For , the region bounded above by the -axis and below by the curve is revolved about…

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

Problem

For

1\le x\le e

, the region bounded above by the

x

-axis and below by the curve

y=\ln x

is revolved about the horizontal line

y=5

. For a fixed value of

x

[1,e]

, what is the distance from the axis of revolution to the curve

y=\ln x

that is used as a radius in setting up a washer integral? (a)

\sqrt{5-\ln x}

(b)

\ln x-5

(c)

5-\ln x

(d)

5+\ln x