The graph of the function f(x) = √1 - x² on the interval -1 ≤ x ≤ 1 is a semicircle. The area under the graph is 1/2 π(1)² = π/2 = 1.57080, to five decimal places. Use a Riemann sum with n = 5 and midpoints to estimate the area under the graph. See Fig. 15. Carry out the calculations to five decimal places and compute the error (the difference between the estimate and 1.57080).

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-1 Figure 15 y 1 y = √1 √1-x 0 1 X