The curves and intersect at and

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The curves

y = x^{2}

and

y = 2x

intersect at

x = 0

and

x = 2

. Determine a definite integral with respect to

x

that represents the volume of the solid obtained when the region they enclose is revolved about the

x

-axis. Do not evaluate the integral.