- #1

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## Homework Statement

[tex] \int_{0}^{\infty}x^3.e^{-x^2} \mathrm{d}x [/tex]

## The Attempt at a Solution

I have tried substitution u=x^2, u=x^3; integration by parts; squeeze theorem; partial fraction decomp; taylor series expansion- but nothing seems to work. I know the limit of [tex]x^3.e^{-x^2}[/tex] as x tends to infinity is zero, but that doesn't help.

Any help please?