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: Complex Integrals - Poles of Integration Outside the Curve

  1. Mar 16, 2012 #1
    1. The problem statement, all variables and given/known data

    [itex]\int_{|z-2i|=2}[/itex] = [itex]\frac{dz}{z^2-9}[/itex]

    2. The attempt at a solution

    I know that the contour described by |z-2i|=2 is a circle with a center of (0,2) (on the complex plane) with a radius of 2. The singularities of the integral fall outside of the contour (z+3 and z-3). In this case, is the solution just going to be zero or undefined?
  2. jcsd
  3. Mar 16, 2012 #2
    Your integrand is analytic in a region that contains your contour, what do you know about a closed contour integral of an analytic function?
  4. Mar 16, 2012 #3
    The integral is 0. Makes sense. Thanks.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook