4 a) Find the Fourier Integral representation of ?(?) = 1 ?? |?| < 1 0...

4 a) Find the Fourier Integral representation of ?(?) = 1 ?? |?| < 1

0 ?? |?| > 1

b) Find the Fourier Sine Transform of ?(?) = ? −|?| . Hence evaluate ∫ ?????? 1+?2 ??.

Expert Solution

Q(a): CONCEPT OF FOURIER INTEGRATION :

.......................................................................................................

Q(b): solution:

Fourier Sine transform :

NOTE: IN THE ABOVE SOLUTION INSTEAD OF -1

WE HAVE TAKEN AS -K

SO THE VALUE OF K=1

.........................................................................................................

Colby Messinger answered 2 years ago

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