My table of Integrals has the general situation ##int frac dx x^2+a^2 ## being a 'standard' integral much too, not only the case where by ##a=1##. But I feel this remaining a Calculus research difficulty it is expected with the OP to figure out how to make it happen. Hints https://gabletoppak.com/why-i-switched-to-water-in-a-sustainable-box/