doi: 10.17706/ijapm.2015.5.3.192-198
Simplified Method of Evaluating Integrals of Powers of Sine Using Reduction Formula as Mathematical Algorithm
Lito E. Suello
- Malayan Colleges Laguna, Pulo-Diezmo Road, Cabuyao City, Laguna, Philippines
Abstract
This paper presents a simpler and shorter method of evaluating integrals of powers of sine. The reduction formula for sine is repeatedly applied to the integral of the nth power of sine until generalized formulas are derived. Since the derivation process involves recursive relations, the coefficients and exponents of the derived formulas showed certain patterns and sequences which were used as the basis for developing an easier algorithm.
Keywords
- Integration
- mathematical algorithm
- powers of sine
- reduction formula
- trigonometric identities
How to Cite
Lito E. Suello, "Simplified Method of Evaluating Integrals of Powers of Sine Using Reduction Formula as Mathematical Algorithm," International Journal of Applied Physics and Mathematics, vol. 5, no. 3, pp. 192-198, 2015. https://doi.org/ 10.17706/ijapm.2015.5.3.192-198
Copyright & License
Copyright © 2015 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).