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Integration of a Generalized Ratio of Polynomials

Author

Listed:
  • Matthew J. Brandsema

    (Penn State Applied Research Laboratory, State College, PA 16804, USA)

  • Donovan E. Brocker

    (Electrical Engineering and Computer Science Department, Milwaukee School of Engineering, Milwaukee, WI 53202, USA)

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.

Suggested Citation

  • Matthew J. Brandsema & Donovan E. Brocker, 2021. "Integration of a Generalized Ratio of Polynomials," Mathematics, MDPI, vol. 9(20), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2579-:d:655840
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