Let . The region bounded by the graph , the -axis, and the vertical lines and is…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

a>1

. The region bounded by the graph

y=\dfrac{3}{x(x+a)}

, the

x

-axis, and the vertical lines

x=1

and

x=2

is revolved about the line

y=-2

. Express the volume of the resulting solid as a function of

a