Complex Analysis: Use of Cauchy

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nateHI
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http://www.math.hawaii.edu/~williamdemeo/Analysis-href.pdf

Please look at problem 2 on page 39 of the problems/solutions linked above.

I know I'm going to kick myself when someone explains this to me but how was equation "(31)" of the solution obtained? The first term of the RHS of (31) is clear but I'm not sure where the 2nd term came from.
 
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nateHI said:
http://www.math.hawaii.edu/~williamdemeo/Analysis-href.pdf

Please look at problem 2 on page 39 of the problems/solutions linked above.

I know I'm going to kick myself when someone explains this to me but how was equation "(31)" of the solution obtained? The first term of the RHS of (31) is clear but I'm not sure where the 2nd term came from.

Nevermind I figured it out.