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

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Published: 2025-08-08
DOI: https://doi.org/10.71712/
Keywords:
Trigonometric integrals.

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Victor H. Moll
Department of Mathematics, Tulane University, New Orleans, LA 70118
Tewodros Amdeberhan
Department of Mathematics, Tulane University, New Orleans, LA 70118
Luis A. Medina
Department of Mathematics, Tulane University, New Orleans, LA 70118 

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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Vol. 15 (2007)

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Articles

© 2026 The Author(s). Published By Universidad Técnica Federico Santa María

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Moll, V. H., Amdeberhan, T. ., & Medina, L. A. . (2025). The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals. Scientia Series A: Mathematical Sciences, 15, 47-60. https://doi.org/10.71712/