Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. If f is a constant function on the interval [a, b], then the right and left Riemann sums give the exact value of Integral a b f(x)dx, for any positive integer n. If f is a linear function on the interval [a, b], then a midpoint Riemann sum gives the exact value of Integral a b f(x) d x, for any positive integer n.