Question 1 Evaluate the following integrals using residue theorem: (a) x² To (b) 2x³ sin wr Lo (1 +2²)² d (c) COS E L∞ (a² + 1)(x²²+4) dx -dz

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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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
Lx (1 a
-d.x
COST
L-00 (1² + 1)(x² + 4)²
-dx
(c)
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 Lx (1 a -d.x COST L-00 (1² + 1)(x² + 4)² -dx (c)
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