Fourier Transform, Inverse FT& Parseval's-Problem 4 - Find the FT of f(x)=a^2-x^2, if |x|≤a - Part 2

Fourier Transform - Inverse Fourier Transform - Parseval's Identity for FT - Problem 4 - -Part 2 Find the Fourier Transform of the function f(x)= a^2 - x^2 , if |x|≤a. Hence deduce the integrals (i).∫_0^∞ {(sin t - t cos t)/t^3} dt = π/4 (ii). ∫_0^∞ {(sin t - t cos t)/t^3}^2 dt = π/15