Having an issue with a volume problem, was hoping I could get some help, please. I've got everything figured out on this one, except the limits of integration:

y=2, y=9-X^2 Rotated about y=-1

Normally, I would figure out the points on intersection by setting

9-X^2=2.

Solving this gives me X= +/- Square Root of 7. But when I set my limits to [-sqrt_7,+sqrt_7] they were marked as wrong.

What gives?