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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) 2²1dz √ že z dz iii) ! (2-1)² = (2+1)² (i) S 121=12²2²-22 121=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) 2²1dz √ že z dz iii) ! (2-1)² = (2+1)² (i) S 121=12²2²-22 121=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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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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