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JEE Math Practice Question

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

  1. A.$$\frac{5 \pi+2+3 \sqrt{3}}{6}$$
  2. B.0
  3. C.$$\frac{\pi+2-3 \sqrt{3}}{6}$$
  4. D.$$\pi$$

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