The value of \( \int_{\pi}^{2 \pi}[2 \sin x] d x \) where [ ] repre...

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The value of \( \int_{\pi}^{2 \pi}[2 \sin x] d x \) where [ ] represents the greatest integer function is :
\( \mathrm{P} \)
(a) \( -\frac{5 \pi}{3} \)
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(b) \( -\pi \)
(c) \( \frac{5 \pi}{3} \)
(d) \( -2 \pi \)
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