Mathematics

Problem

The region bounded above by

y=x^{2}

and below by the

x

–axis for

0\le x\le 2

is the base of a solid. Cross sections taken perpendicular to the

x

–axis are squares. Which of the following integrals represents the volume

V

of the solid? a)

\displaystyle \int_{0}^{2} x^{2}\,dx

\displaystyle 2\int_{0}^{2} x^{4}\,dx

\displaystyle \int_{0}^{2} x^{4}\,dx

\displaystyle \int_{0}^{4} x^{4}\,dx