Question

Take the region between the curves y = x and y = x^2 and revolve it around the line y = 2. Show work. the answer is (8*pi)/15

Answer 1

lets find the limits of integration:

x=x^2
x^2-x=0
x(x-1)=0
which means x=0 and x=1

Answer 2

yep got that

Answer 3

so the graph looks something like this: