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(b) Find the Fourier transform of the function given below 1– x? if |x|1 and hence find the value of the integral: (sin x – x cos x) cos(x/2)dx

(b) Find the Fourier transform of the function given below 1– x? if |x|1 and hence find the value of the integral: (sin x – x cos x) cos(x/2)dx

Advanced Engineering Mathematics
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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-x), 1sxs 2 Isxs2 (b) Find the Fourier transform of the function given below 1- x² if |x<l f(x)=- if |x|>1 and hence find the value of the integral: (sin x - x cos x) cos(x/2)dx (c)
Transcribed Image Text:-x), 1sxs 2 Isxs2 (b) Find the Fourier transform of the function given below 1- x² if |x<l f(x)=- if |x|>1 and hence find the value of the integral: (sin x - x cos x) cos(x/2)dx (c)
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