From 67e45aa36c4d8710570ed0784534054fa1030dcb Mon Sep 17 00:00:00 2001 From: Pavel Sanda Date: Sat, 11 Jun 2016 11:23:39 -0700 Subject: [PATCH] * Math.lyx : add few maxima examples to ch. 23.1. --- lib/doc/Math.lyx | 40 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 40 insertions(+) diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx index 9745000b8c..7e5b841f2c 100644 --- a/lib/doc/Math.lyx +++ b/lib/doc/Math.lyx @@ -34196,6 +34196,28 @@ Maxima \end_inset +\end_layout + +\begin_layout Itemize +\begin_inset Formula $\int\left(\frac{1}{1+x^{3}}\right)dx=-\frac{\log\left(x^{2}-x+1\right)}{6}+\frac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{\sqrt{3}}+\frac{\log\left(x+1\right)}{3}$ +\end_inset + + +\begin_inset Foot +status open + +\begin_layout Plain Layout +Note that one needs to use proper delimiter insets +\begin_inset Formula $\left(\right)$ +\end_inset + + instead of simple '(' ')' characters. + +\end_layout + +\end_inset + + \end_layout \begin_layout Itemize @@ -34214,6 +34236,24 @@ Maxima \end_inset +\end_layout + +\begin_layout Standard +One can also use standard commands known to CAS: +\end_layout + +\begin_layout Itemize +\begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\it i_{1}}=0}^{\infty}{\frac{4^{-{\it i_{1}}-1}\,\left(x-1\right)^{{\it i_{1}}+1}}{{\it i_{1}}+1}}-\log\left(-1\right)$ +\end_inset + + +\end_layout + +\begin_layout Itemize +\begin_inset Formula $solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$ +\end_inset + + \end_layout \begin_layout Subsection -- 2.39.2