The region between f(x)\displaystyle {f{{\left({x}\right)}}} and the x\displaystyle {x}-axis between a\displaystyle {a} and b\displaystyle {b} is rotated around the x\displaystyle {x}-axis to form a solid. Represent the volume of this solid as a definite integral. Use exact values.







Volume =ab\displaystyle ={\int_{{{a}}}^{{{b}}}} dx\displaystyle {\left.{d}{x}\right.}