My Desk of Integrals has the overall situation ##int frac dx x^2+a^two ## to be a 'common' integral way too, not only the situation where ##a=one##. But I do think this becoming a Calculus research challenge it is predicted of the OP to determine how to make it happen. Hints https://gabletoppak.com/kerala-high-court-says-not-to-use-plastic-bottles-at-weddings-in-state/