Complex Analysis Contour Circle Question

[RJLiberator]

Homework Statement

I have uploaded necessary image(s) for the question

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

Homework Equations

The sum of the integral paths added up = the desired result.

The Attempt at a Solution

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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.

 

[RJLiberator]

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.

 

[RJLiberator]

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. :)