TeX Quellcode:

\begin{array}{rcl} \displaystyle\int (8x^3-9x^2)\sin(5x) dx &=& -\dfrac{1}{5}\cos(5x)\left(8x^3-9x^2\right)- \displaystyle\int -\dfrac{1}{5}\cos(5x)\left(24x^2-18x\right)\, dx \cr\cr &=& -\dfrac{1}{5}\left(8x^3-9x^2\right)\cos(5x)+\dfrac{1}{5} \displaystyle\int \left(24x^2-18x\right)\cos(5x)\, dx \end{array}