Because you've chosen the u-substitution route (hitherto quite perfectly), Jeng, the next step could be to change the x-limits (5 to 9) to u-limits(? to ?), and integrate (1/u)(u + 3) (expand the parantheses and integrate term-by-term), agreed?
Once you've evaluated that, you might like to reflect on what you've done. x/(x - 3) can be written ((x - 3) + 3)/(x - 3), right?