Derivation Of Formulas For Evaluating Integrals Of Powers And Products Of Hyperbolic Sine And Hyperbolic Cosine
Volume 3 - Issue 4, April 2019 Edition
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Author(s)
Renson Aguilar Robles
Keywords
Hyperbolic Cosine, Hyperbolic Sine, Powers of Hyperbolic Cosine, Powers of Hyperbolic Sine, Product of Hyperbolic Sine and Cosine.
Abstract
The study aimed to develop formulas in evaluating integrals of powers and products of hyperbolic sine and hyperbolic cosine. Integrals of the form , where or ; and , where and for all except zero were considered. Through basic knowledge on algebraic methods, differentiation and integration procedures, the study presented the generalized formulas in finite series forms in evaluating integrals of some hyperbolic functions. This study, as a pure research, is descriptive and expository in nature. This provided comprehensive description of the concepts in Mathematics, particularly on the context of hyperbolic functions, which may simplify formulas in evaluating hyperbolic integrals. The generalized formulas of hyperbolic integrals of various forms stated above were developed to shorten up the solutions in evaluating such integrals.
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