2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113022In [2], I constructed the p-adic q-integral on Zp. In this paper, we consider the properties of the p-adic invariant p-adic q-integral in the ring of p-adic integers at q=-1. Finally we give the some applications of p-adic q-integration at q=-1. These properties are useful and worthwhile to study Euler numbers and polynomials.5 pagesNumber Theory11S80, 11B68text