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

$\int\left(xsin\left(4x\right)cos\left(4x\right)\right)dx$

$2\frac{dy}{dx}+10y=0$

$2+\sqrt{x+8}=\sqrt{3x+12}$

$\left(2x-3\right)\left(4-2y+y^2\right)$

$tan\:x\left(x\right)^2\cdot\cos\left(x\right)^2$