$\frac{d}{dx}arccot\sqrt{x}$

$\int\left(\left(x+1\right)\sqrt{3-x}\right)dx$

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

$\lim_{x\to\infty}\left(\frac{ln\left(x^{12}\right)}{7x}\right)$

$\lim_{x\to-\infty}\frac{4x^4-7x^3}{\left(x^2-1\right)}$

$8x-5\left(4x-1\right)\ge\:-1+2\left(4x-3\right)$

$1017\:-\:7776$