Scientia Series A: Mathematical Sciences

Vol. 15 (2007)
Articles

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

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

Published 2007-01-16

Keywords

  • Trigonometric integrals.

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How to Cite

The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals. (2007). Scientia Series A: Mathematical Sciences, 15, 47-60. https://revistas.usm.cl/scientia/article/view/101

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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