The left, right, trapezoidal, and midpoint rule approximations were used to estimate ∫₀² f(x) dx, where f is the function whose graph is shown. The estimates were 0.7811, 0.8690, 0.8631, and 0.957, and the same number of subintervals were used in each case.
(a) Which rule produced which estimate?
Ln = .957
Rn = 0.7812
Tn = .8688
Mn = .8631
(b) Between which two approximations does the true value of ∫₀² f(x) dx lie?
.8631 (smaller value)
.8681 (larger value)