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Math Help - Integration problem

  1. #1
    Junior Member
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    Integration problem

    I'm not sure how to begin this problem:

    \int \frac{1}{x^3 + x^2 + x}dx


    I just need help with which method of integration I should use. I'm having trouble identifying this for multiple problems. Any help is appreciated.
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  2. #2
    Master Of Puppets
    pickslides's Avatar
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    How about using partial fractions?
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  3. #3
    MHF Contributor harish21's Avatar
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    \displaystyle \frac{1}{x^3 + x^2 + x} = \frac{1}{x(x^2+x+1)}

    As pickslides says above, use partial fractions..
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  4. #4
    Math Engineering Student
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    Put x=\dfrac1t and then you have a routine integral problem.
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  5. #5
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    How do I use partial fractions on this?
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  6. #6
    MHF Contributor
    Prove It's Avatar
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    Try \displaystyle \frac{A}{x} + \frac{Bx + C}{x^2 + x + 1}.
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