The region bounded by and for is revolved about the line

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

Problem

The region bounded by

x = y

and

x = y^{2}

for

0 \le y \le 4

is revolved about the line

x = -1

. Write, but do not evaluate, a definite integral expression, expressed as the sum of two integrals, that gives the exact volume of the solid formed.