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Fourier Transform integral

  1. Oct 13, 2018 #1
    • 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!!! 20181013_192441.jpg
  2. jcsd
  3. Oct 13, 2018 #2
    With your current limits (with ##-\infty##) what you have done is wrong. The exponential will blow up at negative times. The integral will not converege.
  4. Oct 14, 2018 #3
    Thanks, I realise my mistake now. The limits should be zero to infinity as negative time is not possible
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