$\int2\left(1+csc^2x\right)^2dx$

$8-\left(3+4\right)$

$4x+32+yx+8y$

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

$\frac{\ln\left(x\right)}{\ln\left(y\right)}=\frac{\ln\left(16y\right)-\ln\left(3\right)}{\ln\left(y\right)}-2$

$\lim_{x\to\infty}\left(ln\left(x\right)+x\right)^{e^{-x}}$

$4\:\left(x\:-\:2\right)>8$