TeX Quellcode:

\begin{array}{rcl} \displaystyle\int \limits_2^5 \left( \dfrac{3}{8y^4} + \dfrac{12}{y^3} - \dfrac{7}{6y^2} \right)dy &=& \displaystyle\int \limits_2^5 \left( \dfrac{3}{8}y^{-4} +12y^{-3} - \dfrac{7}{6}y^{-2} \right)dy \cr\cr &=& \left[ \dfrac{3}{8 \cdot (-3)}y^{-3} + \dfrac{12}{-2}y^{-2}-\dfrac{7}{6 \cdot (-1)}y^{-1} \right]_2^5 \cr\cr &=& \left[ \dfrac{-1}{8y^3}-\dfrac{6}{y^2} + \dfrac{7}{6y} \right]_2^5 \cr &=& -\dfrac{1}{8\cdot5^3}-\dfrac{6}{5^2}+\dfrac{7}{6 \cdot 5} - \left( \dfrac{-1}{8 \cdot 2^3} - \dfrac{6}{2^2} + \dfrac{7}{6\cdot 2} \right) \cr & \approx & 0{,}92 \end{array}