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Question - Given f(x) > 0 with f'(x) < 0, and f''(x) > 0 for all x in the interval [0, 2] with f(0) = 1 and f(2) = 0.2, the left, right, trapezoidal, and midpoint rule approximations were used to estimate 0∫2f(x)dx. The estimates were 0.7811, 0.8675, 0.8650, 0.8632 and 0.9540, and the same number of subintervals were used in each case. Match the rule to its estimate.
1. trapezoidal a 0.9540
2. left endpoint b. 0.7811
3. actual area c. 0.8632
4. right endpoint d. 0.8675
5. midpoint e. 0.8650
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