There are given:
$$\mbox{rect}(f/2a)=\left\{\begin{matrix} 1, & -a<f<a\\ 0,5 &\begin{vmatrix} f \end{vmatrix}=a \\ 0& \begin{vmatrix} f \end{vmatrix}>a \end{matrix}\right.$$
$V(f,t)$
and I should find:
$$\int_{\infty}^{-\infty}V(f,t) \cdot \mbox{rect}(f/2a) e^{j \pi f t}$$
I have started my solution with: $$\int_{\infty}^{-\infty}V(f,t)\cdot \mbox{rect}(f/2a) e^{j \pi f t}=\int_{a}^{-a}V(f,t) e^{j \pi f t}$$
Is it correct?