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author | Karl Berry <karl@freefriends.org> | 2012-02-06 00:47:46 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2012-02-06 00:47:46 +0000 |
commit | f2fb432b14a3c467c6ddfee4a19874fea886307d (patch) | |
tree | 4fbba0fc79f546e17e07adbb3db78860e4d39ed8 /Master/texmf-dist/doc/latex/einfuehrung/09-08-44.ltx | |
parent | 27d1d1646fa5dc2daba1e09c2d2175c211d93def (diff) |
new examples from (voss) german book einfuehrung (2feb12)
git-svn-id: svn://tug.org/texlive/trunk@25301 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/einfuehrung/09-08-44.ltx')
-rw-r--r-- | Master/texmf-dist/doc/latex/einfuehrung/09-08-44.ltx | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/einfuehrung/09-08-44.ltx b/Master/texmf-dist/doc/latex/einfuehrung/09-08-44.ltx new file mode 100644 index 00000000000..ac68192f908 --- /dev/null +++ b/Master/texmf-dist/doc/latex/einfuehrung/09-08-44.ltx @@ -0,0 +1,38 @@ +%% +%% Ein Beispiel der DANTE-Edition +%% +%% Beispiel 09-08-44 auf Seite 493. +%% +%% Copyright (C) 2012 Herbert Voss +%% +%% It may be distributed and/or modified under the conditions +%% of the LaTeX Project Public License, either version 1.3 +%% of this license or (at your option) any later version. +%% +%% See http://www.latex-project.org/lppl.txt for details. +%% +%% +%% ==== +% Show page(s) 1 +%% +\documentclass[]{exaarticle} +\pagestyle{empty} +\setlength\textwidth{352.81416pt} +\AtBeginDocument{\setlength\parindent{0pt}} + +\usepackage{mathtools} \newcommand*\diff{\mathop{}\!\mathrm{d}} + +\begin{document} +\begin{align*} +\MoveEqLeft[6] + \frac{A}{x-x_1},\ \frac{A}{\left(x-x_1\right)^k},\ \frac{Ax+b}{x^2+px+q},\ + \frac{Ax+b}{\left(x^2+px+q\right)^k} \text{ mit } p^2<4q \text{ und } A\ne 0\\ + \int\frac{A}{x-x_1}\diff x &= A\ln\left|x-x_1\right|+C\\ + \int\frac{A}{\left(x-x_1\right)^k}\diff x&=-\frac{A}{(k-1)\left(x-x_1\right)^{k-1}}+C\\ + \int\frac{\diff x}{x^2+px+q} + &= \frac{2}{\sqrt{4q-p^2}}\cdot\arctan\frac{2x+p}{\sqrt{4q-p^2}}+C\\ + \int\frac{Ax+B}{x^2+px+q}\diff x + &= \frac{A}{2}\ln\left|x^2+px+q\right| +\frac{2B-Ap}{\sqrt{4q-p^2}} + \cdot\arctan\frac{2x+p}{\sqrt{4q-p^2}}+C +\end{align*} +\end{document} |