My Desk of Integrals has the final situation ##int frac dx x^2+a^two ## being a 'typical' integral as well, not just the case the place ##a=1##. But I think this being a Calculus homework challenge it is predicted from the OP to determine how to do it. Hints were given https://gabletoppak.com/a-revolutionary-step-towards-sustainable-water-bottle-packaging/