So, how to solve this integral. I tried to solve it, but solution doesn't fit solution that my classmates got, nobody go the same result, any help?

$\displaystyle y= \sqrt{2} -x$

$\displaystyle x^{2} + y^{2} =\sqrt{2}$

$\displaystyle x\geq 0$

$\displaystyle y=x^{2} $

btw, these are the functions we have. and i know how to sketch it, but the borders of integral may be a problem