Integration of a Generalized Ratio of Polynomials

Mathematics

Donovan E. Brocker¹  Matthew J. Brandsema² 

[1] Electrical Engineering and Computer Science Department, Milwaukee School of Engineering, Milwaukee, WI 53202, USA;Penn State Applied Research Laboratory, State College, PA 16804, USA;

关键词: integration formula;    polynomial;    ratio;   

DOI  :  10.3390/math9202579

来源: DOAJ

【 摘 要 】

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 $r\in {\mathcal{Z}}^{+}$. Such an integral arises in physics and engineering, the solution of which allows for closed-form analysis.

【 授权许可】

Unknown