<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%% 
%%  Ein Beispiel der DANTE-Edition
%%  Mathematiksatz mit LaTeX
%%  3. Auflage
%%  Beispiel 06-03-16 auf Seite 102.
%%  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.
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\documentclass[10pt]{screxa}
\pagestyle{empty}
\setlength\textwidth{352.81416pt}
\AtBeginDocument{\setlength\parindent{0pt}}
\setcounter{equation}{40}
\renewcommand\theequation{6.\arabic{equation}}
%StartShownPreambleCommands
\newcommand*\diff{\mathop{}\!\mathrm{d}}
%StopShownPreambleCommands
\begin{document}
\begin{equation}
\begin{array}{rl}
A_1
 &amp;=\left|\int_0^1(f(x)-g(x))\diff x\right|+\left|\int_1^2(g(x)-h(x))\diff x\right|\\
 &amp;=\left|\int_0^1(x^2-3x)\diff x\right|+\left|\int_1^2(x^2-5x+6)\diff x\right|\\
 &amp;=\left|\frac{x^3}{3}-\frac{3}{2}x^2\right|_0^1+\left|\frac{x^3}{3}
     -\frac{5}{2}x^2+6x\right|_1^2\\
 &amp;=\left|\frac13-\frac32\right|+\left|\frac83-\frac{20}{2}+12-\left(\frac13
     -\frac{5}{2}+6\right)\right|\\
 &amp;=\left|-\frac76\right|+\left|\frac{28}{6}-\frac{23}{6}\right|=\frac76
     +\frac{5}{6}=2\,\textrm{FE}
\end{array}
\end{equation}
\end{document}
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