If you wanted to rotate f(x) around the y axis from x=a to x=b then the volume would be
that would be
1/x^10=x^-10
integrate
-1/(9x^9)
so
=
![\pi [\frac{-1}{9x^{9}}]^8_1=\pi (\frac{-1}{9(8^{9})}-\frac{-1}{9(1^{9})})=](https://tex.z-dn.net/?f=%5Cpi%20%5B%5Cfrac%7B-1%7D%7B9x%5E%7B9%7D%7D%5D%5E8_1%3D%5Cpi%20%28%5Cfrac%7B-1%7D%7B9%288%5E%7B9%7D%29%7D-%5Cfrac%7B-1%7D%7B9%281%5E%7B9%7D%29%7D%29%3D)
that's the volume of the solid
that would be
1/x^10=x^-10
integrate
-1/(9x^9)
so
that's the volume of the solid