Calculate the definite integral of a piecewise function (each piece a line segment) using geometry.
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Question: You are given the four points in the plane 𝐴=(0,−6), 𝐵=(5,2), 𝐶=(7,−6), and 𝐷=(11,3)
You are given the four points in the plane 𝐴=(0,−6)A=(0,−6), 𝐵=(5,2)B=(5,2), 𝐶=(7,−6)C=(7,−6), and 𝐷=(11,3)D=(11,3). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral ∫0 to 11f(x)dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures.∫0 to 11𝑓(𝑥)𝑑𝑥
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Written Explanation:
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