9.1.16 Double integrals

Problem: Change the order of integration in iterated integral: \[ I=\int_{-\sqrt{2}}^{-1} d x \int_{-\sqrt{2-x^{2}}}^{0} f(x, y) d y+\int_{-1}^{0} d x \int_{x}^{0} f(x, y) d y . \]