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\(\max _{0 \leq x \leq \pi}\left\{x-2 \sin x \cos x+\frac{1}{3} \sin 3 x\right\}=\) [JEE Main 2023, 13 Apr (Shift 1)]

Q1

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

[JEE Main 2023, 13 Apr (Shift 1)]

a

\(\frac{5 \pi+2+3 \sqrt{3}}{6}\)

b

\(\frac{\pi+2-3 \sqrt{3}}{6}\)

c

\(\pi\)

d

0

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