\int_{}^{}\frac{sinx}{3\times^{3}\sqrt{cos^2x}}dx=\int_{}^{}sinx\times(cosx)^{-\frac{2}{3}}dx=-\int_{}^{}(-sinx)\times(cosx)^{-\frac{2}{3}}dx=-\left[\frac{(cosx)}{\frac{1}{3}}^{\frac{1}{3}}+C\right]=-3\times^{3}\sqrt{cosx}+C