In the following exercises, graph the function then use a calculator or a computer program to evaluate the following left and right endpoint sums. Is the area under the curve between the left and the right endpoint sums?
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Use the calculator to
estimate the area under the curve by computing
the average of the left-and right-endpoint Riemann sums using N=10 rectangles.
Then, using the Fundamental Theorem of Calculus, part 2, determine the exact area.
In the following exercises, use a calculator at a computer program to evaluate the endpoints sums and for N = 1, 10, 100
53. explain why, if and f is increasing on [a,b], that the left endpoints estimate is a lower bound for the area below the graph of f on [a, b]
