题目内容
（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
$\text{A.}$ $\int_{0}^{1} \mathrm{~d} y \int_{-y}^{y} f(x, y) \mathrm{d} x$
$\text{B.}$ $\int_{0}^{2} \mathrm{~d} y \int_{-\sqrt{2 y-y^{2}}}^{\sqrt{2 y-y^{2}}} f(x, y) \mathrm{d} x$
$\text{C.}$ $\int_{-1}^{1} \mathrm{~d} y \int_{-\sqrt{1-y^{2}}}^{\sqrt{1-y^{2}}} f(x, y) \mathrm{d} x$
$\text{D.}$ $\int_{-1}^{1} \mathrm{~d} y \int_{1-\sqrt{1-y^{2}}}^{1+\sqrt{1-y^{2}}} f(x, y) \mathrm{d} x$