$$\displaystyle\int{ \sin 2 \frac{ x }{ 5 } \cos 3 \frac{ x }{ 5 } }d x$$
$\frac{5\cos(\frac{x}{5})}{2}-\frac{\cos(x)}{2}+С$
$\frac{-\sin(\frac{x}{5})+\sin(x)}{2}$
