The integrals in Gradshteyn and Ryzhik. Part 13: Trigonometric forms of the beta function
Victor H. Moll
TL;DR
This paper explores how certain trigonometric integrals listed in Gradshteyn and Ryzhik can be expressed using the beta function, providing detailed evaluation methods.
Contribution
It offers a detailed analysis and evaluation of specific trigonometric integrals in Gradshteyn and Ryzhik using the beta function, expanding the understanding of their interrelations.
Findings
Identified trigonometric integrals expressible via the beta function
Provided explicit evaluation methods for these integrals
Enhanced the catalog of known integral evaluations
Abstract
The table of Gradshteyn and Rhyzik contains some trigonometric integrals that can be expressed in terms of the beta function. We describe the evaluation of some of them.
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Taxonomy
TopicsStatistical and numerical algorithms · Geophysics and Gravity Measurements · Heat Transfer and Mathematical Modeling