The integral $$16\int_1^2 \frac{dx}{x^3(x^2+2)^2}$$ is equal to

A

$$\frac{11}{6} + \log_e 4$$

B

$$\frac{11}{12} + \log_e 4$$

C

$$\frac{11}{12} - \log_e 4$$

D

$$\frac{11}{6} - \log_e 4$$