My table of Integrals has the final situation ##int frac dx x^two+a^2 ## as a 'conventional' integral far too, not only the case wherever ##a=one##. But I do think this getting a Calculus research trouble it is expected on the OP to determine how to make it happen. Hints were https://gabletoppak.com/why-paper-water-bottles-are-gaining-popularity-in-kerala/