Let be the region bounded by and for

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

Problem

Let

R

be the region bounded by

y = 4 - x^{2}

and

y = 1

for

-\sqrt{3} \le x \le \sqrt{3}

. Write, but do not evaluate, a definite integral whose value gives the volume of the solid obtained when

R

is revolved about the line

y = -2