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2. Use a Riemann sum to estimate the area between the graph of f(x) = x2 and the x-axis on the interval [0, 8] .
2. Use a Riemann sum to estimate the area between the graph of f(x) = x2 and the x-axis on the interval [0, 8] . Use four equal subintervals, and midpoints as your sampling points {ck } . Obtain a single number. f (x ) = x Ax = b - a = 8 - 0 = 2 ( width) n 4 x = [0, 2, 4, 6,8 ) 2 3 4 5 678 y= [ 0, 4, 16, 36, 647 A= 2 x 10 + 4 4+16 16+36- 36+64 2 2 2 2 Answer for 2. = 2x 2 + 10- 26+50 ) = 2x 88 = 176 Continued on the next page
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