Find the Fourier integral representation of f(x) = { 1 ; |x| <1 , 0 ; |x|>1 and using this S.T integral(infinity,0) sin t/t

Find the Fourier integral representation of f(x) = { 1 ; |x| 1 and using this S.T integral(infinity,0) sin t/t 2t = pi/2.