The value of the integral $$\int_0^2 \frac{\sqrt{x(x^2 + x + 1)}}{(\sqrt{x} + 1)(\sqrt{x^4 + x^2 + 1})} \, dx$$ is equal to :

A

$$\frac{1}{3}\log_e(3 - 2\sqrt{2})$$

B

$$\frac{2}{3}\log_e(4 + \sqrt{2})$$

C

$$\frac{2}{3}\log_e(3 + 2\sqrt{2})$$

D

$$\frac{1}{3}\log_e(1 + 6\sqrt{2})$$