$\lim_{x\to0}\left(\frac{x-4}{x+2}\right)^2$

$\int\frac{x+8}{6\left(x^2+2x-6\right)}dx$

$\int\:\:cot^55xdx$

$\lim_{h\to0}\left(6x-4x^2\right)$

$\frac{dy}{dx}\left(x^2-3xy=2y-y^3\right)$

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

$2yx^4\:x\:3x^{-4}y^3$