=+1. faus \'fdu .

(15.11)

(b) Now assume that f is measurable $ and let M be a bound for |fl.

Consider the partition A, = [w: ie < f(w) ≤ (i+1)€], where i ranges from - N to N and N is large enough that Ne > M. Show that E sup f(w) (A1)- I| inff(w) +(A) SEH(1).
Conclude that (15.12)
[ fdu = f fdu.