  It has been proven in previous papers that each Henstock-Kurzweil-Pettis
integrable multifunction with weakly compact values can be represented as a sum
of one of its selections and a Pettis integrable multifunction. We prove here
that if the initial multifunction is also Bochner measurable and has absolutely
continuous variational measure of its integral, then it is a sum of a strongly
measurable selection and of a variationally Henstock integrable multifunction
that is also Birkhoff integrable.
