My table of Integrals has the final situation ##int frac dx x^two+a^2 ## as being a 'conventional' integral far too, not only the situation the place ##a=1##. But I feel this getting a Calculus research dilemma it is expected with the OP to figure out how to make it happen. https://gabletoppak.com/is-bottled-water-a-healthy-choice/