02-23-2005, 07:49 AM
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#1 (permalink) |
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Trying to make mom and pop proud
Join Date: Feb 2005
Posts: 5
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Line integral in complex plane
In the complex plane, let C be the circle |z| = 2 with positive (counterclockwise) orientation. Then
a. 0 b. 2(pi)(i) c. (pi)(i)/2 d. (pi)(i)/8 e. (pi)(i)/16 Answer: D I don't know how to solve it, really no idea  . May you help me???? |
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02-23-2005, 12:22 PM
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#2 (permalink) |
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Trying to make mom and pop proud
Join Date: Sep 2004
Posts: 3
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Re: Line integral in complex plane
Inside the disk |z|=2 , the function has only one pole: z=1. So, with the residue theorem, the integral is 2(pi)(i)Res[f(1)]. Res[f(1)]= 1/16, so the integral is (pi)(i)/8 .
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