$$\int \frac { 1 } { 5 x ^ { 2 } - 4 } d x$$
$\frac{5\sqrt{5}\ln(\frac{|x-2\sqrt{5}|}{|x+2\sqrt{5}|})}{4}+С$
$\frac{5\sqrt{5}\left(xsign(x-2\sqrt{5})+2\sqrt{5}sign(x-2\sqrt{5})-|x-2\sqrt{5}|\right)}{4|x-2\sqrt{5}|\left(x+2\sqrt{5}\right)}$