Question

You are given the four points in the plane A = (-4,3), B = (-1,8), C = (1,8), and D = (4,4). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral \displaystyle \int_{-4}^{4} f(x)\,dx by interpreting the integral in terms of sums of areas of elementary figures.

Answer 1

Integral is area under the curve so think of it as area between line segments and x axis

Answer 2

Okay but how do i do it?