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Math Help - [SOLVED] integration

  1. #1
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    [SOLVED] integration

    \int \ {\sqrt{x}}lnx dx
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  2. #2
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    Use integration by parts (integrate the \sqrt x and differentiate the \ln x).
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    ok thanks
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    Integration by Parts

    Hellon vinson24
    Quote Originally Posted by vinson24 View Post
    \int \ {\sqrt{x}}lnx dx
    Integrate by parts:

    \int \ {\sqrt{x}}\text{ln }x dx = \text{ln }x\times \int\sqrt{x}dx - \int\frac{d}{dx}(\text{ln x})\times \left(\int\sqrt{x}dx\right) dx

    = \text{ln }x\times \frac{2}{3}x^{\frac{3}{2}} - \int\left(\frac{1}{x}\right)\times \frac{2}{3}x^{\frac{3}{2}}dx

    Can you complete it now?

    Grandad

    PS Ah, just a couple of minutes too late!
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