2023•Unpublished venueOpen access

A Formula for Integrals of Rational Functions Requiring Partial Fraction Decomposition

Gokulanath Mahesh Kumar

Abstract

Integration of rational functions generally requires the function to be first decomposed into partial fractions. In this paper, we derive a general formula to directly evaluate the integral of a rational function with only simple real poles. This can also be represented as an algorithm and applied in computer algebra systems to increase the efficiency of antiderivative computations.

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Key concepts: Partial fraction decomposition, Rational function, Simple (philosophy), Computation, Mathematics, Fraction (chemistry), Decomposition, Function (biology)