Region is bounded by the curve and the lines and

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

Problem

Region

R

is bounded by the curve

y=\sqrt{x}

and the lines

x=1

and

x=3

. When

R

is revolved about the

y

-axis, a student plans to integrate with respect to

x

. Which of the following expressions represents the outer radius of a typical washer in terms of

x

? (a)

x

(b)

3-x

(c)

3

(d)

\sqrt{x}