$\frac{dy}{dx}=\frac{2+y}{x+1}$

$\left(7f-3\sqrt{3c}\right)$

$\int\sqrt{4-t^2}dx$

$\int\frac{4x^2-8x}{\left(x^2+1\right)^2\left(x-1\right)^2}dx$

$\:x^3-3x^2-3x+9$

$y'=\left(15x^2+4\right)\left(6y+5\right)$

$\frac{d}{dx}\left(\frac{\left(3x^2+1\right)^4}{\left(2x-1\right)^3}\right)$