My desk of Integrals has the general situation ##int frac dx x^2+a^2 ## as a 'conventional' integral far too, not merely the case exactly where ##a=1##. But I do think this being a Calculus research challenge it is predicted in the OP to figure out how to get it done. https://gabletoppak.com/best-alternatives-to-plastic-water-bottles-in-kerala-for-a-greener-future/