2. In this problem, you will find the volume of the solid obtained by rotating region A in Figure 2 about r-axis. y=x-+2 6 A 2 B X 2 Rogawski et al., Calculus, 4e, 2019 W. H. Freeman and Company Figure 2: The region A for Problem 2. (a) What should you choose for the interval [a, b]? What is the outer function f(a) ? What is the inner function g(x)? (b) Compute the volume using V = * / (f(x)2 - 9(x)2) dx