Yes, start with
This becomes
To integrate this im not really sure off the top of my head how to do it formally
err had an arithmetic error.
With practice, this sort of problem is solved by differentiation rather than integration.
Look at the on the top line and the on the bottom line and realise that they have come from differentiating
So, differentiate function of a function fashion to get and then multiply by a suitable constant to get the required result.
With just a little practice, you just write down the result.
If you prefer the integration by substitution, works best.