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Using Cauchy's integral formula to evaluate integrals

  1. May 7, 2016 #1
    1. The problem statement, all variables and given/known data
    Use Cauchy’s integral formula to evaluate the integral along γ(t) of (z/(z+9)^2)dz
    where γ(t) = 2i + 4e^it , 0 ≤ t ≤ 2π.
    2. Relevant equations
    Cauchy's integral formula
    3. The attempt at a solution
    I was just wondering is the integral not just zero by Cauchy's theorem since (z/(z+9)^2) is holomorphic inside the circle defined by γ(t) ( the singularity at -9 is outside the circle ).
     
  2. jcsd
  3. May 7, 2016 #2

    Samy_A

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    Yes, that seems to be the case.
     
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