TeX Quellcode:

\begin{array}{rclll} \dfrac{du}{dx} &=& 3 \cr dx &=& \dfrac{du}{3} \cr\cr\cr \displaystyle\int \limits_0^{\frac{\pi}{2}} \cos\left(3x-\dfrac{{\pi}}{8}\right) \, dx &=& \displaystyle\int \limits_0^{\frac{\pi}{2}} \cos(u)\,\dfrac{du}{3} \cr\cr &=& \dfrac{1}{3}\displaystyle\int\limits_0^{\frac{\pi}{2}} \cos(u) \,du \cr &=& \left[\dfrac{1}{3}\sin(u)\right]_0^\frac{\pi}{2} \end{array}