I used to think I was pretty good at basic integration, then I met this

Show that

$\displaystyle \int^8_3\frac{(x+1)^{\frac{1}{2}}}{x+5} \, dx = \pi + 2 + \tan^{-1}\frac{3}{2}$

Anyadvice on how to even start this one would be much appreciated. I think I'm missing a trick somewhere... :)