Suppose that a a) If f and g are Riemann integrable on [a, b], then f - g is Riemann integrable on [a, b].
b) If f is Riemann integrable on [a, b] and P is any polynomial on R, then P o f is Riemann integrable on [a, b].
c) If f and g are nonnegative real functions on [a, b], with f continuous and g Riemann integrable on [a,b], then there exist x0, x1, ˆˆ [a, b] such that

d)
If f and g are Riemann integrable on [a, b] and f is continuous, then there is an x0 ˆˆ [a, b] such that

eb eb f(x)g(x) dx=f(x0) | g(x) dx eh f(x)g(x) dx = f(x0) | g(x) dx.