For any \( n \in N \) and \( x \in R^{+} \), the value of the integral \[ \int_{0}^{n[x]}(x-[x])...

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For any \( n \in N \) and \( x \in R^{+} \), the value of the integral
\[
\int_{0}^{n[x]}(x-[x]) d x, \text { is }
\]
(A) \( n[x] \)
(B) \( [x] \)
(C) \( \frac{n}{2}[x] \)
(D) none of these
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