If n is a positive integer and [x] is the greatest integer not exceeding x, then \[\int_{0}^{n}{\,\,\{x-[x]\}\,dx}\] equals

If n is a positive integer and [x] is the greatest integer not exceedi

1.	If n is a positive integer and [x] is the greatest integer not exceeding x, then \[\int_{0}^{n}{\,\,\{x-[x]\}\,dx}\] equals
A.	\[{{n}^{2}}/2\]
B.	\[n(n-1)/2\]
C.	\[n\,/\,2\]
D.	\[\frac{{{n}^{2}}}{2}-n\]
Answer» D. \[\frac{{{n}^{2}}}{2}-n\]

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If n is a positive integer and [x] is the greatest integer not exceeding x, then \[\int_{0}^{n}{\,\,\{x-[x]\}\,dx}\] equals

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