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Use Cauchy Residue Theorem to find the integral

  1. Sep 4, 2012 #1
    1. The problem statement, all variables and given/known data

    To find the integral by Cauchy Residue Theorem and apply substitution method.

    2. Relevant equations

    To show: ∫[itex]^{2∏}_{0}[/itex][itex]\frac{cosθ}{13+12cosθ}[/itex]=-[itex]\frac{4∏}{15}[/itex]

    3. The attempt at a solution
    The solution I have done is attached. It is different as what the question wants me to show. I do not know where I did it wrong.
     

    Attached Files:

  2. jcsd
  3. Sep 4, 2012 #2
    Otherwise it looks fine to me, except that
    [tex] 6z^3+13z^2+6z = 6 z(z+2/3)(z+3/2) \neq z(z+2/3)(z+3/2) [/tex]
     
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