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December 3rd, 2016, 12:52 PM  #1 
Newbie Joined: Dec 2016 From: London Posts: 4 Thanks: 0  Integration Question
Hi guys, I'm stuck on these questions; if anyone could help me, it would be great. Thanks.
Last edited by skipjack; December 3rd, 2016 at 02:18 PM. 
December 3rd, 2016, 01:10 PM  #2 
Senior Member Joined: Sep 2007 From: USA Posts: 349 Thanks: 67 Math Focus: Calculus 
It's difficult to help you unless you tell us where you are getting stuck. Simply giving you the answers won't be of much help in understanding the content.

December 3rd, 2016, 01:26 PM  #3 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,412 Thanks: 716 
suppose $f(z)$ had an antiderivative $F(z)$ What is $\displaystyle{\int_{\mathscr{L}}}~f(z)~dz$ for some path $\mathscr{L}$ with endpoints $1$ and $2+i$ ? do the two path integrals you are asked to do agree in value? What does this suggest about the ability of $F(z)$ to exist? 

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