∫x^(4)e^(-x^(2)/2)dx in the limit [-∞,∞]

I tried to solve this problem many times but i just couldn't (Headbang). Can someone help me ?

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- August 27th 2012, 05:38 PMnirmal019Need help in Integral
∫x^(4)e^(-x^(2)/2)dx in the limit [-∞,∞]

I tried to solve this problem many times but i just couldn't (Headbang). Can someone help me ? - August 27th 2012, 06:43 PMharish21Re: Need help in Integral
- August 27th 2012, 08:50 PMnirmal019Re: Need help in Integral
Thank you so much I have solved the promblem :). Actually I never thought of the Gamma function and trying different methods :P

- August 27th 2012, 10:20 PMMaxJasperRe: Need help in Integral
Using Laplace transform:

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Taking inverse Laplace:

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