$\frac{1}{12} \tan ^{-1}\left(\frac{3 \tan x}{4}\right)+C$

$\frac{1}{3} \sin ^{-1}\left(\frac{3 \sin x}{4}\right)+C$

$\frac{1}{12} \log \left(\frac{4-\sqrt{7} \sin x}{4+\sqrt{7} \sin x}\right)+C$

$\frac{1}{12} \log \left(\frac{4+\sqrt{7} \sin x}{4-\sqrt{7} \sin x}\right)+C$

$\frac{3+(\sec x+\tan x)^2}{2(\sec x+\tan x)^3}+C$

$-\frac{1+3(\sec x+\tan x)^2}{6(\sec x+\tan x)^3}+C$

$-\frac{3+(\sec x+\tan x)^2}{2(\sec x+\tan x)^3}+C$

$-\frac{1+(\sec x+\tan x)}{3(\sec x+\tan x)^2}+C$

$\frac{2}{\sqrt{5}} \tan ^{-1}\left(\frac{3 \tan \frac{x}{2}+4}{\sqrt{5}}\right)+C$

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

$\frac{1}{2-\tan \frac{x}{2}}+C$

$\frac{1}{1+\tan \frac{x}{2}}+C$

$\log \frac{\sqrt{x^2+1}}{|x-2|}+2 \tan ^{-1} x+C$

$\log \frac{|x-2|}{x^2+1}+2 \tan ^{-1} x+C$

$\frac{1}{5}\left[\log \frac{|x-2|}{\sqrt{7+x^2}}+2 \tan ^{-1} x\right]+C$

$\frac{1}{5}\left[\log \frac{|x-2|}{\sqrt{1+x^2}}-2 \tan ^{-1} x\right]+C$