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Homework Help: Cauchy integral

  1. Jun 17, 2014 #1
    1. The problem statement, all variables and given/known data

    ∫[itex]\frac{tan(\frac{z}{2})}{(z+\frac{\pi}{2})(z-\frac{\pi}{2})^{2}}[/itex] dz

    integration along C: abs(z) = 4

    (along the circle of radius is 4)

    2. Relevant equations

    Cauchy Integral Formula

    3. The attempt at a solution

    I tried to set g(z) that is analytic inside C but I cannt set it.

    Do I have to use Laurent seires or residue or something?
  2. jcsd
  3. Jun 17, 2014 #2


    User Avatar
    Gold Member

    Yes, nothing comes to mind quickly for you to use the Cauchy Integral formula. It should be fine using residues though.
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