b) Using the Residue Theorem (or otherwise) compute the follo- -wing integrals (all the curves are positively oriented; state all the theorems / propositions that are used in the solution) 2²1dz √ že z dz iii) ! (2-1)² = (2+1)² (i) S 121=12²2²-22 121=1 12-1-11 = 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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b) Using the Residue Theorem (or otherwise) compute the follo-
wing integrals (all the curves are positively oriented; state all
the theorems / propositions that are used in the solution)
=/= e = dz iii) ! (7-1)² (2+1)²
dz
dz (i) S / ez dz
121=1
12-1-11=2
Z²41
121=4 2²-22
Transcribed Image Text:b) Using the Residue Theorem (or otherwise) compute the follo- wing integrals (all the curves are positively oriented; state all the theorems / propositions that are used in the solution) =/= e = dz iii) ! (7-1)² (2+1)² dz dz (i) S / ez dz 121=1 12-1-11=2 Z²41 121=4 2²-22
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