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Dragan Obradovic
Elementary School "Jovan Cvijic", Pozarevac-12208 (Serbia)
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Energy Environmental Science Immunology & microbiology Materials Science & Nanotechnology Mathematics Physics

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Journal : Journal of Multidisciplinary Applied Natural Science

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Integration of Rational Functions Laxmi Rathour; Dragan Obradovic; Kejal Khatri; Shiv Kant Tiwari; Lakshmi Narayan Mishra; Vishnu Narayan Mishra
Journal of Multidisciplinary Applied Natural Science Vol. 4 No. 1 (2024): Journal of Multidisciplinary Applied Natural Science
Publisher : Pandawa Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47352/jmans.2774-3047.186

Abstract

A rational function can always be integrated, that is, the integral of such a function is always an elementary function. The integration procedure is complex and consists of four steps: elimination of the common zero-points of the numerator and denominator, reduction to a true rational function, decomposition into partial fractions and integration of the obtained expressions using direct integration, substitution method or partial integration method. Integrating rational functions is important because integrals of rational functions of trigonometric functions as well as integrals of some irrational functions are reduced to integrals of rational functions by appropriate transformations.
Co-Authors Kejal Khatri Lakshmi Narayan Mishra Laxmi Rathour Shiv Kant Tiwari Vishnu Narayan Mishra