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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]

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# Integral of Gaussian + some

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