1) Consider the region R bounded by:
x=4-y^2 and x=sqrt(4-y^2)
Find the volume of the solid that results when R is rotated about the y-axis.
2) Consider the region X bounded by:
x=1, y=2-x, and y=2e^x
Find the volume of the solid that results when X is rotated about the line x=2.
I just need help setting up the integrals, I can easily compute them. Thanks a bunch!