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