My def. of FT is

$\displaystyle \int_{-\infty}^{\infty}f(t)e^{\frac{i2\pi t}{T}}dt$, T= period

* How to calculate Fourier transform for

$\displaystyle f1(t)= e^{-t},$ for $\displaystyle t >= 0$; and $\displaystyle = e^t$ for $\displaystyle t<0$ (Which is the period here???)

*$\displaystyle f2(t)=2,$ for $\displaystyle -1/2<t<1/2 $, this gives me $\displaystyle \frac{-e^{\alpha t}}{\alpha} |_{-\infty}^{\infty}=\infty$ I don't remember what to do with that...

Maple says that FT in this case is $\displaystyle 2\pi\delta(\pi)$.