I have here a **squared sinc function**, which is the Fourier Transform of some **triangular pulse**:

$$\mathrm H(f)= 2\mathrm A\mathrm T\_\mathrm o \frac{\sin^2(2\pi f \mathrm T\_\mathrm o)}{(2\pi f\mathrm T\_\mathrm o)^2}$$

As an excercise, I would like to go back to the original time domain **triangular pulse**, using the inverse Fourier Transform.

I feel like I'm very close to achieving it, however, I stumbled upon this integral:

$$\mathrm h(t)=\frac {\mathrm A} {2\pi ^2 \mathrm T\_\mathrm o}\int\_{0}^{\infty}\frac{(1-\cos(4\pi f\mathrm T\_\mathrm o))\cos(2\pi ft)}{f^2}df$$

I'm not sure if there is already an expression which defines the value of this integral, or if this integral is of a well-known type, with a well-defined value. The tables of integrals that I have right now are basic and don't cover integrals of such type.

Does someone know if there is a well-known expression for the value of integrals of this type?

Or, would you be so kind as to recommend a good table of integrals for Fourier Analysis?

Thank you very much!