You are given the four points in the plane 𝐴=(0,−6), 𝐵=(5,2), 𝐶=(7,−6), and 𝐷=(11,3)

Question

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

Answer 1

desmos.com/calculator/vizvqu3h95