TeX Quellcode:
\begin{array}{rcl} 2\displaystyle\int \limits_0^1 \left(g(x)-f(x)\right) \, dx &=& 2\displaystyle\int \limits_0^1 \left(-x^3+x+2-\left(x^3-x+2\right)\right) \, dx \cr &=& 2\displaystyle\int\limits_0^1 \left(-2x^3+2x\right) \, dx \cr &=& 2\left[ -\dfrac{2}{4}x^4+x^2\right]_0^1 \cr &=& 2\left(-\dfrac{1}{2}+1-0\right) \cr &=& 1 \end{array}