  We make some considerations and remarks on D=11 supergravity and its integral
form. We start from the geometrical formulation of supergravity and by means of
the integral form technique we provide a superspace action that reproduces (at
the quadratic level) the recent formulation of supergravity in pure spinor
framework. We also make some remarks on Chevalley-Eilenberg cocycles and their
Hodge duals.
