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Math Help - Prove this integral is equal to zero

  1. #1
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    Prove this integral is equal to zero

    I was tutoring an engineer student and we are stuck at this one problem.

    Prove that  \frac {1}{T} \int _{0}^{T} [V I \sin ( \theta ) \sin (2 \omega t ) ] dt = 0

    I rarely deal with integrals like this and not really sure how to proceed. He is taking an undergrad. engineering class and I suppose this shouldn't be too difficult. Are there any hints or at least some resource I can read get hints from?

    Thank you.
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  2. #2
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    Quote Originally Posted by tttcomrader View Post
    I was tutoring an engineer student and we are stuck at this one problem.

    Prove that  \frac {1}{T} \int _{0}^{T} [V I \sin ( \theta ) \sin (2 \omega t ) ] dt = 0

    I rarely deal with integrals like this and not really sure how to proceed. He is taking an undergrad. engineering class and I suppose this shouldn't be too difficult. Are there any hints or at least some resource I can read get hints from?

    Thank you.
    Is \omega defined in terms of T?
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  3. #3
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    Quote Originally Posted by tttcomrader View Post
    I was tutoring an engineer student and we are stuck at this one problem.

    Prove that  \frac {1}{T} \int _{0}^{T} [V I \sin ( \theta ) \sin (2 \omega t ) ] dt = 0

    I rarely deal with integrals like this and not really sure how to proceed. He is taking an undergrad. engineering class and I suppose this shouldn't be too difficult. Are there any hints or at least some resource I can read get hints from?

    Thank you.
    What's that \theta doing in there? You could start by taking the VI out and if \theta is suppose to be there then that's constant so take that one out too. Otherwise, why don't you just evaluate the general expression:

    \int_0^T \sin(t)\sin(2\omega t)dt=0

    and figure out what T,\omega have to be to make it so.
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