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

2007/05/16 by Tewodros Amdeberhan, Amdeberhan, Tewodros, Luis A. Medina +4 · 1 citation
Mathematics · #33B10 #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #math.CA #msc:33B10

paper · pdf · doi:10.48550/arxiv.0705.2379

13 pages

arxiv created 2007/05/16 · openalex publication_date 2007/05/16 · arxiv updated 2009/12/01 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We present evalauations and provide proofs of definite integrals involving the function x^p cosⁿ 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.

Citations

• The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of Logarithms and Exponentials
• The integrals in Gradshteyn and Ryzhik. Part 4: The Gamma function

Cited by

• The integrals in Gradshteyn and Ryzhik. Part9: Combinations of logarithms, rational and trigonometric functions

Related

• The integrals in Gradshteyn and Ryzhik: Part 33: Sines and cosines of multiple and of linear and more complicated functions of the argument
• The integrals in Gradshteyn and Ryzhik. Part 32: Powers of trigonometric functions
• Integrals in Gradshteyn and Ryzhik: Hyperbolic and trigonometric function
• The integrals in Gradshteyn and Ryzhik. Part9: Combinations of logarithms, rational and trigonometric functions
• The integrals in Gradshteyn and Ryzhik. Part 13: Trigonometric forms of the beta function