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## Homework Statement

Looking through this proof in my DTI(diffusion tensor imaging) book and they don't show the work on how to compute this integral (and I'll need to know it for a presentation):

[tex]\int cos(\gamma G\delta x) * e^{-x^{2}/4D\Delta}dx[/tex]

I haven't really gotten anywhere yet. I've looked at the proof of the integral of the gaussian but I dont know where/how to manipulate it with the cosine there.

I know the answer should be:

[tex]e^{-\gamma^{2}G^{2}\delta^{2}D\Delta}[/tex]