Integrate the functions $$\frac{x+3}{x^2-2x-5}$$

Question

$\begin{array}{1 1} \frac{1}{2}\log|x^2-2x-5|+\frac{2}{\sqrt 6}\log\mid\frac{x-1-\sqrt 6}{x-1+\sqrt 6}\mid+c \\ \frac{1}{2}\log|x^2-2x-5|-\large \frac{2}{\sqrt 6}\log\mid\frac{x-1-\sqrt 6}{x-1+\sqrt 6}\mid+c \\ \frac{1}{2}\log|x^2-2x-5|+\large \frac{1}{\sqrt 3}\log\mid\frac{x-1-\sqrt 6}{x-1+\sqrt 6}\mid+c \\ \frac{1}{2}\log|x^2-2x-5|- \frac{2}{\sqrt 3}\log\mid\frac{x-1-\sqrt 6}{x-1+\sqrt 6}\mid+c \end{array}$