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New user has been reminded to use the Homework Help Template when starting schoolwork threads at the PF

Hi All! I've been looking at this Fourier Transform integral and I've realised that I'm not sure how to integrate the exponential term to infinity. I would expect the result to be infinity but that wouldn't give me a very useful function. So I've taken it to be zero but I have no idea if you can do this...

Thanks!!!

Thanks!!!