My table of Integrals has the final situation ##int frac dx x^2+a^two ## to be a 'regular' integral much too, not just the situation where ##a=one##. But I believe this staying a Calculus research issue it is predicted from the OP to figure out how to get it done. Hints https://gabletoppak.com/kerala-high-court-says-not-to-use-plastic-bottles-at-weddings-in-state/