$\int\frac{f+2f^2}{\sqrt{f}}df$

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

$\frac{d}{dx}\sqrt[2]{\frac{x-3}{x^4+3}}$

$\left(5x\:+\:3y\right)\left(5x\:\:\:\:5y\right)$

$1=4x-x-2$

$\int\:\frac{\sqrt{x}-3}{\sqrt{x}+1}dx$

$\frac{\log\left(x+2\right)}{\log\left(\sqrt{7-4x}\right)}=2$