$y'-\frac{6x}{5y^2}=0$

$\frac{dy}{dx}+4y=20$

$\int\frac{x-1}{\left(x^2+5x+4\right)}dx$

$\frac{4x^{3}+2x^{2}}{2x^{2}}$

$3x\sqrt{\left(1-\left(\frac{x^2}{3}\right)\right)}$

$\lim_{n\to\infty}\left(\frac{a^{\frac{1-n}{2n}}n}{b^{\frac{1-n}{2n}}}\right)$

$\lim_{x\to1}\left(4x^2+2x^2-x+1\right)$