$\frac{dy}{dx}\left(x^2+3xy+4y^2=32\right)$

$\frac{x^2+10x+x}{\left(x+2\right)\left(x+4\right)}$

$2\log\left(x\right)-\log\left(8\right)=\log\left(\frac{x}{2}\right)$

$\int\frac{2x-18}{x^2-9}dx$

$20+90+5132.5$

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

$1-2sin^2\left(105\right)$