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Math Help - Integration problem

  1. #1
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    Integration problem

    Show that with limits pi/3 pi/2, ∫ sin x [(1 + cos x) / (1 - cos x)] dx = ln 4 -1/2.

    How can I do this?
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  2. #2
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    Quote Originally Posted by geton View Post
    Show that with limits pi/3 pi/2, ∫ sin x [(1 + cos x) / (1 - cos x)] dx = ln 4 -1/2.

    How can I do this?
    Substitute u = \cos x and dx = - \frac{du}{\sin x}. Make sure to substitute for the integral terminals as well.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Substitute u = \cos x and dx = - \frac{du}{\sin x}. Make sure to substitute for the integral terminals as well.

    Thank you so much.
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