Using the Residue Theorem, or otherwise, compute 2-7 +z-2 dz, where C is the positively oriented circle of radius 4 centered at z = 0. State all the theorems that you are using and justify all of your steps.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 67E
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Using the Residue Theorem, or otherwise, compute
Sz²4772 dz,
z²+z-2
where C is the positively oriented circle of radius 4 centered at z = 0. State all the
theorems that you are using and justify all of your steps.
Transcribed Image Text:Using the Residue Theorem, or otherwise, compute Sz²4772 dz, z²+z-2 where C is the positively oriented circle of radius 4 centered at z = 0. State all the theorems that you are using and justify all of your steps.
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