====== 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.