Complex Analysis: Use of Cauchy

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SUMMARY

The discussion centers on the derivation of equation "(31)" from the solution to problem 2 on page 39 of the document linked. The initial term on the right-hand side (RHS) of equation "(31)" is understood, but the second term raised questions among participants. Ultimately, the original poster resolved their confusion independently, indicating a common learning experience in complex analysis.

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  • Access to the document "Analysis" by William Demeo for context.
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  • Review Cauchy's integral theorem and its applications in complex analysis.
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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.
 

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