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[tex]\int^{\infty}_{-\infty}[/tex] [tex]e^{\frac{-x^{2}}{\sigma^{2}}}[/tex] [tex]e^{-ikx}dx[/tex]

That's the integral of the product of the exponentials , couldn't get latex to make it look right.

Supposedly usefull information(I can't see how);

[tex]\int^{\infty}_{-\infty}[/tex] [tex]e^{\frac{-x^{2}}{\sigma^{2}}}[/tex]dx =[tex]\sigma\sqrt{\pi}[/tex]

Not looking for answers, just suggestions of methods. I have been trying to expand the complex exponential via the Euler theorem and then use integration by parts to solve, but can't get anywhere.

If anyone knows of an integration method I can look up to deal with this your help would be appreciated.

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# Homework Help: Exponential Integral

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