Let R = [a, b] Ã [c, d] be a two-dimensional rectangle and f: R R be bounded. a) Prove that for X = or

Let R = [a, b] × [c, d] be a two-dimensional rectangle and f: R †’ R be bounded.
a) Prove that

for X = ‹ƒ or X = L.
b) Prove that if f is integrable on R, then

c) Compute the two iterated integrals in part b) for

and R = [0, 1] × [0, 1]. Prove that f is not integrable on R.

eb ed .b ed -)fx, y) dy dx y EQ 1 0