The region enclosed by and is revolved about the -axis

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

Problem

The region enclosed by

y = x^{2}

and

y = 4 - x^{2}

is revolved about the

x

-axis. Provide a definite integral in terms of

x

and a second definite integral in terms of

y

, each of which computes the volume of the resulting solid. Do not evaluate either integral.