I present an overview on integral forms needed for formulating a sensible integration theory on supermanifolds.
I discuss the applications of integral forms in string perturbation theory in RNS formalism and Pure Spinor formalism. I discuss the applications to
super-Calabi-Yau manifolds and topological strings and, finally, I present a novel formula for the entropy current based on integral forms in supersymmetric field theory and supergravity.