$\frac{dy}{dx}=\frac{\left(x+8\right)}{\left(x-8\right)}$

$\int\left(\frac{x-tan^{-1}\left(x\right)}{x}\right)dx$

$\int1+\frac{1}{\log\left(x\right)}dx$

$-x^4+2x^3-3x+\frac{1}{x+1}$

$\left(x^4-2x^3+6x^2-2\right)\:\left(x-2\right)$

$\int_0^{\infty}\left(\frac{4x^3+5x^2+2x+3}{x^2+4}\right)dx$

$x^2+y^2-20x-2y+52+0$