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Math Help - solve this integral

  1. #1
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    solve this integral

    Hi, i need to integrate

    [x^(n+1)]/(1-x) dx.

    i cant find it in any sort of table, or trig sub doesnt work, parts is messy too.

    thanks.
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  2. #2
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    Quote Originally Posted by lauren2988 View Post
    Hi, i need to integrate

    [x^(n+1)]/(1-x) dx.

    i cant find it in any sort of table, or trig sub doesnt work, parts is messy too.

    thanks.

    after some long division ...

    \frac{x^{n+1}}{1-x} = \frac{1}{1-x} - x^n - x^{n-1} - x^{n-2} - ... - x^3 - x^2 - x - 1
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