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

Resumen

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.