# Fourier transform of rect function and its inverse Fourier transform

#### bobred

Hi
I have calculated the FT of the rect function from -a to a and get this

$$\displaystyle \frac{\sin(2\pi k a )}{\pi k}$$

Now to perform the inverse

$$\displaystyle \int^\infty _{-\infty}\frac{\sin(2\pi k a )}{\pi k} e^{2\pi i k x} dk$$

I am not sure how to proceed from here, should I convert the sinc to and exponential?