Calculate the area of the region bounded by the curves (left), (right) and the lines and .

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

Problem

Calculate the area of the region bounded by the curves

x = y^{2} + 1

(left),

x = 5

(right) and the lines

y = 0

and

y = 2

. (a)

\dfrac{8}{3}

(b)

\dfrac{32}{3}

(c)

\dfrac{16}{3}

(d)

\dfrac{22}{3}