Integration of a generalized ratio of polynomials

Matthew J. Brandsema; Donovan E. Brocker

doi:10.3390/math9202579

Integration of a generalized ratio of polynomials

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Abstract

This paper provides a closed-form solution to the indefinite integral of a ratio of generalized polynomials where the denominator polynomial is raised to the general order r ∈ Z⁺. Such an integral arises in physics and engineering, the solution of which allows for closed-form analysis.

Original language	English (US)
Article number	2579
Journal	Mathematics
Volume	9
Issue number	20
DOIs	https://doi.org/10.3390/math9202579
State	Published - Oct 2 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Integration of a generalized ratio of polynomials",

abstract = "This paper provides a closed-form solution to the indefinite integral of a ratio of generalized polynomials where the denominator polynomial is raised to the general order r ∈ Z+. Such an integral arises in physics and engineering, the solution of which allows for closed-form analysis.",

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Integration of a generalized ratio of polynomials

Abstract

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