TeX Quellcode:

\begin{array}{lclcrcl} \quad u' &=& e^x \quad \Rightarrow \quad u &=& e^x \cr \quad v &=& x \quad \Rightarrow \quad v' &=& 1 \cr \cr \displaystyle\int xe^x \, dx &=& xe^x-\displaystyle\int1e^x \, dx \cr &=& xe^x-e^x+c \cr &=& (x-1)e^x+c \end{array}