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

$dx+\left(2+x-y\right)dy=0$

$\frac{dy}{dx}+\frac{5y}{x}=-5x$

$\frac{d}{dx}\left(20x^{ln20x}\right)$

$\int x ^ { - 32 } d x$

$\frac{dy}{dx}=yx-x$

$\lim_{x\to1}\left(\left(x-1\right)^2\cdot\frac{e^{2x}}{x^3-17x^2+80x-64}\right)$