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Math: Calculus

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You are given the four points in the plane A = (5,-6), B = (9,1), C = (14,-6), and D = (19,2). The graph of the
function f(x) consists of the three line segments AB, BC and CD. Find the integral f(x)dx from 5 to 19 by interpreting the integral in terms of sums and/or differences of areas of elementary figures.

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