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Math Help - Integration of ln

  1. #1
    Member moonnightingale's Avatar
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    Integration of ln

    Kindly explain me how to integrate this
    Attached Thumbnails Attached Thumbnails Integration of ln-untitled.gif  
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  2. #2
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    Re: Integration of ln

    If you can do this, \int ln(200-3t)\;dt, you're done.

    Use rules of logarithms to get your expression in this form - plus a bunch of easy pieces.
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  3. #3
    MHF Contributor Amer's Avatar
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    Re: Integration of ln

    \ln \left( \frac{140000}{140000-2100t}\right) = \ln (140000) - \ln (140000-2100 t)

    the first is constant the second can be integrate by parts
    \int \ln ( a - bt) dt = t \ln (a-bt) - \int \frac{-bt}{a-bt} dt

    ...
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