Friday 8 December 2017

calculus - Integral: $int_{-infty}^{infty} x^2 e^{-x^2}mathrm dx$

I don't know how to evaluate it. I know there is one method using the gamma function. BUT I want to know the solution using a calculus method like polar coordinates.



$$\int_{-\infty}^\infty x^2 e^{-x^2}\mathrm dx$$



I will wait for a solution. Thank you.

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