4. Use residue theory to calculate the following integrals: 3.x (x2+49)(x² - 2x + 5) (a) P.V. (b) (c) ∞ ∞ sin 3x (x² + 16)² 1 (4 sin 0) 5 To (2² -2πT dx do dx
4. Use residue theory to calculate the following integrals: 3.x (x2+49)(x² - 2x + 5) (a) P.V. (b) (c) ∞ ∞ sin 3x (x² + 16)² 1 (4 sin 0) 5 To (2² -2πT dx do dx
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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Transcribed Image Text:4. Use residue theory to calculate the following integrals:
3.x
(x²+49)(x² - 2x + 5)
dr
∞
(a) P.V. L
(b) To
2π
-∞
sin 3x
(x² + 16)²
1
(4 sin 0) - 5
do
dx
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