You are given the four points in the plane A = (0,-7), B = (2,3), C = (7,-5), and D = (11,1). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral \displaystyle \int_{0}^{11} f(x)\,dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures.
\displaystyle \int_{0}^{11} f(x)\,dx =

Question

You are given the four points in the plane A = (0,-7), B = (2,3), C = (7,-5), and D = (11,1). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral \displaystyle \int_{0}^{11} f(x)\,dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures.
\displaystyle \int_{0}^{11} f(x)\,dx =

anonymous · Answer

I only have half an hour to figure this out so if anyone can help!