By using Cauchy Integral's Formula, evaluate the following integrals: = −2)² dz, where C' is the circle of radius 2 centered at the origin, z+i i) ii) 111) ·5z² +2 5z² + 2z+1 (z-i)³ z²-z+1 z-1 -dz, where C' is the circle of radius 2 centered at the origin, dz, where C is the circle of radius centered at the origin.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.3: Area And The Definite Integral
Problem 19E
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Please help me solve this Complex Analysis problems.

1. By using Cauchy Integral's Formula, evaluate the following integrals:
√ (²-2)³²
=-2)² dz, where C' is the circle of radius 2 centered at the origin,
z+i
i)
ii)
iii)
5z²+2z+1
(z-i)³
z² - z+1
z-1
-dz, where C is the circle of radius 2 centered at the origin,
dz, where C is the circle of radius
IN
centered at the origin.
Transcribed Image Text:1. By using Cauchy Integral's Formula, evaluate the following integrals: √ (²-2)³² =-2)² dz, where C' is the circle of radius 2 centered at the origin, z+i i) ii) iii) 5z²+2z+1 (z-i)³ z² - z+1 z-1 -dz, where C is the circle of radius 2 centered at the origin, dz, where C is the circle of radius IN centered at the origin.
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