\( \int_{0}^{x}[\sin t] d t \) where \( x \in(2 n \pi,(4 n+1) \pi, n \in N \) and [.] denotes th...

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\( \int_{0}^{x}[\sin t] d t \) where \( x \in(2 n \pi,(4 n+1) \pi, n \in N \) and [.] denotes the greatest
\( P \) integer function is equal to.

W.
(A) \( -n \pi \)
(B) \( \quad-(n+1) \pi \)
(C) \( -2 n \pi \)
(D) \( -2(n+1) \pi \)
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