TeX Quellcode:

\begin{array}{rcl} A_2 &=& \displaystyle\int\limits_{0}^1 \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]_0^1 \cr\cr &=& \dfrac{2}{15}\cdot 1+\dfrac{2}{5}\cdot 1-0 \cr\cr &=& \dfrac{8}{15} \end{array}