My table of Integrals has the final case ##int frac dx x^2+a^two ## to be a 'common' integral far too, not simply the situation the place ##a=1##. But I think this becoming a Calculus research trouble it is predicted with the OP to figure out how to do it. Hints https://gabletoppak.com/water-in-a-sustainable-box-the-future-of-eco-friendly-hydration/