Hi,

I just wanted to confirm that I got the correct answer for this problem:

The region bounded by y = x^ 3,x = 2, and y = −1 is revolved about the line y = −8. Find the volume.

I got the integral from x=-1 to x=2 of pi(x^3+8)^2-81pi

And my answer is 192pi/7.

Is this correct?

Thanks!