Integrate the Function $$\int \frac { x ^ { 2 } } { \left( x ^ { 2 } - 1 \right) ^ { 5 / 2 } } d t$$

question 409

Multiple Choice

Integrate the function.
- $$\int \frac { x ^ { 2 } } { \left( x ^ { 2 } - 1 \right) ^ { 5 / 2 } } d t$$

• A) \(- \frac { x ^ { 2 } } { 3 \left( x ^ { 2 } - 1 \right) ^ { 3 / 2 } } + C\)
• B) \(- \frac { x ^ { 3 } } { 3 \left( x ^ { 2 } - 1 \right) ^ { 3 / 2 } } + C\)
• C) \(- \frac { x ^ { 3 } } { 3 \left( x ^ { 2 } - 1 \right) ^ { 1 / 2 } } + C\)
• D) \(- \frac { x } { 3 \left( x ^ { 2 } - 1 \right) ^ { 5 / 2 } } + C\)

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