Let be the set of all points satisfying and

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

Problem

Let

S

be the set of all points satisfying

-3 \le y \le 3

and

y^{2} \le x \le 8 - y^{2}

, except those with

|y| < 1

. Determine the exact area of

S