2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127854We prove an existential finiteness Varchenko-Khovanskii type result for integrals of rational 1-forms over the level curves of Darbouxian integrals.21 pages, 2 figures, LaTeXClassical Analysis and ODEsDynamical Systems34C07; 44A10On limit cycles appearing by polynomial perturbation of Darbouxian integrable systemstext