# Thread: Integration using Fourier transform

1. ## Integration using Fourier transform

x(t,f)=int(δ(t_1-t_0)*(a/π)^(1/4)*exp(-(a/2)(t_1-t)^2)*exp(-i2πft_1) dt_1) (from -∞ to +∞)

I am asked to solve this integral, which is the short-time Fourier transform.
I would appreciate your help. Thank you!

2. ## Re: Integration using Fourier transform

$\int_{-\infty}^{\infty} \delta(t- t_1)f(t)dt= f(t_1)$ for any function, f.