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

Abstract

We present evalauations 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.

13 pages

References in corpus (4)

• The integrals in Gradshteyn and Rhyzik. Part 1: A family of logarithmic integrals
• The integrals in Gradshteyn and Ryzhik. Part 4: The Gamma function
• The integrals in Gradshteyn and Rhyzik. Part 2: Elementary logarithmic integrals
• The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of Logarithms and Exponentials

Cited by in corpus (4)

• The integrals in Gradshteyn and Ryzhik. Part9: Combinations of logarithms, rational and trigonometric functions
• The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples
• The integrals in Gradshteyn and Ryzhik. Part 8: Combinations of powers, exponentials and logarithms
• The Laplace transform of the digamma function: an integral due to Glasser, Manna and Oloa