Question $6$ of $20$

Evaluate the integral by completing the square as a first step.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{(x^2+8x+10{)}^2}$

$($Express numbers in exact form. Use symbolic notation and fractions where needed. Use $C$ for the arbitrary constant. Absorb into $C$ as much as possible.$)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{(x^2+8x+10{)}^2}=$