[SOLVED] volume by cylindrical shell

I originally posted this in Calculus section and I don't know how to delete it. Can someone do that for me please? I'm getting close to my deadline, so I really need someone to check that I have my integral set up correctly. I can not get the right answer

Bounding curves:

$\displaystyle y = 8 - x^2 $ and $\displaystyle y = x^2$

Find volume of region bounded by these curves when rotated about x = 2

I wrote my integral as:

$\displaystyle \int\limits_{-2}^{2} (2-x)((8-x^2)-(x^2)) dx$

Look okay?