$$4\int_{0}^{1} \left(\frac{1}{\sqrt{3 + x^2}} + \frac{1}{\sqrt{1 + x^2}}\right)dx - 3\log_e(\sqrt{3})$$ is equal to :

A

$$2 + \sqrt{2} + \log_e(1 + \sqrt{2})$$

B

$$2 - \sqrt{2} - \log_e(1 + \sqrt{2})$$

C

$$2 + \sqrt{2} - \log_e(1 + \sqrt{2})$$

D

$$2 - \sqrt{2} + \log_e(1 + \sqrt{2})$$