\[\int{\frac{dx}{\sin x(3+{{\cos }^{2}}x)}}\] is equal to

• A. \[\log \left| {{y}^{2}}-1 \right|-{{\tan }^{-1}}y+C\]
• B. \[{{\tan }^{-1}}\frac{y}{\sqrt{3}}+C\]
• C. \[\log \left| \frac{y-1}{y+1} \right|+C\]
• D. \[\frac{1}{4}\log \left| \frac{y-1}{y+1} \right|-\frac{1}{4\sqrt{3}}{{\tan }^{-1}}\frac{y}{\sqrt{3}}+C\]