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Fourier Transform Tricky Integral Watch

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    Hi I am trying to analytically calculate the Fourier transform attached.

    I am getting really stuck with the integral, can anyone help?

    I've attached how far I've got with it, any help much appreciated!

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    you're nearly there. Combine the exponentials as best you can and then try to get the exponents into the form -a(t+x)^2+b, where b is independent of t
 
 
 
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