This is part of a homework so I'm not looking for whole answers, only something to get me started.
I want to calculate the energy of the function s:
$s(t)=\int_{-2}^{3} e^{5i{\pi}t{\nu}} \,d\nu$
I know the energy of a function is the integral of the squared function when $t\in[-\infty, \infty]$. The problem is that I can't seem to get anywhere if I just square the function and integrate, as the calculations get very messy.
There is a tip given that I should keep the conservation of energy in mind. I know that the energy of a function is conserved when doing a Fourier transform. So am I on the right path if I first take the Fourier transform of the function and then calculate the energy of the transform-function?