1. Beginning with the defining integral of the Fourier Transform,
$$X(j\omega) = \int_{-\infty}^{\infty} x(t)e^{-j\omega t} dt$$
prove the time-shifting property of the Fourier Transform, i.e.,
if $$y(t) = x(t-t_0)$$, then $$Y(j\omega) = e^{-j\omega t_0}X(j\omega)$$
