$\log\sqrt{3}\left|x+1\right|$

$\int\left(\frac{1-2u}{-u^2+u+1}\right)du$

$y=\left(2x^{-1}\right)\left(6x^3-2x^4\right)$

$x^6-x^4+2x^2$

$\lim_{x\to\infty}\sqrt{x^2+1}\left(-x\right)$

$729a^{12}+\:363b^{18}$

$\lim_{x\to\pi}\left(\frac{1+\cos\left(x\right)}{1-\cos\:\left(x\right)}\right)$