Let $D$ be the circular region in the first quadrant bounded by the lines $y=0,y=x$ and the circle $x^2+y^2=2.$ Set up iterated integrals for ${}_{D}f(x,y)dA$

a$)$ by expressing $D$ as a Type$-$I region.

$2$

b$)$ by expressing $D$ as a Type$-$II region.