$$\displaystyle\int{ { \sin }^{ 2 } \frac{ x }{ 2 } \cos \frac{ x }{ 2 } }d x$$
$\frac{2\left(\sin(\frac{x}{2})\right)^{3}}{3}+С$
$\cos(\frac{x}{2})\left(\sin(\frac{x}{2})\right)^{2}$
