Solution-Show that the fourier transform of the function

Show that the fourier transform of the function

Reference no: EM132326905

Question - The function 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(3ω sin2ω - 2sin²ω).

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

Reference no: EM132326905

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Show that the fourier transform of the function

Reference no: EM132326905

Reference no: EM132326905

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