If $$\int_0^2 \left(\sqrt{2x} - \sqrt{2x - x^2}\right)dx = \int_0^1 \left(1 - \sqrt{1-y^2-\frac{y^2}{2}}\right)dy + \int_1^2 \left(2 - \frac{y^2}{2}\right)dy + I$$, then $$I$$ equal to

A

$$\int_0^1 (1 + \sqrt{1-y^2}) dy$$

B

$$\int_0^1 \left(\frac{y^2}{2} - \sqrt{1-y^2} + 1\right) dy$$

C

$$\int_0^1 (1 - \sqrt{1-y^2}) dy$$

D

$$\int_0^1 \left(\frac{y^2}{2} + \sqrt{1-y^2} + 1\right) dy$$