Solve the Problem by Integration $y = \frac { x } { ( x + 2 ) ^ { 2 } }$

question 397

Multiple Choice

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

• A) \(\frac { 1 } { 96 } \pi\)
• B) \(\frac { 1 } { 48 } \pi\)
• C) \(\frac { 1 } { 24 } \pi\)
• D) \(\frac { 1 } { 12 } \pi\)

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