How to integrate $\frac{x+4}{x^2+2x+5}$ Having a little trouble on how to break it up. How to integrate $$\frac{x+4}{x^2+2x+5}$$

Since $x^2+2x+5 = (x+1)^2+2^2$, we should split it up as 
$\dfrac{x+4}{x^2+2x+5} = \dfrac{x+1+3}{x^2+2x+5} = \dfrac{x+1}{(x+1)^2+2^2}+\dfrac{3}{(x+1)^2+2^2}$.
Both of these should be easy to integrate.
