My Table of Integrals has the final situation ##int frac dx x^two+a^2 ## to be a 'typical' integral also, not just the case where ##a=1##. But I do think this currently being a Calculus research dilemma it is expected on the OP to determine how to do it. Hints got https://gabletoppak.com/how-white-labeling-water-bottles-can-elevate-your-brand-identity/