5 Following the Antiderivative and Definite Integrals conjecture in Sect 4.4, we have dx = -2, because 1 2;le., F(x) = f(x), where F(x) = - , and F(-1) - F(1) =-2. dx x X x 6 [ f(t) dt is a function of x, where x is a variable (i.e., x is not a fixed constant). 7 _T_ 10 - dx can be estimated by using a Riemann sum. x 8 F Riemann sum approach is applicable only when the function is positive. 9 F A definite integral exists as long as it is continuous, and bounded over the interval of interest 10 For a definite integral | f(t)dt to exist, the function f must be differentiable over the interval [1, x]. 11 if m