A generalized Stokes' Theorem on integral currents

The purpose of this paper is to study the validity Stokes' Theorem for singular submanifolds and differential forms with singularities in Euclidean space. results are presented context Lebesgue Integration, but their proofs involve techniques from gauge integration spirit R.~Henstock, J.~Kurzweil W.~F.~Pfeffer. We manage prove a generalized on integral currents dimension $m$ whose sets have finite $m-1$ dimensional intrinsic Minkowski content. This condition applies particular codimension $1$ mass minimizing smooth boundary semi-algebraic chains. Conversely, we give an example current $2$ $\mathbb{R}^3$, only one point, which our version does not apply.