My table of Integrals has the final scenario ##int frac dx x^2+a^two ## being a 'normal' integral too, not merely the case exactly where ##a=one##. But I believe this being a Calculus research problem it is expected from the OP to figure out how to do it. Hints were given https://gabletoppak.com/why-every-home-should-use-long-lasting-oil-storage-cartons-for-daily-cooking/