8.1 Improper Integrals Contemporary Calculus 10 sin(x) 30. The volume obtained when the area between the y= X sin(x) x-axis for x 2 1 and the graph of f(x) = X (Fig. 12) is revolved about the x-axis. 31. (a) The volume obtained when the area between the Fig. 12 positive x-axis (x20) and the graph of