Evaluate the following integrals using residue theorem: (a) x² Loo (2² + 9) (2²+4)²0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 1
Evaluate the following integrals using residue theorem:
(a)
x²
Lo (2² + 9) (x² + 4)²²
dx
(b)
2x³ sin wr
Lox (1
a
-d.x
[xx (2² + 1)(x² + 4)
(c)
-dx
Transcribed Image Text:Question 1 Evaluate the following integrals using residue theorem: (a) x² Lo (2² + 9) (x² + 4)²² dx (b) 2x³ sin wr Lox (1 a -d.x [xx (2² + 1)(x² + 4) (c) -dx
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