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Homework Help: Method of residues

  1. May 15, 2012 #1
    1. The problem statement, all variables and given/known data

    [itex]\int^{0}_{2\pi}[/itex] [itex]\frac{d\theta}{13+5sin\theta}[/itex]

    2. Relevant equations

    3. The attempt at a solution

    so i changed it using [itex]sin \theta = \frac{1}{2i} (z - \frac{1}{z})[/itex]

    and i get[itex]\oint \frac{2}{5z^2+26zi-5}[/itex] which i factored down to [itex] (z = \frac{-26±\sqrt{776}}{10})[/itex]

    but no matter how i proceed from here i cant get the answer, any ideas anyone?
  2. jcsd
  3. May 15, 2012 #2


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    How did you get real roots to a polynomial with complex coefficients?
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