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Math Help - Integration by parts

  1. #1
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    Integration by parts

    Can somebody please show my how to integrate this? I have issues with integrating natural logs. It's the integral of (cosx)ln(sinx)dx. Thanks in advance. You guys are really great to be helping people free of charge.
    Jay
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  2. #2
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    Quote Originally Posted by HellaciousD View Post
    Can somebody please show my how to integrate this? I have issues with integrating natural logs. It's the integral of (cosx)ln(sinx)dx. Thanks in advance. You guys are really great to be helping people free of charge.
    Jay
    Notice that you can get rid of the cos(x) by substituting z = sinx, where you should get:
    - \int \ln{z}~dz

    It should be obvious what parts you should use for u and dv.
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