Find the Fourier transform of
f(x)= 1-x2, \left| x \right|\le 1
0, |x|>1
Hence evaluate \int_{0}^{\infty }\frac{sinx-xcosx}{x^3}cos(\frac{x}{2})dx
Answer:-
Find the Fourier transform of f(x)= 1-x2
Find the Fourier transform of
f(x)= 1-x2, \left| x \right|\le 1
0, |x|>1
Hence evaluate \int_{0}^{\infty }\frac{sinx-xcosx}{x^3}cos(\frac{x}{2})dx
Answer:-