$e^{-y}\sin\left(x\right)+\frac{dy}{dx}=0$

$\frac{dy}{dx}=\frac{2ex}{3y^2}$

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

$7x^2-24x+6$

$\lim_{x\to0}\left(\frac{\sqrt{x^2}-25}{x\:-\:25}\right)$

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

$\int xln\left(\frac{x-1}{x+1}\right)dx$