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Contour Integrals (I think?)

  1. Mar 4, 2014 #1
    A question about an integral encountered in a paper I am reading about Green's Functions of the acoustic wave equation ...

    The integral encountered:

    Im{Integrate[ exp((i*y-a)*k), dk, 0, Infinity]} = Re{1/(y+ i*a)}

    where i = sqrt(-1) and a,y,k elements of R. Been a while since I've calculated residues and what not, not sure if that is even the right procedure. Any help with how to calculate the integral?
     
  2. jcsd
  3. Mar 4, 2014 #2
    laplace transform

    The solution involves Laplace transforms. Closed.
     
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