Review of Accumulation and Rates he integral of a rate of change gives the net change. The general form of the equation is ] (x) = f(x)+ f'(1)dt, x = x, is the initial time, and f(x) is the initial value. Xo Since this is one of the main interpretations of the definite integral the concept may come up in a variety of situations. What you should know how to do: Understand the equation. It is often not necessary to do as much computation as it seems at first. The FTC may help differentiating F. Often these problems contain a lot of writing; be ready to read and apply. Explain the meaning of a derivative or definite integral or its value in terms of the context of the problem. In-out problems: 2 rates of change work together but in opposite directions. Max/min and inc/dec analysis. Explain the meaning of a definite integral in context. The explanation should include (1) what the integral gives, (2) the units and (3) an accounting of the limits of integration. 1. Consider G(x) = [In (1+1) di . 2 a. G(x) has an x-intercept at x= b. For what values of x is G(x)