$\lim_{x\to81}\left(\frac{\sqrt{m}-9}{m-81}\right)$

$\int\left(x\cdot\sqrt[4]{3x-1}\right)dx$

$\frac{dy}{dx}=\left(6+x\right)^2$

$5\:\log_b\left(x\right)+\:\log_b\left(y\right)$

$64x^2-48xy+9y^2$

$\int\frac{\left(5x^3-3x^2+7x-3\right)}{\left(x^2+1\right)^2}dx$

$5+7-3-8+4-9$