TeX Quellcode:

\begin{array}{rcl} \displaystyle\int \limits_0^2 \dfrac{1}{2}(x^2-e^x) \, dx &=& \dfrac{1}{2} \displaystyle\int \limits_0^2 \left(x^2 - e^x \right)dx \cr &=& \dfrac{1}{2}\left[ \dfrac{1}{3}x^3 - e^x \right]_0^2 \cr &=& \dfrac{1}{2} \left( \dfrac{1}{3}\cdot 2^3 - e^2 - \left( \dfrac{1}{3}\cdot 0^3 -e^0 \right) \right) \cr &=& \dfrac{1}{2} \left( \dfrac{8}{3} - e^2 +1 \right) \cr &\approx& -1{,}86 \end{array}