The region bounded by and is revolved about the line

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

Problem

The region bounded by

x = y^{2}

and

x = 6 - y^{2}

is revolved about the line

x = -1

. Write, but do not evaluate, a definite integral with respect to

y

that gives the volume of the resulting solid.