TeX Quellcode:

\begin{array}{rclcrcl} \mathbb{D} &=& \mathbb{R} \cr\cr \displaystyle\int \left(8x^3-9x^2\right)\sin(5x) dx \cr \quad u' &=&\sin(5x) &\Rightarrow & u &=& -\dfrac{1}{5}\cos(5x) \cr v &=& 8x^3-9x^2 & \Rightarrow & v' &=& 24x^2-18x \end{array}