$\int6e^{-3x}\left(5-3e^{-3x}\right)^3dx$

$\int\frac{4x-3}{\left(x+1\right)\left(x-2\right)\left(x+3\right)}dx$

$solve\:\left(log\left(x\right)\right)^2+2\left(log\left(x-3\right)\right)=0$

$\left(3x^2-2xy+2\right)dx\:+\left(6y^2-x^2+3\right)dy\:=0$

$xy2-6\cdot xy2-7$

$\frac{1}{s^3-2s^2+s}$

$\int u\sec^2udu$