So i am trying to calculate the fourier transform of this waveform.

I have made an attempt at it but i dont think its right:
S(t) = 1000t
The integral of: 1000t*e^-jwt dt , with the limits: 0 to 1x10^-3

 

So i am trying to calculate the fourier transform of this waveform.

Your assessment of the function is close, but doesn't correspond with the given graph. What is the value of S(t) at t = 0.002? According to your definition it is 2, but according to the graph it seems to be undefined. Furthermore, the Fourier transform integral ranges from negative infinity to positive infinity, not 0 to 0.001.

Are you sure you need to calculate a Fourier transform and not a Fourier series? A feasible alternative would be to calculate the Fourier series of the periodic extension of S(t). Another approach would be to treat S as half of a period of a sawtooth wave.