$\tan\left(2\right)ydx=\csc^2\left(x\right)dy$

$3cot^2\left(\frac{3\pi}{3}\right)$

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

$\int\frac{5}{e^{2x}+8}dx$

$\frac{-3x^2+\left(x+1\right)\left(6x+2\right)-2x+1}{\left(x+1\right)^2}$

$\int\left(\frac{cosx}{8-5sinx}\right)dx$

$3x-12+3x-12+5x+4+5x+4$