My Table of Integrals has the general situation ##int frac dx x^2+a^2 ## as being a 'normal' integral way too, not merely the case where by ##a=one##. But I think this being a Calculus research trouble it is anticipated from the OP to figure out how to make it happen. https://gabletoppak.com/single-use-plastic-water-bottles-will-not-be-available-in-himachal-from-june-1-use-glass-bottles-and-dispensers-instead/