9.1.9 Double integrals

Problem: Convert the double integral over the area \( G \) to the iterated integral in Cartesian and polar coordinates: \[ \iint_{(G)} f(x, y) d x d y \] \( (G) \) \[ G=\left\{(x, y) \mid 0 \leq y \leq 1, \frac{y^{2}}{3} \leq x \leq \sqrt{3-y^{2}}\right\} . \]