Evaluate the following:$\displaystyle\int\frac{x^2dx}{(x^2+a^2)(x^2+b^2)}$

Question

$\begin{array}{1 1} (A)\;\large\frac{1}{a^2-b^2}\bigg[ a \;\tan ^{-1}(\large\frac{x}{a})+b\;\tan ^{-1} \large(\frac{x}{b})\bigg]+c \\(B)\;\large\frac{1}{a^2+b^2}\bigg[ a \;\tan ^{-1}(\large\frac{x}{a})- b\;\tan ^{-1} \large(\frac{x}{b})\bigg]+c \\ (C)\;\large\frac{1}{a^2-b^2}\bigg[ a \;\tan ^{-1}(\large\frac{x}{a})- b\;\tan ^{-1} \large(\frac{x}{b})\bigg]+c \\ (D)\;\large\frac{1}{a+b}\bigg[ a \;\tan ^{-1}(\large\frac{x}{a})- b\;\tan ^{-1} \large(\frac{x}{b})\bigg]+c \end{array} $