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For real $\alpha$, the value of $\int_{\alpha}^{\alpha+1} [x]dx$, where $[x]$ denotes the largest integer less than or equal to $x$, is

1. $\alpha$
2. $[\alpha]$
3. $1$
4. $\dfrac{[\alpha] + [\alpha +1]}{2}$
in Calculus
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0
B?