Question

$$\int\frac{1}{\sqrt{x^{2}+5x+4}}dx=?$$

Evaluate

$\ln(|2\sqrt{\left(x+1\right)\left(x+4\right)}+2x+5|)+С$

Differentiate w.r.t. x

$\frac{1}{\sqrt{\left(x+1\right)\left(x+4\right)}}$