TeX Quellcode:

\begin{array}{rcl} \displaystyle\int \left(48x-18\right)\sin(5x)\, dx &=& -\dfrac{1}{5}\cos(5x)\left(48x-18\right)- \displaystyle\int -\dfrac{1}{5}\cos(5x)\cdot 48\, dx \cr\cr &=& -\dfrac{1}{5}\left(48x-18\right)\cos(5x) + \dfrac{48}{5} \cdot\displaystyle\int \cos(5x)\, dx \cr\cr &=&-\dfrac{1}{5}\left(48x-18\right)\cos(5x)+ \dfrac{48}{5}\cdot \dfrac{1}{5}\sin(5x)+c \cr\cr &=& -\dfrac{1}{5}\left(48x-18\right)\cos(5x) + \dfrac{48}{25} \sin(5x)+c \end{array}