$\displaystyle y=$$\displaystyle \sqrt{-x^3+x}$

$\displaystyle (-x^3+x)\geq0$

$\displaystyle \equiv$$\displaystyle x(-x^2+1)\geq0$

$\displaystyle \equiv$$\displaystyle x\geq0\cap(x\geq-1\cap~x\leq1)$

Domain = $\displaystyle 0\leq~x\leq1$

Is that correct??

because in my calculator i have a domain = $\displaystyle ]\infty, 1]$