$$\displaystyle\int{ \frac{ 10 { x }^{ 2 } -2x-6 }{ { x }^{ 3 } - { x }^{ 2 } -2x } }d x$$
$2\ln(|x+1|)+5\ln(|x-2|)+3\ln(|x|)+С$
$\frac{2\left(5x^{2}-x-3\right)}{x\left(x-2\right)\left(x+1\right)}$