1. (10 points) Integrate the following: (a) fx2 vx3 + 5 dx (b) S cos (3x) dx 2. (10 points) Integrate the following: (a) S- x2-2x+1 dx x+1 (b) S sec2(3x) dx 3. (10 points) Integrate the following using the integral tables in http://scidiv.bellevuecollege.edu/dh/Calculus_all/CalculusRefFacts (a) S sec(3x) dx (b) S sin2(2x) dx 4. (10 points) Given the two functions y1 = g(x) = x4+ 7x y2 = f(x) = -x (a) Plot the two curves on a graph. (b) What are the two points of intersection of the two functions? (c) Using the area formula A = SoIf (x) - g(x)]dx to find the area enclosed by the two curves