Simplification of a integration ( beginner)



I'm having trouble to simplify S(f(t),t): 

f(t):=Xip*((%e^(2*%pi*(sigma-t/tau)*cot(%pi*sigma)))/(1-cos(2*%pi*sigma)))*(1-cos(2*%pi*t/tau))

Is it possible to get the same short result as in Mathematica? or what is the closest I can get ?

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