The value of the integral : \(\int \frac{\sin \theta \sin 2\theta \left({\sin }^{6}\theta +{\sin }^{4}\theta +{\sin }^{2…

\(\frac{1}{18}{\left[9-2{\sin }^{6}\theta -3{\sin }^{4}\theta -6{\sin }^{2}\theta \right]}^{\frac{3}{2}}+c\)

\(\frac{1}{18}{\left[11-18{\cos }^{2}\theta +9{\cos }^{4}\theta -2{\cos }^{6}\theta \right]}^{\frac{3}{2}}+c\)

\(\frac{1}{18}{\left[11-18{\sin }^{2}\theta +9{\sin }^{4}\theta -2{\sin }^{6}\theta \right]}^{\frac{3}{2}}+c\)

\(\frac{1}{18}{\left[9-2{\cos }^{6}\theta -3{\cos }^{4}\theta -6{\cos }^{2}\theta \right]}^{\frac{3}{2}}+c\)