1. For each of the following, compute U

(f, P), L

(f, P), and Iol f(x) dx, where P = {o,~,~,~, I}.

Find out whether the lower sum or the upper sum is a better approximation to the integral. Graph f and explain why this is so.

(a) f(x) = 1- x2 •

(b) f(x) = sin x.

(c) f(x) = x2 - X.