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

$-\tan ^{-1} \sqrt{x^2+2}+c$

$-\tan ^{-1} \sqrt{\frac{x^2+1}{x^2+2}}+c$

$-\tan ^{-1} \sqrt{\frac{x^2+2}{x^2+1}}+c$

$\frac{1}{128}\left(-2 \sin ^3 x \cos x-3 \sin x \cos x+3\right)+c$

$\frac{1}{256}\left(-2 \sin ^3 2 x \cos 2 x-3 \sin 2 x \cos 2 x+6 x\right)+c$

$\frac{1}{128}\left(2 \sin ^3 x \cos x-3 \sin x \cos x+3 x\right)+c$

$\frac{1}{256}\left(3 \sin ^3 x \cos x-2 \sin x \cos x+2\right)+c$

$\frac{1+2 x^2+2 x^4}{2 x^2}+c$

$\frac{\left(1+2 x^2+2 x^4\right)^{\frac{1}{2}}}{2 x^2}+c$

$\frac{1-2 x^2+2 x^4}{2 x^2}+c$

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

$\frac{\left(\tan ^{-1}\left(x^4\right)\right)^2}{8}+c$

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

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

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