（10河南）累次积分 $\int_{0}^{2} \mathrm{~d} x \int_{-\sqrt{2 x-x^{2}}}^{\sqrt{2 x-x^{2}}} f(x, y) \mathrm{d} y$ 写成另一种次序的积分是
A. $\int_{0}^{1} \mathrm{~d} y \int_{-y}^{y} f(x, y) \mathrm{d} x$
B. $\int_{0}^{2} \mathrm{~d} y \int_{-\sqrt{2 y-y^{2}}}^{\sqrt{2 y-y^{2}}} f(x, y) \mathrm{d} x$
C. $\int_{-1}^{1} \mathrm{~d} y \int_{-\sqrt{1-y^{2}}}^{\sqrt{1-y^{2}}} f(x, y) \mathrm{d} x$
D. $\int_{-1}^{1} \mathrm{~d} y \int_{1-\sqrt{1-y^{2}}}^{1+\sqrt{1-y^{2}}} f(x, y) \mathrm{d} x$