%% %% Ein Beispiel der DANTE-Edition %% Mathematiksatz mit LaTeX %% 2. Auflage %% %% Beispiel 06-03-14 auf Seite 102. %% %% 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}} \setcounter{equation}{39} \renewcommand\theequation{6.\arabic{equation}} \StartShownPreambleCommands \usepackage{amsmath} \newcommand*\diff{\mathop{}\!\mathrm{d}} \StopShownPreambleCommands \begin{document} \begin{align} \begin{split} A_1 &=\left|\int_0^1(f(x)-g(x))\diff x\right|+\left|\int_1^2(g(x)-h(x))\diff x\right|\\ &=\left|\int_0^1(x^2-3x)\diff x\right|+\left|\int_1^2(x^2-5x+6)\diff x\right|\\ &=\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\\ &=\left|\frac13-\frac32\right|+\left|\frac83-\frac{20}{2}+12-\left(\frac13 -\frac{5}{2}+6\right)\right|\\ &=\left|-\frac76\right|+\left|\frac{28}{6}-\frac{23}{6}\right|=\frac76 +\frac{5}{6}=2\,\text{FE} \end{split} \end{align} \end{document}