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You are given the four points in the plane A = (6,1), B = (3,2), C = (1,8), and D = (2,5). The graph of the function f(x) consists of the three line...

You are given the four points in the plane A = (−6,1), B = (−3,−2), C = (−1,8), and D = (2,−5). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral ∫−62 f(x) dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures.

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