Use residue theory to calculate the following integrals: P.V. fo (a) P.V. 3x (x²+49) (x² - 2x + 5) sin 3x (b) To (22²2 +16)²2 1 2π (c) 1.²* dx (4 sin 0) - 5 do dx

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 52PS
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4. Use residue theory to calculate the following integrals:
3x
dx
10 (2²+49) (2² - 2x + 5)
(a) P.V.
(b) To
2π
(c) 1.²
sin 3x
(x²+16)²
dx
1
(4 sin ) -5
do
Transcribed Image Text:4. Use residue theory to calculate the following integrals: 3x dx 10 (2²+49) (2² - 2x + 5) (a) P.V. (b) To 2π (c) 1.² sin 3x (x²+16)² dx 1 (4 sin ) -5 do
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