1.Consider the region bounded by the curve y = x 2 and y = 4x. a) Set up (but do not evaluate) an integral that gives the volume of the solid if this region is revolved around the x-axis b) Set up...

1.Consider the region bounded by the curve y = x²and y = 4x.

a) Set up (but do not evaluate) an integral that gives the volume of the solid if this region is revolved around the x-axis

b) Set up (but do not evaluate) an integral that gives the volume of the solid if this region is revolved around the y-axis.

c) Set up (but do not evaluate) an integral that gives the volume of the solid if this region is revolved around y = −2.

d) Set up (but do not evaluate) an integral that gives the volume of the solid if this region is revolved around x = 8.