Find the integrals: 1. Find the area of the region enclosed by the curves y = -, y = x, and y = x, using (a) x as the variable of integration and (b) y as the variable of integration. 2. Find the volume of the solid obtained by rotating the region bounded by y = x3 , y = 8 and x = 0 about the y-axis. 3. The region R is enclosed by the curves y = x and y = x2, find the volume of the solid obtained by rotating the region R about the line y = 2