For , the curve lies on or to the left of the -axis. What is the area of the region…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For

-2 \le y \le 2

, the curve

x = y^{2} - 4

lies on or to the left of the

y

-axis. What is the area of the region between the curve and the

y

-axis on this interval? (a)

\dfrac{64}{3}

(b)

\dfrac{32}{3}

(c)

16

(d)

\dfrac{16}{3}