1. Not finding help here? Sign up for a free 30min 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!

A tough integral

  1. Mar 10, 2009 #1
    1. The problem statement, all variables and given/known data

    Hey guys.

    I have this problem:

    http://img12.imageshack.us/img12/6729/91881544.jpg [Broken]

    It's like a two parts problem.
    The first one was to prove the equation in red, I did that with a bit of trigo.
    The second part is to use the integral of the function in green to prove the thing in yellow. I'm stuck on the path that goes from - epsilon to epsilon, that semi circle, how can I find the value of this function on the path?

    Thanks.


    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 10, 2009 #2
    Compute the http://en.wikipedia.org/wiki/Residue_(complex_analysis)" [Broken] of f at zero, the use

    [tex]2\pi iRes(f,0)=\int_{|z|=\epsilon}f(z)dz[/tex]

    and try to find the integral over the half-circle in terms of the integral over the entire circle.
     
    Last edited by a moderator: May 4, 2017
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: A tough integral
  1. Tough integral (Replies: 1)

  2. Tough Integral (Replies: 4)

  3. Tough integral (Replies: 1)

  4. Tough integral (Replies: 2)

  5. Tough Integral (Replies: 3)

Loading...