TeX Quellcode:

\begin{array}{rclcrcl} \displaystyle\int \limits_1^{11} \dfrac{3x^2}{2}\ln(x) \, dx &=& \dfrac{3}{2} \displaystyle\int \limits_1^{11} x^2 \cdot \ln(x) \, dx \cr\cr \quad u' &=& x^2 &\Rightarrow & u &=& \dfrac{x^3}{3} \cr v &=& \ln(x) & \Rightarrow & v' &=& \dfrac{1}{x} \end{array}