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

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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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
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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