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Math Help - partial fractions

  1. #1
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    partial fractions

    Use partial fractions to evaluate the integral.

    1. ∫(s cubed)ds / (s squared + 4)

    2. ∫(5x squared) dx / (x squared + x + 1)

    Thanks for any help!
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  2. #2
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    Since the power of the numerator is greater than or equal to the power of the denominator, you must long divide first.

    \frac{s^{3}}{s^{2}+4}=s-\frac{4s}{s^{2}+4}

    \frac{5x^{2}}{x^{2}+x+1}=5-\frac{5(x+1)}{x^{2}+x+1}
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