Integration of a Generalized Ratio of Polynomials
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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics&...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-10-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/9/20/2579 |
| Summary: | 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>∈</mo><msup><mi mathvariant="script">Z</mi><mo>+</mo></msup></mrow></semantics></math></inline-formula>. Such an integral arises in physics and engineering, the solution of which allows for closed-form analysis. |
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| ISSN: | 2227-7390 |