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Math Help - integral of quadratic term

  1. #1
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    integral of quadratic term

    <br /> <br />
\int \frac{dx}{x(9-x^{2})}<br />

    i dont know how to set it up and solve for it.

    Can someone show me the steps?
    Greatly appreciate it!
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  2. #2
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    Quote Originally Posted by larryboi7 View Post
    <br /> <br />
\int \frac{dx}{x(9-x^{2})}<br />

    i dont know how to set it up and solve for it.

    Can someone show me the steps?
    Greatly appreciate it!
    See integrate 1/(x(9 - x^2)) - Wolfram|Alpha (Click on Show steps).
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  3. #3
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    Quote Originally Posted by larryboi7 View Post
    <br /> <br />
\int \frac{dx}{x(9-x^{2})}<br />

    i dont know how to set it up and solve for it.

    Can someone show me the steps?
    Greatly appreciate it!
    factor the denominator: \frac{1}{x(x-3)(x+3)} and use partial fractions.
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