The region in the -plane is enclosed by the curves and together with the horizontal…

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

Problem

The region in the

xy

-plane is enclosed by the curves

x=y^{2}

and

x=y+2

together with the horizontal lines

y=0

and

y=3

. Calculate the area of this region. (a)

5

(b)

\dfrac{31}{6}

(c)

\dfrac{35}{6}

(d)

\dfrac{9}{2}