Evaluate: $\int_{0}^{2 π} [sin x] d x$ ,where\displaystyle{\left[{\dot}\right]} denotes the greatest integer function.

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Evaluate:

\int_{0}^{2 π} [sin x] d x

,where\displaystyle{\left[{\dot}\right]} denotes the greatest integer function.

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Question Text

Evaluate:

\int_{0}^{2 π} [sin x] d x

,where\displaystyle{\left[{\dot}\right]} denotes the greatest integer function.

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