$\text { Find the indefinite integral by making the substitution } x = 7 \sin \theta \text {. }$

question 71

Multiple Choice

$\text { Find the indefinite integral by making the substitution } x = 7 \sin \theta \text {. }$ $$\int \frac { x } { \left( 49 - x ^ { 2 } \right) ^ { 3 / 2 } } d x$$

• A) \(\frac { 1 } { \sqrt { 49 - x ^ { 2 } } } + C\)
• B) \(\frac { 3 } { 2 \sqrt { 49 - x ^ { 2 } } } + C\)
• C) \(- \frac { 3 } { 2 \sqrt { 49 - x ^ { 2 } } } + C\)
• D) \(\frac { 4 } { \sqrt { 49 - x ^ { 2 } } } + C\)
• E) \(\frac { 2 } { \sqrt { 49 - x ^ { 2 } } } + C\)

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