4. Find the area of the shaded region by (i) integrating with respect to x (ii) integrating with respect to y 2=4x (4,4) (1,-2X y=2r-4 S 5. Use cylindrical shells to find the volume of the solid that is generated when the region that is enclosed by y = x, y = 1, x = 0 is revolved about the line y = 1. 6. i. Sketch one loop of the curve 9y = x(3x) ii. Find the area of the surface of revolution generated by one loop of the curve 9y2 = x(3x)2 about the y-axis. Leave your answer in the exact form. [15] [15] 1201