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June 18th, 2014, 03:49 AM   #1
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Gaussian Integral

Can someone please help me solve this integral.

r^2 e^(-2a(r^2)) lower limit 0 and upper limit infinity.
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June 18th, 2014, 12:30 PM   #2
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Originally Posted by raghavv View Post
Can someone please help me solve this integral.

r^2 e^(-2a(r^2)) lower limit 0 and upper limit infinity.
The standard Gaussian has a second moment of 1. See what changes you need to make to convert the integrand to:
$\displaystyle \frac{x^2e^\frac{-x^2}{2}}{√(2\pi)}$ and the domain of integration the whole line.

Note that the integrand is an even function.
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