MATH 1231 Review - 8 (sections 5.1, 5.2 and 5.6) (20 1. (a) Make a careful sketch of the region whose area is given by the definite integral: (400 - x2) dx. Jo Label the boundary curves and corner points of the region. Then shade the region. (b) Estimate the area of the region in part (a) using the 4 left rectangle approximation. Show work including a sketch which clearly shows the 4 left rectangles. 2. Suppose that G'(x) = g(x) for all a, and g(1) = 7, g(3) = 5, G(1) = 2 and G(3) = 19. Calculate g(x) dx. Show work. In problems 3 5, evaluate the given integral. Give numerical answers to four decimal places. Show all work. Use your calculator only to perform basic arithmetic. Do not use fnInt. 3. 4.03(1.05) " da 5. 7.26e-Out dx 6. The graph of the function g(x) below consists of a line segment between (0, -3) and (4, 3) and a line segment between (4, 3) and (10, -6). Compute g(x) dx. Show your work. 10 - 2