My table of Integrals has the final circumstance ##int frac dx x^two+a^two ## as a 'conventional' integral way too, not just the case in which ##a=1##. But I feel this becoming a Calculus research dilemma it is predicted in the OP to figure out how to make it happen. Hints https://gabletoppak.com/best-alternatives-to-plastic-water-bottles-in-kerala-for-a-greener-future/