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Math Help - Partial Fractions and repeating linear functions

  1. #1
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    Partial Fractions and repeating linear functions

    K I was wondering about this..:
    <br />
\int \frac{3 x^3  - 4 x^2 + 16}{(x^4+2 x^3)} dx

    So for the bottom I get (x^3)(x+2)

    Would it be correct if I break it up like so:

    A/(x) + B/(x+2) + C/(x^(3))

    or is it more like:

    A/(x) + B/(x^2) + C/(x+2) + D/(x^(3)

    ?
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  2. #2
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    Quote Originally Posted by Lolcats View Post
    K I was wondering about this..:
    <br />
\int \frac{3 x^3  - 4 x^2 + 16}{(x^4+2 x^3)} dx

    So for the bottom I get (x^3)(x+2)

    Would it be correct if I break it up like so:

    A/(x) + B/(x+2) + C/(x^(3))

    or is it more like:

    A/(x) + B/(x^2) + C/(x+2) + D/(x^(3)

    ?
    Try breaking it up as

    \frac{Ax^2 + Bx + C}{x^3} + \frac{D}{x + 2}.
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