$$\displaystyle\int{ \frac{ 5 { x }^{ 3 } + { x }^{ 2 } -7x+5 }{ { x }^{ 4 } -2 { x }^{ 3 } + { x }^{ 2 } } }d x$$
$\frac{2x^{2}\ln(|x-1|)+3x^{2}\ln(|x|)-2x\ln(|x-1|)-3x\ln(|x|)-9x+5}{x\left(x-1\right)}+С$
$\frac{5x^{3}+x^{2}-7x+5}{\left(x\left(x-1\right)\right)^{2}}$