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====== 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\\ \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.