$\int\frac{x-1}{\left(x^2-5x+6\right)}dx$

$-9x\:+4\:-\:3x\:+\:5$

$\frac{30x^3-15x^2-10x-100}{5x}$

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

$\ln\left(x+6\right)-\ln\left(2\right)=\ln\left(x\right)$

$\frac{\left(5x^3-12xy\right)}{5x^2y^3}$

$\frac{d}{dx}\left(\frac{e^x+x^5+3}{x^3+ln\left(x\right)}\right)$