Problem 8. (1 point) Estimate So f(x)g'(x) dx if f(x) = x and g(x) has the values given in the following table. (Note that one way to estimate the integral would be to assume that g(x) is a constant, or a linear function be- tween the two endpoints; generate a more accurate estimate than that by using the provided table of data.) 0 0.5 1.5 2 2.5 3 1.4 2.1 2.2 2.6 3.2 4.1 4.2 So f(x)8 (x) dx = Answer(s) submitted:Problem 3. (1 point) Find the integral. e J.x sin(2x)dx = Answer(s) submitted