OK...I think it is coming to me...but not sure...

If I complete the square of by subtracting 1, I get

Then, if I pull a factor of 4 out of the expression under the root

Which allows me to write this thing as

and if I set u=x-1 and a=1/2, I can use this from my table of integrals:

Does that work, or did I project some wishful thinking into this?