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    Integral x-1, divided by x to the 3rd + x squared to dx.

    x-1
    -----
    X to the 3rd + X to the 2nd ( all dx)

    © BrainMass Inc. brainmass.com March 6, 2023, 1:12 pm ad1c9bdddf
    https://brainmass.com/math/integrals/integration-polynomial-fractions-7486

    Solution Preview

    let F(x) =(x-1)/(x^3 +x^2) = (x-1)/{x^2(x+1)}
    = [A/(x+1)] + [B/x] + [C/x^2] => Partial fraction
    cross multiply:

    =>x-1 = ...

    Solution Summary

    This shows how to integrate a polynomial fraction. A polynomial squared function is examined.

    $2.49

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