Viva La Revolucion!
Calculus
Level
3
The volume of the solid formed by revolving the curve
\[y= \frac{1}{\sqrt{x}} - \frac{1}{\sqrt{x+1}}\]
bounded between \(x = \frac{1}{8}\) and \(x=\frac{9}{16}\) around the \(x\)-axis is in the the form \(A \pi \ln{\frac{B}{C}}.\)
If \(A\) and \(B\) are square-free, what is the value of \(A \times B \times C?\)
by
Steven Zheng