Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y=\\f\""15+X21 y=01 X=O, X=l S Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. y = 4 - 2x, y = 0, x = 0; about x = -1A solid is obtained by rotating the shaded region about the specified line. about the line x = -2 y =5 x2 y =5 x X NIK (a) Set up an integral to find the volume of the solid. 1/2 5x2 - 5x3+ 2 dx X (b) Evaluate the integral to find the volume of the solid