Fourier transform properties (integration) proof

1.5k Views Asked by At

From Signals and Systems _ Alan V. Oppenheim

There's a property of fourier transform states as below.

Fourier transform of $\int_{-\infty}^\tau x(\tau) d\tau $ equals to $\frac{ X(j\omega)}{j\omega} + \pi \delta(\omega)X(0)$

Can someone prove this?