Auch hier wird der Quelltext der LaTeX Ausgabe vorangestellt.
\[ \frac{\frac{a}{x-y} + \frac{b}{x+y}}{1+ \frac{a-b}{a+b}} \]
\[ \sqrt[n]{\frac{x^n - y^n}{1 + u^{2n}}} \]
\[ 2\sum_{i=1}^n a_i \int \limits_{a}^{b} f_i(x)g_i(x)\,dx \]
\[ \left[ \int x^2\,dx + \int x^3\,dx \right]_{x=0}^{x=5} \]
\[ y = \left\{ \begin{array}{r@{\quad:\quad}l}
-1 & x<0 \\ 0 & x=0 \\ +1 & x>0 \end{array} \right. \]
\[ \begin{array}{*{3}{c@{\:+\:}}c@{\;=\;}c}
a_{11}x_1 & a_{12}x_2 & \cdots & a_{1n}x_n & b_1 \\
a_{21}x_1 & a_{22}x_2 & \cdots & a_{2n}x_n & b_2 \\
\multicolumn{5}{c}{\dotfill} \\
a_{n1}x_1 & a_{n2}x_2 & \cdots & a_{nn}x_n & b_n \\
\end{array} \]
\[ det\ H f =\left| \begin{array}{ccc}
f_{xx} & f_{xy} & f_{xz} \\
f_{yx} & f_{yy} & f_{yz} \\
f_{zx} & f_{zy} & f_{zz} \\
\end{array} \right| \]
\begin{eqnarray}
(x+y)(x-y) & = & x^2-xy+xy-y^2 \nonumber\\
& = & x^2-y^2 \nonumber
\end{eqnarray}