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Calculating the principal value of an Integral

  1. Oct 2, 2011 #1
    1. The problem statement, all variables and given/known data

    [itex]P.v.\int e^{itx}/(x^{2}-k^{2})dx[/itex]

    Where, [itex]t,k\in Reals[/itex] and the range of integration is [itex]-\infty[/itex] to [itex]\infty[/itex].

    2. Relevant equations

    Not sure.


    3. The attempt at a solution

    I tried to find a solution to this problem by looking at the residues in each plane, but it seems that this is incorrect. Does one just take the real part/imaginary part of the integral? This is something I don't quite understand and I have no experience with. Could someone please give me some pointers/advice on these types of problems?
     
  2. jcsd
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