Question

find the volume of the solid formed by revolving the given region about the x - axis.

y=x^2
y=1
x=2

Answer 1

Not well-defined. Is that y=1 supposed to be a lower bound (i.e. the left edge?)

Answer 2

If what you are looking for is the region bounded by y=0, y=x^2, x=1, and x=2 revolved about y=0, then I think the volume works out to be 31pi/5, but should probably double-check that..