Application To Symbolic Integration
For the purpose of symbolic integration, the preceding result may be refined into
Let ƒ and g be nonzero polynomials over a field K. Write g as a product of powers of pairwise coprime polynomials which have no multiple root in an algebraically closed field:
This reduces the computation of the antiderivative of a rational function to the integration of the last sum, with is called the logarithmic part, because its antiderivative is a linear combination of logarithms.
Read more about this topic: Partial Fraction
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