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+%%
+%% Ein Beispiel der DANTE-Edition
+%%
+%% 1. Auflage
+%%
+%% Beispiel 09-08-38 auf Seite 489.
+%%
+%% Copyright (C) 2011 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}}
+\StartShownPreambleCommands
+\usepackage{mathtools} \newcommand*\diff{\mathop{}\!\mathrm{d}}
+\StopShownPreambleCommands
+\begin{document}
+\[ s = \begin{dcases}
+ \int\limits_a^b\sqrt{1+y\prime^2}\diff x & y=f(x)\\
+ \int\limits_{t_1}^{t_2}\sqrt{\dot{x}^2+\dot{y}^2}\diff t & x=f(t); y=f(t) \\
+ \int\limits_{\varphi_1}^{\varphi_2}
+ \sqrt{\left(\frac{\diff r}{\diff\varphi}\right)^2+r^2}\,\diff\varphi
+ & r=f(\varphi)
+ \end{dcases} \]
+\end{document}