My Table of Integrals has the overall scenario ##int frac dx x^two+a^two ## being a 'conventional' integral too, not just the case wherever ##a=1##. But I do think this getting a Calculus research problem it is predicted from the OP to determine how to make it happen. Hints got higher https://gabletoppak.com/water-in-a-sustainable-box-the-future-of-eco-friendly-hydration/