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Problem 12: Let g(x) = Sof) dt, where f is the function whose graph is shown in the figure. Estimate g(0.8(2), 8(4), 8(6), an

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during the period g(x) (f(t) dt Geometrically, g(x) is the area under the awwe fit) period ost<x 90 f(t) dt = 0 +(6) Two rect4 5 6 9 (6) = f(t) dt = f(t) dt + 4. af (t) 916) = g(4) + f(t) dt 4 = 9-3x2x1 area of triangle 966) = 8 but on negative side

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