$f\left(x\right)=\:3x^5+\:2x^3-\:2x^{-2}\:-\:5$

$5\:\frac{dy}{dx}+\:4xy=10$

$\frac{dy}{dx}=-4y\:$

$9f^2-6fg+g^2$

$\int\cos\left(ln\left(x\right)\right)dx$

$\lim_{x\to\infty}\left(\frac{4x^5-6x^4+3x-5}{3x^3+5x^2+6x}\right)$

$\int\frac{6}{\left(s-2\right)\left(s-3\right)\left(s-6\right)}ds$