Viva La Revolucion!

Calculus Level 3

The volume of the solid formed by revolving the curve

y=1x1x+1y= \frac{1}{\sqrt{x}} - \frac{1}{\sqrt{x+1}}

bounded between x=18x = \frac{1}{8} and x=916x=\frac{9}{16} around the xx-axis is in the the form AπlnBC.A \pi \ln{\frac{B}{C}}.

If AA and BB are square-free, what is the value of A×B×C?A \times B \times C?


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