My table of Integrals has the final scenario ##int frac dx x^2+a^two ## being a 'normal' integral much too, not simply the case in which ##a=1##. But I do think this becoming a Calculus research dilemma it is predicted of the OP to determine how to make it happen. Hints https://gabletoppak.com/travel-green-gabletop-paks-sustainable-shift/