Chapter 8, Problem 47RE

What is the volume of the solid below? (1, 1) y=x y=x (0, 0)

Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = 6/(x2),  y = 0,  x = 1,  x = 3 (a) the x-axis (b) the y-axis (c) the line y = 6

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y = 4x² and 2x+y = 6 about the X-axis. Volume =