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You are given the four points in the plane A = (2,3), B = (7,6), C = (12,2), and D = (16,2). The graph of the function f(x) consists of the three...

You are given the four points in the plane A = (2,−3), B = (7,6), C = (12,−2), and D = (16,2). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral ∫162 f(x) dx by using a rule for integrals and interpreting the integral in terms of sums and/or differences of areas of elementary figures.

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