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The Fourier Integral Representation of f(t) is (0, t<0, t>1 f(t) 1 [sin w + 1 -(cos w wt 1 [sin w + 1 -(cos w +1) cos wt + 1 sin wsin wt dw f(t) Cos W+ 1 [sin w + 1 (cos w 1 f(t) 1) oS wt + -cos W+- -sin w sin wt WIT 1 -[sin w + 1 (cos w [-cos wain wan ue jou 1 -Cos W + f(t) - 1) wt + sin wt dw

The Fourier Integral Representation of f(t) is (0, t<0, t>1 f(t) 1 [sin w + 1 -(cos w wt 1 [sin w + 1 -(cos w +1) cos wt + 1 sin wsin wt dw f(t) Cos W+ 1 [sin w + 1 (cos w 1 f(t) 1) oS wt + -cos W+- -sin w sin wt WIT 1 -[sin w + 1 (cos w [-cos wain wan ue jou 1 -Cos W + f(t) - 1) wt + sin wt dw

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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t, 0<t<1 is The Fourier Integral Representation of f(t) 0, t<0, t>1 f(t) [sin w + WIT (cos w - 1) cos wt dw 1 [sin w + WIT 1 cos W + f(t) (cos w + 1) cos wt + sin sin wt dw WIT 1 [sin w + 1 (cos w 1 -cos w + f(t) 1) os wt + sin w sin wt dw 1 -[sin w + WIT 1 (cos w - 1) cos wt + 1 -cos W + 1 sin wsin wt dw f(t) WII
Transcribed Image Text:t, 0<t<1 is The Fourier Integral Representation of f(t) 0, t<0, t>1 f(t) [sin w + WIT (cos w - 1) cos wt dw 1 [sin w + WIT 1 cos W + f(t) (cos w + 1) cos wt + sin sin wt dw WIT 1 [sin w + 1 (cos w 1 -cos w + f(t) 1) os wt + sin w sin wt dw 1 -[sin w + WIT 1 (cos w - 1) cos wt + 1 -cos W + 1 sin wsin wt dw f(t) WII
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