The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals

Luis A.  Medina; Tewodros  Amdeberhan; Víctor H. Moll

Vol. 15 (2007)

Articles

The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals

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Luis A. Medina,
Tewodros Amdeberhan,
Victor H. Moll

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Luis A. Medina
Department of Mathematics, Tulane University, New Orleans, LA 70118

Tewodros Amdeberhan
Department of Mathematics, Tulane University, New Orleans, LA 70118

Victor H. Moll
Department of Mathematics, Tulane University, New Orleans, LA 70118

Published 28-02-2025

Keywords

Trigonometric integrals.

Abstract

We present evaluations and provide proofs of definite integrals involving the function \(x^p \cos^n x.\) These formulae are generalizations of 3.761.11 and 3.822.1, among others, in the classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik.

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