  In this paper, we study integral functionals defined on spaces of functions
with values on general (non-separable) Banach spaces. We introduce a new class
of integrands and multifunctions for which we obtain measurable selection
results. Then, we provide an interchange formula between integration and
infimum, which enables us to get explicit formulas for the conjugate and Clarke
subdifferential of integral functionals. Applications to expected functionals
from stochastic programming, optimality conditions for a calculus of variation
problem and sweeping processes are given.
