December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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19.6 Evaluation of Real Integrals
INTRODUCTION
In this section we shall see how residue theory can be used to evaluate real integrals of the forms
(1)
(2)
(3)
where F in (1) and f in (2) and (3) are rational functions. For the rational function f(x) = p(x)/q(x) in (2) and (3), we will assume that the polynomials p and q have no common factors.
Integrals of the Form F(cos θ, sin θ) d θ
The basic idea here is to convert an integral of form (1) ...
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