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Math Help - Ln: Integral

  1. #1
    Super Member dhiab's Avatar
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    Ln: Integral

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  2. #2
    Super Member
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    Split the integrals into:
    \int \frac{2}{x}\ln{(x)}~dx + \int \frac{1}{2}(\ln{(x)})^2~dx

    First integral is dealt with by the substitution u = \ln{x}

    \int \frac{1}{2}(\ln{(x)})^2~dx = \int \frac{1}{2}(x)'(\ln{(x)})^2~dx

    Second integral requires the use of integration by parts with u = (\ln{(x)})^2 and v = x
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