Evaluate the following: $\displaystyle\int\frac{x^2dx}{x^4-x^2-12}$

Question

$\begin{array}{1 1}(A)\;\large\frac{1}{7}\log \large\frac{|x-2|}{|x+2|}-\frac{\sqrt 3}{7} \tan ^{-1} \bigg(\large\frac{x}{\sqrt 3}\bigg)+c \\ (B)\;\large\frac{1}{7} \log \large\frac{|x-2|}{|x+2|}+\frac{\sqrt 3}{7} \tan ^{-1} \bigg(\large\frac{x}{\sqrt 3}\bigg)+c \\ (C)\;\large\frac{1}{7} \log \large\frac{|x-2|}{|x+2|}+\frac{ 3}{\sqrt 7} \tan ^{-1} \bigg(\large\frac{x}{\sqrt 3}\bigg)+c \\ (D)\;\large\frac{1}{7} \log \large\frac{|x-2|}{|x+2|}-\frac{3}{\sqrt 7} \tan ^{-1} \bigg(\large\frac{x}{\sqrt 3}\bigg)+c\end{array} $