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I'm working through an undergraduate course in complex analysis and am currently on a chapter entitled Cauchys integral theorem, where i encountered this question as an exercise. It doesn't seem like it should be all that difficult to answer, but I don't see how to approach answering this. Any help would be appreciated! I am struggling quite a bit with this course!

(ps the book is the third edition of "Fundamentals of Complex Analysis Engineering, Science and Mathematics" by Saff and Snider. Exercise 11, chapter 4.4)

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  • $\begingroup$ This question is similar to: Residues and existence of complex antiderivative. If you believe it’s different, please edit the question, make it clear how it’s different and/or how the answers on that question are not helpful for your problem. $\endgroup$ Commented Nov 3 at 16:58

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