Question

$$\int \frac { d x } { x ^ { 2 } + 20 x + 14 }$$

Evaluate

$\frac{\sqrt{86}\ln(\frac{|x+10-\sqrt{86}|}{|x+\sqrt{86}+10|})}{172}+С$

Differentiate w.r.t. x

$\frac{\sqrt{86}\left(xsign(x+10-\sqrt{86})+\sqrt{86}sign(x+10-\sqrt{86})+10sign(x+10-\sqrt{86})-|x+10-\sqrt{86}|\right)}{172|x+10-\sqrt{86}|\left(x+\sqrt{86}+10\right)}$