$3 x-\frac{1}{2} \log |3 \cos 2 x-4 \sin 2 x|+C$

$\frac{x}{2}-3 \log |3 \cos 2 x-4 \sin 2 x|+C$

$3 x+\frac{1}{2} \log |3 \cos 2 x-4 \sin 2 x|+C$

$x+\frac{3}{2} \log |3 \cos 2 x-4 \sin 2 x|+C$

$\frac{(2 x+1)}{4} \sqrt{x^2+x+1}+\frac{3}{8} \sinh ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+C$

$\frac{x+1}{4} \sqrt{x^2+x+1}+\frac{3}{8} \sinh ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+C$

$\frac{x+1}{4} \sqrt{x^2+x+1}-\frac{3}{8} \sinh ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+C$

$\frac{(2 x+1)}{4} \sqrt{x^2+x+1}-\frac{3}{8} \sinh ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+C$

$\frac{3}{2}$

$\frac{1}{2}$

1

2

$\frac{\cos x}{4(3 \cos x-4 \sin x)}+C$

$\frac{\sin x}{4(3 \cos x-4 \sin x)}+C$

$\frac{\cos x}{3 \cos x-4 \sin x}+C$

$\frac{\sin x}{3 \cos x-4 \sin x}+C$