$2r^2-15r-27$

$\int t^3e^{-t^2}dt$

$\log_x\left(3\right)\:+\:\log_x\left(x\:+\:103\right)$

$\int\left(\sqrt{x}\left(3+4x\right)\right)dx$

$\sin\left(x\right)\ln\tan x$

$\frac{dy}{dx}\left(xy=sin\left(xy+x\right)\right)$

$\lim_{x\to\infty}sin\left(\frac{11}{x}\right)$