2-2-min-x-x-x-x-dx-equals-x-represents-greatest-integer-less-than-or-equal-to-x-

Question Number 54032 by qw last updated on 28/Jan/19

$$\underset{−\mathrm{2}\:} {\overset{\mathrm{2}} {\int}}\:\mathrm{min}\:\left({x}−\left[{x}\right],\:−{x}−\left[−{x}\right]\right){dx}\:\mathrm{equals}\:\left[{x}\right] \\ $$$$\mathrm{represents}\:\mathrm{greatest}\:\mathrm{integer}\:\mathrm{less}\:\mathrm{than}\:\mathrm{or} \\ $$$$\left.\mathrm{equal}\:\mathrm{to}\:{x}\right). \\ $$

Commented by tanmay.chaudhury50@gmail.com last updated on 28/Jan/19