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

$2x\frac{dy}{dx}+y=2\sqrt{x}e^{3x}$

$\frac{2a^4-3a^2+a-1}{a^3}$

$\frac{1}{2}\left(2t+5\right)^{-\frac{1}{2}}$

$\left(4x^2-7x-2\right).\left(\ln\left(y\right)\right)^2.z+9y^2$

$\int\frac{5x^{2}-10x-8}{x^{3}-4x}dx$

$\int\:\frac{6x}{\left(3x^2-2\right)^9}dx$