Let I = ∫⁴₀ f(x) dx, where f is shown in the figure. Let L(n) and R(n) represent the Riemann sums using the left-hand endpoints and right-hand endpoints of n subintervals of equal width. (Assume n is even.) Let T(n) and S(n) be the corresponding values of the Trapezoidal Rule and Simpson’s Rule.

(a) For any n, list L(n), R(n), T(n), and I in increasing order.(b) Approximate S(4).

4 3. 2+ 1 2 3 X