Question

$$\displaystyle\int{ \frac{ 5x-23 }{ { x }^{ 2 } -9x+20 } }d x$$

Evaluate

$2\ln(|x-5|)+3\ln(|x-4|)+С$

Differentiate w.r.t. x

$\frac{5x-23}{\left(x-5\right)\left(x-4\right)}$