Originally Posted by
abk6690 a. Suppose that f is bounded on [a, b], and that a is a function such that integral from [a b] of fdα exists. We will show directly that the integral from [a b] of f^2dα exists exists.
Let P be a partition of [a, b], and let M and m be the maximum and minimum, respectively of f on [x, x]. Then
U(f, p, ) – L(f, P, ) =
, where M = _______
Explain how this implies that the integral from [a b] of f^2dα exists
(5 points) b. If the integral from [a b] of f2dα exists does it follow that integral from [a b] of fdα exists? Prove this or give a counter example.