Let and . The graphs of and enclose a finite region in the plane. Calculate the area…

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

Problem

Let

f(x)=x^{2}-4

and

g(x)=2x+2

. The graphs of

f

and

g

enclose a finite region in the plane. Calculate the area of this region. (a)

14\sqrt{7}

(b)

\displaystyle \frac{22}{3}\sqrt{7}

(c)

\displaystyle \frac{28}{3}\sqrt{7}

(d)

\displaystyle \frac{20}{3}\sqrt{7}