Let f be integrable on [a, b] and E be a finite subset of [a, b]. Show that if g is a boun...

Let f be integrable on [a, b] and E be a finite subset of [a, b]. Show that if g is a bounded function which satisfies g(x) = f (x) for all x ∈ [a, b] \E, then g is integrable on [a, b] and