For the semiclassical Schrödinger operator with smooth long-range potential, we prove in a new way, making use of semiclassical measures, that the boundary values of its resolvent at non-trapping energies are bounded by O(1/ h), h being the semiclassical parameter. To cite this article: T. Jecko, C. R. Acad. Sci. Paris, Ser. I 338 (2004).