Solve the Problem $x$ -Axis, the Curve $y = \sqrt { \frac { 7 x } { x ^ { 2 } + 1 } } , x = 1$

Multiple Choice

Solve the problem.
-Find the volume of the solid that is generated by revolving the area bounded by the $x$ -axis, the curve $y = \sqrt { \frac { 7 x } { x ^ { 2 } + 1 } } , x = 1$ , and $x = 8$ about the $x$ -axis.

A) $7 \pi \ln \left( \frac { 65 } { 2 } \right)$
B) $\frac { 7 } { 4 } \pi \ln \left( \frac { 65 } { 2 } \right)$
C) $\frac { 7 } { 2 } \pi \ln \left( \frac { 65 } { 2 } \right)$
D) $\frac { 7 } { 2 } \ln \left( \frac { 65 } { 2 } \right)$