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

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Víctor H. Moll
Tewodros Amdeberhan
Luis A. Medina

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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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Moll, V. H., Amdeberhan, T. ., & Medina, L. A. . (2025). The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals. Scientia, 15, 47-60. https://doi.org/10.71712/