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Diffstat (limited to 'src/input/intg0.input.pamphlet')
| -rw-r--r-- | src/input/intg0.input.pamphlet | 55 |
1 files changed, 55 insertions, 0 deletions
diff --git a/src/input/intg0.input.pamphlet b/src/input/intg0.input.pamphlet new file mode 100644 index 00000000..e605df23 --- /dev/null +++ b/src/input/intg0.input.pamphlet @@ -0,0 +1,55 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input intg0.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited 1994. +@ +<<*>>= +<<license>> + +)cl all +-- some genus 0 integrations +y := sqrt(a * x + b) +integrate(%,x) +x * y +integrate(%,x) +z := sqrt(a**2 - x**2) +1 / z +integrate(%,x) +x**2 * z +integrate(%,x) +x**3 / (a+b*x)**(1/3) +integrate(%,x) +1 / (x**3 * (a+b*x)**(1/3)) +integrate(%,x) +-- examples of transcendentals over a curve of genus 0 +x / (y + y**2) + log(y + 1) +integrate(%,x) +(2 + 1/sqrt(x)) * cos(x + sqrt x) +integrate(%,x) +-- one which does not have an elementary integral +log(1 + y) / x +integrate(%,x) +-- integrals of hyperbolic trigs are returned in terms of hyperb. trigs. +(sinh(1+sqrt(x+b))+2*sqrt(x+b))/(sqrt(x+b)*(x+cosh(1+sqrt(x+b)))) +integrate(%,x) +-- examples of genus 0 functions presented as transcendentals +tan(atan(x)/2) +integrate(%,x) +tan(atan(x)/3) +integrate(%,x) +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |