Evaluate the Integral $$\int \frac { d x } { \left( 16 - x ^ { 2 } \right) ^ { 2 } }$$

question 216

Multiple Choice

Evaluate the integral.
- $$\int \frac { d x } { \left( 16 - x ^ { 2 } \right) ^ { 2 } }$$

• A) \(\frac { 1 } { 32 } \left( \frac { x } { 16 - x ^ { 2 } } + \frac { 1 } { 8 } \ln \left| \frac { x + 4 } { x - 4 } \right| \right) + C\)
• B) \(\frac { 1 } { 8 } \ln \left| \frac { x + 4 } { x - 4 } \right| + C\)
• C) \(\frac { x } { 32 \left( 16 - x ^ { 2 } \right) } + C\)
• D) \(\frac { 1 } { 32 } \left( \frac { x } { 16 - x ^ { 2 } } - \frac { 1 } { 8 } \ln \left| \frac { x + 4 } { x - 4 } \right| \right) + C\)

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