/sci/ - Science & Math

sorry for bringing so many stupid integral questions today, I don't know anyone that could help me with them and have no perspective of when the next meeting with my calc professor will be due because of the whole coronavirus quarantine

anyways, I'm trying to understand where the -3 came from? I got to the 3/[(x-2)2 - √32] part but all I did was kick the three out of the integral and then use the 1/u2-a2 identity. in the end I have a similar answer to pic related but the fraction on the left is 3/(2√3) rather than -√3/2. which makes my solution completely wrong I guess