Question

Integrate ${\int }_0^{2010}\left(x-\left[x\right]\right)dx$

Answer 1

${\int }_0^{2010}(x-[x\left]\right)dx$

$2010{\int }_0^1\left[x\right]dx$

$2010.{\left(\frac{x^2}{2}\right)}_0^1$

$2010\times \frac{1}{2}$

$1005$