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MCQMediumJEE Main 2023 · 13 April, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2023 · 13 April, Shift 1

Find the maximum value of the function

max⁡0≤x≤π{x−2sin⁡xcos⁡x+13sin⁡3x}\max_{0 \le x \le \pi}\left\{ x - 2\sin x\cos x + \frac{1}{3}\sin 3x \right\}
  • A

    00

  • B

    π\pi

  • C

    5π+2+336\frac{5\pi + 2 + 3\sqrt{3}}{6}

  • D

    π+2−336\frac{\pi + 2 - 3\sqrt{3}}{6}

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