$\frac{2}{3} \sqrt{3 x^2-2 x+1}+\frac{11}{3} \sinh ^{-1}\left(\frac{3 x-1}{\sqrt{2}}\right)+C$

$\frac{1}{3} \sqrt{3 x^2-2 x+1}+\frac{11}{3} \sinh ^{-1}\left(\frac{\sqrt{3} x-1}{\sqrt{2}}\right)+C$

$\frac{1}{3} \sqrt{3 x^2-2 x+1}+\frac{11}{3} \sinh ^{-1}\left(\frac{3 x-1}{\sqrt{3}}\right)+C$

$\frac{2}{3} \sqrt{3 x^2-2 x+1}+\frac{11}{3 \sqrt{3}} \sinh ^{-1}\left(\frac{3 x-1}{\sqrt{2}}\right)+C$

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

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

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

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

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

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

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

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

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

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

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

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