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

$\int_1^x\left(lnt\right)dt$

$5x^2y+3x=2y+6$

$5x^2+10x+5$

$\int_{-\cos\left(x\right)}^{\sin\left(x\right)}\left(\frac{1}{\sqrt{1-b^2}}\right)db$

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

$\left(x+7\right)\left(x+5\right)\left(x+4\right)$