You are given the four points in the plane A = (4,6), B = (9,-3), C = (12,6), and D = (16,-8). The graph of the function f(x) consists of the three...

You are given the four points in the plane A = (4,6), B = (9,-3), C = (12,6), and D = (16,-8). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral displaystyle int_{4}^{16} f(x),dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures.