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

$\int4ln\left(3x\right)dx$

$\frac{dy}{dx}\left(y^2-4xy+8y+3\right)$

$\int_2^{\infty}\left(\frac{1}{x^2-x^{\frac{3}{2}}}\right)dx$

$\left(x-2\right)\cdot\left(x+3\right)\cdot\left(x+5\right)$

$x^2-2x\left(x-1\right)-1$

$-3\left(2x-1\right)^2$