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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) (i) S ½ e ² dz _iii) (7-1) ²² (2+1)² dz 2²241 121=12²2²-22 dz 121=1 12-1-11=2

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) (i) S ½ e ² dz _iii) (7-1) ²² (2+1)² dz 2²241 121=12²2²-22 dz 121=1 12-1-11=2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Compute ii

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) i) == ·dz ) S ez dz iii) √ (Z-1) ² (2+1) ² 121=1 12-1-11 = 2 Z²41 121=1 2²2-22
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) i) == ·dz ) S ez dz iii) √ (Z-1) ² (2+1) ² 121=1 12-1-11 = 2 Z²41 121=1 2²2-22
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