Note on HW7, Math 527

Please feel free to look up any tricky integrals in a table. For example, you can use these identities

$\begin{eqnarray*} \int x e^{ax} dx &= e^{ax}(ax-1)/a^2 + c \end{eqnarray*}$

$\begin{eqnarray*} \int x^2 e^{ax} dx &= e^{ax}(a^2 x^2 -2ax + 2)/a^3 + c \end{eqnarray*}$

instead of doing the integrals yourself using integration by parts.