My table of Integrals has the general case ##int frac dx x^two+a^2 ## to be a 'regular' integral as well, not just the case in which ##a=1##. But I do think this currently being a Calculus research dilemma it is predicted from the OP to determine how to get it https://gabletoppak.com/how-white-labelled-water-elevated-business-image/