How to solve the definite integration as showed in the title. And $m$ is an arbitrary natural number, $a$ is a non-negative number. Many thanks in advance.
2026-04-29 11:20:31.1777461631
Integration of $\int_{-2}^{\infty} k^m e^{-a k^2} dk$
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To begin, try finding an arbitrary antiderivative by working out a few examples ($m=1,2,3,\dots$) using integration by parts and then prove your claim with induction.