$\int6x\sec^2\frac{x^2}{3}dx$

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

$\frac{dy}{dx}-x^2\left(y\right)=0$

$\int_{\sqrt{3}}^{\infty}\left(\frac{3}{9+x^2}\right)dx$

$\left(7n+2m^5\right)\left(2m^5-7n\right)$

$\lim_{x\to1\:}\left(1+\frac{a}{x}\right)^{bx}$

$\int3\left(x-3\right)^{\frac{5}{2}}dx$