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Math Help - Integration of log & ln

  1. #1
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    Integration of log & ln

    How do you integrate log(x^3) or ln(x^3)? ln(ax) and log(ax) can be solved either by using a combination of u-sub, specific formulas, and integration by parts (only for ln). But not with x^(n>1). So...?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Kaitosan View Post
    How do you integrate log(x^3) or ln(x^3)? ln(ax) and log(ax) can be solved either by using a combination of u-sub, specific formulas, and integration by parts (only for ln). But not with x^whatever. So...?
    Recall that \log\left(x^a\right)=a\log x (same for ln)...
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  3. #3
    Senior Member Twig's Avatar
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     ln(x^3) = 3 \cdot ln(x)
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  4. #4
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    I can't believe I missed that. -_-
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