Evaluate $\int \frac { \cos x } { 4 + \sin ^ { 2 } x } d x$

Evaluate $\int \frac { \cos x } { 4 + \sin ^ { 2 } x } d x$

A) $\tan ^ { - 1 } \left( \frac { \sin x } { 2 } \right) + C$
B) $\frac { 1 } { 2 } \tan ^ { - 1 } \left( \frac { \sin x } { 2 } \right) + C$
C) $\frac { 1 } { 2 } \tan ^ { - 1 } ( \sin x ) + C$
D) $\frac { 1 } { 2 } \tan ^ { - 1 } \left( \frac { \cos x } { 2 } \right) + C$
E) $\frac { 1 } { 4 } \tan ^ { - 1 } \left( \frac { \sin x } { 2 } \right) + C$
F) $\ln \left( \frac { \sin x } { 2 } \right) + C$
G) $2 \tan ^ { - 1 } \left( \frac { \sin x } { 2 } \right) + C$
H) $\frac { 1 } { 2 } \ln \left( \frac { \sin x } { 2 } \right) + C$

Correct Answer:

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