(Solved): Evaluate the integral by completing the square and using trigonometric substitution. \[ \int \frac{ ...

Evaluate the integral by completing the square and using trigonometric substitution. \[ \int \frac{d x}{\sqrt{3+x-x^{2}}} \] (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.) \[ \int \frac{d x}{\sqrt{3+x-x^{2}}}= \]