My table of Integrals has the general case ##int frac dx x^2+a^two ## to be a 'standard' integral too, not just the case where ##a=1##. But I do think this remaining a Calculus research issue it is expected of the OP to determine how to get it done. Hints were https://gabletoppak.com/how-gable-top-pak-and-paper-bottles-lead-in-sustainable-beverage-packaging/