Integrate the Function $$\int \frac { y ^ { 2 } } { \left( 16 - y ^ { 2 } \right) ^ { 3 / 2 } } d y$$

question 81

Multiple Choice

Integrate the function.
- $$\int \frac { y ^ { 2 } } { \left( 16 - y ^ { 2 } \right) ^ { 3 / 2 } } d y$$

• A) \(\frac { y } { \sqrt { 16 - y ^ { 2 } } } + C\)
• B) \(\frac { y } { \sqrt { 16 - y ^ { 2 } } } - \sin ^ { - 1 } \left( \frac { y } { 4 } \right) + C\)
• C) \(\frac { 4 y } { \sqrt { 16 - y ^ { 2 } } } - \sin ^ { - 1 } y + C\)
• D) \(\sqrt { 16 - y ^ { 2 } } - \sin ^ { - 1 } \left( \frac { y } { 4 } \right) + C\)

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