1. Use Cauchy residue theorem to evaluate the following integrals. (a) √2do 5+3 cos 0 dx (b) (x²+1) 3 xdx (c) So 25+1 COS (d) f (x+1)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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1. Use Cauchy residue theorem to evaluate the following integrals.
(a) √2do
5+3 cos 0
dx
(b) (x²+1) 3
xdx
(c) So 25+1
COS
(d) f (x+1)dx
Transcribed Image Text:1. Use Cauchy residue theorem to evaluate the following integrals. (a) √2do 5+3 cos 0 dx (b) (x²+1) 3 xdx (c) So 25+1 COS (d) f (x+1)dx
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