Solve in $ \mathbb{R}$ the equation $ \left| x -\frac{\pi}{6} \right|+\left| x+\frac{\pi}{3} \right|=\arcsin \frac{x^3-x+2}{2}.$
Source: Ukraine 2005 grade 11
Tags: algebra unsolved, algebra
Solve in $ \mathbb{R}$ the equation $ \left| x -\frac{\pi}{6} \right|+\left| x+\frac{\pi}{3} \right|=\arcsin \frac{x^3-x+2}{2}.$