The Bochner integral for measurable sections and its properties

‎In the present‎ ‎paper we introduce the notion Bochner integral for measurable sections and study some properties such integrals‎. ‎Given necessary and successfully condition for integrability of a‎ ‎measurable section‎. ‎Dominated convergence theorem and analogue of‎ ‎Hille's theorem are proved‎.