  Integral properties of multifunctions with closed convex values are studied.
In this more general framework not all the tools and the technique used for
weakly compact convex valued multifunctions work. We pay particular attention
to the "positive multifunctions". Among them an investigation of multifunctions
determined by vector-valued functions is presented. Finally, decomposition
results are obtained for scalarly and gauge-defined integrals of multifunctions
and a full description of McShane integrability in terms of Henstock and Pettis
integrability is given.
