-kx (b) Find the Fourier integral of the function f(x) = e when x > 0 and f(-x) = f(x) for k>0 cos2x T -kr and hence prove that . -dλ = k² + 2² 2k е

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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-kx
(b) Find the Fourier integral of the function f(x) = e when x > 0 and f(-x) = f(x) for k>0
cos2x
T -kr
and hence prove that
-
-dλ
k² + 2²
2k
=
Transcribed Image Text:-kx (b) Find the Fourier integral of the function f(x) = e when x > 0 and f(-x) = f(x) for k>0 cos2x T -kr and hence prove that - -dλ k² + 2² 2k =
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