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Math Help - Confusing integration partial fractions

  1. #1
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    Confusing integration partial fractions

    Hi, i normally understand integration by partial fractions, but ive come across a sum i can't figure out how to get the answer. Any chance anyone could give me a hand?
    I'm not going to tell you the exact question because thats cheating, but..

    Integrate x^(a power) / (x^3-1)

    Thanks for your time
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Bexii View Post
    Hi, i normally understand integration by partial fractions, but ive come across a sum i can't figure out how to get the answer. Any chance anyone could give me a hand?
    I'm not going to tell you the exact question because thats cheating, but..

    Integrate x^(a power) / (x^3-1)

    Thanks for your time
    Suppose 0<a<3 Then use partial fractions. Suppose a\geq{3}, use polynomial division and then p-fracs.
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  3. #3
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    Ok.... well the power is over 3 so division it is. Erm any chance of an example how to do the division in relation to this sum? Very rusty....
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  4. #4
    Newbie EightballLock's Avatar
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    It's the same as your old grade-school long division. The quotient will be expressed by itself (over 1) and the remainder must be placed over the original denominator.

    EDIT: By that, I mean write out all of your coefficients of different degrees of X as if they were the different value places in basic long division.
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