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

$\lim_{x\to0}\left(2x^{3\:\:}\right)^{\frac{1}{x}}$

$\int\left(3x+2\right)^2dx$

$\frac{5x^2-17x-12}{x-4}$

$\frac{\cos\left(x\right)\tan\left(x\right)+\sin\left(x\right)}{\tan\left(x\right)}2\cos\left(x\right)$

$\frac{dy}{dx}=\:3+7y$

$\left(4v\:-3w^2\right)^3$