Scientia Series A: Mathematical Sciences

Vol. 27 (2016)
Articles

The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions.

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  • Tewodros Amdeberhan,
  • Atul Dixit,
  • Xiao Guan,
  • Lin Jiu,
  • Alexey Kuznetsov,
  • Victor H. Moll,
  • Christophe Vignat
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

Published 2025-08-08

Keywords

  • Integrals,
  • trigonometric function

Copyright (c) 2025 Scientia Series A: Mathematical Sciences

Creative Commons License

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

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/

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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