$\lim_{x\to\infty}\left(\frac{2x^4+3}{5x^3-x^2-3}\right)$

$\frac{cot\left(x\right)+tan\left(x\right)}{-sec\left(x\right)}$

$\frac{dy}{dx}=6-\frac{2y}{3}$

$\frac{ab+b^2}{ab}+\frac{ab-b^2}{ab-a^2}$

$y=\frac{1}{3}\sqrt{x^2+2}$

$\int6x^5\left(x^6-1\right)dx$

$6y\left(5y^2-4y-1\right)$