TeX Quellcode:

\begin{array}{rcl} A_1 &=& \displaystyle\int\limits_{-2}^0 \left(\dfrac{2}{5}x^2+\dfrac{4}{5}x\right)\,dx \cr\cr &=& \left[\dfrac{2}{5\cdot 3}x^3+\dfrac{4}{5\cdot 2}x^2\right]_{-2}^0 \cr\cr &=& \dfrac{2}{15}\cdot 0+\dfrac{2}{5}\cdot 0-\left(\dfrac{2}{15}\cdot\left(-2\right)^3+\dfrac{2}{5}\cdot\left(-2\right)^2\right) \cr\cr &=& -\dfrac{8}{15} \end{array}