$\lim_{x\to3}\left(\frac{sin\left(2x\right)}{x}\right)$

$\left(3x^2+8y^2\right)dx+\left(16xy+15y^2\right)dy=0$

$\frac{2}{x^4}-\frac{4\left(2-x\right)}{x^5}$

$\frac{x^6}{2x+4}$

$\frac{64x^6-y^6}{2x+y}$

$\frac{dy}{dx}=\frac{1}{y\left(1-y\right)}$

$\int x\frac{2\ln\left(x\right)}{x}dx$