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Residue theorem to solve integration

  1. May 1, 2012 #1
    Hi all, i have an integral equation of

    ∫1/[(z+ia)^2 *(z-ia)]*exp(-p^2[(A+iBz)/(C(z^2+a^2))])*exp(-ikbz)dz

    from the limit of 0 t0 l

    I tried perform residue theorem but due to the 1/[(z+ia)(z-ia)] factor in the exponential term complicated it...I also tried incorporate L'Hopita rules in the exp term. I did manage to solve it but did not seems to be right because when i plotted in with Matlab, the plot is not correct. Perhaps my approach is wrong.

    Need advise to solve this again.
    Thank you
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. May 1, 2012 #2

    HallsofIvy

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    What contour were you using?
     
  4. May 1, 2012 #3
    Contour? Does this referred to residues at z=ia and z=-ia?
     
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