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Complex Analysis Contour Circle Question

  1. Jul 30, 2015 #1

    RJLiberator

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    1. The problem statement, all variables and given/known data
    I have uploaded necessary image(s) for the question Screen Shot 2015-07-30 at 4.44.46 PM.png Screen Shot 2015-07-30 at 4.44.58 PM.png


    I have successfully accomplished a, but I am not sure how to start b.

    2. Relevant equations

    The sum of the integral paths added up = the desired result.
    3. The attempt at a solution

    So we start with path CR
    And then go along the line R--> p
    and then the circle Cp
    And back along the line p-->R

    How do I represent this? It will take 4 integrals added together, correct?

    The integral over CR is |z|=R ?
    Over line 1: z=re^(i2pi), p=<r=<R

    Not sure how to set up these bounds. After I get the bounds, I should know how to solve it, I think.
     
  2. jcsd
  3. Jul 30, 2015 #2

    RJLiberator

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    Also, If there any examples of similar problems that use the entire circle as the contour (and not the half circle) that would be helpful to me.
     
  4. Jul 31, 2015 #3

    RJLiberator

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    Not trying to be pushy, but I have to turn this assignment in in a few hours. Was wondering if anyone was around for some quick help. :)
     
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