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## Homework Statement

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

## Homework Equations

y = x^2 +1 , y = 9-x^2: about y = -1

## The Attempt at a Solution

I used disks. I said that r = 1 + ((9-x^2)-(x^2 +1 )) = 9 - 2x^2

So my integral all together is

V = ∏ ∫ (9 - 2x^2)^2 dx from [-2,2]

Does this set up look correct.?