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Math Help - Antiderivative for squared natural log denominator

  1. #1
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    Antiderivative for squared natural log denominator

    Hello,

    I can't figure out how to find the antiderivative for:
    dx/x(lnx)^2

    I looked through the textbook, solutions manual, and study guide manual for similar examples to go by, and also have looked through the sheets from the instructor, but cannot find anything about what to do with a natural log with a power involved and as the denominator.
    This is a converge/diverge problem, also, for 3--infinity.


    Thanks in advance for any help offered!


    Jen
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  2. #2
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    Quote Originally Posted by Jenberl View Post
    Hello,

    I can't figure out how to find the antiderivative for:
    dx/x(lnx)^2

    I looked through the textbook, solutions manual, and study guide manual for similar examples to go by, and also have looked through the sheets from the instructor, but cannot find anything about what to do with a natural log with a power involved and as the denominator.
    This is a converge/diverge problem, also, for 3--infinity.


    Thanks in advance for any help offered!


    Jen
    Make the substitution u = \ln x.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Make the substitution u = \ln x.

    Thank you!
    I got it right!
    I was making it harder that it actually was.


    Jen
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