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  1. #1
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    integrations...

    <br />
\int \frac{2}{5x\sqrt{12+x}}<br /> <br />

    i started off by taking u=x+12 and x=u-12
    but from there everything just gets complicated. is there a formula for this or a way that does not take up 2 pages
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  2. #2
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    Quote Originally Posted by simsima_1 View Post
    <br />
\int \frac{2}{5x\sqrt{12+x}}<br /> <br />

    i started off by taking u=x+12 and x=u-12
    but from there everything just gets complicated. is there a formula for this or a way that does not take up 2 pages
    Try the substitution u^2 = 12 + x.

    Note that:

    1. x = u^2 - 12.

    2. dx = 2u du.

    Then use partial fraction decomposition.
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