  We develop the connection between Rota-Baxter operators arisen from algebra
and mathematical physics and Bernoulli polynomials. We state that a trivial
property of Rota-Baxter operators implies the symmetry of the power sum
polynomials and Bernoulli polynomials. We show how Rota-Baxter operators
equalities rewritten in terms of Bernoulli polynomials generate identities for
the last.
