Let be the region bounded on the right by the vertical line and on the left by the curve

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

Problem

Let

R

be the region bounded on the right by the vertical line

x=4

and on the left by the curve

x = y^{2}+1

. What is the exact area of

R

? (a)

6\sqrt{3}

(b)

\dfrac{20}{3}

(c)

4\sqrt{3}

(d)

2\sqrt{3}