Pandawa Logo

Scopus CiteScore 2024

4.8

Calculated on 05 May, 2025

SJR 2024

0.31

Powered by scimagojr.com

Idioma

Journal of Multidisciplinary Applied Natural Science

e-ISSN: 2774-3047


v. 4 n. 1 (2024) Articles https://doi.org/10.47352/jmans.2774-3047.186

Integration of Rational Functions

Laxmi Rathour Dragan Obradovic Kejal Khatri Shiv Kant Tiwari Lakshmi Narayan Mishra Vishnu Narayan Mishra

Informações do autor

Laxmi Rathour

https://orcid.org/0000-0002-2659-7568
  • laxmirathour817@gmail.com
  • Department of Mathematics, National Institute of Technology, Mizoram -796012 (India)
  • Biografia não informada.

Informações do autor

Dragan Obradovic

https://orcid.org/0000-0001-5871-6958

Informações do autor

Kejal Khatri

https://orcid.org/0000-0002-3425-1727
  • kejal0909@gmail.com
  • Department of Mathematics, Government College, Simalwara, Dungarpur -314403 (India)
  • Biografia não informada.

Informações do autor

Shiv Kant Tiwari

https://orcid.org/0000-0003-0942-3467
  • shivkant.math@gmail.com
  • Department of Mathematics, Lukhdhirji Engineering College, Morbi-363642 (India)
  • Biografia não informada.

Informações do autor

Lakshmi Narayan Mishra

https://orcid.org/0000-0001-7774-7290

Informações do autor

Vishnu Narayan Mishra

https://orcid.org/0000-0002-2159-7710
  • vishnunarayanmishra@gmail.com
  • Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak-484887 (India)
  • Biografia não informada.

Publicado em: agosto 18, 2023

[1]
L. Rathour, D. Obradovic, K. Khatri, S. K. Tiwari, L. N. Mishra, e V. N. Mishra, “Integration of Rational Functions”, J. Multidiscip. Appl. Nat. Sci., vol. 4, nº 1, p. 58–62, ago. 2023.

Resumo

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.

Referências

Informações do artigo