The volume V obtained by rotating a function y=f(x) around the x-axis (for a ≤ x ≤ b {\displaystyle a\leq x\leq b} ) is V = ∫ a b π [ f ( x ) ] 2 d x . {\displaystyle V=\int _{a}^{b}\pi [f(x)]^{2}dx.}
![{\displaystyle V=\int _{a}^{b}\pi [f(x)]^{2}dx.}](https://wiki.ubc.ca/api/rest_v1/media/math/render/svg/5e89fbd34193587248991efd1935008dcf179cad)