2. a) Find the Fourier cosine integral of ƒ(x) = { b)Find the Fourier sine integral of f(x) ={ c)Find Fourier transformation of f(x) = { sin x 0 sin 0 xe 0 if if 0 T if if x > T 0 < x < T if −1 < x < otherwise.
2. a) Find the Fourier cosine integral of ƒ(x) = { b)Find the Fourier sine integral of f(x) ={ c)Find Fourier transformation of f(x) = { sin x 0 sin 0 xe 0 if if 0 T if if x > T 0 < x < T if −1 < x < otherwise.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer all three sub-questions

Transcribed Image Text:2.
a) Find the Fourier cosine integral of
f(x) =
b)Find the Fourier sine integral of
{
f(x) = {
c) Find Fourier transformation of
f(x) =
={
sin x
0
sinx
0
xe
0
X
if
if
0<x<T
x > T
if
if x > T
0<x<T
if −1 < x < 0
otherwise.
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