Mathematics

Problem

Which of the following definite integrals equals the volume of the solid generated when the region bounded by the graph of

y=2x

and the

x

–axis on the interval

0\le x\le 3

is revolved about the

x

–axis? a)

\pi\int_{0}^{3} 2x\,dx

\pi\int_{0}^{3} x^{2}\,dx

\pi\int_{0}^{3} (2x)^{2}\,dx

2\pi\int_{0}^{3} x(2x)\,dx