late the followin integrals: a) ²² - i)² dx z³+4 b) § 22 +4 dz when the contour C is the circle |z - 2| = 5 Z-1 c) - dz when the contour C is the circle |z| = √3 COSZ 3 (z-i)³

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7- Evaluate the following integrals:
a) f(-i) ² dx
b) § 23+4 dz when the contour C is the circle |z2| = 5
Z-1
COSZ
c) - Zdz when the contour C is the circle |z| = √3
(z-i)
e-z
d) f
dz when the contour C is the circle
= 2
(z-4)(z+1)
z² + 1
e) $
dz
when the contour C is the circle |z| = 1
ez sin z
72
Transcribed Image Text:7- Evaluate the following integrals: a) f(-i) ² dx b) § 23+4 dz when the contour C is the circle |z2| = 5 Z-1 COSZ c) - Zdz when the contour C is the circle |z| = √3 (z-i) e-z d) f dz when the contour C is the circle = 2 (z-4)(z+1) z² + 1 e) $ dz when the contour C is the circle |z| = 1 ez sin z 72
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