My table of Integrals has the general situation ##int frac dx x^2+a^2 ## being a 'conventional' integral too, not just the case where by ##a=1##. But I do think this currently being a Calculus research trouble it is expected from the OP to figure out how to do it. Hints https://gabletoppak.com/why-white-label-water-bottles-are-a-game-changer-for-your-brand/