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Math Help - [SOLVED] Natural Logarithmic Integration

  1. #1
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    [SOLVED] Natural Logarithmic Integration

    Integrate the following:

    ln(x)^2/x dx
    I get stuck when I do the u-subxtitution.
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  2. #2
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    If it's \ln x^2, then it's quite easy since \ln x^2=2\ln x, so worry about by \int\frac{\ln x}x\,dx.
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  3. #3
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    If indeed it is \int\frac{(ln x)^2}{x}dx= \int(ln x)^2(dx/x), then use the substitution u= ln(x). Since du/dx= 1/x, du= dx/x and the integral becomes \int u^2 du.
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  4. #4
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    thanks!!!
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