1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    User Avatar
    Science Advisor
    Homework Helper

    Yes, that seems to be the case.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted