A solid is formed by revolving the region bounded by the graph of

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

Problem

y=\dfrac{x+1}{x+3}

, the

x

–axis, and the vertical lines

x=0

and

x=2

about the

y

–axis. What is the exact volume of this solid? (a)

2\pi\bigl(6\ln\dfrac{5}{3}\bigr)

(b)

2\pi\bigl(2+6\ln\dfrac{5}{3}\bigr)

(c)

2\pi\bigl(-2+6\ln\dfrac{5}{3}\bigr)

(d)

\pi\bigl(-2+6\ln\dfrac{5}{3}\bigr)