Evaluate the integral:\(\int \frac{x^2\left(x \sec ^2 x+\tan x\right)}{(x \tan x+1)^2} d x\)

\(-\frac{x^2}{x \tan x+1}\)

\(2 \log _e|x \sin x+\cos x|+C\)

\(-\frac{x^2}{x \tan x+1}+2 \log _e|x \sin x+\cos x|+C\)

\(-\frac{x^2}{x \tan x+1}-2 \log _e|x \sin x+\cos x|+C\)