$\int\frac{x^2-x-20}{\left(x-2\right)^3}dx$

$\lim_{x\to\infty}\left(2\log\left(x\right)\right)$

$-473+231-133$

$f\left(x\right)=\frac{6}{3x^7}+2tanx$

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

$\frac{x^5+3x-1}{x+3}$

$\frac{d^2}{dx^2}\frac{x^4}{2x}$