5. Calculate the following integral 1 - 1) ( 2³ – 1) ª jdz for each of the following contours C. In each case, clearly indicate which theorem(s) you are using and why this is justified. (b) C is the square contour with edges -i, i, 2+i, and 2-i, traversed in the anticlockwise direction.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Calculate the following integral
1
√e (z − 1) (2² - 1)²
for each of the following contours C. In each case, clearly indicate which theorem(s)
you are using and why this is justified.
(b) C is the square contour with edges −i, i, 2 + i, and 2 — i, traversed in the
anticlockwise direction.
-dz
Transcribed Image Text:5. Calculate the following integral 1 √e (z − 1) (2² - 1)² for each of the following contours C. In each case, clearly indicate which theorem(s) you are using and why this is justified. (b) C is the square contour with edges −i, i, 2 + i, and 2 — i, traversed in the anticlockwise direction. -dz
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