Solution-Show the fourier transform using the

Show the fourier transform using the multiplicative property

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Reference no: EM132330942

Question - The functions f₁ and f₂ are defined by

(a) Show that the Fourier transform of f1(t) is 1/iω(1 - e^-2iω).

(b) By using the multiplicative property of Fourier transforms, or otherwise, show that the Fourier transform of f₂(t) is 1/ω²(e^-2iω(2iω + 1) -1).

is F(ω) = 2/ω²(3ωsin2ω - 2sin²ω).

(d) By using (c), evaluate _-∞∫^∞(2sin²x-3xsin2x)/x² dx.

Reference no: EM132330942

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Show the fourier transform using the multiplicative property

Reference no: EM132330942

Reference no: EM132330942

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