$\text { Find the indefinite integral by making the substitution } x = 9 \sin \theta \text {. }$

question 56

Multiple Choice

$\text { Find the indefinite integral by making the substitution } x = 9 \sin \theta \text {. }$
$\int \frac { 9 } { x ^ { 2 } \sqrt { 81 - x ^ { 2 } } } d x$

• A) \(- \frac { \sqrt { 81 - x ^ { 2 } } } { 81 x ^ { 2 } } + C\)
• B) \(\frac { \sqrt { 81 - x ^ { 2 } } } { 81 x } + C\)
• C) \(- \frac { \sqrt { 81 - x ^ { 2 } } } { 81 x } + C\)
• D) \(-\frac{1}{81 x\left(81-x^{2}\right)^{3 / 2}}+C\)
• E)\(\frac{1}{81 x\left(81-x^{2}\right)^{3 / 2}}+C\)

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