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June 12th, 2019, 02:53 AM  #1 
Newbie Joined: Jun 2019 From: Moscow Posts: 14 Thanks: 0  Another task, Complex Analysis
Guys, I need your help with another task that I could not solve. 
June 12th, 2019, 05:10 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 21,131 Thanks: 2340 
What have you considered so far?

June 12th, 2019, 07:02 AM  #3 
Newbie Joined: Jun 2019 From: Moscow Posts: 14 Thanks: 0 
I looked at the lectures and a couple of examples didn't really help. I know that I need to start with the search for specific points. 
June 12th, 2019, 07:10 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 21,131 Thanks: 2340 
Which example had most in common with this problem and how was the integral in the example evaluated?

June 12th, 2019, 07:20 AM  #5 
Newbie Joined: Jun 2019 From: Moscow Posts: 14 Thanks: 0  I have such examples.
contour integral in my language, residue (complex analysis) ex: Last edited by Lasqa; June 12th, 2019 at 07:24 AM. 
June 13th, 2019, 05:09 AM  #6 
Newbie Joined: Jun 2019 From: Moscow Posts: 14 Thanks: 0 
Now this example is interesting. Draw a contour with a center on the xaxis at the point z = 1 and a radius r = 1/2 and singular points: z = 0, z = +  2i, which are outside the contour. There are no special points inside the contour, so the answer is the simplest = 0.
Last edited by skipjack; June 13th, 2019 at 05:11 AM. 

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