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**intgration of a function*** help please*****

actually this is not a homework, I found this explanation in a journal paper but I could not understand it. Can someone give me an explanation or possibly a proof that:

## Homework Statement

if:

then why integration over whole period is:

## Homework Equations

I have problem with the power of omega, my solution returns w with power 2, while the power of omega in answer is one, Can someone help me for the reason?

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