The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate ∫2 f(x) dx, where f is the function whose graph is shown. The estimates were 0.7811, 0.8675, 0.8632, and 0.9540, and the same numbers of subintervals were used in each case.
(a) Which rule produced which estimate?
(b) Between which two approximations does the true value of ∫2 f(x) dx lie?

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1. y= f(x) 2