Region is bounded by ,

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

Problem

Region

R

is bounded by

x = y + 6

x = 9 - y^{2}

, and the horizontal lines

y = -3

and

y = 3

. Write, but do not evaluate, a single expression involving definite integrals with respect to

y

whose value equals the area of

R