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Math Help - Simple Integration

  1. #1
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    Simple Integration

    Can someone clarify this integral for me?

    EDIT: I figured it out, brain fart!

    \int_{\alpha}^{\pi-\alpha}sin(n\omega_{o}t)d(\omega_{o}t) =-\frac{1}{n} \left( cos(n(\pi-\alpha)) - cos(n\alpha) \right) = \frac{1}{n} \left( -cos(n\alpha)) - cos(n\alpha) \right) = \frac{2}{n}cos(n\alpha)
    Last edited by jegues; October 25th 2012 at 05:34 PM.
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  2. #2
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    Re: Simple Integration

    \int_{t = \alpha}^{t = \pi-\alpha} \sin(n\omega_{o}t)d(\omega_{o}t) = \left \frac{-\cos(n\omega_{o}t)}{n} \ \right]_{t = \alpha}^{t = \pi-\alpha} =-\frac{1}{n} \left( \cos(n\omega_{o}(\pi-\alpha)) - \cos(n\omega_{o}\alpha) \right)

    = \frac{1}{n} \left( -\cos(n\omega_{o}\pi - n\omega_{o}\alpha) + \cos(n\omega_{o}\alpha) \right)
    Last edited by johnsomeone; October 25th 2012 at 08:24 PM.
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