$\lim_{x\to\infty}\left(\frac{2x^2-3x+4}{\ln\left(x\right)}\right)$
$2x^6-12x^4$
$\int_0^4exdx$
$\frac{dy}{dx}+2xy=xy^2+x$
$\int\frac{2x^3+5x+8}{x+1}dx$
$\int\:\frac{e^{\sqrt[6]{r}}}{\sqrt{r}}\:dx$
$\frac{x^3+6x^2-13x-42}{x-3}$
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