$tan^3x\:=\:3tan^2\left(x\right)sec^2\left(x\right)$

$\int-\frac{14x+117}{\left(x^{2\:}+16x+69\right)\left(x+8\right)}dx$

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

$y=\frac{x^{\frac{4}{3}}cosx}{\left(x^4+2x^2+1\right)^6}$

$\frac{dy}{dt}=t^{-2}\left(sen2t-2ty\right)$

$a^2-ab\:entre\:\:-3x^2$

$\frac{\left(x-1\right)}{3\:}=\frac{\left(x+4\right)}{2}$