diff options
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 | 41 |
1 files changed, 0 insertions, 41 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 deleted file mode 100644 index 3c9435b3be6..00000000000 --- a/Master/texmf-dist/doc/latex/einfuehrung/09-08-44.ltx +++ /dev/null @@ -1,41 +0,0 @@ -%% -%% Ein Beispiel der DANTE-Edition -%% -%% 1. Auflage -%% -%% Beispiel 09-08-44 auf Seite 493. -%% -%% 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} -\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} |