TeX Quellcode:

\begin{array}{rcl} \displaystyle\int \limits_{-1}^2 \left(g(x)-f(x)\right) \, dx &=& \displaystyle\int \limits_{-1}^2 \left(-x^2+2x+4-x^2\right) \, dx \cr &=& \displaystyle\int\limits_{-1}^2 \left(-2x^2+2x+4\right) \, dx \cr &=& \left[ -\dfrac{2}{3}x^3+x^2+4x\right]_{-1}^2 \cr &=& -\dfrac{2}{3}\cdot8+4+8-\left(\dfrac{2}{3}+1-4\right) \cr &=& 9\end{array}