WeBWorK Standalone Renderer

The volume of the solid obtained by rotating the region bounded by $y = x^2, \qquad y = 3 x,$ about the line $x = 3$ can be computed using the method of washers via an integral

$\displaystyle V = \int_a^b$

with limits of integration $a =$ and $b =$ .

The volume of this solid can also be computed using cylindrical shells via an integral

$\displaystyle V = \int_\alpha^\beta$

with limits of integration $\alpha =$ and $\beta =$ .

In either case, the volume is $V =$ cubic units.