2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114998I adapt a recently introduced method for integrating over the unitary group (S. Aubert and C.S. Lam, J.Math.Phys. 44, 6112-6131 (2003)) to the orthogonal group. I derive explicit formulas for a number of one, two and three-vector integrals, as well as recursion formulas for more complicated cases.13 pagesMathematical PhysicsMesoscale and Nanoscale PhysicsQuantum Physics20G20text