Compute the integrals using a suitable method. Be sure to quote the appropriate theorems you are applying. (a) ( Log(2) -dz, z+2 where y is the circle {|z – 2| = 1} with counter clockwise orientation. (b) cos(2) dz, 2² + 2iz – 1 where y is the circle {|z+ i| = 1} with counter clockwise orientation.
Compute the integrals using a suitable method. Be sure to quote the appropriate theorems you are applying. (a) ( Log(2) -dz, z+2 where y is the circle {|z – 2| = 1} with counter clockwise orientation. (b) cos(2) dz, 2² + 2iz – 1 where y is the circle {|z+ i| = 1} with counter clockwise orientation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Compute the integrals using a suitable method. Be sure to quote the appropriate theorems you are applying.
(a)
( Log(2)
-dz,
z+2
where y is the circle {|z – 2| = 1} with counter clockwise orientation.
(b)
cos(2)
dz,
2² + 2iz – 1
where y is the circle {|z+ i| = 1} with counter clockwise orientation.
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