I would like to calculate the Fourier transform of the signal x(t) without using the development integral. In some examples, you can use the Fourier table by "selective" looking, to calculate the Fourier transform. Here I have an example with x(t). But unfortunately I find no way to convert this with the Fourier table.
$$x(t)=\begin{cases} \displaystyle cos\left( \frac { 2\pi }{ T } t \right) -0.5,\left| t \right| \le T/4 \\ -0.5,\left| t \right| >T/4 \end{cases}$$
If someone has a Idea for me, that would be great! Thanks