R         \|- 3x  + 2 \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 80
+
+--S 81 of 554
+t0216:= 1/(4+x^2)^(1/2)/(2-3*x^2)^(1/2)
+--R 
+--R
+--R                   1
+--R   (65)  ---------------------
+--R          +---------+ +------+
+--R          |    2      | 2
+--R         \|- 3x  + 2 \|x  + 4
+--R                                                    Type: Expression(Integer)
+--E 81
+
+--S 82 of 554
+r0216:= 1/6*EllipticF(asin(1/2*6^(1/2)*x),1/6)*3^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                              Fraction(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 82
+
+--S 83 of 554
+a0216:= integrate(t0216,x)
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (66)   |   ----------------------- d%T
+--R         ++    +----------+ +-------+
+--R               |     2      |  2
+--R              \|- 3%T  + 2 \|%T  + 4
+--R                                         Type: Union(Expression(Integer),...)
+--E 83
+
+--S 84 of 554
+m0216:= a0216-r0216
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (67)   |   ----------------------- d%T  - r0216
+--R         ++    +----------+ +-------+
+--R               |     2      |  2
+--R              \|- 3%T  + 2 \|%T  + 4
+--R                                                    Type: Expression(Integer)
+--E 84
+
+--S 85 of 554
+d0216:= D(m0216,x)
+--R 
+--R
+--R                   1
+--R   (68)  ---------------------
+--R          +---------+ +------+
+--R          |    2      | 2
+--R         \|- 3x  + 2 \|x  + 4
+--R                                                    Type: Expression(Integer)
+--E 85
+
+--S 86 of 554
+t0217:= 1/(1+4*x^2)^(1/2)/(2+3*x^2)^(1/2)
+--R 
+--R
+--R                   1
+--R   (69)  --------------------
+--R          +-------+ +-------+
+--R          |  2      |  2
+--R         \|3x  + 2 \|4x  + 1
+--R                                                    Type: Expression(Integer)
+--E 86
+
+--S 87 of 554
+r0217:= -1/4*%i*EllipticF(%i*asinh(2*x),3/8)*2^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                        Expression(Complex(Integer))
+--R                              Fraction(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 87
+
+--S 88 of 554
+a0217:= integrate(t0217,x)
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (70)   |   ---------------------- d%T
+--R         ++    +--------+ +--------+
+--R               |   2      |   2
+--R              \|3%T  + 2 \|4%T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 88
+
+--S 89 of 554
+m0217:= a0217-r0217
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (71)   |   ---------------------- d%T  - r0217
+--R         ++    +--------+ +--------+
+--R               |   2      |   2
+--R              \|3%T  + 2 \|4%T  + 1
+--R                                                    Type: Expression(Integer)
+--E 89
+
+--S 90 of 554
+d0217:= D(m0217,x)
+--R 
+--R
+--R                   1
+--R   (72)  --------------------
+--R          +-------+ +-------+
+--R          |  2      |  2
+--R         \|3x  + 2 \|4x  + 1
+--R                                                    Type: Expression(Integer)
+--E 90
+
+--S 91 of 554
+t0218:= 1/(1+4*x^2)^(1/2)/(2-3*x^2)^(1/2)
+--R 
+--R
+--R                    1
+--R   (73)  ----------------------
+--R          +---------+ +-------+
+--R          |    2      |  2
+--R         \|- 3x  + 2 \|4x  + 1
+--R                                                    Type: Expression(Integer)
+--E 91
+
+--S 92 of 554
+r0218:= 1/3*EllipticF(asin(1/2*6^(1/2)*x),8/3)*3^(1/2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                              Fraction(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 92
+
+--S 93 of 554
+a0218:= integrate(t0218,x)
+--R 
+--R
+--R            x
+--R          ++              1
+--R   (74)   |   ------------------------ d%T
+--R         ++    +----------+ +--------+
+--R               |     2      |   2
+--R              \|- 3%T  + 2 \|4%T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 93
+
+--S 94 of 554
+m0218:= a0218-r0218
+--R 
+--R
+--R            x
+--R          ++              1
+--R   (75)   |   ------------------------ d%T  - r0218
+--R         ++    +----------+ +--------+
+--R               |     2      |   2
+--R              \|- 3%T  + 2 \|4%T  + 1
+--R                                                    Type: Expression(Integer)
+--E 94
+
+--S 95 of 554
+d0218:= D(m0218,x)
+--R 
+--R
+--R                    1
+--R   (76)  ----------------------
+--R          +---------+ +-------+
+--R          |    2      |  2
+--R         \|- 3x  + 2 \|4x  + 1
+--R                                                    Type: Expression(Integer)
+--E 95
+
+--S 96 of 554
+t0219:= 1/(1-x^2)^(1/2)/(-1+2*x^2)^(1/2)
+--R 
+--R
+--R                   1
+--R   (77)  ---------------------
+--R          +--------+ +-------+
+--R          |   2      |  2
+--R         \|- x  + 1 \|2x  - 1
+--R                                                    Type: Expression(Integer)
+--E 96
+
+--S 97 of 554
+r0219:= -EllipticF(acos(x),2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                             Expression(Integer)
+--R                               PositiveInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 97
+
+--S 98 of 554
+a0219:= integrate(t0219,x)
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (78)   |   ----------------------- d%T
+--R         ++    +---------+ +--------+
+--R               |    2      |   2
+--R              \|- %T  + 1 \|2%T  - 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 98
+
+--S 99 of 554
+m0219:= a0219-r0219
+--R 
+--R
+--R            x
+--R          ++             1
+--R   (79)   |   ----------------------- d%T  - r0219
+--R         ++    +---------+ +--------+
+--R               |    2      |   2
+--R              \|- %T  + 1 \|2%T  - 1
+--R                                                    Type: Expression(Integer)
+--E 99
+
+--S 100 of 554
+d0219:= D(m0219,x)
+--R 
+--R
+--R                   1
+--R   (80)  ---------------------
+--R          +--------+ +-------+
+--R          |   2      |  2
+--R         \|- x  + 1 \|2x  - 1
+--R                                                    Type: Expression(Integer)
+--E 100
+
+--S 101 of 554
+t0220:= 1/(-1+x)^(1/2)/(1+x)^(1/2)/(-1+2*x^2)^(1/2)
+--R 
+--R
+--R                      1
+--R   (81)  --------------------------
+--R                          +-------+
+--R          +-----+ +-----+ |  2
+--R         \|x - 1 \|x + 1 \|2x  - 1
+--R                                                    Type: Expression(Integer)
+--E 101
+
+--S 102 of 554
+r0220:= -%i*EllipticF(%i*acosh(x),2)
+--R 
+--R   There are no library operations named EllipticF 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticF
+--R      to learn if there is any operation containing " EllipticF " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticF with argument type(s) 
+--R                        Expression(Complex(Integer))
+--R                               PositiveInteger
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 102
+
+--S 103 of 554
+a0220:= integrate(t0220,x)
+--R 
+--R
+--R            x
+--R          ++                1
+--R   (82)   |   ----------------------------- d%T
+--R         ++                      +--------+
+--R               +------+ +------+ |   2
+--R              \|%T - 1 \|%T + 1 \|2%T  - 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 103
+
+--S 104 of 554
+m0220:= a0220-r0220
+--R 
+--R
+--R            x
+--R          ++                1
+--R   (83)   |   ----------------------------- d%T  - r0220
+--R         ++                      +--------+
+--R               +------+ +------+ |   2
+--R              \|%T - 1 \|%T + 1 \|2%T  - 1
+--R                                                    Type: Expression(Integer)
+--E 104
+
+--S 105 of 554
+d0220:= D(m0220,x)
+--R 
+--R
+--R                      1
+--R   (84)  --------------------------
+--R                          +-------+
+--R          +-----+ +-----+ |  2
+--R         \|x - 1 \|x + 1 \|2x  - 1
+--R                                                    Type: Expression(Integer)
+--E 105
+
+--S 106 of 554
+t0221:= (2+b*x^2)^(1/2)/(3+d*x^2)^(1/2)
+--R 
+--R
+--R          +--------+
+--R          |   2
+--R         \|b x  + 2
+--R   (85)  -----------
+--R          +--------+
+--R          |   2
+--R         \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 106
+
+--S 107 of 554
+r0221:= 2^(1/2)*EllipticE(asin(1/3*(-d)^(1/2)*x*3^(1/2)),3/2*b/d)/(-d)^(1/2)
+--R 
+--R   There are no library operations named EllipticE 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticE
+--R      to learn if there is any operation containing " EllipticE " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticE with argument type(s) 
+--R                             Expression(Integer)
+--R                   Fraction(Polynomial(Fraction(Integer)))
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 107
+
+--S 108 of 554
+a0221:= integrate(t0221,x)
+--R 
+--R
+--R               +--------+
+--R            x  |  2
+--R          ++  \|%T b + 2
+--R   (86)   |   ----------- d%T
+--R         ++    +--------+
+--R               |  2
+--R              \|%T d + 3
+--R                                         Type: Union(Expression(Integer),...)
+--E 108
+
+--S 109 of 554
+m0221:= a0221-r0221
+--R 
+--R
+--R               +--------+
+--R            x  |  2
+--R          ++  \|%T b + 2
+--R   (87)   |   ----------- d%T  - r0221
+--R         ++    +--------+
+--R               |  2
+--R              \|%T d + 3
+--R                                                    Type: Expression(Integer)
+--E 109
+
+--S 110 of 554
+d0221:= D(m0221,x)
+--R 
+--R
+--R          +--------+
+--R          |   2
+--R         \|b x  + 2
+--R   (88)  -----------
+--R          +--------+
+--R          |   2
+--R         \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 110
+
+--S 111 of 554
+t0222:= x*(2+b*x^2)^(1/2)/(3+d*x^2)^(1/2)
+--R 
+--R
+--R           +--------+
+--R           |   2
+--R         x\|b x  + 2
+--R   (89)  ------------
+--R           +--------+
+--R           |   2
+--R          \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 111
+
+--S 112 of 554
+r0222:= 1/2*(2+b*x^2)^(1/2)*(3+d*x^2)^(1/2)/d-1/2*(3*b-2*d)*_
+        atanh(d^(1/2)*(2+b*x^2)^(1/2)/b^(1/2)/(3+d*x^2)^(1/2))/b^(1/2)/d^(3/2)
+--R 
+--R
+--R                             +--------+
+--R                         +-+ |   2                  +--------+ +--------+
+--R                        \|d \|b x  + 2      +-+ +-+ |   2      |   2
+--R         (2d - 3b)atanh(---------------) + \|b \|d \|b x  + 2 \|d x  + 3
+--R                             +--------+
+--R                         +-+ |   2
+--R                        \|b \|d x  + 3
+--R   (90)  ----------------------------------------------------------------
+--R                                       +-+ +-+
+--R                                    2d\|b \|d
+--R                                                    Type: Expression(Integer)
+--E 112
+
+--S 113 of 554
+--a0222:= integrate(t0222,x)
+--E 113
+
+--S 114 of 554
+--m0222:= a0222-r0222
+--E 114
+
+--S 115 of 554
+--d0222:= D(m0222,x)
+--E 115
+
+--S 116 of 554
+t0223:= x^2*(2+b*x^2)^(1/2)/(3+d*x^2)^(1/2)
+--R 
+--R
+--R            +--------+
+--R          2 |   2
+--R         x \|b x  + 2
+--R   (91)  -------------
+--R           +--------+
+--R           |   2
+--R          \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 116
+
+--S 117 of 554
+r0223:= 1/3*x*(2+b*x^2)^(1/2)*(3+d*x^2)^(1/2)/d-_
+        2/3*(3*b-d)*EllipticE(asin(1/2*(-b)^(1/2)*x*2^(1/2)),2/3*d/b)*_
+        3^(1/2)/(-b)^(1/2)/d^2+2^(1/2)*(3*b-2*d)*_
+        EllipticF(asin(1/3*(-d)^(1/2)*x*3^(1/2)),3/2*b/d)/(-d)^(5/2)
+--R 
+--R   There are no library operations named EllipticE 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticE
+--R      to learn if there is any operation containing " EllipticE " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticE with argument type(s) 
+--R                             Expression(Integer)
+--R                   Fraction(Polynomial(Fraction(Integer)))
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 117
+
+--S 118 of 554
+a0223:= integrate(t0223,x)
+--R 
+--R
+--R                  +--------+
+--R            x   2 |  2
+--R          ++  %T \|%T b + 2
+--R   (92)   |   -------------- d%T
+--R         ++      +--------+
+--R                 |  2
+--R                \|%T d + 3
+--R                                         Type: Union(Expression(Integer),...)
+--E 118
+
+--S 119 of 554
+m0223:= a0223-r0223
+--R 
+--R
+--R                  +--------+
+--R            x   2 |  2
+--R          ++  %T \|%T b + 2
+--R   (93)   |   -------------- d%T  - r0223
+--R         ++      +--------+
+--R                 |  2
+--R                \|%T d + 3
+--R                                                    Type: Expression(Integer)
+--E 119
+
+--S 120 of 554
+d0223:= D(m0223,x)
+--R 
+--R
+--R            +--------+
+--R          2 |   2
+--R         x \|b x  + 2
+--R   (94)  -------------
+--R           +--------+
+--R           |   2
+--R          \|d x  + 3
+--R                                                    Type: Expression(Integer)
+--E 120
+
+--S 121 of 554
+t0224:= (a+b*x^2)^(1/2)/(c+d*x^2)^(1/2)
+--R 
+--R
+--R          +--------+
+--R          |   2
+--R         \|b x  + a
+--R   (95)  -----------
+--R          +--------+
+--R          |   2
+--R         \|d x  + c
+--R                                                    Type: Expression(Integer)
+--E 121
+
+--S 122 of 554
+r0224:= c^(1/2)*(a+b*x^2)^(1/2)*((c+d*x^2)/c)^(1/2)*_
+        EllipticE(asin((-d)^(1/2)*x/c^(1/2)),b*c/a/d)/(-d)^(1/2)/_
+        ((a+b*x^2)/a)^(1/2)/(c+d*x^2)^(1/2)
+--R 
+--R   There are no library operations named EllipticE 
+--R      Use HyperDoc Browse or issue
+--R                             )what op EllipticE
+--R      to learn if there is any operation containing " EllipticE " in 
+--R      its name.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named 
+--R      EllipticE with argument type(s) 
+--R                             Expression(Integer)
+--R                        Fraction(Polynomial(Integer))
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 122
+
+--S 123 of 554
+a0224:= integrate(t0224,x)
+--R 
+--R
+--R               +--------+
+--R            x  |  2
+--R          ++  \|%T b + a
+--R   (96)   |   ----------- d%T
+--R         ++    +--------+
+--R               |  2
+--R              \|%T d + c
+--R                                         Type: Union(Expression(Integer),...)
+--E 123
+
+--S 124 of 554
+m0224:= a0224-r0224
+--R 
+--R
+--R               +--------+
+--R            x  |  2
+--R          ++  \|%T b + a
+--R   (97)   |   ----------- d%T  - r0224
+--R         ++    +--------+
+--R               |  2
+--R              \|%T d + c
+--R                                                    Type: Expression(Integer)
+--E 124
+
+--S 125 of 554
+d0224:= D(m0224,x)
+--R 
+--R
+--R          +--------+
+--R          |   2
+--R         \|b x  + a
+--R   (98)  -----------
+--R          +--------+
+--R          |   2
+--R         \|d x  + c
+--R                                                    Type: Expression(Integer)
+--E 125
+
+--S 126 of 554
+t0225:= x*(a+b*x^2)^(1/2)/(c+d*x^2)^(1/2)
+--R 
+--R
+--R           +--------+
+--R           |   2
+--R         x\|b x  + a
+--R   (99)  ------------
+--R           +--------+
+--R           |   2
+--R          \|d x  + c
+--R                                                    Type: Expression(Integer)
+--E 126
+
+--S 127 of 554
+r0225:= 1/2*(a+b*x^2)^(1/2)*(c+d*x^2)^(1/2)/d-1/2*(b*c-a*d)*_
+        atanh(d^(1/2)*(a+b*x^2)^(1/2)/b^(1/2)/(c+d*x^2)^(1/2))/b^(1/2)/d^(3/2)
+--R 
+--R
+--R                                +--------+
+--R                            +-+ |   2                  +--------+ +--------+
+--R                           \|d \|b x  + a      +-+ +-+ |   2      |   2
+--R          (a d - b c)atanh(---------------) + \|b \|d \|b x  + a \|d x  + c
+--R                                +--------+
+--R                            +-+ |   2
+--R                           \|b \|d x  + c
+--R   (100)  ------------------------------------------------------------------
+--R                                         +-+ +-+
+--R                                      2d\|b \|d
+--R                                                    Type: Expression(Integer)
+--E 127
+
+--S 128 of 554
+--a0225:= integrate(t0225,x)
+--E 128
+
+--S 129 of 554
+--m0225:= a0225-r0225
+--E 129
+
+--S 130 of 554
+--d0225:= D(m0225,x)
+--E 130
+
+--S 131 of 554
+t0226:= x^2*(a+b*x^2)^(1/2)/(c+d*x^2)^(1/2)
+--R 
+--R
+--R             +--------+
+--R           2 |   2
+--R          x \|b x  + a
+--R   (101)  -------------
+--R            +--------+
+--R            |   2
+--R           \|d x  + c
+--R                                                    Type: Expression(Integer)
+--E 131
+
+--S 132 of 554
+r0226:= 1/3*x*(a+b*x^2)^(1/2)*(c+d*x^2)^(1/2)/d+1/3*%i*c*(2*b*c-a*d)*_
+        (1+b*x^2/a)^(1/2)*(1+d*x^2/c)^(1/2)*_
+        EllipticE(%i*asinh((b/a)^(1/2)*x),a*d/b/c)/(b/a)^(1/2)/d^2/_
+        (a+b*x^2)^(1/2)/(c+d*x^2)^(1/2)-2/3*%i*c*(b*c-a*d)*_
+        (1+b*x^2/a)^(1/2)*(1+d*x^2/c)^(1/2)*_
+        EllipticF(%i*asinh((b/a)^(1/2)*x),a*d/b/c)/(b/a)^(1/2)/_
+        d^2/(a+b*x^2)^(1/2)/(c+d*x^2)^(1/2)
+--R 
+--R   There are 37 exposed and 23 unexposed library operations named * 
+--R      having 2 argument(s) but none was determined to be applicable. 
+--R      Use HyperDoc Browse, or issue
+--R                                )display op *
+--R      to learn more about the available operations. Perhaps 
+--R      package-calling the operation or using coercions on the arguments
+--R      will allow you to apply the operation.
+--R 
+--RDaly Bug
+--R   Cannot find a definition or applicable library operation named * 
+--R      with argument type(s) 
+--R                   Polynomial(Complex(Fraction(Integer)))
+--R                             Expression(Integer)
+--R      
+--R      Perhaps you should use "@" to indicate the required return type, 
+--R      or "$" to specify which version of the function you need.
+--E 132
+
+--S 133 of 554
+a0226:= integrate(t0226,x)
+--R 
+--R
+--R                   +--------+
+--R             x   2 |  2
+--R           ++  %T \|%T b + a
+--R   (102)   |   -------------- d%T
+--R          ++      +--------+
+--R                  |  2
+--R                 \|%T d + c
+--R                                         Type: Union(Expression(Integer),...)
+--E 133
+
+--S 134 of 554
+m0226:= a0226-r0226
+--R 
+--R
+--R                   +--------+
+--R             x   2 |  2
+--R           ++  %T \|%T b + a
+--R   (103)   |   -------------- d%T  - r0226
+--R          ++      +--------+
+--R                  |  2
+--R                 \|%T d + c
+--R                                                    Type: Expression(Integer)
+--E 134
+
+--S 135 of 554
+d0226:= D(m0226,x)
+--R 
+--R
+--R             +--------+
+--R           2 |   2
+--R          x \|b x  + a
+--R   (104)  -------------
+--R            +--------+
+--R            |   2
+--R           \|d x  + c
+--R                                                    Type: Expression(Integer)
+--E 135
+
+--S 136 of 554
+t0227:= (x-(-4+x^2)^(1/2))^(1/2)
+--R 
+--R
+--R           +---------------+
+--R           |   +------+
+--R           |   | 2
+--R   (105)  \|- \|x  - 4  + x
+--R                                                    Type: Expression(Integer)
+--E 136
+
+--S 137 of 554
+r0227:= 2/3*(x-(-4+x^2)^(1/2))^(1/2)*(2*x+(-4+x^2)^(1/2))
+--R 
+--R
+--R                            +---------------+
+--R             +------+       |   +------+
+--R             | 2            |   | 2
+--R          (2\|x  - 4  + 4x)\|- \|x  - 4  + x
+--R   (106)  -----------------------------------
+--R                           3
+--R                                                    Type: Expression(Integer)
+--E 137
+
+--S 138 of 554
+a0227:= integrate(t0227,x)
+--R 
+--R
+--R               +------+
+--R               | 2          2
+--R          - 2x\|x  - 4  + 2x  + 8
+--R   (107)  -----------------------
+--R              +---------------+
+--R              |   +------+
+--R              |   | 2
+--R            3\|- \|x  - 4  + x
+--R                                         Type: Union(Expression(Integer),...)
+--E 138
+
+--S 139 of 554
+m0227:= a0227-r0227
+--R 
+--R
+--R   (108)  0
+--R                                                    Type: Expression(Integer)
+--E 139
+
+--S 140 of 554
+d0227:= D(m0227,x)
+--R 
+--R
+--R   (109)  0
+--R                                                    Type: Expression(Integer)
+--E 140
+
+--S 141 of 554
+t0228:= (1+(1-x^2)^(1/2))^(1/2)
+--R 
+--R
+--R           +---------------+
+--R           | +--------+
+--R           | |   2
+--R   (110)  \|\|- x  + 1  + 1
+--R                                                    Type: Expression(Integer)
+--E 141
+
+--S 142 of 554
+r0228:= 2/3*(1+x^2-(1-x^2)^(1/2))*(1+(1-x^2)^(1/2))^(1/2)/x
+--R 
+--R
+--R                                     +---------------+
+--R               +--------+            | +--------+
+--R               |   2          2      | |   2
+--R          (- 2\|- x  + 1  + 2x  + 2)\|\|- x  + 1  + 1
+--R   (111)  --------------------------------------------
+--R                               3x
+--R                                                    Type: Expression(Integer)
+--E 142
+
+--S 143 of 554
+a0228:= integrate(t0228,x)
+--R 
+--R
+--R                                     +---------------+
+--R               +--------+            | +--------+
+--R               |   2          2      | |   2
+--R          (- 2\|- x  + 1  + 2x  + 2)\|\|- x  + 1  + 1
+--R   (112)  --------------------------------------------
+--R                               3x
+--R                                         Type: Union(Expression(Integer),...)
+--E 143
+
+--S 144 of 554
+m0228:= a0228-r0228
+--R 
+--R
+--R   (113)  0
+--R                                                    Type: Expression(Integer)
+--E 144
+
+--S 145 of 554
+d0228:= D(m0228,x)
+--R 
+--R
+--R   (114)  0
+--R                                                    Type: Expression(Integer)
+--E 145
+
+--S 146 of 554
+t0229:= (-1+4*x^2)^(1/2)/(x+(-1+4*x^2)^(1/2))
+--R 
+--R
+--R             +-------+
+--R             |  2
+--R            \|4x  - 1
+--R   (115)  --------------
+--R           +-------+
+--R           |  2
+--R          \|4x  - 1  + x
+--R                                                    Type: Expression(Integer)
+--E 146
+
+--S 147 of 554
+r0229:= 4/3*x-1/3*(-1+4*x^2)^(1/2)-1/9*atanh(3^(1/2)*x)*3^(1/2)+_
+        1/9*atanh(3^(1/2)*(-1+4*x^2)^(1/2))*3^(1/2)
+--R 
+--R
+--R                         +-------+      +-------+
+--R           +-+       +-+ |  2           |  2         +-+        +-+
+--R          \|3 atanh(\|3 \|4x  - 1 ) - 3\|4x  - 1  - \|3 atanh(x\|3 ) + 12x
+--R   (116)  ----------------------------------------------------------------
+--R                                          9
+--R                                                    Type: Expression(Integer)
+--E 147
+
+--S 148 of 554
+a0229:= integrate(t0229,x)
+--R 
+--R
+--R   (117)
+--R           +-------+
+--R           |  2
+--R         (\|4x  - 1  - 2x)
+--R      *
+--R         log
+--R                                             +-------+
+--R                     3       +-+      2      |  2              4      2      +-+
+--R                ((24x  - 4x)\|3  - 24x  + 3)\|4x  - 1  + (- 48x  + 14x  - 1)\|3
+--R              + 
+--R                   3
+--R                48x  - 12x
+--R           /
+--R                          +-------+
+--R                  3       |  2           4      2
+--R              (12x  - 4x)\|4x  - 1  - 24x  + 11x  - 1
+--R     + 
+--R               2      +-+                  +-------+
+--R            (3x  + 1)\|3  - 6x        +-+  |  2
+--R       (log(------------------) + 12x\|3 )\|4x  - 1
+--R                    2
+--R                  3x  - 1
+--R     + 
+--R                   2      +-+
+--R                (3x  + 1)\|3  - 6x          2      +-+
+--R       - 2x log(------------------) + (- 24x  + 2)\|3
+--R                        2
+--R                      3x  - 1
+--R  /
+--R           +-------+
+--R       +-+ |  2            +-+
+--R     6\|3 \|4x  - 1  - 12x\|3
+--R                                         Type: Union(Expression(Integer),...)
+--E 148
+
+--S 149 of 554
+m0229:= a0229-r0229
+--R 
+--R
+--R   (118)
+--R       log
+--R                                           +-------+
+--R                   3       +-+      2      |  2              4      2      +-+
+--R              ((24x  - 4x)\|3  - 24x  + 3)\|4x  - 1  + (- 48x  + 14x  - 1)\|3
+--R            + 
+--R                 3
+--R              48x  - 12x
+--R         /
+--R                        +-------+
+--R                3       |  2           4      2
+--R            (12x  - 4x)\|4x  - 1  - 24x  + 11x  - 1
+--R     + 
+--R                     +-------+           2      +-+
+--R                 +-+ |  2             (3x  + 1)\|3  - 6x             +-+
+--R       - 2atanh(\|3 \|4x  - 1 ) + log(------------------) + 2atanh(x\|3 )
+--R                                              2
+--R                                            3x  - 1
+--R  /
+--R       +-+
+--R     6\|3
+--R                                                    Type: Expression(Integer)
+--E 149
+
+--S 150 of 554
+d0229:= D(m0229,x)
+--R 
+--R
+--R   (119)  0
+--R                                                    Type: Expression(Integer)
+--E 150
+
+--S 151 of 554
+t0230:= (-1+x+x^2)/(1+(1+x^2)^(1/2))
+--R 
+--R
+--R             2
+--R            x  + x - 1
+--R   (120)  -------------
+--R           +------+
+--R           | 2
+--R          \|x  + 1  + 1
+--R                                                    Type: Expression(Integer)
+--E 151
+
+--S 152 of 554
+r0230:= -1/x-x+(1+1/x+1/2*x)*(1+x^2)^(1/2)-1/2*asinh(x)-log(1+(1+x^2)^(1/2))
+--R 
+--R
+--R   (121)
+--R             +------+                      +------+
+--R             | 2               2           | 2                       2
+--R   - 2x log(\|x  + 1  + 1) + (x  + 2x + 2)\|x  + 1  - x asinh(x) - 2x  - 2
+--R   -----------------------------------------------------------------------
+--R                                      2x
+--R                                                    Type: Expression(Integer)
+--E 152
+
+--S 153 of 554
+a0230:= integrate(t0230,x)
+--R 
+--R
+--R   (122)
+--R                     +------+                  +------+
+--R             3       | 2          4     2      | 2
+--R       ((- 8x  - 2x)\|x  + 1  + 8x  + 6x )log(\|x  + 1  - x + 1)
+--R     + 
+--R                  +------+                  +------+
+--R           3      | 2          4     2      | 2
+--R       ((4x  + x)\|x  + 1  - 4x  - 3x )log(\|x  + 1  - x)
+--R     + 
+--R                   +------+                  +------+
+--R           3       | 2          4     2      | 2
+--R       ((8x  + 2x)\|x  + 1  - 8x  - 6x )log(\|x  + 1  - x - 1)
+--R     + 
+--R                                                               +------+
+--R             3                 5      4     3      2           | 2
+--R       ((- 8x  - 2x)log(x) - 4x  - 16x  - 3x  - 16x  - 4x - 2)\|x  + 1
+--R     + 
+--R          4     2            6      5     4      3     2
+--R       (8x  + 6x )log(x) + 4x  + 16x  + 5x  + 24x  + 5x  + 8x + 2
+--R  /
+--R                +------+
+--R        3       | 2          4     2
+--R     (8x  + 2x)\|x  + 1  - 8x  - 6x
+--R                                         Type: Union(Expression(Integer),...)
+--E 153
+
+--S 154 of 554
+m0230:= a0230-r0230
+--R 
+--R
+--R   (123)
+--R             +------+              +------+                 +------+
+--R             | 2                   | 2                      | 2
+--R       2log(\|x  + 1  + 1) - 2log(\|x  + 1  - x + 1) + log(\|x  + 1  - x)
+--R     + 
+--R             +------+
+--R             | 2
+--R       2log(\|x  + 1  - x - 1) - 2log(x) + asinh(x) + 2
+--R  /
+--R     2
+--R                                                    Type: Expression(Integer)
+--E 154
+
+--S 155 of 554
+d0230:= D(m0230,x)
+--R 
+--R
+--R   (124)  0
+--R                                                    Type: Expression(Integer)
+--E 155
+
+--S 156 of 554
+t0231:= (-1+x+x^2)/(1+x+(1+x^2)^(1/2))
+--R 
+--R
+--R               2
+--R              x  + x - 1
+--R   (125)  -----------------
+--R           +------+
+--R           | 2
+--R          \|x  + 1  + x + 1
+--R                                                    Type: Expression(Integer)
+--E 156
+
+--S 157 of 554
+r0231:= 1/2*x^2+1/6*x^3+1/12*(4-3*x-2*x^2)*(1+x^2)^(1/2)-_
+        1/4*asinh(x)-1/2*log(1+(1+x^2)^(1/2))
+--R 
+--R
+--R   (126)
+--R           +------+                         +------+
+--R           | 2                  2           | 2                      3     2
+--R   - 6log(\|x  + 1  + 1) + (- 2x  - 3x + 4)\|x  + 1  - 3asinh(x) + 2x  + 6x
+--R   -------------------------------------------------------------------------
+--R                                       12
+--R                                                    Type: Expression(Integer)
+--E 157
+
+--S 158 of 554
+a0231:= integrate(t0231,x)
+--R 
+--R
+--R   (127)
+--R                     +------+                   +------+
+--R              2      | 2           3            | 2
+--R       ((- 24x  - 6)\|x  + 1  + 24x  + 18x)log(\|x  + 1  - x + 1)
+--R     + 
+--R                   +------+                  +------+
+--R            2      | 2           3           | 2
+--R       ((12x  + 3)\|x  + 1  - 12x  - 9x)log(\|x  + 1  - x)
+--R     + 
+--R                   +------+                   +------+
+--R            2      | 2           3            | 2
+--R       ((24x  + 6)\|x  + 1  - 24x  - 18x)log(\|x  + 1  - x - 1)
+--R     + 
+--R                                                             +------+
+--R              2                 5      4     3      2        | 2
+--R       ((- 24x  - 6)log(x) + 16x  + 36x  - 8x  + 15x  - 12x)\|x  + 1
+--R     + 
+--R           3                   6      5      3      2
+--R       (24x  + 18x)log(x) - 16x  - 36x  - 33x  + 18x  - 3x + 4
+--R  /
+--R                 +------+
+--R         2       | 2           3
+--R     (48x  + 12)\|x  + 1  - 48x  - 36x
+--R                                         Type: Union(Expression(Integer),...)
+--E 158
+
+--S 159 of 554
+m0231:= a0231-r0231
+--R 
+--R
+--R   (128)
+--R             +------+              +------+                 +------+
+--R             | 2                   | 2                      | 2
+--R       2log(\|x  + 1  + 1) - 2log(\|x  + 1  - x + 1) + log(\|x  + 1  - x)
+--R     + 
+--R             +------+
+--R             | 2
+--R       2log(\|x  + 1  - x - 1) - 2log(x) + asinh(x)
+--R  /
+--R     4
+--R                                                    Type: Expression(Integer)
+--E 159
+
+--S 160 of 554
+d0231:= D(m0231,x)
+--R 
+--R
+--R   (129)  0
+--R                                                    Type: Expression(Integer)
+--E 160
+
+--S 161 of 554
+t0232:= x/(1-x^3)^(2/3)
+--R 
+--R
+--R                x
+--R   (130)  ------------
+--R           +--------+2
+--R          3|   3
+--R          \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 161
+
+--S 162 of 554
+r0232:= -1/3*atan(1/3*(1-2*x/(1-x^3)^(1/3))*3^(1/2))*3^(1/2)+_
+        1/6*log(1+x^2/(1-x^3)^(2/3)-x/(1-x^3)^(1/3))-1/3*log(1+x/(1-x^3)^(1/3))
+--R 
+--R
+--R   (131)
+--R               +--------+             +--------+2     +--------+
+--R              3|   3                 3|   3          3|   3         2
+--R              \|- x  + 1  + x        \|- x  + 1   - x\|- x  + 1  + x
+--R       - 2log(---------------) + log(--------------------------------)
+--R                 +--------+                     +--------+2
+--R                3|   3                         3|   3
+--R                \|- x  + 1                     \|- x  + 1
+--R     + 
+--R                        +--------+
+--R                    +-+3|   3           +-+
+--R           +-+     \|3 \|- x  + 1  - 2x\|3
+--R       - 2\|3 atan(------------------------)
+--R                           +--------+
+--R                          3|   3
+--R                         3\|- x  + 1
+--R  /
+--R     6
+--R                                                    Type: Expression(Integer)
+--E 162
+
+--S 163 of 554
+a0232:= integrate(t0232,x)
+--R 
+--R
+--R   (132)
+--R                +--------+2     +--------+                   +--------+
+--R               3|   3          3|   3         2             3|   3
+--R        +-+    \|- x  + 1   - x\|- x  + 1  + x       +-+    \|- x  + 1  + x
+--R       \|3 log(--------------------------------) - 2\|3 log(---------------)
+--R                               2                                   x
+--R                              x
+--R     + 
+--R                     +--------+
+--R                 +-+3|   3          +-+
+--R               2\|3 \|- x  + 1  - x\|3
+--R       - 6atan(------------------------)
+--R                          3x
+--R  /
+--R       +-+
+--R     6\|3
+--R                                         Type: Union(Expression(Integer),...)
+--E 163
+
+--S 164 of 554
+m0232:= a0232-r0232
+--R 
+--R
+--R   (133)
+--R                +--------+2     +--------+                   +--------+
+--R               3|   3          3|   3         2             3|   3
+--R        +-+    \|- x  + 1   - x\|- x  + 1  + x       +-+    \|- x  + 1  + x
+--R       \|3 log(--------------------------------) - 2\|3 log(---------------)
+--R                               2                                   x
+--R                              x
+--R     + 
+--R                 +--------+                 +--------+2     +--------+
+--R                3|   3                     3|   3          3|   3         2
+--R         +-+    \|- x  + 1  + x     +-+    \|- x  + 1   - x\|- x  + 1  + x
+--R       2\|3 log(---------------) - \|3 log(--------------------------------)
+--R                   +--------+                         +--------+2
+--R                  3|   3                             3|   3
+--R                  \|- x  + 1                         \|- x  + 1
+--R     + 
+--R                     +--------+                       +--------+
+--R                 +-+3|   3          +-+           +-+3|   3           +-+
+--R               2\|3 \|- x  + 1  - x\|3           \|3 \|- x  + 1  - 2x\|3
+--R       - 6atan(------------------------) + 6atan(------------------------)
+--R                          3x                             +--------+
+--R                                                        3|   3
+--R                                                       3\|- x  + 1
+--R  /
+--R       +-+
+--R     6\|3
+--R                                                    Type: Expression(Integer)
+--E 164
+
+--S 165 of 554
+d0232:= D(m0232,x)
+--R 
+--R
+--R   (134)  0
+--R                                                    Type: Expression(Integer)
+--E 165
+
+--S 166 of 554
+t0233:= x*(1-x^3)^(1/3)
+--R 
+--R
+--R            +--------+
+--R           3|   3
+--R   (135)  x\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 166
+
+--S 167 of 554
+r0233:= 1/3*x^2*(1-x^3)^(1/3)-1/9*atan(1/3*(1-2*x/(1-x^3)^(1/3))*3^(1/2))*_
+        3^(1/2)+1/18*log(1+x^2/(1-x^3)^(2/3)-x/(1-x^3)^(1/3))-_
+        1/9*log(1+x/(1-x^3)^(1/3))
+--R 
+--R
+--R   (136)
+--R               +--------+             +--------+2     +--------+
+--R              3|   3                 3|   3          3|   3         2
+--R              \|- x  + 1  + x        \|- x  + 1   - x\|- x  + 1  + x
+--R       - 2log(---------------) + log(--------------------------------)
+--R                 +--------+                     +--------+2
+--R                3|   3                         3|   3
+--R                \|- x  + 1                     \|- x  + 1
+--R     + 
+--R                        +--------+
+--R                    +-+3|   3           +-+         +--------+
+--R           +-+     \|3 \|- x  + 1  - 2x\|3       2 3|   3
+--R       - 2\|3 atan(------------------------) + 6x  \|- x  + 1
+--R                           +--------+
+--R                          3|   3
+--R                         3\|- x  + 1
+--R  /
+--R     18
+--R                                                    Type: Expression(Integer)
+--E 167
+
+--S 168 of 554
+a0233:= integrate(t0233,x)
+--R 
+--R
+--R   (137)
+--R                +--------+2     +--------+                   +--------+
+--R               3|   3          3|   3         2             3|   3
+--R        +-+    \|- x  + 1   - x\|- x  + 1  + x       +-+    \|- x  + 1  + x
+--R       \|3 log(--------------------------------) - 2\|3 log(---------------)
+--R                               2                                   x
+--R                              x
+--R     + 
+--R                     +--------+
+--R                 +-+3|   3          +-+            +--------+
+--R               2\|3 \|- x  + 1  - x\|3       2 +-+3|   3
+--R       - 6atan(------------------------) + 6x \|3 \|- x  + 1
+--R                          3x
+--R  /
+--R        +-+
+--R     18\|3
+--R                                         Type: Union(Expression(Integer),...)
+--E 168
+
+--S 169 of 554
+m0233:= a0233-r0233
+--R 
+--R
+--R   (138)
+--R                +--------+2     +--------+                   +--------+
+--R               3|   3          3|   3         2             3|   3
+--R        +-+    \|- x  + 1   - x\|- x  + 1  + x       +-+    \|- x  + 1  + x
+--R       \|3 log(--------------------------------) - 2\|3 log(---------------)
+--R                               2                                   x
+--R                              x
+--R     + 
+--R                 +--------+                 +--------+2     +--------+
+--R                3|   3                     3|   3          3|   3         2
+--R         +-+    \|- x  + 1  + x     +-+    \|- x  + 1   - x\|- x  + 1  + x
+--R       2\|3 log(---------------) - \|3 log(--------------------------------)
+--R                   +--------+                         +--------+2
+--R                  3|   3                             3|   3
+--R                  \|- x  + 1                         \|- x  + 1
+--R     + 
+--R                     +--------+                       +--------+
+--R                 +-+3|   3          +-+           +-+3|   3           +-+
+--R               2\|3 \|- x  + 1  - x\|3           \|3 \|- x  + 1  - 2x\|3
+--R       - 6atan(------------------------) + 6atan(------------------------)
+--R                          3x                             +--------+
+--R                                                        3|   3
+--R                                                       3\|- x  + 1
+--R  /
+--R        +-+
+--R     18\|3
+--R                                                    Type: Expression(Integer)
+--E 169
+
+--S 170 of 554
+d0233:= D(m0233,x)
+--R 
+--R
+--R   (139)  0
+--R                                                    Type: Expression(Integer)
+--E 170
+
+--S 171 of 554
+t0234:= (a+b*x^4)^(3/2)
+--R 
+--R
+--R                     +--------+
+--R              4      |   4
+--R   (140)  (b x  + a)\|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 171
+
+--S 172 of 554
+r0234:= 2/7*a*x*(a+b*x^4)^(1/2)+1/7*x*(a+b*x^4)^(3/2)+4/7*a^(9/4)*_
+        ((a+b*x^4)/a)^(1/2)*atanh(asin((-b)^(1/4)*x/a^(1/4)))/_
+        (-b)^(1/4)/(a+b*x^4)^(1/2)
+--R 
+--R
+--R   (141)
+--R            +--------+
+--R            |   4                 4+---+
+--R     2 4+-+ |b x  + a            x\|- b       2 9         5     2  4+---+
+--R   4a  \|a  |-------- atanh(asin(-------) + (b x  + 4a b x  + 3a x)\|- b
+--R           \|    a                 4+-+
+--R                                   \|a
+--R   ----------------------------------------------------------------------
+--R                                     +--------+
+--R                              4+---+ |   4
+--R                             7\|- b \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 172
+
+--S 173 of 554
+a0234:= integrate(t0234,x)
+--R 
+--R
+--R             x            +--------+
+--R           ++     4       |  4
+--R   (142)   |   (%T b + a)\|%T b + a d%T
+--R          ++
+--R                                         Type: Union(Expression(Integer),...)
+--E 173
+
+--S 174 of 554
+m0234:= a0234-r0234
+--R 
+--R
+--R   (143)
+--R                  +--------+
+--R                  |   4                 4+---+
+--R           2 4+-+ |b x  + a            x\|- b
+--R       - 4a  \|a  |-------- atanh(asin(-------))
+--R                 \|    a                 4+-+
+--R                                         \|a
+--R     + 
+--R               +--------+   x            +--------+
+--R        4+---+ |   4      ++     4       |  4
+--R       7\|- b \|b x  + a  |   (%T b + a)\|%T b + a d%T
+--R                         ++
+--R     + 
+--R           2 9         5     2  4+---+
+--R       (- b x  - 4a b x  - 3a x)\|- b
+--R  /
+--R             +--------+
+--R      4+---+ |   4
+--R     7\|- b \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 174
+
+--S 175 of 554
+d0234:= D(m0234,x)
+--R 
+--R
+--R   (144)
+--R            +--------+                     +--------+  +-----------------+
+--R            |   4           4+---+ 2       |   4       |4+-+2    2 4+---+2
+--R          2 |b x  + a      x\|- b        2 |b x  + a   |\|a   - x  \|- b
+--R       (4a  |-------- asin(-------)  - 4a  |-------- ) |-----------------
+--R           \|    a           4+-+         \|    a      |      4+-+2
+--R                             \|a                      \|      \|a
+--R     + 
+--R             4     2
+--R       4a b x  + 4a
+--R  /
+--R           +--------+                              +--------+
+--R           |   4      +--------+      4+---+ 2     |   4      +--------+
+--R           |b x  + a  |   4          x\|- b        |b x  + a  |   4
+--R       (7  |-------- \|b x  + a asin(-------) - 7  |-------- \|b x  + a)
+--R          \|    a                      4+-+       \|    a
+--R                                       \|a
+--R    *
+--R        +-----------------+
+--R        |4+-+2    2 4+---+2
+--R        |\|a   - x  \|- b
+--R        |-----------------
+--R        |      4+-+2
+--R       \|      \|a
+--R                                                    Type: Expression(Integer)
+--E 175
+
+--S 176 of 554
+t0235:= (a+b*x^4)^(1/2)
+--R 
+--R
+--R           +--------+
+--R           |   4
+--R   (145)  \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 176
+
+--S 177 of 554
+r0235:= 1/3*x*(a+b*x^4)^(1/2)+2/3*a^(5/4)*((a+b*x^4)/a)^(1/2)*_
+        atanh(asin((-b)^(1/4)*x/a^(1/4)))/(-b)^(1/4)/(a+b*x^4)^(1/2)
+--R 
+--R
+--R                 +--------+
+--R                 |   4                 4+---+
+--R            4+-+ |b x  + a            x\|- b          5       4+---+
+--R          2a\|a  |-------- atanh(asin(-------)) + (b x  + a x)\|- b
+--R                \|    a                 4+-+
+--R                                        \|a
+--R   (146)  ----------------------------------------------------------
+--R                                      +--------+
+--R                               4+---+ |   4
+--R                              3\|- b \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 177
+
+--S 178 of 554
+a0235:= integrate(t0235,x)
+--R 
+--R
+--R             x  +--------+
+--R           ++   |  4
+--R   (147)   |   \|%T b + a d%T
+--R          ++
+--R                                         Type: Union(Expression(Integer),...)
+--E 178
+
+--S 179 of 554
+m0235:= a0235-r0235
+--R 
+--R
+--R   (148)
+--R                +--------+
+--R                |   4                 4+---+
+--R           4+-+ |b x  + a            x\|- b
+--R       - 2a\|a  |-------- atanh(asin(-------))
+--R               \|    a                 4+-+
+--R                                       \|a
+--R     + 
+--R               +--------+   x  +--------+
+--R        4+---+ |   4      ++   |  4                   5       4+---+
+--R       3\|- b \|b x  + a  |   \|%T b + a d%T  + (- b x  - a x)\|- b
+--R                         ++
+--R  /
+--R             +--------+
+--R      4+---+ |   4
+--R     3\|- b \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 179
+
+--S 180 of 554
+d0235:= D(m0235,x)
+--R 
+--R
+--R   (149)
+--R           +--------+                    +--------+  +-----------------+
+--R           |   4           4+---+ 2      |   4       |4+-+2    2 4+---+2
+--R           |b x  + a      x\|- b         |b x  + a   |\|a   - x  \|- b         4
+--R       (2a |-------- asin(-------)  - 2a |-------- ) |-----------------  + 2b x
+--R          \|    a           4+-+        \|    a      |      4+-+2
+--R                            \|a                     \|      \|a
+--R     + 
+--R       2a
+--R  /
+--R           +--------+                              +--------+
+--R           |   4      +--------+      4+---+ 2     |   4      +--------+
+--R           |b x  + a  |   4          x\|- b        |b x  + a  |   4
+--R       (3  |-------- \|b x  + a asin(-------) - 3  |-------- \|b x  + a)
+--R          \|    a                      4+-+       \|    a
+--R                                       \|a
+--R    *
+--R        +-----------------+
+--R        |4+-+2    2 4+---+2
+--R        |\|a   - x  \|- b
+--R        |-----------------
+--R        |      4+-+2
+--R       \|      \|a
+--R                                                    Type: Expression(Integer)
+--E 180
+
+--S 181 of 554
+t0236:= 1/(a+b*x^4)^(1/2)
+--R 
+--R
+--R               1
+--R   (150)  -----------
+--R           +--------+
+--R           |   4
+--R          \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 181
+
+--S 182 of 554
+r0236:= a^(1/4)*((a+b*x^4)/a)^(1/2)*atanh(asin((-b)^(1/4)*x/a^(1/4)))/_
+        (-b)^(1/4)/(a+b*x^4)^(1/2)
+--R 
+--R
+--R               +--------+
+--R               |   4                 4+---+
+--R          4+-+ |b x  + a            x\|- b
+--R          \|a  |-------- atanh(asin(-------))
+--R              \|    a                 4+-+
+--R                                      \|a
+--R   (151)  -----------------------------------
+--R                          +--------+
+--R                   4+---+ |   4
+--R                   \|- b \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 182
+
+--S 183 of 554
+a0236:= integrate(t0236,x)
+--R 
+--R
+--R             x
+--R           ++       1
+--R   (152)   |   ----------- d%T
+--R          ++    +--------+
+--R                |  4
+--R               \|%T b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 183
+
+--S 184 of 554
+m0236:= a0236-r0236
+--R 
+--R
+--R   (153)
+--R              +--------+
+--R              |   4                 4+---+
+--R         4+-+ |b x  + a            x\|- b
+--R       - \|a  |-------- atanh(asin(-------))
+--R             \|    a                 4+-+
+--R                                     \|a
+--R     + 
+--R              +--------+   x
+--R       4+---+ |   4      ++       1
+--R       \|- b \|b x  + a  |   ----------- d%T
+--R                        ++    +--------+
+--R                              |  4
+--R                             \|%T b + a
+--R  /
+--R            +--------+
+--R     4+---+ |   4
+--R     \|- b \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 184
+
+--S 185 of 554
+d0236:= D(m0236,x)
+--R 
+--R
+--R   (154)
+--R        +--------+                   +--------+  +-----------------+
+--R        |   4           4+---+ 2     |   4       |4+-+2    2 4+---+2
+--R        |b x  + a      x\|- b        |b x  + a   |\|a   - x  \|- b        4
+--R     (a |-------- asin(-------)  - a |-------- ) |-----------------  + b x  + a
+--R       \|    a           4+-+       \|    a      |      4+-+2
+--R                         \|a                    \|      \|a
+--R  /
+--R          +--------+                              +--------+
+--R          |   4      +--------+      4+---+ 2     |   4      +--------+
+--R          |b x  + a  |   4          x\|- b        |b x  + a  |   4
+--R       (a |-------- \|b x  + a asin(-------)  - a |-------- \|b x  + a )
+--R         \|    a                      4+-+       \|    a
+--R                                      \|a
+--R    *
+--R        +-----------------+
+--R        |4+-+2    2 4+---+2
+--R        |\|a   - x  \|- b
+--R        |-----------------
+--R        |      4+-+2
+--R       \|      \|a
+--R                                                    Type: Expression(Integer)
+--E 185
+
+--S 186 of 554
+t0237:= 1/(a+b*x^4)^(3/2)
+--R 
+--R
+--R                    1
+--R   (155)  ---------------------
+--R                     +--------+
+--R              4      |   4
+--R          (b x  + a)\|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 186
+
+--S 187 of 554
+r0237:= 1/2*(x*a^(3/4)*(-b)^(1/4)+((a+b*x^4)/a)^(1/2)*_
+        atanh(asin((-b)^(1/4)*x/a^(1/4)))*a)/a^(7/4)/(a+b*x^4)^(1/2)/(-b)^(1/4)
+--R 
+--R
+--R            +--------+
+--R            |   4                 4+---+
+--R            |b x  + a            x\|- b       4+---+4+-+3
+--R          a |-------- atanh(asin(-------)) + x\|- b \|a
+--R           \|    a                 4+-+
+--R                                   \|a
+--R   (156)  -----------------------------------------------
+--R                                    +--------+
+--R                        4+---+4+-+3 |   4
+--R                      2a\|- b \|a  \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 187
+
+--S 188 of 554
+a0237:= integrate(t0237,x)
+--R 
+--R
+--R             x
+--R           ++            1
+--R   (157)   |   --------------------- d%T
+--R          ++              +--------+
+--R                  4       |  4
+--R               (%T b + a)\|%T b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 188
+
+--S 189 of 554
+m0237:= a0237-r0237
+--R 
+--R
+--R   (158)
+--R           +--------+
+--R           |   4                 4+---+
+--R           |b x  + a            x\|- b
+--R       - a |-------- atanh(asin(-------))
+--R          \|    a                 4+-+
+--R                                  \|a
+--R     + 
+--R                     +--------+   x
+--R         4+---+4+-+3 |   4      ++            1                   4+---+4+-+3
+--R       2a\|- b \|a  \|b x  + a  |   --------------------- d%T  - x\|- b \|a
+--R                               ++              +--------+
+--R                                       4       |  4
+--R                                    (%T b + a)\|%T b + a
+--R  /
+--R                   +--------+
+--R       4+---+4+-+3 |   4
+--R     2a\|- b \|a  \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 189
+
+--S 190 of 554
+d0237:= D(m0237,x)
+--R 
+--R
+--R   (159)
+--R        +--------+                   +--------+  +-----------------+
+--R        |   4           4+---+ 2     |   4       |4+-+2    2 4+---+2
+--R        |b x  + a      x\|- b        |b x  + a   |\|a   - x  \|- b        4
+--R     (a |-------- asin(-------)  - a |-------- ) |-----------------  + b x  + a
+--R       \|    a           4+-+       \|    a      |      4+-+2
+--R                         \|a                    \|      \|a
+--R  /
+--R            +--------+                                +--------+
+--R            |   4      +--------+      4+---+ 2       |   4      +--------+
+--R          2 |b x  + a  |   4          x\|- b        2 |b x  + a  |   4
+--R       (2a  |-------- \|b x  + a asin(-------)  - 2a  |-------- \|b x  + a )
+--R           \|    a                      4+-+         \|    a
+--R                                        \|a
+--R    *
+--R        +-----------------+
+--R        |4+-+2    2 4+---+2
+--R        |\|a   - x  \|- b
+--R        |-----------------
+--R        |      4+-+2
+--R       \|      \|a
+--R                                                    Type: Expression(Integer)
+--E 190
+
+--S 191 of 554
+t0238:= 1/(a+b*x^4)^(5/2)
+--R 
+--R
+--R                          1
+--R   (160)  --------------------------------
+--R                                +--------+
+--R            2 8         4    2  |   4
+--R          (b x  + 2a b x  + a )\|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 191
+
+--S 192 of 554
+r0238:= 1/6*x/a/(a+b*x^4)^(3/2)+5/12*x/a^2/(a+b*x^4)^(1/2)+_
+        5/12*((a+b*x^4)/a)^(1/2)*atanh(asin((-b)^(1/4)*x/a^(1/4)))/_
+        a^(7/4)/(-b)^(1/4)/(a+b*x^4)^(1/2)
+--R 
+--R
+--R   (161)
+--R                   +--------+
+--R                   |   4                 4+---+
+--R          4     2  |b x  + a            x\|- b           5        4+---+4+-+3
+--R   (5a b x  + 5a ) |-------- atanh(asin(-------)) + (5b x  + 7a x)\|- b \|a
+--R                  \|    a                 4+-+
+--R                                          \|a
+--R   --------------------------------------------------------------------------
+--R                                                  +--------+
+--R                         2   4      3 4+---+4+-+3 |   4
+--R                     (12a b x  + 12a )\|- b \|a  \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 192
+
+--S 193 of 554
+a0238:= integrate(t0238,x)
+--R 
+--R
+--R             x
+--R           ++                  1
+--R   (162)   |   --------------------------------- d%T
+--R          ++                          +--------+
+--R                  8 2      4       2  |  4
+--R               (%T b  + 2%T a b + a )\|%T b + a
+--R                                         Type: Union(Expression(Integer),...)
+--E 193
+
+--S 194 of 554
+m0238:= a0238-r0238
+--R 
+--R
+--R   (163)
+--R                         +--------+
+--R                         |   4                 4+---+
+--R                4     2  |b x  + a            x\|- b
+--R       (- 5a b x  - 5a ) |-------- atanh(asin(-------))
+--R                        \|    a                 4+-+
+--R                                                \|a
+--R     + 
+--R                                      +--------+
+--R             2   4      3 4+---+4+-+3 |   4
+--R         (12a b x  + 12a )\|- b \|a  \|b x  + a
+--R      *
+--R            x
+--R          ++                  1
+--R          |   --------------------------------- d%T
+--R         ++                          +--------+
+--R                 8 2      4       2  |  4
+--R              (%T b  + 2%T a b + a )\|%T b + a
+--R     + 
+--R              5        4+---+4+-+3
+--R       (- 5b x  - 7a x)\|- b \|a
+--R  /
+--R                                  +--------+
+--R         2   4      3 4+---+4+-+3 |   4
+--R     (12a b x  + 12a )\|- b \|a  \|b x  + a
+--R                                                    Type: Expression(Integer)
+--E 194
+
+--S 195 of 554
+d0238:= D(m0238,x)
+--R 
+--R
+--R   (164)
+--R           +--------+                    +--------+  +-----------------+
+--R           |   4           4+---+ 2      |   4       |4+-+2    2 4+---+2
+--R           |b x  + a      x\|- b         |b x  + a   |\|a   - x  \|- b         4
+--R       (5a |-------- asin(-------)  - 5a |-------- ) |-----------------  + 5b x
+--R          \|    a           4+-+        \|    a      |      4+-+2
+--R                            \|a                     \|      \|a
+--R     + 
+--R       5a
+--R  /
+--R             +--------+                                 +--------+
+--R             |   4      +--------+      4+---+ 2        |   4      +--------+
+--R           3 |b x  + a  |   4          x\|- b         3 |b x  + a  |   4
+--R       (12a  |-------- \|b x  + a asin(-------)  - 12a  |-------- \|b x  + a )
+--R            \|    a                      4+-+          \|    a
+--R                                         \|a
+--R    *
+--R        +-----------------+
+--R        |4+-+2    2 4+---+2
+--R        |\|a   - x  \|- b
+--R        |-----------------
+--R        |      4+-+2
+--R       \|      \|a
+--R                                                    Type: Expression(Integer)
+--E 195
+
+--S 196 of 554
+t0239:= (1+x^4)^(3/2)
+--R 
+--R
+--R                   +------+
+--R            4      | 4
+--R   (165)  (x  + 1)\|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 196
+
+--S 197 of 554
+r0239:= 2/7*x*(1+x^4)^(1/2)+1/7*x*(1+x^4)^(3/2)-4/7*(-1)^(3/4)*_
+        atanh(asin((-1)^(1/4)*x))
+--R 
+--R
+--R                                      +---+                       +------+
+--R               +---+                x\|- 1  + x       5       +-+ | 4
+--R          (- 4\|- 1  + 4)atanh(asin(-----------)) + (x  + 3x)\|2 \|x  + 1
+--R                                         +-+
+--R                                        \|2
+--R   (166)  ----------------------------------------------------------------
+--R                                          +-+
+--R                                        7\|2
+--R                                                    Type: Expression(Integer)
+--E 197
+
+--S 198 of 554
+a0239:= integrate(t0239,x)
+--R 
+--R
+--R             x           +-------+
+--R           ++     4      |  4
+--R   (167)   |   (%T  + 1)\|%T  + 1 d%T
+--R          ++
+--R                                         Type: Union(Expression(Integer),...)
+--E 198
+
+--S 199 of 554
+m0239:= a0239-r0239
+--R 
+--R
+--R   (168)
+--R               x           +-------+                                 +---+
+--R         +-+ ++     4      |  4               +---+                x\|- 1  + x
+--R       7\|2  |   (%T  + 1)\|%T  + 1 d%T  + (4\|- 1  - 4)atanh(asin(-----------))
+--R            ++                                                          +-+
+--R                                                                       \|2
+--R     + 
+--R                       +------+
+--R           5       +-+ | 4
+--R       (- x  - 3x)\|2 \|x  + 1
+--R  /
+--R       +-+
+--R     7\|2
+--R                                                    Type: Expression(Integer)
+--E 199
+
+--S 200 of 554
+d0239:= D(m0239,x)
+--R 
+--R
+--R            +------+            +---+     2      +--------------+
+--R            | 4               x\|- 1  + x        |   2 +---+
+--R          4\|x  + 1  + (4asin(-----------)  - 4)\|- x \|- 1  + 1
+--R                                   +-+
+--R                                  \|2
+--R   (169)  -------------------------------------------------------
+--R                     +---+     2      +--------------+ +------+
+--R                   x\|- 1  + x        |   2 +---+      | 4
+--R            (7asin(-----------)  - 7)\|- x \|- 1  + 1 \|x  + 1
+--R                        +-+
+--R                       \|2
+--R                                                    Type: Expression(Integer)
+--E 200
+
+--S 201 of 554
+t0240:= (1+x^4)^(1/2)
+--R 
+--R
+--R           +------+
+--R           | 4
+--R   (170)  \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 201
+
+--S 202 of 554
+r0240:= 1/3*x*(1+x^4)^(1/2)-2/3*(-1)^(3/4)*atanh(asin((-1)^(1/4)*x))
+--R 
+--R
+--R                                      +---+               +------+
+--R               +---+                x\|- 1  + x       +-+ | 4
+--R          (- 2\|- 1  + 2)atanh(asin(-----------)) + x\|2 \|x  + 1
+--R                                         +-+
+--R                                        \|2
+--R   (171)  --------------------------------------------------------
+--R                                      +-+
+--R                                    3\|2
+--R                                                    Type: Expression(Integer)
+--E 202
+
+--S 203 of 554
+a0240:= integrate(t0240,x)
+--R 
+--R
+--R             x  +-------+
+--R           ++   |  4
+--R   (172)   |   \|%T  + 1 d%T
+--R          ++
+--R                                         Type: Union(Expression(Integer),...)
+--E 203
+
+--S 204 of 554
+m0240:= a0240-r0240
+--R 
+--R
+--R   (173)
+--R               x  +-------+                                 +---+
+--R         +-+ ++   |  4               +---+                x\|- 1  + x
+--R       3\|2  |   \|%T  + 1 d%T  + (2\|- 1  - 2)atanh(asin(-----------))
+--R            ++                                                 +-+
+--R                                                              \|2
+--R     + 
+--R               +------+
+--R           +-+ | 4
+--R       - x\|2 \|x  + 1
+--R  /
+--R       +-+
+--R     3\|2
+--R                                                    Type: Expression(Integer)
+--E 204
+
+--S 205 of 554
+d0240:= D(m0240,x)
+--R 
+--R
+--R            +------+            +---+     2      +--------------+
+--R            | 4               x\|- 1  + x        |   2 +---+
+--R          2\|x  + 1  + (2asin(-----------)  - 2)\|- x \|- 1  + 1
+--R                                   +-+
+--R                                  \|2
+--R   (174)  -------------------------------------------------------
+--R                     +---+     2      +--------------+ +------+
+--R                   x\|- 1  + x        |   2 +---+      | 4
+--R            (3asin(-----------)  - 3)\|- x \|- 1  + 1 \|x  + 1
+--R                        +-+
+--R                       \|2
+--R                                                    Type: Expression(Integer)
+--E 205
+
+--S 206 of 554
+t0241:= 1/(1+x^4)^(1/2)
+--R 
+--R
+--R              1
+--R   (175)  ---------
+--R           +------+
+--R           | 4
+--R          \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 206
+
+--S 207 of 554
+r0241:= -(-1)^(3/4)*atanh(asin((-1)^(1/4)*x))
+--R 
+--R
+--R                                     +---+
+--R              +---+                x\|- 1  + x
+--R          (- \|- 1  + 1)atanh(asin(-----------))
+--R                                        +-+
+--R                                       \|2
+--R   (176)  --------------------------------------
+--R                            +-+
+--R                           \|2
+--R                                                    Type: Expression(Integer)
+--E 207
+
+--S 208 of 554
+a0241:= integrate(t0241,x)
+--R 
+--R
+--R             x
+--R           ++       1
+--R   (177)   |   ---------- d%T
+--R          ++    +-------+
+--R                |  4
+--R               \|%T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 208
+
+--S 209 of 554
+m0241:= a0241-r0241
+--R 
+--R
+--R                 x                                            +---+
+--R           +-+ ++       1              +---+                x\|- 1  + x
+--R          \|2  |   ---------- d%T  + (\|- 1  - 1)atanh(asin(-----------))
+--R              ++    +-------+                                    +-+
+--R                    |  4                                        \|2
+--R                   \|%T  + 1
+--R   (178)  ---------------------------------------------------------------
+--R                                         +-+
+--R                                        \|2
+--R                                                    Type: Expression(Integer)
+--E 209
+
+--S 210 of 554
+d0241:= D(m0241,x)
+--R 
+--R
+--R           +------+           +---+     2      +--------------+
+--R           | 4              x\|- 1  + x        |   2 +---+
+--R          \|x  + 1  + (asin(-----------)  - 1)\|- x \|- 1  + 1
+--R                                 +-+
+--R                                \|2
+--R   (179)  -----------------------------------------------------
+--R                    +---+     2      +--------------+ +------+
+--R                  x\|- 1  + x        |   2 +---+      | 4
+--R            (asin(-----------)  - 1)\|- x \|- 1  + 1 \|x  + 1
+--R                       +-+
+--R                      \|2
+--R                                                    Type: Expression(Integer)
+--E 210
+
+--S 211 of 554
+t0242:= 1/(1+x^4)^(3/2)
+--R 
+--R
+--R                  1
+--R   (180)  -----------------
+--R                   +------+
+--R            4      | 4
+--R          (x  + 1)\|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 211
+
+--S 212 of 554
+r0242:= 1/2*x/(1+x^4)^(1/2)-1/2*(-1)^(3/4)*atanh(asin((-1)^(1/4)*x))
+--R 
+--R
+--R                         +------+             +---+
+--R              +---+      | 4                x\|- 1  + x       +-+
+--R          (- \|- 1  + 1)\|x  + 1 atanh(asin(-----------)) + x\|2
+--R                                                 +-+
+--R                                                \|2
+--R   (181)  -------------------------------------------------------
+--R                                     +------+
+--R                                 +-+ | 4
+--R                               2\|2 \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 212
+
+--S 213 of 554
+a0242:= integrate(t0242,x)
+--R 
+--R
+--R             x
+--R           ++           1
+--R   (182)   |   ------------------- d%T
+--R          ++             +-------+
+--R                  4      |  4
+--R               (%T  + 1)\|%T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 213
+
+--S 214 of 554
+m0242:= a0242-r0242
+--R 
+--R
+--R   (183)
+--R             +------+   x
+--R         +-+ | 4      ++           1
+--R       2\|2 \|x  + 1  |   ------------------- d%T
+--R                     ++             +-------+
+--R                             4      |  4
+--R                          (%T  + 1)\|%T  + 1
+--R     + 
+--R                    +------+             +---+
+--R         +---+      | 4                x\|- 1  + x       +-+
+--R       (\|- 1  - 1)\|x  + 1 atanh(asin(-----------)) - x\|2
+--R                                            +-+
+--R                                           \|2
+--R  /
+--R           +------+
+--R       +-+ | 4
+--R     2\|2 \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 214
+
+--S 215 of 554
+d0242:= D(m0242,x)
+--R 
+--R
+--R           +------+           +---+     2      +--------------+
+--R           | 4              x\|- 1  + x        |   2 +---+
+--R          \|x  + 1  + (asin(-----------)  - 1)\|- x \|- 1  + 1
+--R                                 +-+
+--R                                \|2
+--R   (184)  -----------------------------------------------------
+--R                    +---+     2      +--------------+ +------+
+--R                  x\|- 1  + x        |   2 +---+      | 4
+--R           (2asin(-----------)  - 2)\|- x \|- 1  + 1 \|x  + 1
+--R                       +-+
+--R                      \|2
+--R                                                    Type: Expression(Integer)
+--E 215
+
+--S 216 of 554
+t0243:= 1/(1+x^4)^(5/2)
+--R 
+--R
+--R                     1
+--R   (185)  -----------------------
+--R                         +------+
+--R            8     4      | 4
+--R          (x  + 2x  + 1)\|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 216
+
+--S 217 of 554
+r0243:= 1/6*x/(1+x^4)^(3/2)+5/12*x/(1+x^4)^(1/2)-5/12*(-1)^(3/4)*_
+        atanh(asin((-1)^(1/4)*x))
+--R 
+--R
+--R   (186)
+--R                                     +------+             +---+
+--R             4      +---+     4      | 4                x\|- 1  + x
+--R       ((- 5x  - 5)\|- 1  + 5x  + 5)\|x  + 1 atanh(asin(-----------))
+--R                                                             +-+
+--R                                                            \|2
+--R     + 
+--R          5       +-+
+--R       (5x  + 7x)\|2
+--R  /
+--R                     +------+
+--R         4       +-+ | 4
+--R     (12x  + 12)\|2 \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 217
+
+--S 218 of 554
+a0243:= integrate(t0243,x)
+--R 
+--R
+--R             x
+--R           ++               1
+--R   (187)   |   -------------------------- d%T
+--R          ++                    +-------+
+--R                  8      4      |  4
+--R               (%T  + 2%T  + 1)\|%T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 218
+
+--S 219 of 554
+m0243:= a0243-r0243
+--R 
+--R
+--R   (188)
+--R                       +------+   x
+--R           4       +-+ | 4      ++               1
+--R       (12x  + 12)\|2 \|x  + 1  |   -------------------------- d%T
+--R                               ++                    +-------+
+--R                                       8      4      |  4
+--R                                    (%T  + 2%T  + 1)\|%T  + 1
+--R     + 
+--R                                   +------+             +---+
+--R           4      +---+     4      | 4                x\|- 1  + x
+--R       ((5x  + 5)\|- 1  - 5x  - 5)\|x  + 1 atanh(asin(-----------))
+--R                                                           +-+
+--R                                                          \|2
+--R     + 
+--R            5       +-+
+--R       (- 5x  - 7x)\|2
+--R  /
+--R                     +------+
+--R         4       +-+ | 4
+--R     (12x  + 12)\|2 \|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 219
+
+--S 220 of 554
+d0243:= D(m0243,x)
+--R 
+--R
+--R            +------+            +---+     2      +--------------+
+--R            | 4               x\|- 1  + x        |   2 +---+
+--R          5\|x  + 1  + (5asin(-----------)  - 5)\|- x \|- 1  + 1
+--R                                   +-+
+--R                                  \|2
+--R   (189)  -------------------------------------------------------
+--R                     +---+     2       +--------------+ +------+
+--R                   x\|- 1  + x         |   2 +---+      | 4
+--R           (12asin(-----------)  - 12)\|- x \|- 1  + 1 \|x  + 1
+--R                        +-+
+--R                       \|2
+--R                                                    Type: Expression(Integer)
+--E 220
+
+--S 221 of 554
+t0244:= (1-x^4)^(1/2)
+--R 
+--R
+--R           +--------+
+--R           |   4
+--R   (190)  \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 221
+
+--S 222 of 554
+r0244:= 1/3*x*(1-x^4)^(1/2)+2/3*atanh(asin(x))
+--R 
+--R
+--R                              +--------+
+--R                              |   4
+--R          2atanh(asin(x)) + x\|- x  + 1
+--R   (191)  ------------------------------
+--R                         3
+--R                                                    Type: Expression(Integer)
+--E 222
+
+--S 223 of 554
+a0244:= integrate(t0244,x)
+--R 
+--R
+--R             x  +---------+
+--R           ++   |    4
+--R   (192)   |   \|- %T  + 1 d%T
+--R          ++
+--R                                         Type: Union(Expression(Integer),...)
+--E 223
+
+--S 224 of 554
+m0244:= a0244-r0244
+--R 
+--R
+--R              x  +---------+                           +--------+
+--R            ++   |    4                                |   4
+--R          3 |   \|- %T  + 1 d%T  - 2atanh(asin(x)) - x\|- x  + 1
+--R           ++
+--R   (193)  -------------------------------------------------------
+--R                                     3
+--R                                                    Type: Expression(Integer)
+--E 224
+
+--S 225 of 554
+d0244:= D(m0244,x)
+--R 
+--R
+--R                          +--------+     +--------+
+--R                   2      |   2          |   4
+--R          (2asin(x)  - 2)\|- x  + 1  + 2\|- x  + 1
+--R   (194)  -----------------------------------------
+--R                            +--------+ +--------+
+--R                     2      |   4      |   2
+--R            (3asin(x)  - 3)\|- x  + 1 \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 225
+
+--S 226 of 554
+t0245:= 1/(1-x^4)^(1/2)
+--R 
+--R
+--R               1
+--R   (195)  -----------
+--R           +--------+
+--R           |   4
+--R          \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 226
+
+--S 227 of 554
+r0245:= atanh(asin(x))
+--R 
+--R
+--R   (196)  atanh(asin(x))
+--R                                                    Type: Expression(Integer)
+--E 227
+
+--S 228 of 554
+a0245:= integrate(t0245,x)
+--R 
+--R
+--R             x
+--R           ++        1
+--R   (197)   |   ------------ d%T
+--R          ++    +---------+
+--R                |    4
+--R               \|- %T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 228
+
+--S 229 of 554
+m0245:= a0245-r0245
+--R 
+--R
+--R             x
+--R           ++        1
+--R   (198)   |   ------------ d%T  - atanh(asin(x))
+--R          ++    +---------+
+--R                |    4
+--R               \|- %T  + 1
+--R                                                    Type: Expression(Integer)
+--E 229
+
+--S 230 of 554
+d0245:= D(m0245,x)
+--R 
+--R
+--R                         +--------+    +--------+
+--R                  2      |   2         |   4
+--R          (asin(x)  - 1)\|- x  + 1  + \|- x  + 1
+--R   (199)  ---------------------------------------
+--R                           +--------+ +--------+
+--R                    2      |   4      |   2
+--R            (asin(x)  - 1)\|- x  + 1 \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 230
+
+--S 231 of 554
+t0246:= 1/(1-x^4)^(3/2)
+--R 
+--R
+--R                     1
+--R   (200)  - -------------------
+--R                     +--------+
+--R              4      |   4
+--R            (x  - 1)\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 231
+
+--S 232 of 554
+r0246:= 1/2*x/(1-x^4)^(1/2)+1/2*atanh(asin(x))
+--R 
+--R
+--R           +--------+
+--R           |   4
+--R          \|- x  + 1 atanh(asin(x)) + x
+--R   (201)  -----------------------------
+--R                     +--------+
+--R                     |   4
+--R                   2\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 232
+
+--S 233 of 554
+a0246:= integrate(t0246,x)
+--R 
+--R
+--R             x
+--R           ++              1
+--R   (202)   |   - --------------------- d%T
+--R          ++               +---------+
+--R                    4      |    4
+--R                 (%T  - 1)\|- %T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 233
+
+--S 234 of 554
+m0246:= a0246-r0246
+--R 
+--R
+--R   (203)
+--R     +--------+   x                                 +--------+
+--R     |   4      ++              1                   |   4
+--R   2\|- x  + 1  |   - --------------------- d%T  - \|- x  + 1 atanh(asin(x)) - x
+--R               ++               +---------+
+--R                         4      |    4
+--R                      (%T  - 1)\|- %T  + 1
+--R   -----------------------------------------------------------------------------
+--R                                      +--------+
+--R                                      |   4
+--R                                    2\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 234
+
+--S 235 of 554
+d0246:= D(m0246,x)
+--R 
+--R
+--R                         +--------+    +--------+
+--R                  2      |   2         |   4
+--R          (asin(x)  - 1)\|- x  + 1  + \|- x  + 1
+--R   (204)  ---------------------------------------
+--R                           +--------+ +--------+
+--R                    2      |   4      |   2
+--R           (2asin(x)  - 2)\|- x  + 1 \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 235
+
+--S 236 of 554
+t0247:= 1/(1-x^4)^(5/2)
+--R 
+--R
+--R                      1
+--R   (205)  -------------------------
+--R                         +--------+
+--R            8     4      |   4
+--R          (x  - 2x  + 1)\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 236
+
+--S 237 of 554
+r0247:= 1/6*x/(1-x^4)^(3/2)+5/12*x/(1-x^4)^(1/2)+5/12*atanh(asin(x))
+--R 
+--R
+--R                    +--------+
+--R             4      |   4                        5
+--R          (5x  - 5)\|- x  + 1 atanh(asin(x)) + 5x  - 7x
+--R   (206)  ---------------------------------------------
+--R                                  +--------+
+--R                          4       |   4
+--R                      (12x  - 12)\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 237
+
+--S 238 of 554
+a0247:= integrate(t0247,x)
+--R 
+--R
+--R             x
+--R           ++                1
+--R   (207)   |   ---------------------------- d%T
+--R          ++                    +---------+
+--R                  8      4      |    4
+--R               (%T  - 2%T  + 1)\|- %T  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 238
+
+--S 239 of 554
+m0247:= a0247-r0247
+--R 
+--R
+--R   (208)
+--R                   +--------+   x
+--R           4       |   4      ++                1
+--R       (12x  - 12)\|- x  + 1  |   ---------------------------- d%T
+--R                             ++                    +---------+
+--R                                     8      4      |    4
+--R                                  (%T  - 2%T  + 1)\|- %T  + 1
+--R     + 
+--R                   +--------+
+--R            4      |   4                        5
+--R       (- 5x  + 5)\|- x  + 1 atanh(asin(x)) - 5x  + 7x
+--R  /
+--R                 +--------+
+--R         4       |   4
+--R     (12x  - 12)\|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 239
+
+--S 240 of 554
+d0247:= D(m0247,x)
+--R 
+--R
+--R                          +--------+     +--------+
+--R                   2      |   2          |   4
+--R          (5asin(x)  - 5)\|- x  + 1  + 5\|- x  + 1
+--R   (209)  -----------------------------------------
+--R                             +--------+ +--------+
+--R                     2       |   4      |   2
+--R           (12asin(x)  - 12)\|- x  + 1 \|- x  + 1
+--R                                                    Type: Expression(Integer)
+--E 240
+
+--S 241 of 554
+t0248:= 1/x/(1+x^6)^(1/2)
+--R 
+--R
+--R               1
+--R   (210)  ----------
+--R            +------+
+--R            | 6
+--R          x\|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 241
+
+--S 242 of 554
+r0248:= -1/3*atanh((1+x^6)^(1/2))
+--R 
+--R
+--R                   +------+
+--R                   | 6
+--R            atanh(\|x  + 1 )
+--R   (211)  - ----------------
+--R                    3
+--R                                                    Type: Expression(Integer)
+--E 242
+
+--S 243 of 554
+a0248:= integrate(t0248,x)
+--R 
+--R
+--R                 +------+             +------+
+--R                 | 6                  | 6
+--R          - log(\|x  + 1  + 1) + log(\|x  + 1  - 1)
+--R   (212)  -----------------------------------------
+--R                              6
+--R                                         Type: Union(Expression(Integer),...)
+--E 243
+
+--S 244 of 554
+m0248:= a0248-r0248
+--R 
+--R
+--R                 +------+             +------+                +------+
+--R                 | 6                  | 6                     | 6
+--R          - log(\|x  + 1  + 1) + log(\|x  + 1  - 1) + 2atanh(\|x  + 1 )
+--R   (213)  -------------------------------------------------------------
+--R                                        6
+--R                                                    Type: Expression(Integer)
+--E 244
+
+--S 245 of 554
+d0248:= D(m0248,x)
+--R 
+--R
+--R   (214)  0
+--R                                                    Type: Expression(Integer)
+--E 245
+
+--S 246 of 554
+t0249:= 1/x/(-25+x^6)^(1/2)
+--R 
+--R
+--R               1
+--R   (215)  -----------
+--R            +-------+
+--R            | 6
+--R          x\|x  - 25
+--R                                                    Type: Expression(Integer)
+--E 246
+
+--S 247 of 554
+r0249:= 1/15*atan(1/5*(-25+x^6)^(1/2))
+--R 
+--R
+--R                +-------+
+--R                | 6
+--R               \|x  - 25
+--R          atan(----------)
+--R                    5
+--R   (216)  ----------------
+--R                 15
+--R                                                    Type: Expression(Integer)
+--E 247
+
+--S 248 of 554
+a0249:= integrate(t0249,x)
+--R 
+--R
+--R                +-------+
+--R                | 6
+--R               \|x  - 25
+--R          atan(----------)
+--R                    5
+--R   (217)  ----------------
+--R                 15
+--R                                         Type: Union(Expression(Integer),...)
+--E 248
+
+--S 249 of 554
+m0249:= a0249-r0249
+--R 
+--R
+--R   (218)  0
+--R                                                    Type: Expression(Integer)
+--E 249
+
+--S 250 of 554
+d0249:= D(m0249,x)
+--R 
+--R
+--R   (219)  0
+--R                                                    Type: Expression(Integer)
+--E 250
+
+--S 251 of 554
+t0250:= x^8*(-1+4*x^6)^(1/2)
+--R 
+--R
+--R             +-------+
+--R           8 |  6
+--R   (220)  x \|4x  - 1
+--R                                                    Type: Expression(Integer)
+--E 251
+
+--S 252 of 554
+r0250:= -1/96*x^3*(-1+4*x^6)^(1/2)+1/12*x^9*(-1+4*x^6)^(1/2)-_
+        1/192*atanh(1/2*(-1+4*x^6)^(1/2)/x^3)
+--R 
+--R
+--R                   +-------+
+--R                   |  6                      +-------+
+--R                  \|4x  - 1         9     3  |  6
+--R          - atanh(----------) + (16x  - 2x )\|4x  - 1
+--R                        3
+--R                      2x
+--R   (221)  --------------------------------------------
+--R                               192
+--R                                                    Type: Expression(Integer)
+--E 252
+
+--S 253 of 554
+a0250:= integrate(t0250,x)
+--R 
+--R
+--R   (222)
+--R                     +-------+                          +-------+
+--R            9     3  |  6            12      6          |  6          3
+--R       ((64x  - 8x )\|4x  - 1  - 128x   + 32x  - 1)log(\|4x  - 1  - 2x )
+--R     + 
+--R                                         +-------+
+--R               21       15      9     3  |  6             24        18       12
+--R       (- 2048x   + 768x   - 80x  + 2x )\|4x  - 1  + 4096x   - 2048x   + 320x
+--R     + 
+--R            6
+--R       - 16x
+--R  /
+--R                        +-------+
+--R            9        3  |  6              12        6
+--R     (12288x  - 1536x )\|4x  - 1  - 24576x   + 6144x  - 192
+--R                                         Type: Union(Expression(Integer),...)
+--E 253
+
+--S 254 of 554
+m0250:= a0250-r0250
+--R 
+--R
+--R                                         +-------+
+--R               +-------+                 |  6
+--R               |  6          3          \|4x  - 1
+--R          log(\|4x  - 1  - 2x ) + atanh(----------)
+--R                                              3
+--R                                            2x
+--R   (223)  -----------------------------------------
+--R                             192
+--R                                                    Type: Expression(Integer)
+--E 254
+
+--S 255 of 554
+d0250:= D(m0250,x)
+--R 
+--R
+--R   (224)  0
+--R                                                    Type: Expression(Integer)
+--E 255
+
+--S 256 of 554
+t0251:= x^2*(-2+x^6)^(1/2)
+--R 
+--R
+--R             +------+
+--R           2 | 6
+--R   (225)  x \|x  - 2
+--R                                                    Type: Expression(Integer)
+--E 256
+
+--S 257 of 554
+r0251:= 1/6*x^3*(-2+x^6)^(1/2)-1/3*atanh((-2+x^6)^(1/2)/x^3)
+--R 
+--R
+--R                    +------+
+--R                    | 6            +------+
+--R                   \|x  - 2      3 | 6
+--R          - 2atanh(---------) + x \|x  - 2
+--R                        3
+--R                       x
+--R   (226)  ---------------------------------
+--R                          6
+--R                                                    Type: Expression(Integer)
+--E 257
+
+--S 258 of 554
+a0251:= integrate(t0251,x)
+--R 
+--R
+--R   (227)
+--R            +------+                +------+                     +------+
+--R          3 | 6          6          | 6         3        9    3  | 6         12
+--R       (2x \|x  - 2  - 2x  + 2)log(\|x  - 2  - x ) + (- x  + x )\|x  - 2  + x
+--R     + 
+--R           6
+--R       - 2x
+--R  /
+--R         +------+
+--R       3 | 6          6
+--R     6x \|x  - 2  - 6x  + 6
+--R                                         Type: Union(Expression(Integer),...)
+--E 258
+
+--S 259 of 554
+m0251:= a0251-r0251
+--R 
+--R
+--R                                       +------+
+--R               +------+                | 6
+--R               | 6         3          \|x  - 2
+--R          log(\|x  - 2  - x ) + atanh(---------)
+--R                                           3
+--R                                          x
+--R   (228)  --------------------------------------
+--R                             3
+--R                                                    Type: Expression(Integer)
+--E 259
+
+--S 260 of 554
+d0251:= D(m0251,x)
+--R 
+--R
+--R   (229)  0
+--R                                                    Type: Expression(Integer)
+--E 260
+
+--S 261 of 554
+t0252:= 1/x/(1+x^8)^(1/2)
+--R 
+--R
+--R               1
+--R   (230)  ----------
+--R            +------+
+--R            | 8
+--R          x\|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 261
+
+--S 262 of 554
+r0252:= -1/4*atanh((1+x^8)^(1/2))
+--R 
+--R
+--R                   +------+
+--R                   | 8
+--R            atanh(\|x  + 1 )
+--R   (231)  - ----------------
+--R                    4
+--R                                                    Type: Expression(Integer)
+--E 262
+
+--S 263 of 554
+a0252:= integrate(t0252,x)
+--R 
+--R
+--R                 +------+             +------+
+--R                 | 8                  | 8
+--R          - log(\|x  + 1  + 1) + log(\|x  + 1  - 1)
+--R   (232)  -----------------------------------------
+--R                              8
+--R                                         Type: Union(Expression(Integer),...)
+--E 263
+
+--S 264 of 554
+m0252:= a0252-r0252
+--R 
+--R
+--R                 +------+             +------+                +------+
+--R                 | 8                  | 8                     | 8
+--R          - log(\|x  + 1  + 1) + log(\|x  + 1  - 1) + 2atanh(\|x  + 1 )
+--R   (233)  -------------------------------------------------------------
+--R                                        8
+--R                                                    Type: Expression(Integer)
+--E 264
+
+--S 265 of 554
+d0252:= D(m0252,x)
+--R 
+--R
+--R   (234)  0
+--R                                                    Type: Expression(Integer)
+--E 265
+
+--S 266 of 554
+t0253:= x^3*(-2+x^8)^(1/2)
+--R 
+--R
+--R             +------+
+--R           3 | 8
+--R   (235)  x \|x  - 2
+--R                                                    Type: Expression(Integer)
+--E 266
+
+--S 267 of 554
+r0253:= 1/8*x^4*(-2+x^8)^(1/2)-1/4*atanh((-2+x^8)^(1/2)/x^4)
+--R 
+--R
+--R                    +------+
+--R                    | 8            +------+
+--R                   \|x  - 2      4 | 8
+--R          - 2atanh(---------) + x \|x  - 2
+--R                        4
+--R                       x
+--R   (236)  ---------------------------------
+--R                          8
+--R                                                    Type: Expression(Integer)
+--E 267
+
+--S 268 of 554
+a0253:= integrate(t0253,x)
+--R 
+--R
+--R   (237)
+--R            +------+                +------+                      +------+
+--R          4 | 8          8          | 8         4        12    4  | 8         16
+--R       (2x \|x  - 2  - 2x  + 2)log(\|x  - 2  - x ) + (- x   + x )\|x  - 2  + x
+--R     + 
+--R           8
+--R       - 2x
+--R  /
+--R         +------+
+--R       4 | 8          8
+--R     8x \|x  - 2  - 8x  + 8
+--R                                         Type: Union(Expression(Integer),...)
+--E 268
+
+--S 269 of 554
+m0253:= a0253-r0253
+--R 
+--R
+--R                                       +------+
+--R               +------+                | 8
+--R               | 8         4          \|x  - 2
+--R          log(\|x  - 2  - x ) + atanh(---------)
+--R                                           4
+--R                                          x
+--R   (238)  --------------------------------------
+--R                             4
+--R                                                    Type: Expression(Integer)
+--E 269
+
+--S 270 of 554
+d0253:= D(m0253,x)
+--R 
+--R
+--R   (239)  0
+--R                                                    Type: Expression(Integer)
+--E 270
+
+--S 271 of 554
+t0254:= (1+x^8)^(1/2)*(1+2*x^8)/(x+2*x^9+x^17)
+--R 
+--R
+--R                    +------+
+--R             8      | 8
+--R          (2x  + 1)\|x  + 1
+--R   (240)  ------------------
+--R              17     9
+--R             x   + 2x  + x
+--R                                                    Type: Expression(Integer)
+--E 271
+
+--S 272 of 554
+r0254:= -1/4/(1+x^8)^(1/2)-1/4*atanh((1+x^8)^(1/2))
+--R 
+--R
+--R             +------+       +------+
+--R             | 8            | 8
+--R          - \|x  + 1 atanh(\|x  + 1 ) - 1
+--R   (241)  -------------------------------
+--R                       +------+
+--R                       | 8
+--R                     4\|x  + 1
+--R                                                    Type: Expression(Integer)
+--E 272
+
+--S 273 of 554
+a0254:= integrate(t0254,x)
+--R 
+--R
+--R             +------+     +------+         +------+     +------+
+--R             | 8          | 8              | 8          | 8
+--R          - \|x  + 1 log(\|x  + 1  + 1) + \|x  + 1 log(\|x  + 1  - 1) - 2
+--R   (242)  ---------------------------------------------------------------
+--R                                       +------+
+--R                                       | 8
+--R                                     8\|x  + 1
+--R                                         Type: Union(Expression(Integer),...)
+--E 273
+
+--S 274 of 554
+m0254:= a0254-r0254
+--R 
+--R
+--R                 +------+             +------+                +------+
+--R                 | 8                  | 8                     | 8
+--R          - log(\|x  + 1  + 1) + log(\|x  + 1  - 1) + 2atanh(\|x  + 1 )
+--R   (243)  -------------------------------------------------------------
+--R                                        8
+--R                                                    Type: Expression(Integer)
+--E 274
+
+--S 275 of 554
+d0254:= D(m0254,x)
+--R 
+--R
+--R   (244)  0
+--R                                                    Type: Expression(Integer)
+--E 275
+
+--S 276 of 554
+t0255:= x^4/(-2+x^10)^(1/2)
+--R 
+--R
+--R               4
+--R              x
+--R   (245)  ----------
+--R           +-------+
+--R           | 10
+--R          \|x   - 2
+--R                                                    Type: Expression(Integer)
+--E 276
+
+--S 277 of 554
+r0255:= 1/5*atanh((-2+x^10)^(1/2)/x^5)
+--R 
+--R
+--R                 +-------+
+--R                 | 10
+--R                \|x   - 2
+--R          atanh(----------)
+--R                     5
+--R                    x
+--R   (246)  -----------------
+--R                  5
+--R                                                    Type: Expression(Integer)
+--E 277
+
+--S 278 of 554
+a0255:= integrate(t0255,x)
+--R 
+--R
+--R                 +-------+
+--R                 | 10         5
+--R            log(\|x   - 2  - x )
+--R   (247)  - --------------------
+--R                      5
+--R                                         Type: Union(Expression(Integer),...)
+--E 278
+
+--S 279 of 554
+m0255:= a0255-r0255
+--R 
+--R
+--R                                          +-------+
+--R                 +-------+                | 10
+--R                 | 10         5          \|x   - 2
+--R          - log(\|x   - 2  - x ) - atanh(----------)
+--R                                              5
+--R                                             x
+--R   (248)  ------------------------------------------
+--R                               5
+--R                                                    Type: Expression(Integer)
+--E 279
+
+--S 280 of 554
+d0255:= D(m0255,x)
+--R 
+--R
+--R   (249)  0
+--R                                                    Type: Expression(Integer)
+--E 280
+
+--S 281 of 554
+t0256:= x^31*(1+x^16)^(1/2)/(1-x^16)
+--R 
+--R
+--R                +-------+
+--R             31 | 16
+--R            x  \|x   + 1
+--R   (250)  - -------------
+--R                16
+--R               x   - 1
+--R                                                    Type: Expression(Integer)
+--E 281
+
+--S 282 of 554
+r0256:= -1/8*(1+x^16)^(1/2)-1/24*(1+x^16)^(3/2)+1/8*_
+        atanh(1/2*(1+x^16)^(1/2)*2^(1/2))*2^(1/2)
+--R 
+--R
+--R                          +-------+
+--R                      +-+ | 16                     +-------+
+--R            +-+      \|2 \|x   + 1         16      | 16
+--R          3\|2 atanh(--------------) + (- x   - 4)\|x   + 1
+--R                            2
+--R   (251)  --------------------------------------------------
+--R                                  24
+--R                                                    Type: Expression(Integer)
+--E 282
+
+--S 283 of 554
+a0256:= integrate(t0256,x)
+--R 
+--R
+--R                 +-------+
+--R                 | 16          16      +-+                    +-------+
+--R               4\|x   + 1  + (x   + 3)\|2         16      +-+ | 16
+--R          3log(---------------------------) + (- x   - 4)\|2 \|x   + 1
+--R                          16
+--R                         x   - 1
+--R   (252)  -------------------------------------------------------------
+--R                                         +-+
+--R                                      24\|2
+--R                                         Type: Union(Expression(Integer),...)
+--E 283
+
+--S 284 of 554
+m0256:= a0256-r0256
+--R 
+--R
+--R                +-------+                                +-------+
+--R                | 16          16      +-+            +-+ | 16
+--R              4\|x   + 1  + (x   + 3)\|2            \|2 \|x   + 1
+--R          log(---------------------------) - 2atanh(--------------)
+--R                         16                                2
+--R                        x   - 1
+--R   (253)  ---------------------------------------------------------
+--R                                      +-+
+--R                                    8\|2
+--R                                                    Type: Expression(Integer)
+--E 284
+
+--S 285 of 554
+d0256:= D(m0256,x)
+--R 
+--R
+--R   (254)  0
+--R                                                    Type: Expression(Integer)
+--E 285
+
+--S 286 of 554
+t0257:= x^3*(a+b/x)^(1/2)
+--R 
+--R
+--R             +-------+
+--R           3 |a x + b
+--R   (255)  x  |-------
+--R            \|   x
+--R                                                    Type: Expression(Integer)
+--E 286
+
+--S 287 of 554
+r0257:= 5/64*b^3*(a+b/x)^(1/2)*x/a^3-5/96*b^2*(a+b/x)^(1/2)*x^2/a^2+_
+        1/24*b*(a+b/x)^(1/2)*x^3/a+1/4*(a+b/x)^(1/2)*x^4-_
+        5/64*b^4*atanh((a+b/x)^(1/2)/a^(1/2))/a^(7/2)
+--R 
+--R
+--R   (256)
+--R                +-------+
+--R                |a x + b
+--R                |-------                                               +-------+
+--R        4      \|   x            3 4     2   3        2 2      3   +-+ |a x + b
+--R   - 15b atanh(----------) + (48a x  + 8a b x  - 10a b x  + 15b x)\|a  |-------
+--R                   +-+                                                \|   x
+--R                  \|a
+--R   -----------------------------------------------------------------------------
+--R                                         3 +-+
+--R                                     192a \|a
+--R                                                    Type: Expression(Integer)
+--E 287
+
+--S 288 of 554
+a0257:= integrate(t0257,x)
+--R 
+--R
+--R   (257)
+--R   [
+--R                        +-------+
+--R            4           |a x + b               +-+
+--R         15b log(- 2a x |-------  + (2a x + b)\|a )
+--R                       \|   x
+--R       + 
+--R                                                    +-------+
+--R             3 4      2   3        2 2      3   +-+ |a x + b
+--R         (96a x  + 16a b x  - 20a b x  + 30b x)\|a  |-------
+--R                                                   \|   x
+--R    /
+--R           3 +-+
+--R       384a \|a
+--R     ,
+--R
+--R                           +-------+
+--R                     +---+ |a x + b
+--R                    \|- a  |-------
+--R              4           \|   x
+--R         - 15b atan(----------------)
+--R                            a
+--R       + 
+--R                                                     +-------+
+--R             3 4     2   3        2 2      3   +---+ |a x + b
+--R         (48a x  + 8a b x  - 10a b x  + 15b x)\|- a  |-------
+--R                                                    \|   x
+--R    /
+--R           3 +---+
+--R       192a \|- a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 288
+
+--S 289 of 554
+m0257a:= a0257.1-r0257
+--R 
+--R
+--R                                                                 +-------+
+--R                                                                 |a x + b
+--R                        +-------+                                |-------
+--R            4           |a x + b               +-+       4      \|   x
+--R          5b log(- 2a x |-------  + (2a x + b)\|a ) + 10b atanh(----------)
+--R                       \|   x                                       +-+
+--R                                                                   \|a
+--R   (258)  -----------------------------------------------------------------
+--R                                          3 +-+
+--R                                      128a \|a
+--R                                                    Type: Expression(Integer)
+--E 289
+
+--S 290 of 554
+d0257a:= D(m0257a,x)
+--R 
+--R
+--R   (259)  0
+--R                                                    Type: Expression(Integer)
+--E 290
+
+--S 291 of 554
+m0257b:= a0257.2-r0257
+--R 
+--R
+--R                          +-------+                       +-------+
+--R                          |a x + b                  +---+ |a x + b
+--R                          |-------                 \|- a  |-------
+--R            4 +---+      \|   x          4 +-+           \|   x
+--R          5b \|- a atanh(----------) - 5b \|a atan(----------------)
+--R                             +-+                           a
+--R                            \|a
+--R   (260)  ----------------------------------------------------------
+--R                                   3 +---+ +-+
+--R                                64a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 291
+
+--S 292 of 554
+d0257b:= D(m0257b,x)
+--R 
+--R
+--R   (261)  0
+--R                                                    Type: Expression(Integer)
+--E 292
+
+--S 293 of 554
+t0258:= x^2*(a+b/x)^(1/2)
+--R 
+--R
+--R             +-------+
+--R           2 |a x + b
+--R   (262)  x  |-------
+--R            \|   x
+--R                                                    Type: Expression(Integer)
+--E 293
+
+--S 294 of 554
+r0258:= -1/8*b^2*(a+b/x)^(1/2)*x/a^2+1/12*b*(a+b/x)^(1/2)*x^2/a+_
+        1/3*x^3*(a+b/x)^(1/2)+1/8*b^3*atanh((a+b/x)^(1/2)/a^(1/2))/a^(5/2)
+--R 
+--R
+--R                    +-------+
+--R                    |a x + b
+--R                    |-------                                  +-------+
+--R            3      \|   x           2 3         2     2   +-+ |a x + b
+--R          3b atanh(----------) + (8a x  + 2a b x  - 3b x)\|a  |-------
+--R                       +-+                                   \|   x
+--R                      \|a
+--R   (263)  -------------------------------------------------------------
+--R                                        2 +-+
+--R                                     24a \|a
+--R                                                    Type: Expression(Integer)
+--E 294
+
+--S 295 of 554
+a0258:= integrate(t0258,x)
+--R 
+--R
+--R   (264)
+--R   [
+--R                     +-------+
+--R           3         |a x + b               +-+
+--R         3b log(2a x |-------  + (2a x + b)\|a )
+--R                    \|   x
+--R       + 
+--R                                       +-------+
+--R             2 3         2     2   +-+ |a x + b
+--R         (16a x  + 4a b x  - 6b x)\|a  |-------
+--R                                      \|   x
+--R    /
+--R          2 +-+
+--R       48a \|a
+--R     ,
+--R                   +-------+
+--R             +---+ |a x + b
+--R            \|- a  |-------                                    +-------+
+--R      3           \|   x           2 3         2     2   +---+ |a x + b
+--R    3b atan(----------------) + (8a x  + 2a b x  - 3b x)\|- a  |-------
+--R                    a                                         \|   x
+--R    --------------------------------------------------------------------]
+--R                                    2 +---+
+--R                                 24a \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 295
+
+--S 296 of 554
+m0258a:= a0258.1-r0258
+--R 
+--R
+--R                                                             +-------+
+--R                                                             |a x + b
+--R                     +-------+                               |-------
+--R           3         |a x + b               +-+      3      \|   x
+--R          b log(2a x |-------  + (2a x + b)\|a ) - 2b atanh(----------)
+--R                    \|   x                                      +-+
+--R                                                               \|a
+--R   (265)  -------------------------------------------------------------
+--R                                        2 +-+
+--R                                     16a \|a
+--R                                                    Type: Expression(Integer)
+--E 296
+
+--S 297 of 554
+d0258a:= D(m0258a,x)
+--R 
+--R
+--R   (266)  0
+--R                                                    Type: Expression(Integer)
+--E 297
+
+--S 298 of 554
+m0258b:= a0258.2-r0258
+--R 
+--R
+--R                           +-------+                      +-------+
+--R                           |a x + b                 +---+ |a x + b
+--R                           |-------                \|- a  |-------
+--R             3 +---+      \|   x         3 +-+           \|   x
+--R          - b \|- a atanh(----------) + b \|a atan(----------------)
+--R                              +-+                          a
+--R                             \|a
+--R   (267)  ----------------------------------------------------------
+--R                                   2 +---+ +-+
+--R                                 8a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 298
+
+--S 299 of 554
+d0258b:= D(m0258b,x)
+--R 
+--R
+--R   (268)  0
+--R                                                    Type: Expression(Integer)
+--E 299
+
+--S 300 of 554
+t0259:= x*(a+b/x)^(1/2)
+--R 
+--R
+--R            +-------+
+--R            |a x + b
+--R   (269)  x |-------
+--R           \|   x
+--R                                                    Type: Expression(Integer)
+--E 300
+
+--S 301 of 554
+r0259:= 1/4*b*(a+b/x)^(1/2)*x/a+1/2*x^2*(a+b/x)^(1/2)-_
+        1/4*b^2*atanh((a+b/x)^(1/2)/a^(1/2))/a^(3/2)
+--R 
+--R
+--R                     +-------+
+--R                     |a x + b
+--R                     |-------                       +-------+
+--R             2      \|   x             2        +-+ |a x + b
+--R          - b atanh(----------) + (2a x  + b x)\|a  |-------
+--R                        +-+                        \|   x
+--R                       \|a
+--R   (270)  ---------------------------------------------------
+--R                                    +-+
+--R                                 4a\|a
+--R                                                    Type: Expression(Integer)
+--E 301
+
+--S 302 of 554
+a0259:= integrate(t0259,x)
+--R 
+--R
+--R   (271)
+--R                 +-------+                                        +-------+
+--R     2           |a x + b               +-+         2         +-+ |a x + b
+--R    b log(- 2a x |-------  + (2a x + b)\|a ) + (4a x  + 2b x)\|a  |-------
+--R                \|   x                                           \|   x
+--R   [-----------------------------------------------------------------------,
+--R                                        +-+
+--R                                     8a\|a
+--R                    +-------+
+--R              +---+ |a x + b
+--R             \|- a  |-------                         +-------+
+--R       2           \|   x             2        +---+ |a x + b
+--R    - b atan(----------------) + (2a x  + b x)\|- a  |-------
+--R                     a                              \|   x
+--R    ----------------------------------------------------------]
+--R                                +---+
+--R                             4a\|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 302
+
+--S 303 of 554
+m0259a:= a0259.1-r0259
+--R 
+--R
+--R                                                               +-------+
+--R                                                               |a x + b
+--R                       +-------+                               |-------
+--R           2           |a x + b               +-+      2      \|   x
+--R          b log(- 2a x |-------  + (2a x + b)\|a ) + 2b atanh(----------)
+--R                      \|   x                                      +-+
+--R                                                                 \|a
+--R   (272)  ---------------------------------------------------------------
+--R                                          +-+
+--R                                       8a\|a
+--R                                                    Type: Expression(Integer)
+--E 303
+
+--S 304 of 554
+d0259a:= D(m0259a,x)
+--R 
+--R
+--R   (273)  0
+--R                                                    Type: Expression(Integer)
+--E 304
+
+--S 305 of 554
+m0259b:= a0259.2-r0259
+--R 
+--R
+--R                         +-------+                      +-------+
+--R                         |a x + b                 +---+ |a x + b
+--R                         |-------                \|- a  |-------
+--R           2 +---+      \|   x         2 +-+           \|   x
+--R          b \|- a atanh(----------) - b \|a atan(----------------)
+--R                            +-+                          a
+--R                           \|a
+--R   (274)  --------------------------------------------------------
+--R                                   +---+ +-+
+--R                                4a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 305
+
+--S 306 of 554
+d0259b:= D(m0259b,x)
+--R 
+--R
+--R   (275)  0
+--R                                                    Type: Expression(Integer)
+--E 306
+
+--S 307 of 554
+t0260:= (a+b/x)^(1/2)
+--R 
+--R
+--R           +-------+
+--R           |a x + b
+--R   (276)   |-------
+--R          \|   x
+--R                                                    Type: Expression(Integer)
+--E 307
+
+--S 308 of 554
+r0260:= x*(a+b/x)^(1/2)+b*atanh((a+b/x)^(1/2)/a^(1/2))/a^(1/2)
+--R 
+--R
+--R                   +-------+
+--R                   |a x + b
+--R                   |-------           +-------+
+--R                  \|   x          +-+ |a x + b
+--R          b atanh(----------) + x\|a  |-------
+--R                      +-+            \|   x
+--R                     \|a
+--R   (277)  -------------------------------------
+--R                            +-+
+--R                           \|a
+--R                                                    Type: Expression(Integer)
+--E 308
+
+--S 309 of 554
+a0260:= integrate(t0260,x)
+--R 
+--R
+--R   (278)
+--R               +-------+                            +-------+
+--R               |a x + b               +-+       +-+ |a x + b
+--R    b log(2a x |-------  + (2a x + b)\|a ) + 2x\|a  |-------
+--R              \|   x                               \|   x
+--R   [---------------------------------------------------------,
+--R                                +-+
+--R                              2\|a
+--R                  +-------+
+--R            +---+ |a x + b
+--R           \|- a  |-------             +-------+
+--R                 \|   x          +---+ |a x + b
+--R    b atan(----------------) + x\|- a  |-------
+--R                   a                  \|   x
+--R    --------------------------------------------]
+--R                        +---+
+--R                       \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 309
+
+--S 310 of 554
+m0260a:= a0260.1-r0260
+--R 
+--R
+--R                                                             +-------+
+--R                                                             |a x + b
+--R                     +-------+                               |-------
+--R                     |a x + b               +-+             \|   x
+--R          b log(2a x |-------  + (2a x + b)\|a ) - 2b atanh(----------)
+--R                    \|   x                                      +-+
+--R                                                               \|a
+--R   (279)  -------------------------------------------------------------
+--R                                        +-+
+--R                                      2\|a
+--R                                                    Type: Expression(Integer)
+--E 310
+
+--S 311 of 554
+d0260a:= D(m0260a,x)
+--R 
+--R
+--R   (280)  0
+--R                                                    Type: Expression(Integer)
+--E 311
+
+--S 312 of 554
+m0260b:= a0260.2-r0260
+--R 
+--R
+--R                          +-------+                     +-------+
+--R                          |a x + b                +---+ |a x + b
+--R                          |-------               \|- a  |-------
+--R              +---+      \|   x          +-+           \|   x
+--R          - b\|- a atanh(----------) + b\|a atan(----------------)
+--R                             +-+                         a
+--R                            \|a
+--R   (281)  --------------------------------------------------------
+--R                                  +---+ +-+
+--R                                 \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 312
+
+--S 313 of 554
+d0260b:= D(m0260b,x)
+--R 
+--R
+--R   (282)  0
+--R                                                    Type: Expression(Integer)
+--E 313
+
+--S 314 of 554
+t0261:= (a+b/x)^(1/2)/x
+--R 
+--R
+--R           +-------+
+--R           |a x + b
+--R           |-------
+--R          \|   x
+--R   (283)  ----------
+--R               x
+--R                                                    Type: Expression(Integer)
+--E 314
+
+--S 315 of 554
+r0261:= -2*(a+b/x)^(1/2)+2*a^(1/2)*atanh((a+b/x)^(1/2)/a^(1/2))
+--R 
+--R
+--R                      +-------+
+--R                      |a x + b
+--R                      |-------        +-------+
+--R            +-+      \|   x           |a x + b
+--R   (284)  2\|a atanh(----------) - 2  |-------
+--R                         +-+         \|   x
+--R                        \|a
+--R                                                    Type: Expression(Integer)
+--E 315
+
+--S 316 of 554
+a0261:= integrate(t0261,x)
+--R 
+--R
+--R   (285)
+--R                   +-------+                  +-------+
+--R     +-+       +-+ |a x + b                   |a x + b
+--R   [\|a log(2x\|a  |-------  + 2a x + b) - 2  |-------,
+--R                  \|   x                     \|   x
+--R                 +-------+
+--R                 |a x + b
+--R                 |-------        +-------+
+--R      +---+     \|   x           |a x + b
+--R    2\|- a atan(----------) - 2  |-------]
+--R                   +---+        \|   x
+--R                  \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 316
+
+--S 317 of 554
+m0261a:= a0261.1-r0261
+--R 
+--R
+--R                                                             +-------+
+--R                                                             |a x + b
+--R                         +-------+                           |-------
+--R           +-+       +-+ |a x + b                  +-+      \|   x
+--R   (286)  \|a log(2x\|a  |-------  + 2a x + b) - 2\|a atanh(----------)
+--R                        \|   x                                  +-+
+--R                                                               \|a
+--R                                                    Type: Expression(Integer)
+--E 317
+
+--S 318 of 554
+d0261a:= D(m0261a,x)
+--R 
+--R
+--R   (287)  0
+--R                                                    Type: Expression(Integer)
+--E 318
+
+--S 319 of 554
+m0261b:= a0261.2-r0261
+--R 
+--R
+--R                        +-------+                 +-------+
+--R                        |a x + b                  |a x + b
+--R                        |-------                  |-------
+--R              +-+      \|   x          +---+     \|   x
+--R   (288)  - 2\|a atanh(----------) + 2\|- a atan(----------)
+--R                           +-+                      +---+
+--R                          \|a                      \|- a
+--R                                                    Type: Expression(Integer)
+--E 319
+
+--S 320 of 554
+d0261b:= D(m0261b,x)
+--R 
+--R
+--R   (289)  0
+--R                                                    Type: Expression(Integer)
+--E 320
+
+--S 321 of 554
+t0262:= x^3*(-a+b/x)^(1/2)
+--R 
+--R
+--R             +---------+
+--R           3 |- a x + b
+--R   (290)  x  |---------
+--R            \|    x
+--R                                                    Type: Expression(Integer)
+--E 321
+
+--S 322 of 554
+r0262:= -5/64*b^3*(-a+b/x)^(1/2)*x/a^3-5/96*b^2*(-a+b/x)^(1/2)*x^2/a^2-_
+        1/24*b*(-a+b/x)^(1/2)*x^3/a+1/4*(-a+b/x)^(1/2)*x^4-_
+        5/64*b^4*atan((-a+b/x)^(1/2)/a^(1/2))/a^(7/2)
+--R 
+--R
+--R   (291)
+--R                   +---------+
+--R                   |- a x + b
+--R                   |---------
+--R            4     \|    x
+--R       - 15b atan(------------)
+--R                       +-+
+--R                      \|a
+--R     + 
+--R                                             +---------+
+--R           3 4     2   3        2 2      3   |- a x + b  +-+
+--R       (48a x  - 8a b x  - 10a b x  - 15b x) |--------- \|a
+--R                                            \|    x
+--R  /
+--R         3 +-+
+--R     192a \|a
+--R                                                    Type: Expression(Integer)
+--E 322
+
+--S 323 of 554
+a0262:= integrate(t0262,x)
+--R 
+--R
+--R   (292)
+--R   [
+--R                        +---------+
+--R            4           |- a x + b                 +---+
+--R         15b log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                       \|    x
+--R       + 
+--R                                                      +---------+
+--R             3 4      2   3        2 2      3   +---+ |- a x + b
+--R         (96a x  - 16a b x  - 20a b x  - 30b x)\|- a  |---------
+--R                                                     \|    x
+--R    /
+--R           3 +---+
+--R       384a \|- a
+--R     ,
+--R
+--R                     +---------+
+--R                     |- a x + b  +-+
+--R                     |--------- \|a
+--R              4     \|    x
+--R         - 15b atan(----------------)
+--R                            a
+--R       + 
+--R                                               +---------+
+--R             3 4     2   3        2 2      3   |- a x + b  +-+
+--R         (48a x  - 8a b x  - 10a b x  - 15b x) |--------- \|a
+--R                                              \|    x
+--R    /
+--R           3 +-+
+--R       192a \|a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 323
+
+--S 324 of 554
+m0262a:= a0262.1-r0262
+--R 
+--R
+--R   (293)
+--R                         +---------+
+--R         4 +-+           |- a x + b                 +---+
+--R       5b \|a log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                        \|    x
+--R     + 
+--R                       +---------+
+--R                       |- a x + b
+--R                       |---------
+--R          4 +---+     \|    x
+--R       10b \|- a atan(------------)
+--R                           +-+
+--R                          \|a
+--R  /
+--R         3 +---+ +-+
+--R     128a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 324
+
+--S 325 of 554
+d0262a:= D(m0262a,x)
+--R 
+--R
+--R   (294)  0
+--R                                                    Type: Expression(Integer)
+--E 325
+
+--S 326 of 554
+m0262b:= a0262.2-r0262
+--R 
+--R
+--R                     +---------+                 +---------+
+--R                     |- a x + b  +-+             |- a x + b
+--R                     |--------- \|a              |---------
+--R              4     \|    x               4     \|    x
+--R          - 5b atan(----------------) + 5b atan(------------)
+--R                            a                        +-+
+--R                                                    \|a
+--R   (295)  ---------------------------------------------------
+--R                                   3 +-+
+--R                                64a \|a
+--R                                                    Type: Expression(Integer)
+--E 326
+
+--S 327 of 554
+d0262b:= D(m0262b,x)
+--R 
+--R
+--R   (296)  0
+--R                                                    Type: Expression(Integer)
+--E 327
+
+--S 328 of 554
+t0263:= x^2*(-a+b/x)^(1/2)
+--R 
+--R
+--R             +---------+
+--R           2 |- a x + b
+--R   (297)  x  |---------
+--R            \|    x
+--R                                                    Type: Expression(Integer)
+--E 328
+
+--S 329 of 554
+r0263:= -1/8*b^2*(-a+b/x)^(1/2)*x/a^2-1/12*b*(-a+b/x)^(1/2)*x^2/a+_
+        1/3*x^3*(-a+b/x)^(1/2)-1/8*b^3*atan((-a+b/x)^(1/2)/a^(1/2))/a^(5/2)
+--R 
+--R
+--R                     +---------+
+--R                     |- a x + b
+--R                     |---------                              +---------+
+--R              3     \|    x            2 3         2     2   |- a x + b  +-+
+--R          - 3b atan(------------) + (8a x  - 2a b x  - 3b x) |--------- \|a
+--R                         +-+                                \|    x
+--R                        \|a
+--R   (298)  ------------------------------------------------------------------
+--R                                          2 +-+
+--R                                       24a \|a
+--R                                                    Type: Expression(Integer)
+--E 329
+
+--S 330 of 554
+a0263:= integrate(t0263,x)
+--R 
+--R
+--R   (299)
+--R   [
+--R                       +---------+
+--R           3           |- a x + b                 +---+
+--R         3b log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                      \|    x
+--R       + 
+--R                                         +---------+
+--R             2 3         2     2   +---+ |- a x + b
+--R         (16a x  - 4a b x  - 6b x)\|- a  |---------
+--R                                        \|    x
+--R    /
+--R          2 +---+
+--R       48a \|- a
+--R     ,
+--R               +---------+
+--R               |- a x + b  +-+
+--R               |--------- \|a                              +---------+
+--R        3     \|    x                2 3         2     2   |- a x + b  +-+
+--R    - 3b atan(----------------) + (8a x  - 2a b x  - 3b x) |--------- \|a
+--R                      a                                   \|    x
+--R    ----------------------------------------------------------------------]
+--R                                      2 +-+
+--R                                   24a \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 330
+
+--S 331 of 554
+m0263a:= a0263.1-r0263
+--R 
+--R
+--R   (300)
+--R                        +---------+
+--R        3 +-+           |- a x + b                 +---+
+--R       b \|a log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                       \|    x
+--R     + 
+--R                      +---------+
+--R                      |- a x + b
+--R                      |---------
+--R         3 +---+     \|    x
+--R       2b \|- a atan(------------)
+--R                          +-+
+--R                         \|a
+--R  /
+--R        2 +---+ +-+
+--R     16a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 331
+
+--S 332 of 554
+d0263a:= D(m0263a,x)
+--R 
+--R
+--R   (301)  0
+--R                                                    Type: Expression(Integer)
+--E 332
+
+--S 333 of 554
+m0263b:= a0263.2-r0263
+--R 
+--R
+--R                    +---------+                +---------+
+--R                    |- a x + b  +-+            |- a x + b
+--R                    |--------- \|a             |---------
+--R             3     \|    x              3     \|    x
+--R          - b atan(----------------) + b atan(------------)
+--R                           a                       +-+
+--R                                                  \|a
+--R   (302)  -------------------------------------------------
+--R                                 2 +-+
+--R                               8a \|a
+--R                                                    Type: Expression(Integer)
+--E 333
+
+--S 334 of 554
+d0263b:= D(m0263b,x)
+--R 
+--R
+--R   (303)  0
+--R                                                    Type: Expression(Integer)
+--E 334
+
+--S 335 of 554
+t0264:= x*(-a+b/x)^(1/2)
+--R 
+--R
+--R            +---------+
+--R            |- a x + b
+--R   (304)  x |---------
+--R           \|    x
+--R                                                    Type: Expression(Integer)
+--E 335
+
+--S 336 of 554
+r0264:= -1/4*b*(-a+b/x)^(1/2)*x/a+1/2*x^2*(-a+b/x)^(1/2)-_
+        1/4*b^2*atan((-a+b/x)^(1/2)/a^(1/2))/a^(3/2)
+--R 
+--R
+--R                    +---------+
+--R                    |- a x + b
+--R                    |---------                   +---------+
+--R             2     \|    x              2        |- a x + b  +-+
+--R          - b atan(------------) + (2a x  - b x) |--------- \|a
+--R                        +-+                     \|    x
+--R                       \|a
+--R   (305)  ------------------------------------------------------
+--R                                     +-+
+--R                                  4a\|a
+--R                                                    Type: Expression(Integer)
+--E 336
+
+--S 337 of 554
+a0264:= integrate(t0264,x)
+--R 
+--R
+--R   (306)
+--R   [
+--R                      +---------+
+--R          2           |- a x + b                 +---+
+--R         b log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                     \|    x
+--R       + 
+--R                              +---------+
+--R              2         +---+ |- a x + b
+--R         (4a x  - 2b x)\|- a  |---------
+--R                             \|    x
+--R    /
+--R          +---+
+--R       8a\|- a
+--R     ,
+--R              +---------+
+--R              |- a x + b  +-+
+--R              |--------- \|a                   +---------+
+--R       2     \|    x                  2        |- a x + b  +-+
+--R    - b atan(----------------) + (2a x  - b x) |--------- \|a
+--R                     a                        \|    x
+--R    ----------------------------------------------------------]
+--R                                 +-+
+--R                              4a\|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 337
+
+--S 338 of 554
+m0264a:= a0264.1-r0264
+--R 
+--R
+--R   (307)
+--R                        +---------+
+--R        2 +-+           |- a x + b                 +---+
+--R       b \|a log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                       \|    x
+--R     + 
+--R                      +---------+
+--R                      |- a x + b
+--R                      |---------
+--R         2 +---+     \|    x
+--R       2b \|- a atan(------------)
+--R                          +-+
+--R                         \|a
+--R  /
+--R        +---+ +-+
+--R     8a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 338
+
+--S 339 of 554
+d0264a:= D(m0264a,x)
+--R 
+--R
+--R   (308)  0
+--R                                                    Type: Expression(Integer)
+--E 339
+
+--S 340 of 554
+m0264b:= a0264.2-r0264
+--R 
+--R
+--R                    +---------+                +---------+
+--R                    |- a x + b  +-+            |- a x + b
+--R                    |--------- \|a             |---------
+--R             2     \|    x              2     \|    x
+--R          - b atan(----------------) + b atan(------------)
+--R                           a                       +-+
+--R                                                  \|a
+--R   (309)  -------------------------------------------------
+--R                                   +-+
+--R                                4a\|a
+--R                                                    Type: Expression(Integer)
+--E 340
+
+--S 341 of 554
+d0264b:= D(m0264b,x)
+--R 
+--R
+--R   (310)  0
+--R                                                    Type: Expression(Integer)
+--E 341
+
+--S 342 of 554
+t0265:= (-a+b/x)^(1/2)
+--R 
+--R
+--R           +---------+
+--R           |- a x + b
+--R   (311)   |---------
+--R          \|    x
+--R                                                    Type: Expression(Integer)
+--E 342
+
+--S 343 of 554
+r0265:= x*(-a+b/x)^(1/2)-b*atan((-a+b/x)^(1/2)/a^(1/2))/a^(1/2)
+--R 
+--R
+--R                    +---------+
+--R                    |- a x + b
+--R                    |---------       +---------+
+--R                   \|    x           |- a x + b  +-+
+--R          - b atan(------------) + x |--------- \|a
+--R                        +-+         \|    x
+--R                       \|a
+--R   (312)  ------------------------------------------
+--R                              +-+
+--R                             \|a
+--R                                                    Type: Expression(Integer)
+--E 343
+
+--S 344 of 554
+a0265:= integrate(t0265,x)
+--R 
+--R
+--R   (313)
+--R                 +---------+                                  +---------+
+--R                 |- a x + b                 +---+       +---+ |- a x + b
+--R    b log(- 2a x |---------  + (- 2a x + b)\|- a ) + 2x\|- a  |---------
+--R                \|    x                                      \|    x
+--R   [---------------------------------------------------------------------,
+--R                                     +---+
+--R                                   2\|- a
+--R              +---------+
+--R              |- a x + b  +-+
+--R              |--------- \|a       +---------+
+--R             \|    x               |- a x + b  +-+
+--R    - b atan(----------------) + x |--------- \|a
+--R                     a            \|    x
+--R    ----------------------------------------------]
+--R                          +-+
+--R                         \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 344
+
+--S 345 of 554
+m0265a:= a0265.1-r0265
+--R 
+--R
+--R   (314)
+--R                       +---------+
+--R         +-+           |- a x + b                 +---+
+--R       b\|a log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                      \|    x
+--R     + 
+--R                     +---------+
+--R                     |- a x + b
+--R                     |---------
+--R          +---+     \|    x
+--R       2b\|- a atan(------------)
+--R                         +-+
+--R                        \|a
+--R  /
+--R       +---+ +-+
+--R     2\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 345
+
+--S 346 of 554
+d0265a:= D(m0265a,x)
+--R 
+--R
+--R   (315)  0
+--R                                                    Type: Expression(Integer)
+--E 346
+
+--S 347 of 554
+m0265b:= a0265.2-r0265
+--R 
+--R
+--R                    +---------+                +---------+
+--R                    |- a x + b  +-+            |- a x + b
+--R                    |--------- \|a             |---------
+--R                   \|    x                    \|    x
+--R          - b atan(----------------) + b atan(------------)
+--R                           a                       +-+
+--R                                                  \|a
+--R   (316)  -------------------------------------------------
+--R                                  +-+
+--R                                 \|a
+--R                                                    Type: Expression(Integer)
+--E 347
+
+--S 348 of 554
+d0265b:= D(m0265b,x)
+--R 
+--R
+--R   (317)  0
+--R                                                    Type: Expression(Integer)
+--E 348
+
+--S 349 of 554
+t0266:= (-a+b/x)^(1/2)/x
+--R 
+--R
+--R           +---------+
+--R           |- a x + b
+--R           |---------
+--R          \|    x
+--R   (318)  ------------
+--R                x
+--R                                                    Type: Expression(Integer)
+--E 349
+
+--S 350 of 554
+r0266:= -2*(-a+b/x)^(1/2)+2*a^(1/2)*atan((-a+b/x)^(1/2)/a^(1/2))
+--R 
+--R
+--R                     +---------+
+--R                     |- a x + b
+--R                     |---------        +---------+
+--R            +-+     \|    x            |- a x + b
+--R   (319)  2\|a atan(------------) - 2  |---------
+--R                         +-+          \|    x
+--R                        \|a
+--R                                                    Type: Expression(Integer)
+--E 350
+
+--S 351 of 554
+a0266:= integrate(t0266,x)
+--R 
+--R
+--R   (320)
+--R                       +---------+                  +---------+
+--R     +---+       +---+ |- a x + b                   |- a x + b
+--R   [\|- a log(2x\|- a  |---------  - 2a x + b) - 2  |---------,
+--R                      \|    x                      \|    x
+--R                     +-+           +---------+
+--R        +-+         \|a            |- a x + b
+--R    - 2\|a atan(------------) - 2  |---------]
+--R                 +---------+      \|    x
+--R                 |- a x + b
+--R                 |---------
+--R                \|    x
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 351
+
+--S 352 of 554
+m0266a:= a0266.1-r0266
+--R 
+--R
+--R                                                                  +---------+
+--R                                                                  |- a x + b
+--R                             +---------+                          |---------
+--R           +---+       +---+ |- a x + b                  +-+     \|    x
+--R   (321)  \|- a log(2x\|- a  |---------  - 2a x + b) - 2\|a atan(------------)
+--R                            \|    x                                   +-+
+--R                                                                     \|a
+--R                                                    Type: Expression(Integer)
+--E 352
+
+--S 353 of 554
+d0266a:= D(m0266a,x)
+--R 
+--R
+--R   (322)  0
+--R                                                    Type: Expression(Integer)
+--E 353
+
+--S 354 of 554
+m0266b:= a0266.2-r0266
+--R 
+--R
+--R                                                 +---------+
+--R                                                 |- a x + b
+--R                           +-+                   |---------
+--R              +-+         \|a           +-+     \|    x
+--R   (323)  - 2\|a atan(------------) - 2\|a atan(------------)
+--R                       +---------+                   +-+
+--R                       |- a x + b                   \|a
+--R                       |---------
+--R                      \|    x
+--R                                                    Type: Expression(Integer)
+--E 354
+
+--S 355 of 554
+d0266b:= D(m0266b,x)
+--R 
+--R
+--R   (324)  0
+--R                                                    Type: Expression(Integer)
+--E 355
+
+--S 356 of 554
+t0267:= x^3/(a+b/x)^(1/2)
+--R 
+--R
+--R               3
+--R              x
+--R   (325)  ----------
+--R           +-------+
+--R           |a x + b
+--R           |-------
+--R          \|   x
+--R                                                    Type: Expression(Integer)
+--E 356
+
+--S 357 of 554
+r0267:= -35/64*b^3*(a+b/x)^(1/2)*x/a^4+35/96*b^2*(a+b/x)^(1/2)*x^2/a^3-_
+        7/24*b*(a+b/x)^(1/2)*x^3/a^2+1/4*(a+b/x)^(1/2)*x^4/a+_
+        35/64*b^4*atanh((a+b/x)^(1/2)/a^(1/2))/a^(9/2)
+--R 
+--R
+--R   (326)
+--R                   +-------+
+--R                   |a x + b
+--R                   |-------
+--R           4      \|   x
+--R       105b atanh(----------)
+--R                      +-+
+--R                     \|a
+--R     + 
+--R                                                   +-------+
+--R           3 4      2   3        2 2       3   +-+ |a x + b
+--R       (48a x  - 56a b x  + 70a b x  - 105b x)\|a  |-------
+--R                                                  \|   x
+--R  /
+--R         4 +-+
+--R     192a \|a
+--R                                                    Type: Expression(Integer)
+--E 357
+
+--S 358 of 554
+a0267:= integrate(t0267,x)
+--R 
+--R
+--R   (327)
+--R   [
+--R                       +-------+
+--R             4         |a x + b               +-+
+--R         105b log(2a x |-------  + (2a x + b)\|a )
+--R                      \|   x
+--R       + 
+--R                                                       +-------+
+--R             3 4       2   3         2 2       3   +-+ |a x + b
+--R         (96a x  - 112a b x  + 140a b x  - 210b x)\|a  |-------
+--R                                                      \|   x
+--R    /
+--R           4 +-+
+--R       384a \|a
+--R     ,
+--R
+--R                          +-------+
+--R                    +---+ |a x + b
+--R                   \|- a  |-------
+--R             4           \|   x
+--R         105b atan(----------------)
+--R                           a
+--R       + 
+--R                                                       +-------+
+--R             3 4      2   3        2 2       3   +---+ |a x + b
+--R         (48a x  - 56a b x  + 70a b x  - 105b x)\|- a  |-------
+--R                                                      \|   x
+--R    /
+--R           4 +---+
+--R       192a \|- a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 358
+
+--S 359 of 554
+m0267a:= a0267.1-r0267
+--R 
+--R
+--R                                                                +-------+
+--R                                                                |a x + b
+--R                       +-------+                                |-------
+--R             4         |a x + b               +-+       4      \|   x
+--R          35b log(2a x |-------  + (2a x + b)\|a ) - 70b atanh(----------)
+--R                      \|   x                                       +-+
+--R                                                                  \|a
+--R   (328)  ----------------------------------------------------------------
+--R                                          4 +-+
+--R                                      128a \|a
+--R                                                    Type: Expression(Integer)
+--E 359
+
+--S 360 of 554
+d0267a:= D(m0267a,x)
+--R 
+--R
+--R   (329)  0
+--R                                                    Type: Expression(Integer)
+--E 360
+
+--S 361 of 554
+m0267b:= a0267.2-r0267
+--R 
+--R
+--R                             +-------+                        +-------+
+--R                             |a x + b                   +---+ |a x + b
+--R                             |-------                  \|- a  |-------
+--R               4 +---+      \|   x           4 +-+           \|   x
+--R          - 35b \|- a atanh(----------) + 35b \|a atan(----------------)
+--R                                +-+                            a
+--R                               \|a
+--R   (330)  --------------------------------------------------------------
+--R                                     4 +---+ +-+
+--R                                  64a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 361
+
+--S 362 of 554
+d0267b:= D(m0267b,x)
+--R 
+--R
+--R   (331)  0
+--R                                                    Type: Expression(Integer)
+--E 362
+
+--S 363 of 554
+t0268:= x^2/(a+b/x)^(1/2)
+--R 
+--R
+--R               2
+--R              x
+--R   (332)  ----------
+--R           +-------+
+--R           |a x + b
+--R           |-------
+--R          \|   x
+--R                                                    Type: Expression(Integer)
+--E 363
+
+--S 364 of 554
+r0268:= 5/8*b^2*(a+b/x)^(1/2)*x/a^3-5/12*b*(a+b/x)^(1/2)*x^2/a^2+_
+        1/3*(a+b/x)^(1/2)*x^3/a-5/8*b^3*atanh((a+b/x)^(1/2)/a^(1/2))/a^(7/2)
+--R 
+--R
+--R                       +-------+
+--R                       |a x + b
+--R                       |-------                                    +-------+
+--R               3      \|   x           2 3          2      2   +-+ |a x + b
+--R          - 15b atanh(----------) + (8a x  - 10a b x  + 15b x)\|a  |-------
+--R                          +-+                                     \|   x
+--R                         \|a
+--R   (333)  ------------------------------------------------------------------
+--R                                          3 +-+
+--R                                       24a \|a
+--R                                                    Type: Expression(Integer)
+--E 364
+
+--S 365 of 554
+a0268:= integrate(t0268,x)
+--R 
+--R
+--R   (334)
+--R   [
+--R                        +-------+
+--R            3           |a x + b               +-+
+--R         15b log(- 2a x |-------  + (2a x + b)\|a )
+--R                       \|   x
+--R       + 
+--R                                         +-------+
+--R             2 3          2      2   +-+ |a x + b
+--R         (16a x  - 20a b x  + 30b x)\|a  |-------
+--R                                        \|   x
+--R    /
+--R          3 +-+
+--R       48a \|a
+--R     ,
+--R                      +-------+
+--R                +---+ |a x + b
+--R               \|- a  |-------                                      +-------+
+--R         3           \|   x           2 3          2      2   +---+ |a x + b
+--R    - 15b atan(----------------) + (8a x  - 10a b x  + 15b x)\|- a  |-------
+--R                       a                                           \|   x
+--R    -------------------------------------------------------------------------]
+--R                                       3 +---+
+--R                                    24a \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 365
+
+--S 366 of 554
+m0268a:= a0268.1-r0268
+--R 
+--R
+--R                                                                 +-------+
+--R                                                                 |a x + b
+--R                        +-------+                                |-------
+--R            3           |a x + b               +-+       3      \|   x
+--R          5b log(- 2a x |-------  + (2a x + b)\|a ) + 10b atanh(----------)
+--R                       \|   x                                       +-+
+--R                                                                   \|a
+--R   (335)  -----------------------------------------------------------------
+--R                                          3 +-+
+--R                                       16a \|a
+--R                                                    Type: Expression(Integer)
+--E 366
+
+--S 367 of 554
+d0268a:= D(m0268a,x)
+--R 
+--R
+--R   (336)  0
+--R                                                    Type: Expression(Integer)
+--E 367
+
+--S 368 of 554
+m0268b:= a0268.2-r0268
+--R 
+--R
+--R                          +-------+                       +-------+
+--R                          |a x + b                  +---+ |a x + b
+--R                          |-------                 \|- a  |-------
+--R            3 +---+      \|   x          3 +-+           \|   x
+--R          5b \|- a atanh(----------) - 5b \|a atan(----------------)
+--R                             +-+                           a
+--R                            \|a
+--R   (337)  ----------------------------------------------------------
+--R                                   3 +---+ +-+
+--R                                 8a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 368
+
+--S 369 of 554
+d0268b:= D(m0268b,x)
+--R 
+--R
+--R   (338)  0
+--R                                                    Type: Expression(Integer)
+--E 369
+
+--S 370 of 554
+t0269:= x/(a+b/x)^(1/2)
+--R 
+--R
+--R               x
+--R   (339)  ----------
+--R           +-------+
+--R           |a x + b
+--R           |-------
+--R          \|   x
+--R                                                    Type: Expression(Integer)
+--E 370
+
+--S 371 of 554
+r0269:= -3/4*b*(a+b/x)^(1/2)*x/a^2+1/2*(a+b/x)^(1/2)*x^2/a+_
+        3/4*b^2*atanh((a+b/x)^(1/2)/a^(1/2))/a^(5/2)
+--R 
+--R
+--R                    +-------+
+--R                    |a x + b
+--R                    |-------                        +-------+
+--R            2      \|   x             2         +-+ |a x + b
+--R          3b atanh(----------) + (2a x  - 3b x)\|a  |-------
+--R                       +-+                         \|   x
+--R                      \|a
+--R   (340)  ---------------------------------------------------
+--R                                  2 +-+
+--R                                4a \|a
+--R                                                    Type: Expression(Integer)
+--E 371
+
+--S 372 of 554
+a0269:= integrate(t0269,x)
+--R 
+--R
+--R   (341)
+--R                +-------+                                        +-------+
+--R      2         |a x + b               +-+         2         +-+ |a x + b
+--R    3b log(2a x |-------  + (2a x + b)\|a ) + (4a x  - 6b x)\|a  |-------
+--R               \|   x                                           \|   x
+--R   [----------------------------------------------------------------------,
+--R                                      2 +-+
+--R                                    8a \|a
+--R                   +-------+
+--R             +---+ |a x + b
+--R            \|- a  |-------                          +-------+
+--R      2           \|   x             2         +---+ |a x + b
+--R    3b atan(----------------) + (2a x  - 3b x)\|- a  |-------
+--R                    a                               \|   x
+--R    ----------------------------------------------------------]
+--R                               2 +---+
+--R                             4a \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 372
+
+--S 373 of 554
+m0269a:= a0269.1-r0269
+--R 
+--R
+--R                                                              +-------+
+--R                                                              |a x + b
+--R                      +-------+                               |-------
+--R            2         |a x + b               +-+      2      \|   x
+--R          3b log(2a x |-------  + (2a x + b)\|a ) - 6b atanh(----------)
+--R                     \|   x                                      +-+
+--R                                                                \|a
+--R   (342)  --------------------------------------------------------------
+--R                                        2 +-+
+--R                                      8a \|a
+--R                                                    Type: Expression(Integer)
+--E 373
+
+--S 374 of 554
+d0269a:= D(m0269a,x)
+--R 
+--R
+--R   (343)  0
+--R                                                    Type: Expression(Integer)
+--E 374
+
+--S 375 of 554
+m0269b:= a0269.2-r0269
+--R 
+--R
+--R                            +-------+                       +-------+
+--R                            |a x + b                  +---+ |a x + b
+--R                            |-------                 \|- a  |-------
+--R              2 +---+      \|   x          2 +-+           \|   x
+--R          - 3b \|- a atanh(----------) + 3b \|a atan(----------------)
+--R                               +-+                           a
+--R                              \|a
+--R   (344)  ------------------------------------------------------------
+--R                                    2 +---+ +-+
+--R                                  4a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 375
+
+--S 376 of 554
+d0269b:= D(m0269b,x)
+--R 
+--R
+--R   (345)  0
+--R                                                    Type: Expression(Integer)
+--E 376
+
+--S 377 of 554
+t0270:= 1/(a+b/x)^(1/2)
+--R 
+--R
+--R               1
+--R   (346)  ----------
+--R           +-------+
+--R           |a x + b
+--R           |-------
+--R          \|   x
+--R                                                    Type: Expression(Integer)
+--E 377
+
+--S 378 of 554
+r0270:= (a+b/x)^(1/2)*x/a-b*atanh((a+b/x)^(1/2)/a^(1/2))/a^(3/2)
+--R 
+--R
+--R                     +-------+
+--R                     |a x + b
+--R                     |-------           +-------+
+--R                    \|   x          +-+ |a x + b
+--R          - b atanh(----------) + x\|a  |-------
+--R                        +-+            \|   x
+--R                       \|a
+--R   (347)  ---------------------------------------
+--R                             +-+
+--R                           a\|a
+--R                                                    Type: Expression(Integer)
+--E 378
+
+--S 379 of 554
+a0270:= integrate(t0270,x)
+--R 
+--R
+--R   (348)
+--R                 +-------+                            +-------+
+--R                 |a x + b               +-+       +-+ |a x + b
+--R    b log(- 2a x |-------  + (2a x + b)\|a ) + 2x\|a  |-------
+--R                \|   x                               \|   x
+--R   [-----------------------------------------------------------,
+--R                                  +-+
+--R                               2a\|a
+--R                    +-------+
+--R              +---+ |a x + b
+--R             \|- a  |-------             +-------+
+--R                   \|   x          +---+ |a x + b
+--R    - b atan(----------------) + x\|- a  |-------
+--R                     a                  \|   x
+--R    ----------------------------------------------]
+--R                          +---+
+--R                        a\|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 379
+
+--S 380 of 554
+m0270a:= a0270.1-r0270
+--R 
+--R
+--R                                                               +-------+
+--R                                                               |a x + b
+--R                       +-------+                               |-------
+--R                       |a x + b               +-+             \|   x
+--R          b log(- 2a x |-------  + (2a x + b)\|a ) + 2b atanh(----------)
+--R                      \|   x                                      +-+
+--R                                                                 \|a
+--R   (349)  ---------------------------------------------------------------
+--R                                          +-+
+--R                                       2a\|a
+--R                                                    Type: Expression(Integer)
+--E 380
+
+--S 381 of 554
+d0270a:= D(m0270a,x)
+--R 
+--R
+--R   (350)  0
+--R                                                    Type: Expression(Integer)
+--E 381
+
+--S 382 of 554
+m0270b:= a0270.2-r0270
+--R 
+--R
+--R                        +-------+                     +-------+
+--R                        |a x + b                +---+ |a x + b
+--R                        |-------               \|- a  |-------
+--R            +---+      \|   x          +-+           \|   x
+--R          b\|- a atanh(----------) - b\|a atan(----------------)
+--R                           +-+                         a
+--R                          \|a
+--R   (351)  ------------------------------------------------------
+--R                                  +---+ +-+
+--R                                a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 382
+
+--S 383 of 554
+d0270b:= D(m0270b,x)
+--R 
+--R
+--R   (352)  0
+--R                                                    Type: Expression(Integer)
+--E 383
+
+--S 384 of 554
+t0271:= 1/x/(a+b/x)^(1/2)
+--R 
+--R
+--R               1
+--R   (353)  -----------
+--R            +-------+
+--R            |a x + b
+--R          x |-------
+--R           \|   x
+--R                                                    Type: Expression(Integer)
+--E 384
+
+--S 385 of 554
+r0271:= 2*atanh((a+b/x)^(1/2)/a^(1/2))/a^(1/2)
+--R 
+--R
+--R                  +-------+
+--R                  |a x + b
+--R                  |-------
+--R                 \|   x
+--R          2atanh(----------)
+--R                     +-+
+--R                    \|a
+--R   (354)  ------------------
+--R                  +-+
+--R                 \|a
+--R                                                    Type: Expression(Integer)
+--E 385
+
+--S 386 of 554
+a0271:= integrate(t0271,x)
+--R 
+--R
+--R                                                             +-------+
+--R                                                       +---+ |a x + b
+--R                    +-------+                         \|- a  |-------
+--R                    |a x + b               +-+              \|   x
+--R           log(2a x |-------  + (2a x + b)\|a ) 2atan(----------------)
+--R                   \|   x                                     a
+--R   (355)  [------------------------------------,-----------------------]
+--R                            +-+                           +---+
+--R                           \|a                           \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 386
+
+--S 387 of 554
+m0271a:= a0271.1-r0271
+--R 
+--R
+--R                                                         +-------+
+--R                                                         |a x + b
+--R                   +-------+                             |-------
+--R                   |a x + b               +-+           \|   x
+--R          log(2a x |-------  + (2a x + b)\|a ) - 2atanh(----------)
+--R                  \|   x                                    +-+
+--R                                                           \|a
+--R   (356)  ---------------------------------------------------------
+--R                                      +-+
+--R                                     \|a
+--R                                                    Type: Expression(Integer)
+--E 387
+
+--S 388 of 554
+d0271a:= D(m0271a,x)
+--R 
+--R
+--R   (357)  0
+--R                                                    Type: Expression(Integer)
+--E 388
+
+--S 389 of 554
+m0271b:= a0271.2-r0271
+--R 
+--R
+--R                          +-------+                     +-------+
+--R                          |a x + b                +---+ |a x + b
+--R                          |-------               \|- a  |-------
+--R              +---+      \|   x          +-+           \|   x
+--R          - 2\|- a atanh(----------) + 2\|a atan(----------------)
+--R                             +-+                         a
+--R                            \|a
+--R   (358)  --------------------------------------------------------
+--R                                  +---+ +-+
+--R                                 \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 389
+
+--S 390 of 554
+d0271b:= D(m0271b,x)
+--R 
+--R
+--R   (359)  0
+--R                                                    Type: Expression(Integer)
+--E 390
+
+--S 391 of 554
+t0272:= x^3/(-a+b/x)^(1/2)
+--R 
+--R
+--R                3
+--R               x
+--R   (360)  ------------
+--R           +---------+
+--R           |- a x + b
+--R           |---------
+--R          \|    x
+--R                                                    Type: Expression(Integer)
+--E 391
+
+--S 392 of 554
+r0272:= -35/64*b^3*(-a+b/x)^(1/2)*x/a^4-35/96*b^2*(-a+b/x)^(1/2)*x^2/a^3-_
+        7/24*b*(-a+b/x)^(1/2)*x^3/a^2-1/4*(-a+b/x)^(1/2)*x^4/a-_
+        35/64*b^4*atan((-a+b/x)^(1/2)/a^(1/2))/a^(9/2)
+--R 
+--R
+--R   (361)
+--R                    +---------+
+--R                    |- a x + b
+--R                    |---------
+--R             4     \|    x
+--R       - 105b atan(------------)
+--R                        +-+
+--R                       \|a
+--R     + 
+--R                                                 +---------+
+--R             3 4      2   3        2 2       3   |- a x + b  +-+
+--R       (- 48a x  - 56a b x  - 70a b x  - 105b x) |--------- \|a
+--R                                                \|    x
+--R  /
+--R         4 +-+
+--R     192a \|a
+--R                                                    Type: Expression(Integer)
+--E 392
+
+--S 393 of 554
+a0272:= integrate(t0272,x)
+--R 
+--R
+--R   (362)
+--R   [
+--R                         +---------+
+--R             4           |- a x + b                 +---+
+--R         105b log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                        \|    x
+--R       + 
+--R                                                           +---------+
+--R               3 4       2   3         2 2       3   +---+ |- a x + b
+--R         (- 96a x  - 112a b x  - 140a b x  - 210b x)\|- a  |---------
+--R                                                          \|    x
+--R    /
+--R           4 +---+
+--R       384a \|- a
+--R     ,
+--R
+--R                      +---------+
+--R                      |- a x + b  +-+
+--R                      |--------- \|a
+--R               4     \|    x
+--R         - 105b atan(----------------)
+--R                             a
+--R       + 
+--R                                                   +---------+
+--R               3 4      2   3        2 2       3   |- a x + b  +-+
+--R         (- 48a x  - 56a b x  - 70a b x  - 105b x) |--------- \|a
+--R                                                  \|    x
+--R    /
+--R           4 +-+
+--R       192a \|a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 393
+
+--S 394 of 554
+m0272a:= a0272.1-r0272
+--R 
+--R
+--R   (363)
+--R                          +---------+
+--R          4 +-+           |- a x + b                 +---+
+--R       35b \|a log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                         \|    x
+--R     + 
+--R                       +---------+
+--R                       |- a x + b
+--R                       |---------
+--R          4 +---+     \|    x
+--R       70b \|- a atan(------------)
+--R                           +-+
+--R                          \|a
+--R  /
+--R         4 +---+ +-+
+--R     128a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 394
+
+--S 395 of 554
+d0272a:= D(m0272a,x)
+--R 
+--R
+--R   (364)  0
+--R                                                    Type: Expression(Integer)
+--E 395
+
+--S 396 of 554
+m0272b:= a0272.2-r0272
+--R 
+--R
+--R                      +---------+                  +---------+
+--R                      |- a x + b  +-+              |- a x + b
+--R                      |--------- \|a               |---------
+--R               4     \|    x                4     \|    x
+--R          - 35b atan(----------------) + 35b atan(------------)
+--R                             a                         +-+
+--R                                                      \|a
+--R   (365)  -----------------------------------------------------
+--R                                    4 +-+
+--R                                 64a \|a
+--R                                                    Type: Expression(Integer)
+--E 396
+
+--S 397 of 554
+d0272b:= D(m0272b,x)
+--R 
+--R
+--R   (366)  0
+--R                                                    Type: Expression(Integer)
+--E 397
+
+--S 398 of 554
+t0273:= x^2/(-a+b/x)^(1/2)
+--R 
+--R
+--R                2
+--R               x
+--R   (367)  ------------
+--R           +---------+
+--R           |- a x + b
+--R           |---------
+--R          \|    x
+--R                                                    Type: Expression(Integer)
+--E 398
+
+--S 399 of 554
+r0273:= -5/8*b^2*(-a+b/x)^(1/2)*x/a^3-5/12*b*(-a+b/x)^(1/2)*x^2/a^2-_
+        1/3*(-a+b/x)^(1/2)*x^3/a-5/8*b^3*atan((-a+b/x)^(1/2)/a^(1/2))/a^(7/2)
+--R 
+--R
+--R   (368)
+--R               +---------+
+--R               |- a x + b
+--R               |---------                                  +---------+
+--R        3     \|    x              2 3          2      2   |- a x + b  +-+
+--R   - 15b atan(------------) + (- 8a x  - 10a b x  - 15b x) |--------- \|a
+--R                   +-+                                    \|    x
+--R                  \|a
+--R   -----------------------------------------------------------------------
+--R                                      3 +-+
+--R                                   24a \|a
+--R                                                    Type: Expression(Integer)
+--E 399
+
+--S 400 of 554
+a0273:= integrate(t0273,x)
+--R 
+--R
+--R   (369)
+--R   [
+--R                        +---------+
+--R            3           |- a x + b                 +---+
+--R         15b log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                       \|    x
+--R       + 
+--R                                             +---------+
+--R               2 3          2      2   +---+ |- a x + b
+--R         (- 16a x  - 20a b x  - 30b x)\|- a  |---------
+--R                                            \|    x
+--R    /
+--R          3 +---+
+--R       48a \|- a
+--R     ,
+--R                +---------+
+--R                |- a x + b  +-+
+--R                |--------- \|a                                  +---------+
+--R         3     \|    x                  2 3          2      2   |- a x + b  +-+
+--R    - 15b atan(----------------) + (- 8a x  - 10a b x  - 15b x) |--------- \|a
+--R                       a                                       \|    x
+--R    ---------------------------------------------------------------------------]
+--R                                         3 +-+
+--R                                      24a \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 400
+
+--S 401 of 554
+m0273a:= a0273.1-r0273
+--R 
+--R
+--R   (370)
+--R                         +---------+
+--R         3 +-+           |- a x + b                 +---+
+--R       5b \|a log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                        \|    x
+--R     + 
+--R                       +---------+
+--R                       |- a x + b
+--R                       |---------
+--R          3 +---+     \|    x
+--R       10b \|- a atan(------------)
+--R                           +-+
+--R                          \|a
+--R  /
+--R        3 +---+ +-+
+--R     16a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 401
+
+--S 402 of 554
+d0273a:= D(m0273a,x)
+--R 
+--R
+--R   (371)  0
+--R                                                    Type: Expression(Integer)
+--E 402
+
+--S 403 of 554
+m0273b:= a0273.2-r0273
+--R 
+--R
+--R                     +---------+                 +---------+
+--R                     |- a x + b  +-+             |- a x + b
+--R                     |--------- \|a              |---------
+--R              3     \|    x               3     \|    x
+--R          - 5b atan(----------------) + 5b atan(------------)
+--R                            a                        +-+
+--R                                                    \|a
+--R   (372)  ---------------------------------------------------
+--R                                  3 +-+
+--R                                8a \|a
+--R                                                    Type: Expression(Integer)
+--E 403
+
+--S 404 of 554
+d0273b:= D(m0273b,x)
+--R 
+--R
+--R   (373)  0
+--R                                                    Type: Expression(Integer)
+--E 404
+
+--S 405 of 554
+t0274:= x/(-a+b/x)^(1/2)
+--R 
+--R
+--R                x
+--R   (374)  ------------
+--R           +---------+
+--R           |- a x + b
+--R           |---------
+--R          \|    x
+--R                                                    Type: Expression(Integer)
+--E 405
+
+--S 406 of 554
+r0274:= -3/4*b*(-a+b/x)^(1/2)*x/a^2-1/2*(-a+b/x)^(1/2)*x^2/a-_
+        3/4*b^2*atan((-a+b/x)^(1/2)/a^(1/2))/a^(5/2)
+--R 
+--R
+--R                     +---------+
+--R                     |- a x + b
+--R                     |---------                      +---------+
+--R              2     \|    x                2         |- a x + b  +-+
+--R          - 3b atan(------------) + (- 2a x  - 3b x) |--------- \|a
+--R                         +-+                        \|    x
+--R                        \|a
+--R   (375)  ----------------------------------------------------------
+--R                                      2 +-+
+--R                                    4a \|a
+--R                                                    Type: Expression(Integer)
+--E 406
+
+--S 407 of 554
+a0274:= integrate(t0274,x)
+--R 
+--R
+--R   (376)
+--R   [
+--R                       +---------+
+--R           2           |- a x + b                 +---+
+--R         3b log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                      \|    x
+--R       + 
+--R                                +---------+
+--R                2         +---+ |- a x + b
+--R         (- 4a x  - 6b x)\|- a  |---------
+--R                               \|    x
+--R    /
+--R         2 +---+
+--R       8a \|- a
+--R     ,
+--R               +---------+
+--R               |- a x + b  +-+
+--R               |--------- \|a                      +---------+
+--R        2     \|    x                    2         |- a x + b  +-+
+--R    - 3b atan(----------------) + (- 2a x  - 3b x) |--------- \|a
+--R                      a                           \|    x
+--R    --------------------------------------------------------------]
+--R                                  2 +-+
+--R                                4a \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 407
+
+--S 408 of 554
+m0274a:= a0274.1-r0274
+--R 
+--R
+--R   (377)
+--R                         +---------+
+--R         2 +-+           |- a x + b                 +---+
+--R       3b \|a log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                        \|    x
+--R     + 
+--R                      +---------+
+--R                      |- a x + b
+--R                      |---------
+--R         2 +---+     \|    x
+--R       6b \|- a atan(------------)
+--R                          +-+
+--R                         \|a
+--R  /
+--R       2 +---+ +-+
+--R     8a \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 408
+
+--S 409 of 554
+d0274a:= D(m0274a,x)
+--R 
+--R
+--R   (378)  0
+--R                                                    Type: Expression(Integer)
+--E 409
+
+--S 410 of 554
+m0274b:= a0274.2-r0274
+--R 
+--R
+--R                     +---------+                 +---------+
+--R                     |- a x + b  +-+             |- a x + b
+--R                     |--------- \|a              |---------
+--R              2     \|    x               2     \|    x
+--R          - 3b atan(----------------) + 3b atan(------------)
+--R                            a                        +-+
+--R                                                    \|a
+--R   (379)  ---------------------------------------------------
+--R                                  2 +-+
+--R                                4a \|a
+--R                                                    Type: Expression(Integer)
+--E 410
+
+--S 411 of 554
+d0274b:= D(m0274b,x)
+--R 
+--R
+--R   (380)  0
+--R                                                    Type: Expression(Integer)
+--E 411
+
+--S 412 of 554
+t0275:= 1/(-a+b/x)^(1/2)
+--R 
+--R
+--R                1
+--R   (381)  ------------
+--R           +---------+
+--R           |- a x + b
+--R           |---------
+--R          \|    x
+--R                                                    Type: Expression(Integer)
+--E 412
+
+--S 413 of 554
+r0275:= -(-a+b/x)^(1/2)*x/a-b*atan((-a+b/x)^(1/2)/a^(1/2))/a^(3/2)
+--R 
+--R
+--R                    +---------+
+--R                    |- a x + b
+--R                    |---------       +---------+
+--R                   \|    x           |- a x + b  +-+
+--R          - b atan(------------) - x |--------- \|a
+--R                        +-+         \|    x
+--R                       \|a
+--R   (382)  ------------------------------------------
+--R                               +-+
+--R                             a\|a
+--R                                                    Type: Expression(Integer)
+--E 413
+
+--S 414 of 554
+a0275:= integrate(t0275,x)
+--R 
+--R
+--R   (383)
+--R                 +---------+                                  +---------+
+--R                 |- a x + b                 +---+       +---+ |- a x + b
+--R    b log(- 2a x |---------  + (- 2a x + b)\|- a ) - 2x\|- a  |---------
+--R                \|    x                                      \|    x
+--R   [---------------------------------------------------------------------,
+--R                                      +---+
+--R                                   2a\|- a
+--R              +---------+
+--R              |- a x + b  +-+
+--R              |--------- \|a       +---------+
+--R             \|    x               |- a x + b  +-+
+--R    - b atan(----------------) - x |--------- \|a
+--R                     a            \|    x
+--R    ----------------------------------------------]
+--R                           +-+
+--R                         a\|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 414
+
+--S 415 of 554
+m0275a:= a0275.1-r0275
+--R 
+--R
+--R   (384)
+--R                       +---------+
+--R         +-+           |- a x + b                 +---+
+--R       b\|a log(- 2a x |---------  + (- 2a x + b)\|- a )
+--R                      \|    x
+--R     + 
+--R                     +---------+
+--R                     |- a x + b
+--R                     |---------
+--R          +---+     \|    x
+--R       2b\|- a atan(------------)
+--R                         +-+
+--R                        \|a
+--R  /
+--R        +---+ +-+
+--R     2a\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 415
+
+--S 416 of 554
+d0275a:= D(m0275a,x)
+--R 
+--R
+--R   (385)  0
+--R                                                    Type: Expression(Integer)
+--E 416
+
+--S 417 of 554
+m0275b:= a0275.2-r0275
+--R 
+--R
+--R                    +---------+                +---------+
+--R                    |- a x + b  +-+            |- a x + b
+--R                    |--------- \|a             |---------
+--R                   \|    x                    \|    x
+--R          - b atan(----------------) + b atan(------------)
+--R                           a                       +-+
+--R                                                  \|a
+--R   (386)  -------------------------------------------------
+--R                                  +-+
+--R                                a\|a
+--R                                                    Type: Expression(Integer)
+--E 417
+
+--S 418 of 554
+d0275b:= D(m0275b,x)
+--R 
+--R
+--R   (387)  0
+--R                                                    Type: Expression(Integer)
+--E 418
+
+--S 419 of 554
+t0276:= 1/x/(-a+b/x)^(1/2)
+--R 
+--R
+--R                1
+--R   (388)  -------------
+--R            +---------+
+--R            |- a x + b
+--R          x |---------
+--R           \|    x
+--R                                                    Type: Expression(Integer)
+--E 419
+
+--S 420 of 554
+r0276:= -2*atan((-a+b/x)^(1/2)/a^(1/2))/a^(1/2)
+--R 
+--R
+--R                   +---------+
+--R                   |- a x + b
+--R                   |---------
+--R                  \|    x
+--R            2atan(------------)
+--R                       +-+
+--R                      \|a
+--R   (389)  - -------------------
+--R                     +-+
+--R                    \|a
+--R                                                    Type: Expression(Integer)
+--E 420
+
+--S 421 of 554
+a0276:= integrate(t0276,x)
+--R 
+--R
+--R   (390)
+--R                                                          +---------+
+--R                                                          |- a x + b  +-+
+--R               +---------+                                |--------- \|a
+--R               |- a x + b                 +---+          \|    x
+--R    log(- 2a x |---------  + (- 2a x + b)\|- a )   2atan(----------------)
+--R              \|    x                                            a
+--R   [--------------------------------------------,- -----------------------]
+--R                        +---+                                 +-+
+--R                       \|- a                                 \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 421
+
+--S 422 of 554
+m0276a:= a0276.1-r0276
+--R 
+--R
+--R   (391)
+--R                                                                   +---------+
+--R                                                                   |- a x + b
+--R                  +---------+                                      |---------
+--R    +-+           |- a x + b                 +---+      +---+     \|    x
+--R   \|a log(- 2a x |---------  + (- 2a x + b)\|- a ) + 2\|- a atan(------------)
+--R                 \|    x                                               +-+
+--R                                                                      \|a
+--R   ----------------------------------------------------------------------------
+--R                                     +---+ +-+
+--R                                    \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 422
+
+--S 423 of 554
+d0276a:= D(m0276a,x)
+--R 
+--R
+--R   (392)  0
+--R                                                    Type: Expression(Integer)
+--E 423
+
+--S 424 of 554
+m0276b:= a0276.2-r0276
+--R 
+--R
+--R                   +---------+               +---------+
+--R                   |- a x + b  +-+           |- a x + b
+--R                   |--------- \|a            |---------
+--R                  \|    x                   \|    x
+--R          - 2atan(----------------) + 2atan(------------)
+--R                          a                      +-+
+--R                                                \|a
+--R   (393)  -----------------------------------------------
+--R                                 +-+
+--R                                \|a
+--R                                                    Type: Expression(Integer)
+--E 424
+
+--S 425 of 554
+d0276b:= D(m0276b,x)
+--R 
+--R
+--R   (394)  0
+--R                                                    Type: Expression(Integer)
+--E 425
+
+--S 426 of 554
+t0277:= x^3/(a+b/x^2)^(1/2)
+--R 
+--R
+--R                3
+--R               x
+--R   (395)  -----------
+--R           +--------+
+--R           |   2
+--R           |a x  + b
+--R           |--------
+--R           |    2
+--R          \|   x
+--R                                                    Type: Expression(Integer)
+--E 426
+
+--S 427 of 554
+r0277:= -3/8*b*(a+b/x^2)^(1/2)*x^2/a^2+1/4*(a+b/x^2)^(1/2)*x^4/a+_
+        3/8*b^2*atanh((a+b/x^2)^(1/2)/a^(1/2))/a^(5/2)
+--R 
+--R
+--R                    +--------+
+--R                    |   2
+--R                    |a x  + b
+--R                    |--------                         +--------+
+--R                    |    2                            |   2
+--R            2      \|   x              4       2  +-+ |a x  + b
+--R          3b atanh(-----------) + (2a x  - 3b x )\|a  |--------
+--R                        +-+                           |    2
+--R                       \|a                           \|   x
+--R   (396)  ------------------------------------------------------
+--R                                    2 +-+
+--R                                  8a \|a
+--R                                                    Type: Expression(Integer)
+--E 427
+
+--S 428 of 554
+a0277:= integrate(t0277,x)
+--R 
+--R
+--R   (397)
+--R   [
+--R                                  +--------+
+--R                  2 2      3  +-+ |   2          2 2 4        3 2      4
+--R           ((12a b x  + 24b )\|b \|a x  + b  - 3a b x  - 24a b x  - 24b )
+--R        *
+--R                                +--------+
+--R                 +-+ +-+        |   2            +-+         2      +-+
+--R               (\|a \|b  - a x)\|a x  + b  + a x\|b  + (- a x  - b)\|a
+--R           log(--------------------------------------------------------)
+--R                                       +--------+
+--R                                   +-+ |   2
+--R                                  \|b \|a x  + b  - b
+--R       + 
+--R                                                    +--------+
+--R              3 7      2   5       2 3      3   +-+ |   2
+--R         (- 2a x  - 13a b x  + 8a b x  + 24b x)\|a \|a x  + b
+--R       + 
+--R            3 7      2   5        2 3      3   +-+ +-+
+--R         (8a x  + 12a b x  - 20a b x  - 24b x)\|a \|b
+--R    /
+--R                                +--------+
+--R           3 2      2   +-+ +-+ |   2             4 4      3   2      2 2  +-+
+--R       (32a x  + 64a b)\|a \|b \|a x  + b  + (- 8a x  - 64a b x  - 64a b )\|a
+--R     ,
+--R
+--R                                  +--------+
+--R                  2 2      3  +-+ |   2          2 2 4        3 2      4
+--R           ((24a b x  + 48b )\|b \|a x  + b  - 6a b x  - 48a b x  - 48b )
+--R        *
+--R                       +--------+
+--R                 +---+ |   2         +---+ +-+
+--R                \|- a \|a x  + b  - \|- a \|b
+--R           atan(------------------------------)
+--R                              a x
+--R       + 
+--R                                                      +--------+
+--R              3 7      2   5       2 3      3   +---+ |   2
+--R         (- 2a x  - 13a b x  + 8a b x  + 24b x)\|- a \|a x  + b
+--R       + 
+--R            3 7      2   5        2 3      3   +---+ +-+
+--R         (8a x  + 12a b x  - 20a b x  - 24b x)\|- a \|b
+--R    /
+--R                                    +--------+
+--R             3 2      2   +---+ +-+ |   2
+--R         (32a x  + 64a b)\|- a \|b \|a x  + b
+--R       + 
+--R              4 4      3   2      2 2  +---+
+--R         (- 8a x  - 64a b x  - 64a b )\|- a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 428
+
+--S 429 of 554
+m0277a:= a0277.1-r0277
+--R 
+--R
+--R   (398)
+--R                                +--------+
+--R                2 2      3  +-+ |   2          2 2 4        3 2      4
+--R         ((12a b x  + 24b )\|b \|a x  + b  - 3a b x  - 24a b x  - 24b )
+--R      *
+--R                              +--------+
+--R               +-+ +-+        |   2            +-+         2      +-+
+--R             (\|a \|b  - a x)\|a x  + b  + a x\|b  + (- a x  - b)\|a
+--R         log(--------------------------------------------------------)
+--R                                     +--------+
+--R                                 +-+ |   2
+--R                                \|b \|a x  + b  - b
+--R     + 
+--R                                  +--------+
+--R                  2 2      3  +-+ |   2          2 2 4        3 2      4
+--R         ((- 12a b x  - 24b )\|b \|a x  + b  + 3a b x  + 24a b x  + 24b )
+--R      *
+--R                +--------+
+--R                |   2
+--R                |a x  + b
+--R                |--------
+--R                |    2
+--R               \|   x
+--R         atanh(-----------)
+--R                    +-+
+--R                   \|a
+--R     + 
+--R                                            +--------+
+--R                                            |   2
+--R                2 6         4      2 2  +-+ |a x  + b  +-+
+--R           (- 8a x  - 4a b x  + 24b x )\|a  |-------- \|b
+--R                                            |    2
+--R                                           \|   x
+--R         + 
+--R                3 7      2   5       2 3      3   +-+
+--R           (- 2a x  - 13a b x  + 8a b x  + 24b x)\|a
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R          3 7      2   5        2 3      3   +-+ +-+
+--R       (8a x  + 12a b x  - 20a b x  - 24b x)\|a \|b
+--R     + 
+--R                                                 +--------+
+--R                                                 |   2
+--R          3 8      2   6       2 4      3 2  +-+ |a x  + b
+--R       (2a x  + 13a b x  - 8a b x  - 24b x )\|a  |--------
+--R                                                 |    2
+--R                                                \|   x
+--R  /
+--R                              +--------+
+--R         3 2      2   +-+ +-+ |   2             4 4      3   2      2 2  +-+
+--R     (32a x  + 64a b)\|a \|b \|a x  + b  + (- 8a x  - 64a b x  - 64a b )\|a
+--R                                                    Type: Expression(Integer)
+--E 429
+
+--S 430 of 554
+d0277a:= D(m0277a,x)
+--R 
+--R
+--R   (399)
+--R                      5 14       4   12        3 2 10        2 3 8          4 6
+--R                   11a x   + 220a b x   + 1232a b x   + 2816a b x  + 2816a b x
+--R                 + 
+--R                        5 4
+--R                   1024b x
+--R              *
+--R                      +--------+
+--R                      |   2
+--R                  +-+ |a x  + b
+--R                 \|a  |--------
+--R                      |    2
+--R                     \|   x
+--R             + 
+--R                    6 14       5   12        4 2 10        3 3 8        2 4 6
+--R               - 11a x   - 220a b x   - 1232a b x   - 2816a b x  - 2816a b x
+--R             + 
+--R                        5 4
+--R               - 1024a b x
+--R          *
+--R              +-+
+--R             \|b
+--R         + 
+--R                  6 15      5   13       4 2 11        3 3 9        2 4 7
+--R               - a x   - 60a b x   - 560a b x   - 1792a b x  - 2304a b x
+--R             + 
+--R                        5 5
+--R               - 1024a b x
+--R          *
+--R              +--------+
+--R              |   2
+--R              |a x  + b
+--R              |--------
+--R              |    2
+--R             \|   x
+--R         + 
+--R                6 15      5   13       4 2 11        3 3 9        2 4 7
+--R               a x   + 61a b x   + 620a b x   + 2352a b x  + 4096a b x
+--R             + 
+--R                      5 5        6 3
+--R               3328a b x  + 1024b x
+--R          *
+--R              +-+
+--R             \|a
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R                  6 15       5   13        4 2 11        3 3 9        2 4 7
+--R               11a x   + 220a b x   + 1232a b x   + 2816a b x  + 2816a b x
+--R             + 
+--R                      5 5
+--R               1024a b x
+--R          *
+--R              +--------+
+--R              |   2
+--R              |a x  + b
+--R              |--------
+--R              |    2
+--R             \|   x
+--R         + 
+--R                    6 15       5   13        4 2 11        3 3 9        2 4 7
+--R               - 11a x   - 231a b x   - 1452a b x   - 4048a b x  - 5632a b x
+--R             + 
+--R                        5 5        6 3
+--R               - 3840a b x  - 1024b x
+--R          *
+--R              +-+
+--R             \|a
+--R      *
+--R          +-+
+--R         \|b
+--R     + 
+--R              6 16      5   14       4 2 12        3 3 10        2 4 8
+--R           - a x   - 61a b x   - 620a b x   - 2352a b x   - 4096a b x
+--R         + 
+--R                    5 6        6 4
+--R           - 3328a b x  - 1024b x
+--R      *
+--R              +--------+
+--R              |   2
+--R          +-+ |a x  + b
+--R         \|a  |--------
+--R              |    2
+--R             \|   x
+--R     + 
+--R        7 16      6   14       5 2 12        4 3 10        3 4 8        2 5 6
+--R       a x   + 61a b x   + 620a b x   + 2352a b x   + 4096a b x  + 3328a b x
+--R     + 
+--R              6 4
+--R       1024a b x
+--R  /
+--R                  6 11       5   9        4 2 7        3 3 5        2 4 3
+--R               11a x   + 220a b x  + 1232a b x  + 2816a b x  + 2816a b x
+--R             + 
+--R                      5
+--R               1024a b x
+--R          *
+--R              +--------+
+--R              |   2
+--R              |a x  + b  +-+
+--R              |-------- \|b
+--R              |    2
+--R             \|   x
+--R         + 
+--R                  6 12      5   10       4 2 8        3 3 6        2 4 4
+--R               - a x   - 61a b x   - 620a b x  - 2352a b x  - 4096a b x
+--R             + 
+--R                        5 2        6
+--R               - 3328a b x  - 1024b
+--R          *
+--R                  +--------+
+--R                  |   2
+--R              +-+ |a x  + b
+--R             \|a  |--------
+--R                  |    2
+--R                 \|   x
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R              6 12       5   10        4 2 8        3 3 6        2 4 4
+--R           11a x   + 231a b x   + 1452a b x  + 4048a b x  + 5632a b x
+--R         + 
+--R                  5 2        6
+--R           3840a b x  + 1024b
+--R      *
+--R              +--------+
+--R              |   2
+--R          +-+ |a x  + b  +-+
+--R         \|a  |-------- \|b
+--R              |    2
+--R             \|   x
+--R     + 
+--R              7 13      6   11       5 2 9        4 3 7        3 4 5
+--R           - a x   - 61a b x   - 620a b x  - 2352a b x  - 4096a b x
+--R         + 
+--R                  2 5 3          6
+--R           - 3328a b x  - 1024a b x
+--R      *
+--R          +--------+
+--R          |   2
+--R          |a x  + b
+--R          |--------
+--R          |    2
+--R         \|   x
+--R                                                    Type: Expression(Integer)
+--E 430
+
+--S 431 of 554
+m0277b:= a0277.2-r0277
+--R 
+--R
+--R   (400)
+--R                                         +--------+
+--R                   2 2      3  +---+ +-+ |   2
+--R           (- 12a b x  - 24b )\|- a \|b \|a x  + b
+--R         + 
+--R              2 2 4        3 2      4  +---+
+--R           (3a b x  + 24a b x  + 24b )\|- a
+--R      *
+--R                +--------+
+--R                |   2
+--R                |a x  + b
+--R                |--------
+--R                |    2
+--R               \|   x
+--R         atanh(-----------)
+--R                    +-+
+--R                   \|a
+--R     + 
+--R                                     +--------+
+--R                 2 2      3  +-+ +-+ |   2
+--R           (24a b x  + 48b )\|a \|b \|a x  + b
+--R         + 
+--R                2 2 4        3 2      4  +-+
+--R           (- 6a b x  - 48a b x  - 48b )\|a
+--R      *
+--R                     +--------+
+--R               +---+ |   2         +---+ +-+
+--R              \|- a \|a x  + b  - \|- a \|b
+--R         atan(------------------------------)
+--R                            a x
+--R     + 
+--R                                                  +--------+
+--R                                                  |   2
+--R                2 6         4      2 2  +---+ +-+ |a x  + b  +-+
+--R           (- 8a x  - 4a b x  + 24b x )\|- a \|a  |-------- \|b
+--R                                                  |    2
+--R                                                 \|   x
+--R         + 
+--R                3 7      2   5       2 3      3   +---+ +-+
+--R           (- 2a x  - 13a b x  + 8a b x  + 24b x)\|- a \|a
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R          3 7      2   5        2 3      3   +---+ +-+ +-+
+--R       (8a x  + 12a b x  - 20a b x  - 24b x)\|- a \|a \|b
+--R     + 
+--R                                                       +--------+
+--R                                                       |   2
+--R          3 8      2   6       2 4      3 2  +---+ +-+ |a x  + b
+--R       (2a x  + 13a b x  - 8a b x  - 24b x )\|- a \|a  |--------
+--R                                                       |    2
+--R                                                      \|   x
+--R  /
+--R                                      +--------+
+--R           3 2      2   +---+ +-+ +-+ |   2
+--R       (32a x  + 64a b)\|- a \|a \|b \|a x  + b
+--R     + 
+--R            4 4      3   2      2 2  +---+ +-+
+--R       (- 8a x  - 64a b x  - 64a b )\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 431
+
+--S 432 of 554
+d0277b:= D(m0277b,x)
+--R 
+--R
+--R   (401)
+--R                                                       +--------+
+--R                                                       |   2
+--R                3 10      2   8         2 6       3 4  |a x  + b  +-+    4 11
+--R           (- 8a x   - 80a b x  - 192a b x  - 128b x ) |-------- \|b  - a x
+--R                                                       |    2
+--R                                                      \|   x
+--R         + 
+--R                3   9       2 2 7         3 5       4 3
+--R           - 32a b x  - 160a b x  - 256a b x  - 128b x
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R          4 11      3   9       2 2 7         3 5       4 3  +-+
+--R       (8a x   + 88a b x  + 272a b x  + 320a b x  + 128b x )\|b
+--R     + 
+--R                                                             +--------+
+--R                                                             |   2
+--R         4 12      3   10       2 2 8         3 6       4 4  |a x  + b
+--R       (a x   + 32a b x   + 160a b x  + 256a b x  + 128b x ) |--------
+--R                                                             |    2
+--R                                                            \|   x
+--R  /
+--R                                                         +--------+
+--R                                                         |   2      +--------+
+--R         4 8      3   6       2 2 4         3 2       4  |a x  + b  |   2
+--R       (a x  + 32a b x  + 160a b x  + 256a b x  + 128b ) |-------- \|a x  + b
+--R                                                         |    2
+--R                                                        \|   x
+--R     + 
+--R                                                            +--------+
+--R                                                            |   2
+--R            4 8      3   6       2 2 4         3 2       4  |a x  + b  +-+
+--R       (- 8a x  - 88a b x  - 272a b x  - 320a b x  - 128b ) |-------- \|b
+--R                                                            |    2
+--R                                                           \|   x
+--R                                                    Type: Expression(Integer)
+--E 432
+
+--S 433 of 554
+t0278:= x/(a+b/x^2)^(1/2)
+--R 
+--R
+--R               x
+--R   (402)  -----------
+--R           +--------+
+--R           |   2
+--R           |a x  + b
+--R           |--------
+--R           |    2
+--R          \|   x
+--R                                                    Type: Expression(Integer)
+--E 433
+
+--S 434 of 554
+r0278:= 1/2*(a+b/x^2)^(1/2)*x^2/a-1/2*b*atanh((a+b/x^2)^(1/2)/a^(1/2))/a^(3/2)
+--R 
+--R
+--R                     +--------+
+--R                     |   2
+--R                     |a x  + b
+--R                     |--------            +--------+
+--R                     |    2               |   2
+--R                    \|   x          2 +-+ |a x  + b
+--R          - b atanh(-----------) + x \|a  |--------
+--R                         +-+              |    2
+--R                        \|a              \|   x
+--R   (403)  ------------------------------------------
+--R                               +-+
+--R                            2a\|a
+--R                                                    Type: Expression(Integer)
+--E 434
+
+--S 435 of 554
+a0278:= integrate(t0278,x)
+--R 
+--R
+--R   (404)
+--R   [
+--R                   +--------+
+--R               +-+ |   2             2     2
+--R           (2b\|b \|a x  + b  - a b x  - 2b )
+--R        *
+--R                                +--------+
+--R                 +-+ +-+        |   2            +-+         2      +-+
+--R               (\|a \|b  + a x)\|a x  + b  - a x\|b  + (- a x  - b)\|a
+--R           log(--------------------------------------------------------)
+--R                                       +--------+
+--R                                   +-+ |   2
+--R                                  \|b \|a x  + b  - b
+--R       + 
+--R                             +--------+
+--R               3         +-+ |   2             3         +-+ +-+
+--R         (- a x  - 2b x)\|a \|a x  + b  + (2a x  + 2b x)\|a \|b
+--R    /
+--R                  +--------+
+--R          +-+ +-+ |   2             2 2         +-+
+--R       4a\|a \|b \|a x  + b  + (- 2a x  - 4a b)\|a
+--R     ,
+--R
+--R                     +--------+
+--R                 +-+ |   2              2     2
+--R           (- 4b\|b \|a x  + b  + 2a b x  + 4b )
+--R        *
+--R                       +--------+
+--R                 +---+ |   2         +---+ +-+
+--R                \|- a \|a x  + b  - \|- a \|b
+--R           atan(------------------------------)
+--R                              a x
+--R       + 
+--R                               +--------+
+--R               3         +---+ |   2             3         +---+ +-+
+--R         (- a x  - 2b x)\|- a \|a x  + b  + (2a x  + 2b x)\|- a \|b
+--R    /
+--R                    +--------+
+--R          +---+ +-+ |   2             2 2         +---+
+--R       4a\|- a \|b \|a x  + b  + (- 2a x  - 4a b)\|- a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 435
+
+--S 436 of 554
+m0278a:= a0278.1-r0278
+--R 
+--R
+--R   (405)
+--R                 +--------+
+--R             +-+ |   2             2     2
+--R         (2b\|b \|a x  + b  - a b x  - 2b )
+--R      *
+--R                              +--------+
+--R               +-+ +-+        |   2            +-+         2      +-+
+--R             (\|a \|b  + a x)\|a x  + b  - a x\|b  + (- a x  - b)\|a
+--R         log(--------------------------------------------------------)
+--R                                     +--------+
+--R                                 +-+ |   2
+--R                                \|b \|a x  + b  - b
+--R     + 
+--R                                                +--------+
+--R                                                |   2
+--R                                                |a x  + b
+--R                                                |--------
+--R               +--------+                       |    2
+--R           +-+ |   2             2     2       \|   x
+--R       (2b\|b \|a x  + b  - a b x  - 2b )atanh(-----------)
+--R                                                    +-+
+--R                                                   \|a
+--R     + 
+--R                  +--------+
+--R                  |   2                                 +--------+
+--R            2 +-+ |a x  + b  +-+         3         +-+  |   2
+--R       (- 2x \|a  |-------- \|b  + (- a x  - 2b x)\|a )\|a x  + b
+--R                  |    2
+--R                 \|   x
+--R     + 
+--R                                                   +--------+
+--R                                                   |   2
+--R            3         +-+ +-+       4       2  +-+ |a x  + b
+--R       (2a x  + 2b x)\|a \|b  + (a x  + 2b x )\|a  |--------
+--R                                                   |    2
+--R                                                  \|   x
+--R  /
+--R                +--------+
+--R        +-+ +-+ |   2             2 2         +-+
+--R     4a\|a \|b \|a x  + b  + (- 2a x  - 4a b)\|a
+--R                                                    Type: Expression(Integer)
+--E 436
+
+--S 437 of 554
+d0278a:= D(m0278a,x)
+--R 
+--R
+--R   (406)
+--R                                                             +--------+
+--R                                                             |   2
+--R                    3 8      2   6         2 4      3 2  +-+ |a x  + b      4 8
+--R               (- 7a x  - 56a b x  - 112a b x  - 64b x )\|a  |--------  - 7a x
+--R                                                             |    2
+--R                                                            \|   x
+--R             + 
+--R                    3   6       2 2 4        3 2
+--R               - 56a b x  - 112a b x  - 64a b x
+--R          *
+--R              +-+
+--R             \|b
+--R         + 
+--R                                                     +--------+
+--R                                                     |   2
+--R               4 9      3   7      2 2 5        3 3  |a x  + b
+--R           (- a x  - 24a b x  - 80a b x  - 64a b x ) |--------
+--R                                                     |    2
+--R                                                    \|   x
+--R         + 
+--R               4 9      3   7       2 2 5         3 3      4   +-+
+--R           (- a x  - 25a b x  - 104a b x  - 144a b x  - 64b x)\|a
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R                                                     +--------+
+--R                                                     |   2
+--R              4 9      3   7       2 2 5        3 3  |a x  + b
+--R           (7a x  + 56a b x  + 112a b x  + 64a b x ) |--------
+--R                                                     |    2
+--R                                                    \|   x
+--R         + 
+--R              4 9      3   7       2 2 5         3 3      4   +-+
+--R           (7a x  + 63a b x  + 168a b x  + 176a b x  + 64b x)\|a
+--R      *
+--R          +-+
+--R         \|b
+--R     + 
+--R                                                               +--------+
+--R                                                               |   2
+--R         4 10      3   8       2 2 6         3 4      4 2  +-+ |a x  + b
+--R       (a x   + 25a b x  + 104a b x  + 144a b x  + 64b x )\|a  |--------
+--R                                                               |    2
+--R                                                              \|   x
+--R     + 
+--R        5 10      4   8       3 2 6       2 3 4        4 2
+--R       a x   + 25a b x  + 104a b x  + 144a b x  + 64a b x
+--R  /
+--R                                                    +--------+
+--R                                                    |   2
+--R              4 7      3   5       2 2 3        3   |a x  + b  +-+
+--R           (7a x  + 56a b x  + 112a b x  + 64a b x) |-------- \|b
+--R                                                    |    2
+--R                                                   \|   x
+--R         + 
+--R                                                                +--------+
+--R                                                                |   2
+--R             4 8      3   6       2 2 4         3 2      4  +-+ |a x  + b
+--R           (a x  + 25a b x  + 104a b x  + 144a b x  + 64b )\|a  |--------
+--R                                                                |    2
+--R                                                               \|   x
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R                                                               +--------+
+--R                                                               |   2
+--R            4 8      3   6       2 2 4         3 2      4  +-+ |a x  + b  +-+
+--R       (- 7a x  - 63a b x  - 168a b x  - 176a b x  - 64b )\|a  |-------- \|b
+--R                                                               |    2
+--R                                                              \|   x
+--R     + 
+--R                                                             +--------+
+--R                                                             |   2
+--R           5 9      4   7       3 2 5       2 3 3        4   |a x  + b
+--R       (- a x  - 25a b x  - 104a b x  - 144a b x  - 64a b x) |--------
+--R                                                             |    2
+--R                                                            \|   x
+--R                                                    Type: Expression(Integer)
+--E 437
+
+--S 438 of 554
+m0278b:= a0278.2-r0278
+--R 
+--R
+--R   (407)
+--R                                                                +--------+
+--R                                                                |   2
+--R                                                                |a x  + b
+--R                                                                |--------
+--R                     +--------+                                 |    2
+--R           +---+ +-+ |   2                2     2  +---+       \|   x
+--R       (2b\|- a \|b \|a x  + b  + (- a b x  - 2b )\|- a )atanh(-----------)
+--R                                                                    +-+
+--R                                                                   \|a
+--R     + 
+--R                       +--------+
+--R               +-+ +-+ |   2               2     2  +-+
+--R         (- 4b\|a \|b \|a x  + b  + (2a b x  + 4b )\|a )
+--R      *
+--R                     +--------+
+--R               +---+ |   2         +---+ +-+
+--R              \|- a \|a x  + b  - \|- a \|b
+--R         atan(------------------------------)
+--R                            a x
+--R     + 
+--R                        +--------+
+--R                        |   2                                       +--------+
+--R            2 +---+ +-+ |a x  + b  +-+         3         +---+ +-+  |   2
+--R       (- 2x \|- a \|a  |-------- \|b  + (- a x  - 2b x)\|- a \|a )\|a x  + b
+--R                        |    2
+--R                       \|   x
+--R     + 
+--R                                                               +--------+
+--R                                                               |   2
+--R            3         +---+ +-+ +-+       4       2  +---+ +-+ |a x  + b
+--R       (2a x  + 2b x)\|- a \|a \|b  + (a x  + 2b x )\|- a \|a  |--------
+--R                                                               |    2
+--R                                                              \|   x
+--R  /
+--R                      +--------+
+--R        +---+ +-+ +-+ |   2             2 2         +---+ +-+
+--R     4a\|- a \|a \|b \|a x  + b  + (- 2a x  - 4a b)\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 438
+
+--S 439 of 554
+d0278b:= D(m0278b,x)
+--R 
+--R
+--R   (408)
+--R                          +--------+
+--R                          |   2                                   +--------+
+--R               4       2  |a x  + b  +-+    2 5         3     2   |   2
+--R       ((- 4a x  - 8b x ) |-------- \|b  - a x  - 8a b x  - 8b x)\|a x  + b
+--R                          |    2
+--R                         \|   x
+--R     + 
+--R                                                                +--------+
+--R                                                                |   2
+--R          2 5          3     2   +-+     2 6         4     2 2  |a x  + b
+--R       (4a x  + 12a b x  + 8b x)\|b  + (a x  + 8a b x  + 8b x ) |--------
+--R                                                                |    2
+--R                                                               \|   x
+--R  /
+--R                              +--------+
+--R                              |   2      +--------+
+--R         2 4         2     2  |a x  + b  |   2
+--R       (a x  + 8a b x  + 8b ) |-------- \|a x  + b
+--R                              |    2
+--R                             \|   x
+--R     + 
+--R                                  +--------+
+--R                                  |   2
+--R            2 4          2     2  |a x  + b  +-+
+--R       (- 4a x  - 12a b x  - 8b ) |-------- \|b
+--R                                  |    2
+--R                                 \|   x
+--R                                                    Type: Expression(Integer)
+--E 439
+
+--S 440 of 554
+t0279:= 1/x/(a+b/x^2)^(1/2)
+--R 
+--R
+--R                1
+--R   (409)  ------------
+--R            +--------+
+--R            |   2
+--R            |a x  + b
+--R          x |--------
+--R            |    2
+--R           \|   x
+--R                                                    Type: Expression(Integer)
+--E 440
+
+--S 441 of 554
+r0279:= atanh((a+b/x^2)^(1/2)/a^(1/2))/a^(1/2)
+--R 
+--R
+--R                 +--------+
+--R                 |   2
+--R                 |a x  + b
+--R                 |--------
+--R                 |    2
+--R                \|   x
+--R          atanh(-----------)
+--R                     +-+
+--R                    \|a
+--R   (410)  ------------------
+--R                  +-+
+--R                 \|a
+--R                                                    Type: Expression(Integer)
+--E 441
+
+--S 442 of 554
+a0279:= integrate(t0279,x)
+--R 
+--R
+--R   (411)
+--R                         +--------+
+--R          +-+ +-+        |   2            +-+         2      +-+
+--R        (\|a \|b  - a x)\|a x  + b  + a x\|b  + (- a x  - b)\|a
+--R    log(--------------------------------------------------------)
+--R                                +--------+
+--R                            +-+ |   2
+--R                           \|b \|a x  + b  - b
+--R   [-------------------------------------------------------------,
+--R                                  +-+
+--R                                 \|a
+--R                 +--------+
+--R           +---+ |   2         +---+ +-+
+--R          \|- a \|a x  + b  - \|- a \|b
+--R    2atan(------------------------------)
+--R                        a x
+--R    -------------------------------------]
+--R                     +---+
+--R                    \|- a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 442
+
+--S 443 of 554
+m0279a:= a0279.1-r0279
+--R 
+--R
+--R   (412)
+--R                            +--------+
+--R             +-+ +-+        |   2            +-+         2      +-+
+--R           (\|a \|b  - a x)\|a x  + b  + a x\|b  + (- a x  - b)\|a
+--R       log(--------------------------------------------------------)
+--R                                   +--------+
+--R                               +-+ |   2
+--R                              \|b \|a x  + b  - b
+--R     + 
+--R                +--------+
+--R                |   2
+--R                |a x  + b
+--R                |--------
+--R                |    2
+--R               \|   x
+--R       - atanh(-----------)
+--R                    +-+
+--R                   \|a
+--R  /
+--R      +-+
+--R     \|a
+--R                                                    Type: Expression(Integer)
+--E 443
+
+--S 444 of 554
+d0279a:= D(m0279a,x)
+--R 
+--R
+--R   (413)
+--R                               +--------+
+--R                               |   2
+--R                 3         +-+ |a x  + b      2 3           +-+
+--R           ((3a x  + 4b x)\|a  |--------  - 3a x  - 4a b x)\|b
+--R                               |    2
+--R                              \|   x
+--R         + 
+--R                              +--------+
+--R                              |   2
+--R               2 4         2  |a x  + b      2 4         2     2  +-+
+--R           (- a x  - 4a b x ) |--------  + (a x  + 5a b x  + 4b )\|a
+--R                              |    2
+--R                             \|   x
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R                          +--------+
+--R                          |   2
+--R           2 4         2  |a x  + b         2 4         2     2  +-+  +-+
+--R       ((3a x  + 4a b x ) |--------  + (- 3a x  - 7a b x  - 4b )\|a )\|b
+--R                          |    2
+--R                         \|   x
+--R     + 
+--R                                     +--------+
+--R                                     |   2
+--R           2 5         3     2   +-+ |a x  + b     3 5     2   3       2
+--R       (- a x  - 5a b x  - 4b x)\|a  |--------  + a x  + 5a b x  + 4a b x
+--R                                     |    2
+--R                                    \|   x
+--R  /
+--R                             +--------+
+--R                             |   2
+--R              2 4         2  |a x  + b  +-+
+--R           (3a x  + 4a b x ) |-------- \|b
+--R                             |    2
+--R                            \|   x
+--R         + 
+--R                                         +--------+
+--R                                         |   2
+--R               2 5         3     2   +-+ |a x  + b
+--R           (- a x  - 5a b x  - 4b x)\|a  |--------
+--R                                         |    2
+--R                                        \|   x
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R                                    +--------+
+--R                                    |   2
+--R          2 5         3     2   +-+ |a x  + b  +-+
+--R       (3a x  + 7a b x  + 4b x)\|a  |-------- \|b
+--R                                    |    2
+--R                                   \|   x
+--R     + 
+--R                                    +--------+
+--R                                    |   2
+--R           3 6     2   4       2 2  |a x  + b
+--R       (- a x  - 5a b x  - 4a b x ) |--------
+--R                                    |    2
+--R                                   \|   x
+--R                                                    Type: Expression(Integer)
+--E 444
+
+--S 445 of 554
+m0279b:= a0279.2-r0279
+--R 
+--R
+--R   (414)
+--R                  +--------+
+--R                  |   2
+--R                  |a x  + b
+--R                  |--------                      +--------+
+--R                  |    2                   +---+ |   2         +---+ +-+
+--R      +---+      \|   x           +-+     \|- a \|a x  + b  - \|- a \|b
+--R   - \|- a atanh(-----------) + 2\|a atan(------------------------------)
+--R                      +-+                               a x
+--R                     \|a
+--R   ----------------------------------------------------------------------
+--R                                  +---+ +-+
+--R                                 \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 445
+
+--S 446 of 554
+d0279b:= D(m0279b,x)
+--R 
+--R
+--R                            +--------+
+--R             +--------+     |   2
+--R             |   2          |a x  + b
+--R          - \|a x  + b  + x |--------
+--R                            |    2
+--R                           \|   x
+--R   (415)  ----------------------------
+--R               +--------+
+--R               |   2      +--------+
+--R               |a x  + b  |   2
+--R             x |-------- \|a x  + b
+--R               |    2
+--R              \|   x
+--R                                                    Type: Expression(Integer)
+--E 446
+
+--S 447 of 554
+t0280:= 1/x/(-a+b/x^2)^(1/2)
+--R 
+--R
+--R                 1
+--R   (416)  --------------
+--R            +----------+
+--R            |     2
+--R            |- a x  + b
+--R          x |----------
+--R            |     2
+--R           \|    x
+--R                                                    Type: Expression(Integer)
+--E 447
+
+--S 448 of 554
+r0280:= -atan((-a+b/x^2)^(1/2)/a^(1/2))/a^(1/2)
+--R 
+--R
+--R                  +----------+
+--R                  |     2
+--R                  |- a x  + b
+--R                  |----------
+--R                  |     2
+--R                 \|    x
+--R            atan(-------------)
+--R                       +-+
+--R                      \|a
+--R   (417)  - -------------------
+--R                     +-+
+--R                    \|a
+--R                                                    Type: Expression(Integer)
+--E 448
+
+--S 449 of 554
+a0280:= integrate(t0280,x)
+--R 
+--R
+--R   (418)
+--R          +----------+                                           +----------+
+--R          |     2      +---+        +-+       2      +---+       |     2
+--R        (\|- a x  + b \|- a  - a x)\|b  + (a x  - b)\|- a  + a x\|- a x  + b
+--R    log(---------------------------------------------------------------------)
+--R                                 +----------+
+--R                                 |     2      +-+
+--R                                \|- a x  + b \|b  - b
+--R   [--------------------------------------------------------------------------,
+--R                                       +---+
+--R                                      \|- a
+--R                      +----------+
+--R           +-+ +-+    |     2      +-+
+--R          \|a \|b  - \|- a x  + b \|a
+--R    2atan(----------------------------)
+--R                       a x
+--R    -----------------------------------]
+--R                     +-+
+--R                    \|a
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 449
+
+--S 450 of 554
+m0280a:= a0280.1-r0280
+--R 
+--R
+--R   (419)
+--R          +-+
+--R         \|a
+--R      *
+--R         log
+--R                  +----------+
+--R                  |     2      +---+        +-+       2      +---+
+--R                (\|- a x  + b \|- a  - a x)\|b  + (a x  - b)\|- a
+--R              + 
+--R                    +----------+
+--R                    |     2
+--R                a x\|- a x  + b
+--R           /
+--R               +----------+
+--R               |     2      +-+
+--R              \|- a x  + b \|b  - b
+--R     + 
+--R                   +----------+
+--R                   |     2
+--R                   |- a x  + b
+--R                   |----------
+--R                   |     2
+--R        +---+     \|    x
+--R       \|- a atan(-------------)
+--R                        +-+
+--R                       \|a
+--R  /
+--R      +---+ +-+
+--R     \|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 450
+
+--S 451 of 554
+d0280a:= D(m0280a,x)
+--R 
+--R
+--R   (420)
+--R                                                                   +----------+
+--R                             +----------+                          |     2
+--R                   3         |     2      +---+     2 4         2  |- a x  + b
+--R           ((- 3a x  + 4b x)\|- a x  + b \|- a  + 3a x  - 4a b x ) |----------
+--R                                                                   |     2
+--R                                                                  \|    x
+--R         + 
+--R                                                                +----------+
+--R                2 4         2     2  +---+        2 3           |     2
+--R           (- 3a x  + 7a b x  - 4b )\|- a  + (- 3a x  + 4a b x)\|- a x  + b
+--R      *
+--R          +-+
+--R         \|b
+--R     + 
+--R                                                               +----------+
+--R              2 5         3     2   +---+       2 4         2  |     2
+--R         ((- a x  + 5a b x  - 4b x)\|- a  + (- a x  + 4a b x )\|- a x  + b )
+--R      *
+--R          +----------+
+--R          |     2
+--R          |- a x  + b
+--R          |----------
+--R          |     2
+--R         \|    x
+--R     + 
+--R                              +----------+
+--R         2 4         2     2  |     2      +---+    3 5     2   3       2
+--R       (a x  - 5a b x  + 4b )\|- a x  + b \|- a  - a x  + 5a b x  - 4a b x
+--R  /
+--R                                                             +----------+
+--R             2 5         3     2   +---+      2 4         2  |     2
+--R         ((3a x  - 7a b x  + 4b x)\|- a  + (3a x  - 4a b x )\|- a x  + b )
+--R      *
+--R          +----------+
+--R          |     2
+--R          |- a x  + b  +-+
+--R          |---------- \|b
+--R          |     2
+--R         \|    x
+--R     + 
+--R                                       +----------+
+--R                 2 5         3     2   |     2      +---+    3 6     2   4
+--R             (- a x  + 5a b x  - 4b x)\|- a x  + b \|- a  + a x  - 5a b x
+--R           + 
+--R                 2 2
+--R             4a b x
+--R      *
+--R          +----------+
+--R          |     2
+--R          |- a x  + b
+--R          |----------
+--R          |     2
+--R         \|    x
+--R                                                    Type: Expression(Integer)
+--E 451
+
+--S 452 of 554
+m0280b:= a0280.2-r0280
+--R 
+--R
+--R                                                      +----------+
+--R                                                      |     2
+--R                                                      |- a x  + b
+--R                            +----------+              |----------
+--R                 +-+ +-+    |     2      +-+          |     2
+--R                \|a \|b  - \|- a x  + b \|a          \|    x
+--R          2atan(----------------------------) + atan(-------------)
+--R                             a x                           +-+
+--R                                                          \|a
+--R   (421)  ---------------------------------------------------------
+--R                                      +-+
+--R                                     \|a
+--R                                                    Type: Expression(Integer)
+--E 452
+
+--S 453 of 554
+d0280b:= D(m0280b,x)
+--R 
+--R
+--R            +----------+
+--R            |     2         +----------+
+--R            |- a x  + b     |     2
+--R          x |----------  - \|- a x  + b
+--R            |     2
+--R           \|    x
+--R   (422)  ------------------------------
+--R                           +----------+
+--R              +----------+ |     2
+--R              |     2      |- a x  + b
+--R            x\|- a x  + b  |----------
+--R                           |     2
+--R                          \|    x
+--R                                                    Type: Expression(Integer)
+--E 453
+
+--S 454 of 554
+t0281:= 1/x^2/(2+b/x^2)^(1/2)
+--R 
+--R
+--R                1
+--R   (423)  ------------
+--R             +-------+
+--R             |  2
+--R           2 |2x  + b
+--R          x  |-------
+--R             |    2
+--R            \|   x
+--R                                                    Type: Expression(Integer)
+--E 454
+
+--S 455 of 554
+r0281:= -asinh(1/2*b^(1/2)*2^(1/2)/x)/b^(1/2)
+--R 
+--R
+--R                   +-+ +-+
+--R                  \|2 \|b
+--R            asinh(--------)
+--R                     2x
+--R   (424)  - ---------------
+--R                   +-+
+--R                  \|b
+--R                                                    Type: Expression(Integer)
+--E 455
+
+--S 456 of 554
+a0281:= integrate(t0281,x)
+--R 
+--R
+--R                   +-------+
+--R                   |  2         +-+
+--R           +-+    \|2x  + b  - \|b
+--R          \|b log(-----------------)
+--R                          x
+--R   (425)  --------------------------
+--R                       b
+--R                                         Type: Union(Expression(Integer),...)
+--E 456
+
+--S 457 of 554
+m0281:= a0281-r0281
+--R 
+--R
+--R               +-------+
+--R               |  2         +-+           +-+ +-+
+--R              \|2x  + b  - \|b           \|2 \|b
+--R          log(-----------------) + asinh(--------)
+--R                      x                     2x
+--R   (426)  ----------------------------------------
+--R                             +-+
+--R                            \|b
+--R                                                    Type: Expression(Integer)
+--E 457
+
+--S 458 of 554
+d0281:= D(m0281,x)
+--R 
+--R
+--R   (427)
+--R                    +-------+                 +-------+
+--R                    |  2       +-------+      |  2
+--R       +-+ +-+      |2x  + b   |  2           |2x  + b  +-+      2      +-+
+--R   (- \|2 \|b  - 2x |------- )\|2x  + b  + 2x |------- \|b  + (2x  + b)\|2
+--R                    |    2                    |    2
+--R                   \|  2x                    \|  2x
+--R   ------------------------------------------------------------------------
+--R                +-------+                                 +-------+
+--R                |  2          +-------+                   |  2
+--R              2 |2x  + b  +-+ |  2             4       2  |2x  + b
+--R            2x  |------- \|b \|2x  + b  + (- 4x  - 2b x ) |-------
+--R                |    2                                    |    2
+--R               \|  2x                                    \|  2x
+--R                                                    Type: Expression(Integer)
+--E 458
+
+--S 459 of 554
+t0282:= 1/x^2/(2-b/x^2)^(1/2)
+--R 
+--R
+--R                1
+--R   (428)  ------------
+--R             +-------+
+--R             |  2
+--R           2 |2x  - b
+--R          x  |-------
+--R             |    2
+--R            \|   x
+--R                                                    Type: Expression(Integer)
+--E 459
+
+--S 460 of 554
+r0282:= -asin(1/2*b^(1/2)*2^(1/2)/x)/b^(1/2)
+--R 
+--R
+--R                  +-+ +-+
+--R                 \|2 \|b
+--R            asin(--------)
+--R                    2x
+--R   (429)  - --------------
+--R                  +-+
+--R                 \|b
+--R                                                    Type: Expression(Integer)
+--E 460
+
+--S 461 of 554
+a0282:= integrate(t0282,x)
+--R 
+--R
+--R                       +-------+
+--R                       |  2         +---+
+--R             +---+    \|2x  - b  - \|- b
+--R            \|- b log(-------------------)
+--R                               x
+--R   (430)  - ------------------------------
+--R                           b
+--R                                         Type: Union(Expression(Integer),...)
+--E 461
+
+--S 462 of 554
+m0282:= a0282-r0282
+--R 
+--R
+--R                           +-------+
+--R                           |  2         +---+            +-+ +-+
+--R             +---+ +-+    \|2x  - b  - \|- b            \|2 \|b
+--R          - \|- b \|b log(-------------------) + b asin(--------)
+--R                                   x                       2x
+--R   (431)  -------------------------------------------------------
+--R                                     +-+
+--R                                   b\|b
+--R                                                    Type: Expression(Integer)
+--E 462
+
+--S 463 of 554
+d0282:= D(m0282,x)
+--R 
+--R
+--R   (432)
+--R         +-------+                                    +-------+
+--R         |  2                    +-------+            |  2
+--R         |2x  - b     +-+ +---+  |  2           +---+ |2x  - b       2      +-+
+--R   (- 2x |-------  - \|2 \|- b )\|2x  - b  + 2x\|- b  |-------  + (2x  - b)\|2
+--R         |    2                                       |    2
+--R        \|  2x                                       \|  2x
+--R   ----------------------------------------------------------------------------
+--R                       +-------+                             +-------+
+--R                       |  2      +-------+                   |  2
+--R               2 +---+ |2x  - b  |  2             4       2  |2x  - b
+--R             2x \|- b  |------- \|2x  - b  + (- 4x  + 2b x ) |-------
+--R                       |    2                                |    2
+--R                      \|  2x                                \|  2x
+--R                                                    Type: Expression(Integer)
+--E 463
+
+--S 464 of 554
+t0283:= 1/x^2/(a+b/x^2)^(1/2)
+--R 
+--R
+--R                1
+--R   (433)  -------------
+--R             +--------+
+--R             |   2
+--R           2 |a x  + b
+--R          x  |--------
+--R             |    2
+--R            \|   x
+--R                                                    Type: Expression(Integer)
+--E 464
+
+--S 465 of 554
+r0283:= -atanh((a+b/x^2)^(1/2)*x/b^(1/2))/b^(1/2)
+--R 
+--R
+--R                    +--------+
+--R                    |   2
+--R                    |a x  + b
+--R                  x |--------
+--R                    |    2
+--R                   \|   x
+--R            atanh(------------)
+--R                       +-+
+--R                      \|b
+--R   (434)  - -------------------
+--R                     +-+
+--R                    \|b
+--R                                                    Type: Expression(Integer)
+--E 465
+
+--S 466 of 554
+a0283:= integrate(t0283,x)
+--R 
+--R
+--R                   +--------+
+--R                   |   2         +-+
+--R           +-+    \|a x  + b  - \|b
+--R          \|b log(------------------)
+--R                           x
+--R   (435)  ---------------------------
+--R                       b
+--R                                         Type: Union(Expression(Integer),...)
+--E 466
+
+--S 467 of 554
+m0283:= a0283-r0283
+--R 
+--R
+--R                                            +--------+
+--R                                            |   2
+--R                                            |a x  + b
+--R               +--------+                 x |--------
+--R               |   2         +-+            |    2
+--R              \|a x  + b  - \|b            \|   x
+--R          log(------------------) + atanh(------------)
+--R                       x                       +-+
+--R                                              \|b
+--R   (436)  ---------------------------------------------
+--R                                +-+
+--R                               \|b
+--R                                                    Type: Expression(Integer)
+--E 467
+
+--S 468 of 554
+d0283:= D(m0283,x)
+--R 
+--R
+--R                      +--------+                 +--------+
+--R                      |   2       +--------+     |   2
+--R              +-+     |a x  + b   |   2          |a x  + b  +-+      2
+--R          (- \|b  - x |-------- )\|a x  + b  + x |-------- \|b  + a x  + b
+--R                      |    2                     |    2
+--R                     \|   x                     \|   x
+--R   (437)  ----------------------------------------------------------------
+--R                 +--------+                                  +--------+
+--R                 |   2          +--------+                   |   2
+--R               2 |a x  + b  +-+ |   2              4      2  |a x  + b
+--R              x  |-------- \|b \|a x  + b  + (- a x  - b x ) |--------
+--R                 |    2                                      |    2
+--R                \|   x                                      \|   x
+--R                                                    Type: Expression(Integer)
+--E 468
+
+--S 469 of 554
+t0284:= x^3*(a+b/x^2)^(1/2)
+--R 
+--R
+--R             +--------+
+--R             |   2
+--R           3 |a x  + b
+--R   (438)  x  |--------
+--R             |    2
+--R            \|   x
+--R                                                    Type: Expression(Integer)
+--E 469
+
+--S 470 of 554
+r0284:= 1/8*b*(a+b/x^2)^(1/2)*x^2/a+1/4*(a+b/x^2)^(1/2)*x^4-_
+        1/8*b^2*atanh((a+b/x^2)^(1/2)/a^(1/2))/a^(3/2)
+--R 
+--R
+--R                     +--------+
+--R                     |   2
+--R                     |a x  + b
+--R                     |--------                        +--------+
+--R                     |    2                           |   2
+--R             2      \|   x              4      2  +-+ |a x  + b
+--R          - b atanh(-----------) + (2a x  + b x )\|a  |--------
+--R                         +-+                          |    2
+--R                        \|a                          \|   x
+--R   (439)  ------------------------------------------------------
+--R                                     +-+
+--R                                  8a\|a
+--R                                                    Type: Expression(Integer)
+--E 470
+
+--S 471 of 554
+a0284:= integrate(t0284,x)
+--R 
+--R
+--R   (440)
+--R   [
+--R                                +--------+
+--R                 2 2     3  +-+ |   2         2 2 4       3 2     4
+--R           ((4a b x  + 8b )\|b \|a x  + b  - a b x  - 8a b x  - 8b )
+--R        *
+--R                                +--------+
+--R                 +-+ +-+        |   2            +-+         2      +-+
+--R               (\|a \|b  + a x)\|a x  + b  - a x\|b  + (- a x  - b)\|a
+--R           log(--------------------------------------------------------)
+--R                                       +--------+
+--R                                   +-+ |   2
+--R                                  \|b \|a x  + b  - b
+--R       + 
+--R                                                    +--------+
+--R              3 7      2   5        2 3     3   +-+ |   2
+--R         (- 2a x  - 17a b x  - 24a b x  - 8b x)\|a \|a x  + b
+--R       + 
+--R            3 7      2   5        2 3     3   +-+ +-+
+--R         (8a x  + 28a b x  + 28a b x  + 8b x)\|a \|b
+--R    /
+--R                                +--------+
+--R           2 2          +-+ +-+ |   2             3 4      2   2        2  +-+
+--R       (32a x  + 64a b)\|a \|b \|a x  + b  + (- 8a x  - 64a b x  - 64a b )\|a
+--R     ,
+--R
+--R                                   +--------+
+--R                   2 2      3  +-+ |   2          2 2 4        3 2      4
+--R           ((- 8a b x  - 16b )\|b \|a x  + b  + 2a b x  + 16a b x  + 16b )
+--R        *
+--R                       +--------+
+--R                 +---+ |   2         +---+ +-+
+--R                \|- a \|a x  + b  - \|- a \|b
+--R           atan(------------------------------)
+--R                              a x
+--R       + 
+--R                                                      +--------+
+--R              3 7      2   5        2 3     3   +---+ |   2
+--R         (- 2a x  - 17a b x  - 24a b x  - 8b x)\|- a \|a x  + b
+--R       + 
+--R            3 7      2   5        2 3     3   +---+ +-+
+--R         (8a x  + 28a b x  + 28a b x  + 8b x)\|- a \|b
+--R    /
+--R                                    +--------+
+--R             2 2          +---+ +-+ |   2
+--R         (32a x  + 64a b)\|- a \|b \|a x  + b
+--R       + 
+--R              3 4      2   2        2  +---+
+--R         (- 8a x  - 64a b x  - 64a b )\|- a
+--R     ]
+--R                                   Type: Union(List(Expression(Integer)),...)
+--E 471
+
+--S 472 of 554
+m0284a:= a0284.1-r0284
+--R 
+--R
+--R   (441)
+--R                              +--------+
+--R               2 2     3  +-+ |   2         2 2 4       3 2     4
+--R         ((4a b x  + 8b )\|b \|a x  + b  - a b x  - 8a b x  - 8b )
+--R      *
+--R                              +--------+
+--R               +-+ +-+        |   2            +-+         2      +-+
+--R             (\|a \|b  + a x)\|a x  + b  - a x\|b  + (- a x  - b)\|a
+--R         log(--------------------------------------------------------)
+--R                                     +--------+
+--R                                 +-+ |   2
+--R                                \|b \|a x  + b  - b
+--R     + 
+--R                              +--------+
+--R               2 2     3  +-+ |   2         2 2 4       3 2     4
+--R         ((4a b x  + 8b )\|b \|a x  + b  - a b x  - 8a b x  - 8b )
+--R      *
+--R                +--------+
+--R                |   2
+--R                |a x  + b
+--R                |--------
+--R                |    2
+--R               \|   x
+--R         atanh(-----------)
+--R                    +-+
+--R                   \|a
+--R     + 
+--R                                            +--------+
+--R                                            |   2
+--R                2 6          4     2 2  +-+ |a x  + b  +-+
+--R           (- 8a x  - 20a b x  - 8b x )\|a  |-------- \|b
+--R                                            |    2
+--R                                           \|   x
+--R         + 
+--R                3 7      2   5        2 3     3   +-+
+--R           (- 2a x  - 17a b x  - 24a b x  - 8b x)\|a
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R          3 7      2   5        2 3     3   +-+ +-+
+--R       (8a x  + 28a b x  + 28a b x  + 8b x)\|a \|b
+--R     + 
+--R                                                 +--------+
+--R                                                 |   2
+--R          3 8      2   6        2 4     3 2  +-+ |a x  + b
+--R       (2a x  + 17a b x  + 24a b x  + 8b x )\|a  |--------
+--R                                                 |    2
+--R                                                \|   x
+--R  /
+--R                              +--------+
+--R         2 2          +-+ +-+ |   2             3 4      2   2        2  +-+
+--R     (32a x  + 64a b)\|a \|b \|a x  + b  + (- 8a x  - 64a b x  - 64a b )\|a
+--R                                                    Type: Expression(Integer)
+--E 472
+
+--S 473 of 554
+d0284a:= D(m0284a,x)
+--R 
+--R
+--R   (442)
+--R                        6 14       5   12        4 2 10        3 3 8
+--R                   - 11a x   - 231a b x   - 1452a b x   - 4048a b x
+--R                 + 
+--R                          2 4 6          5 4        6 2
+--R                   - 5632a b x  - 3840a b x  - 1024b x
+--R              *
+--R                      +--------+
+--R                      |   2
+--R                  +-+ |a x  + b
+--R                 \|a  |--------
+--R                      |    2
+--R                     \|   x
+--R             + 
+--R                    7 14       6   12        5 2 10        4 3 8        3 4 6
+--R               - 11a x   - 231a b x   - 1452a b x   - 4048a b x  - 5632a b x
+--R             + 
+--R                      2 5 4          6 2
+--R               - 3840a b x  - 1024a b x
+--R          *
+--R              +-+
+--R             \|b
+--R         + 
+--R                  7 15      6   13       5 2 11        4 3 9        3 4 7
+--R               - a x   - 61a b x   - 620a b x   - 2352a b x  - 4096a b x
+--R             + 
+--R                      2 5 5          6 3
+--R               - 3328a b x  - 1024a b x
+--R          *
+--R              +--------+
+--R              |   2
+--R              |a x  + b
+--R              |--------
+--R              |    2
+--R             \|   x
+--R         + 
+--R                  7 15      6   13       5 2 11        4 3 9        3 4 7
+--R               - a x   - 62a b x   - 681a b x   - 2972a b x  - 6448a b x
+--R             + 
+--R                      2 5 5          6 3        7
+--R               - 7424a b x  - 4352a b x  - 1024b x
+--R          *
+--R              +-+
+--R             \|a
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R                  7 15       6   13        5 2 11        4 3 9        3 4 7
+--R               11a x   + 231a b x   + 1452a b x   + 4048a b x  + 5632a b x
+--R             + 
+--R                    2 5 5          6 3
+--R               3840a b x  + 1024a b x
+--R          *
+--R              +--------+
+--R              |   2
+--R              |a x  + b
+--R              |--------
+--R              |    2
+--R             \|   x
+--R         + 
+--R                  7 15       6   13        5 2 11        4 3 9        3 4 7
+--R               11a x   + 242a b x   + 1683a b x   + 5500a b x  + 9680a b x
+--R             + 
+--R                    2 5 5          6 3        7
+--R               9472a b x  + 4864a b x  + 1024b x
+--R          *
+--R              +-+
+--R             \|a
+--R      *
+--R          +-+
+--R         \|b
+--R     + 
+--R            7 16      6   14       5 2 12        4 3 10        3 4 8
+--R           a x   + 62a b x   + 681a b x   + 2972a b x   + 6448a b x
+--R         + 
+--R                2 5 6          6 4        7 2
+--R           7424a b x  + 4352a b x  + 1024b x
+--R      *
+--R              +--------+
+--R              |   2
+--R          +-+ |a x  + b
+--R         \|a  |--------
+--R              |    2
+--R             \|   x
+--R     + 
+--R        8 16      7   14       6 2 12        5 3 10        4 4 8        3 5 6
+--R       a x   + 62a b x   + 681a b x   + 2972a b x   + 6448a b x  + 7424a b x
+--R     + 
+--R            2 6 4          7 2
+--R       4352a b x  + 1024a b x
+--R  /
+--R                  6 11       5   9        4 2 7        3 3 5        2 4 3
+--R               11a x   + 220a b x  + 1232a b x  + 2816a b x  + 2816a b x
+--R             + 
+--R                      5
+--R               1024a b x
+--R          *
+--R              +--------+
+--R              |   2
+--R              |a x  + b  +-+
+--R              |-------- \|b
+--R              |    2
+--R             \|   x
+--R         + 
+--R                6 12      5   10       4 2 8        3 3 6        2 4 4
+--R               a x   + 61a b x   + 620a b x  + 2352a b x  + 4096a b x
+--R             + 
+--R                      5 2        6
+--R               3328a b x  + 1024b
+--R          *
+--R                  +--------+
+--R                  |   2
+--R              +-+ |a x  + b
+--R             \|a  |--------
+--R                  |    2
+--R                 \|   x
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R                6 12       5   10        4 2 8        3 3 6        2 4 4
+--R           - 11a x   - 231a b x   - 1452a b x  - 4048a b x  - 5632a b x
+--R         + 
+--R                    5 2        6
+--R           - 3840a b x  - 1024b
+--R      *
+--R              +--------+
+--R              |   2
+--R          +-+ |a x  + b  +-+
+--R         \|a  |-------- \|b
+--R              |    2
+--R             \|   x
+--R     + 
+--R              7 13      6   11       5 2 9        4 3 7        3 4 5
+--R           - a x   - 61a b x   - 620a b x  - 2352a b x  - 4096a b x
+--R         + 
+--R                  2 5 3          6
+--R           - 3328a b x  - 1024a b x
+--R      *
+--R          +--------+
+--R          |   2
+--R          |a x  + b
+--R          |--------
+--R          |    2
+--R         \|   x
+--R                                                    Type: Expression(Integer)
+--E 473
+
+--S 474 of 554
+m0284b:= a0284.2-r0284
+--R 
+--R
+--R   (443)
+--R                                       +--------+
+--R                  2 2     3  +---+ +-+ |   2
+--R             (4a b x  + 8b )\|- a \|b \|a x  + b
+--R           + 
+--R                 2 2 4       3 2     4  +---+
+--R             (- a b x  - 8a b x  - 8b )\|- a
+--R      *
+--R                +--------+
+--R                |   2
+--R                |a x  + b
+--R                |--------
+--R                |    2
+--R               \|   x
+--R         atanh(-----------)
+--R                    +-+
+--R                   \|a
+--R     + 
+--R                                        +--------+
+--R                    2 2      3  +-+ +-+ |   2
+--R             (- 8a b x  - 16b )\|a \|b \|a x  + b
+--R           + 
+--R                2 2 4        3 2      4  +-+
+--R             (2a b x  + 16a b x  + 16b )\|a
+--R      *
+--R                     +--------+
+--R               +---+ |   2         +---+ +-+
+--R              \|- a \|a x  + b  - \|- a \|b
+--R         atan(------------------------------)
+--R                            a x
+--R     + 
+--R                                                  +--------+
+--R                                                  |   2
+--R                2 6          4     2 2  +---+ +-+ |a x  + b  +-+
+--R           (- 8a x  - 20a b x  - 8b x )\|- a \|a  |-------- \|b
+--R                                                  |    2
+--R                                                 \|   x
+--R         + 
+--R                3 7      2   5        2 3     3   +---+ +-+
+--R           (- 2a x  - 17a b x  - 24a b x  - 8b x)\|- a \|a
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R          3 7      2   5        2 3     3   +---+ +-+ +-+
+--R       (8a x  + 28a b x  + 28a b x  + 8b x)\|- a \|a \|b
+--R     + 
+--R                                                       +--------+
+--R                                                       |   2
+--R          3 8      2   6        2 4     3 2  +---+ +-+ |a x  + b
+--R       (2a x  + 17a b x  + 24a b x  + 8b x )\|- a \|a  |--------
+--R                                                       |    2
+--R                                                      \|   x
+--R  /
+--R                                      +--------+
+--R           2 2          +---+ +-+ +-+ |   2
+--R       (32a x  + 64a b)\|- a \|a \|b \|a x  + b
+--R     + 
+--R            3 4      2   2        2  +---+ +-+
+--R       (- 8a x  - 64a b x  - 64a b )\|- a \|a
+--R                                                    Type: Expression(Integer)
+--E 474
+
+--S 475 of 554
+d0284b:= D(m0284b,x)
+--R 
+--R
+--R   (444)
+--R                                                                     +--------+
+--R                                                                     |   2
+--R                  4 10      3   8       2 2 6         3 4       4 2  |a x  + b
+--R             (- 8a x   - 88a b x  - 272a b x  - 320a b x  - 128b x ) |--------
+--R                                                                     |    2
+--R                                                                    \|   x
+--R          *
+--R              +-+
+--R             \|b
+--R         + 
+--R              5 11      4   9       3 2 7       2 3 5         4 3       5
+--R           - a x   - 33a b x  - 192a b x  - 416a b x  - 384a b x  - 128b x
+--R      *
+--R          +--------+
+--R          |   2
+--R         \|a x  + b
+--R     + 
+--R          5 11      4   9       3 2 7       2 3 5         4 3       5   +-+
+--R       (8a x   + 96a b x  + 360a b x  + 592a b x  + 448a b x  + 128b x)\|b
+--R     + 
+--R           5 12      4   10       3 2 8       2 3 6         4 4       5 2
+--R         (a x   + 33a b x   + 192a b x  + 416a b x  + 384a b x  + 128b x )
+--R      *
+--R          +--------+
+--R          |   2
+--R          |a x  + b
+--R          |--------
+--R          |    2
+--R         \|   x
+--R  /
+--R                                                         +--------+
+--R                                                         |   2      +--------+
+--R         4 8      3   6       2 2 4         3 2       4  |a x  + b  |   2
+--R       (a x  + 32a b x  + 160a b x  + 256a b x  + 128b ) |-------- \|a x  + b
+--R                                                         |    2
+--R                                                        \|   x
+--R     + 
+--R                                                            +--------+
+--R                                                            |   2
+--R            4 8      3   6       2 2 4         3 2       4  |a x  + b  +-+
+--R       (- 8a x  - 88a b x  - 272a b x  - 320a b x  - 128b ) |-------- \|b
+--R                                                            |    2
+--R                                                           \|   x
+--R                                                    Type: Expression(Integer)
+--E 475
+
+--S 476 of 554
+t0285:= x*(a+b/x^2)^(1/2)
+--R 
+--R
+--R            +--------+
+--R            |   2
+--R            |a x  + b
+--R   (445)  x |--------
+--R            |    2
+--R           \|   x
+--R                                                    Type: Expression(Integer)
+--E 476
+
+--S 477 of 554
+r0285:= 1/2*x^2*(a+b/x^2)^(1/2)+1/2*b*atanh((a+b/x^2)^(1/2)/a^(1/2))/a^(1/2)
+--R 
+--R
+--R                   +--------+
+--R                   |   2
+--R                   |a x  + b
+--R                   |--------            +--------+
+--R                   |    2               |   2
+--R                  \|   x          2 +-+ |a x  + b
+--R          b atanh(-----------) + x \|a  |--------
+--R                       +-+              |    2
+--R                      \|a              \|   x
+--R   (446)  ----------------------------------------
+--R                              +-+
+--R                            2\|a
+--R                                                    Type: Expression(Integer)
+--E 477
+
+--S 478 of 554
+a0285:= integrate(t0285,x)
+--R 
+--R
+--R   (447)
+--R   [
+--R                   +--------+
+--R               +-+ |   2             2     2
+--R           (2b\|b \|a x  + b  - a b x  - 2b )
+--R        *
+--R                                +--------+
+--R                 +-+ +-+        |   2            +-+         2      +-+
+--R               (\|a \|b  - a x)\|a x  + b  + a x\|b  + (- a x  - b)\|a
+--R           log(--------------------------------------------------------)
+--R                                       +--------+
+--R                                   +-+ |   2
+--R                                  \|b \|a x  + b  - b
+--R       + 
+--R                             +--------+
+--R               3         +-+ |   2             3         +-+ +-+
+--R         (- a x  - 2b x)\|a \|a x  + b  + (2a x  + 2b x)\|a \|b
+--R    /
+--R                 +--------+
+--R         +-+ +-+ |   2               2       +-+
+--R       4\|a \|b \|a x  + b  + (- 2a x  - 4b)\|a
+--R     ,
+--R
+--R                                                        +--------+
+--R                 +--------+                       +---+ |   2         +---+ +-+
+--R             +-+ |   2              2     2      \|- a \|a x  + b  - \|- a \|b
+--R         (4b\|b \|a x  + b  - 2a b x  - 4b )atan(------------------------------)
+--R                                                            