contour integration - Fourier transform of $text{sinc}^3 {pi t}$

$$f(t)=\frac{\sin^3(\pi t)}{(\pi t)^3}$$
I want to calculate the Fourier transform.
I can't calculate this integral:
$$\int_0^\infty\frac{\sin^3(\pi t)}{(\pi t)^3}\cos(ut)\,\mathrm{d}t$$