$\max _\limits{0 \leq x \leq \pi}\left\{x-2 \sin x \cos x+\frac{1}{3} \sin 3 x\right\}=$

Question

$\frac{5 \pi+2+3 \sqrt{3}}{6}$

$\frac{\pi+2-3 \sqrt{3}}{6}$

$\pi$

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