Solve the Problem by Integration $y = \frac { 6 } { x ^ { 4 } + 4 x ^ { 2 } + 3 }$

question 137

Multiple Choice

Solve the problem by integration.
-Find the volume generated by revolving the first-quadrant area bounded by $y = \frac { 6 } { x ^ { 4 } + 4 x ^ { 2 } + 3 }$ and $x = 5$ about the $y$ -axis.

• A) \(3 \pi \ln \frac { 39 } { 14 }\)
• B) \(3 \pi \ln 2184\)
• C) \(\frac { 3 } { 2 } \pi \ln 2184\)
• D) \(6 \pi \ln \frac { 39 } { 14 }\)

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