Compute the following:

(Use \(C\) for the constant of integration)

\[ \int \frac {1}{x^2-6x+14} \d x = \begin{prompt}\answer {\frac {1}{\sqrt {5}}\arctan \left (\frac {x-3}{\sqrt {5}}\right )+C}\end{prompt} \\ \]

(Hint: Complete the square in the denominator.)