2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196468We present compact, analytic expressions for the age-redshift relation $τ(z)$ for standard Friedmann-Lema\^ \itre-Robertson-Walker (FLRW) cosmology. The new expressions are given in terms of incomplete Legendre elliptic integrals and evaluate much faster than by direct numerical integration.13 pages, 3 figuresAstrophysicstext