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## Homework Statement

http://gyazo.com/93ec8b11261e3a00da976a0e28855960

## Homework Equations

According to

http://en.wikipedia.org/wiki/Gaussian_function

## The Attempt at a Solution

I have got as far as the integral at:

[tex]e^{-\frac{w^{2}}{4} } \int e^{-(t+ \frac{jw}{2})^{2}}dt[/tex]

Apparently this makes the correct answer but I don't see how the integral evaluates to sqrt(pi)

Can somebody please explain

Thanks

Thomas

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