Scientia, Series A: Math. Sciences 15, 2007, 47-60.
We present evaluations and provide proofs of definite integrals involving
the function xp 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.