Find (2x3 - 6x + 5 dx and interpret the result in terms of areas. x 2 + 1 Solution The Fundamental Theorem gives ( 2x3 - 6x + 2 + 5 dx = 2x* - 6X + 5 tan -1(x) 4 2 Jo - 3x2 + 5 tan -1(x) Jo 1(24) - 3(22 ) + 5 tan -1(2) - + 5 tan (2). This is the exact value of the integral. If a decimal approximation is desired, we can use a calculator to approximate tan (2). Doing so, we get dx = (Round your answer to four decimal places.) The figure below shows the graph of the integrand. We know that the value of the integral can be interpreted as a net area: the sum of the areas labeled with a plus sign minus the area labeled with a minus sign