The value of \[\int_{\pi }^{2\pi }{[2\sin x]\,dx,}\] where \[[\,\,.\,\,]\] represents the greatest integer function, is [IIT 1995]

The value of \[\int_{\pi }^{2\pi }{[2\sin x]\,dx,}\] where \[[\,\,.\,\

1.	The value of \[\int_{\pi }^{2\pi }{[2\sin x]\,dx,}\] where \[[\,\,.\,\,]\] represents the greatest integer function, is [IIT 1995]
A.	\[-\pi \]
B.	\[-2\pi \]
C.	\[-\frac{5\pi }{3}\]
D.	\[\frac{5\pi }{3}\]
Answer» D. \[\frac{5\pi }{3}\]

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The value of \[\int_{\pi }^{2\pi }{[2\sin x]\,dx,}\] where \[[\,\,.\,\,]\] represents the greatest integer function, is [IIT 1995]

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