$\frac{x^3-6x^2+11x-6}{x-2}$

$\lim_{x\to0}\left(\frac{-3sin\left(3x^4\right)}{5x}\right)$

$\int xln\left(10\right)dx$

$y0+y\:cot\left(x\right)=2x\:csc\left(x\right)$

$\sec\left(x\right)+\tan\left(x\right)\csc\left(x\right)=2\sec\left(x\right)$

$\frac{8x}{x-3}-2=\frac{4x}{x+3}+2$

$\lim_{x\to\infty}\:\frac{0^n-1}{0^n+1}$