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The Power Integrations of Trigonometric and Hyperbolic Functions

DOI: 10.4236/oalib.1105618, PP. 1-15

Subject Areas: Function Theory, Functional Analysis, Integral Equation, Financial Mathematics

Keywords: Trigonometric Functions, Hyperbolic Functions, Integrations Method

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Abstract

For importance of the trigonometric integrals, we have in this paper finding a series of power, some of trigonometric functions that did not exist before in the first section. As shown in the Section two, where, the integration of trigono-metric function with power n has been achieved and approved, this result is considered as the first achievement. while in the third section we find integrals for multiplying of trigonometric functions with powers n and m. Finally, in Section 4, we find series of power of hyperbolic functions, integrals of hyper-bolic functions with powers n and integrals for multiplying of hyperbolic func-tions with powers n and m.

Cite this paper

Ali, A. M. and Abd-Alkanee, O. M. (2019). The Power Integrations of Trigonometric and Hyperbolic Functions. Open Access Library Journal, 6, e5618. doi: http://dx.doi.org/10.4236/oalib.1105618.

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