The value of the integral $$\int_0^1 x\cot^{-1}(1 - x^2 + x^4) dx$$ is:

A

$$\frac{\pi}{4} - \frac{1}{2}\log_e 2$$

B

$$\frac{\pi}{4} - \log_e 2$$

C

$$\frac{\pi}{2} - \log_e 2$$

D

$$\frac{\pi}{2} - \frac{1}{2}\log_e 2$$