\[\int_{{}}^{{}}{\frac{dx}{(\sin x+\sin 2x)}=}\] [IIT 1984]

• A. \[\frac{1}{6}\log (1-\cos x)+\frac{1}{2}\log (1+\cos x)-\frac{2}{3}\log (1+2\cos x)\]
• B. \[6\log (1-\cos x)+2\log (1+\cos x)-\frac{2}{3}\log (1+2\cos x)\]
• C. \[6\log (1-\cos x)+\frac{1}{2}\log (1+\cos x)+\frac{2}{3}\log (1+2\cos x)\]
• D. None of these