Fourier transform of triangular wave

Mortenara

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Oct 26, 2019
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Hey all. I'm having a bit of a problem solving one of my homework assignments. i'm to use the time-derivative property to find the Fourier transform of a triangular wave-form.
I've tried some different approaches now, but nothing seems to make sense for me.
Out teacher was showing an example if the problem, but with an square-wave, and he's writing it as rect(t) and then rewriting is as rect(t/T) and my problem is that im not sure i understand how he does it, so help would be much appreciated. Tbh im not even sure why i need to do that.
I've linked the assignment and my own work
 

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Your function is y= A(1-x/a) for x from -a to 0, y= A(1+ x/a) for x from 0 to a. Do the two integrals and add them.
 
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