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Math Help - Integration using partial fraction-Irreducible Quadratic Factor 1

  1. #1
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    Integration using partial fraction-Irreducible Quadratic Factor 1

    Integrate x^3 + 4x^2 + 9x + 14
    .................x^2 + 4x + 3
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  2. #2
    MHF Contributor chisigma's Avatar
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    The function can be decomposed in partial fractions as follows...

    f(x)= \frac{x^{3}+ 4\cdot x^{2} + 9\cdot x + 14}{x^{2} + 4\cdot x + 3}= x + \frac {6\cdot x + 14}{x^{2} + 4\cdot x + 3}= x + \frac{a}{x+3} + \frac{b}{x+1}

    The constants a and b are easily found, after that f(*) can be integrated in 'standard fashion'...

    Kind regards

    \chi \sigma
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  3. #3
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    i get it.
    Thanks.
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