en عمومى General پژوهشي Research paper <pre> </pre> <div style="text-align: justify;">The notion of the PU integral was first formulated by Kurzweil and Jarnik. It is a Henstock type that utilizes the concept of a partition of unity in it covering system. They mentioned, without much details, that this integration process may be used in the formulation of the Henstock integral in manifolds. In this paper, the above query will be revisit and the Henstock integral of a function defined on a manifold will be presented including some of its fundamental properties.</div> Partition of unity, Henstock integral on manifolds, Saks-Henstock lemma, Change of variable formula. 105 127 http://ijmsi.ir/browse.php?a_code=A-10-2948-3&slc_lang=en&sid=1 Greig Bates C. Flores greigbates.flores@cmu.edu.ph 100319475328460012352 100319475328460012352 Yes Department of Mathematics, Central Mindanao University, Maramag, Bukidnon, Philippines