  Despite its importance, in the introductory disciplines of exact science
courses, the demonstration of the Maxwell-Boltzmann velocity distribution law
is not explained, only its final equation is shown. In order to fill this
deficiency, in this work we try to show in detail, in a very didactic way, the
demonstration of such a law. For this, the kinetic theory of gases is initially
introduced. The good agreement of the Maxwell-Boltzmann velocity distribution
law with experimental results and its applicability limit is also presented.
