Greetings StackExchange, (I hope this question comes under Mathematics and not Physics)
I've been attempting a Fourier Transform on an FM synthesized wave (as below). After a long time (about 8 days) of trying the integration, I realized that FM synthesis results in a non-periodic wave and that I shouldn't integrate it from 0 to 1 as base periodicity (Correct me if I'm wrong). I need help with the integration (I'm quite sure that it is integrable because I tried visualizing the wave using Desmos).
The wave - $f\left(t\right)=A\left(\sin\left(2\pi nt\ +\ r\sin\left(2\pi mt\right)\right)\ \right)$ where n, m, A & r are constants.
The integral - $v\left(x\right)=\int \left(\sin\left(2\pi nt\ +\ r\sin\left(2\pi mt\right)\right)\ \right)\ \ e^{-2\pi ixt}\ dt$
Thank You
[Edit] The wave is periodic. I was wrong.