²²-i)² dx 2³+dz when the contour C is the circle |z − 21 = 5 +4 1 Z- COSZ Cosz, dz when the contour C is the circle |z| = √3 (z-i)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7- Evaluate the following integrals:
a) f(-i)² dx
z³+4
b) $2+1 dz when the contour C is the circle |z − 21 = 5
-
Z-1
COSZ
= √3
c) cosz, dz when the contour C is the circle |z|
§.
(z-i)
e-z
d) -
dz when the contour C is the circle |z-|-
(z-4)(z+1)
z² + 1
e) $
dz when the contour C is the circle |z| = 1
ez sin z
Transcribed Image Text:7- Evaluate the following integrals: a) f(-i)² dx z³+4 b) $2+1 dz when the contour C is the circle |z − 21 = 5 - Z-1 COSZ = √3 c) cosz, dz when the contour C is the circle |z| §. (z-i) e-z d) - dz when the contour C is the circle |z-|- (z-4)(z+1) z² + 1 e) $ dz when the contour C is the circle |z| = 1 ez sin z
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