The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions. | Scientia Series A: Mathematical Sciences

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Integrals, trigonometric function

Tewodros Amdeberhan

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

Atul Dixit

Department of Mathematics, Tulane University, New Orleans, LA 70118.

Xiao Guan

Department of Mathematics, Tulane University, New Orleans, LA 70118.

Lin Jiu

Department of Mathematics, Tulane University, New Orleans, LA 70118.

Alexey Kuznetsov

Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada, M3J 1P3

Victor H. Moll

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

Christophe Vignat

Department of Mathematics, Tulane University, New Orleans, LA 70118 and, Dept. of Physics, Universite Orsay Paris Sud, L. S. S./Supelec, France

Abstract

The table of Gradshteyn and Ryzhik contains many integrals that involve trigonometric functions. Evaluations are presented for integrands containing products of trigonometric functions and products of trigonometric functions and Legendre polynomials, logarithms, Bessel functions, and the Gauss hypergeometric function.

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

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How to Cite

Tewodros Amdeberhan, Atul Dixit, Xiao Guan, Lin Jiu, Alexey Kuznetsov, Victor H. Moll, & Christophe Vignat. (2025). The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions. Scientia Series A: Mathematical Sciences, 27, 47-74. https://doi.org/10.71712/

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