Evaluate the integral by completing the square and using trigonometric substitution.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\sqrt[\phantom{2}]{x^2-4x-165}dx$

$($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.$)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\sqrt[\phantom{2}]{x^2-4x-165}dx=$