Fourier transform of sum of sinusoids

can i approximate the Fourier Transform of a finite sum of sine, or is there an apprximation of the finite sum of sine. the sommation is sin(w1t) + sin(w2t) + sin(w3t).

Answer 1

[Paul]

The exact Fourier transform can be found as:

syms w1 w2 w3 t w
f(t)=sin(w1*t)+sin(w2*t)+sin(w3*t);
F(w)=fourier(f(t),t,w)

F(w) = 

Answer 2

[Walid]

thank you !

but the summation include sin(w1t) + sin(w2t) + sin(w3t). and not w1, 2w, 3w.

[Walid]

thanks,

of course, the integration is with respect to the time 't', sin(w1*t)+sin(w2*t)+sin(w3*t)