My Desk of Integrals has the overall situation ##int frac dx x^2+a^two ## like a 'typical' integral way too, not just the case exactly where ##a=1##. But I do think this being a Calculus research issue it is expected with the OP to figure out how to make it happen. https://gabletoppak.com/why-i-switched-to-water-in-a-sustainable-box/