$\text { Find the integral } \int \frac { \sin x } { 13 + \cos ^ { 2 } x } d x \text {. }$

question 29

Multiple Choice

$\text { Find the integral } \int \frac { \sin x } { 13 + \cos ^ { 2 } x } d x \text {. }$

• A) \(- \frac { 1 } { 13 } \arctan ( \cos x \sqrt { 13 } ) + C\)
• B)\(- \sqrt { 13 } \arctan \left( \frac { \sqrt { 13 } } { 13 } \cos x \right) + C\)
• C)\(\sqrt { 13 } \arctan \left( \frac { \sqrt { 13 } } { 13 } \sin x \right) + C\)
• D) \(\frac { \sqrt { 13 } } { 13 } \arctan \left( \frac { \sqrt { 13 } } { 13 } \sin x \right) + C\)
• E) \(- \frac { \sqrt { 13 } } { 13 } \arctan \left( \frac { \sqrt { 13 } } { 13 } \cos x \right) + C\)

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