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

$\frac{x}{x+1}+\frac{1}{x+1x+2}$

$2a^2+5a+28$

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

$-7x^2-5x-9;\:x=2$

$\lim_{x\to1}\left(\frac{1-2x+x^2}{1+\log\left(x\right)-x^2}\right)$

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