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Diffstat (limited to 'info/examples/Math/09-19-12.ltx')
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diff --git a/info/examples/Math/09-19-12.ltx b/info/examples/Math/09-19-12.ltx new file mode 100644 index 0000000000..984b4af112 --- /dev/null +++ b/info/examples/Math/09-19-12.ltx @@ -0,0 +1,37 @@ +%% +%% Ein Beispiel der DANTE-Edition +%% Mathematiksatz mit LaTeX +%% 3. Auflage +%% Beispiel 09-19-12 auf Seite 199. +%% Copyright (C) 2018 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[10pt]{screxa} +\pagestyle{empty} +\setlength\textwidth{352.81416pt} +\AtBeginDocument{\setlength\parindent{0pt}} +%StartShownPreambleCommands +\usepackage{mathtools} \newcommand*\diff{\mathop{}\!\mathrm{d}} +%StopShownPreambleCommands +\begin{document} +\begin{align*} +\MoveEqLeft[8]% Erste Zeile wird ohne Spaltentrenner gesetzt + \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} |