The value of the integral $$\int_{-1}^{2} \log_e\left(x + \sqrt{x^2 + 1}\right) dx$$ is

A

$$\sqrt{5} - \sqrt{2} + \log_e\left(\frac{7 + 4\sqrt{5}}{1 + \sqrt{2}}\right)$$

B

$$\sqrt{5} - \sqrt{2} + \log_e\left(\frac{9 + 4\sqrt{5}}{1 + \sqrt{2}}\right)$$

C

$$\sqrt{2} - \sqrt{5} + \log_e\left(\frac{7 + 4\sqrt{5}}{1 + \sqrt{2}}\right)$$

D

$$\sqrt{2} - \sqrt{5} + \log_e\left(\frac{9 + 4\sqrt{5}}{1 + \sqrt{2}}\right)$$