- #1

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## Homework Statement

[tex]\int_{0}^{∞} x^{2n+1}.e^{-x^2}dx[/tex]

is equal to (n ε N)

a)n!

b)2(n!)

c)n!/2

d)(n+1)!/2

## Homework Equations

## The Attempt at a Solution

I can go on solving this by using n=1 or n=2. But i want to do it by a correct method. Is there a proper way to do it? I am having no idea, how should i begin?