definite-integral

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

1) ${{n}^{2}}/2$

2) $n(n-1)/2$

3) $n\,/\,2$

4) $\frac{{{n}^{2}}}{2}-n$

Solution:

Explanation: No Explanation

Properties of definite integration

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