$\frac{d}{dx}\left(y=\frac{x^2\left(x-1\right)^3}{x+3}\right)$

$\frac{a}{x^2}+\frac{b}{1+x}+\frac{c}{x}$

$\int\frac{1}{\left(11\:-\:10x\:-x^2\right)^2}dx$

$\int\left(\left(5x^2+8x+3\right)^3\right)\left(20x+16\right)dx$

$\frac{1}{4}m^2n-\frac{3}{4}mn^2+\frac{5}{4}mn$

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

$3\sin\left(2x\right)\tan\left(x\right)=2$