My Table of Integrals has the general circumstance ##int frac dx x^two+a^2 ## as being a 'regular' integral as well, not just the situation wherever ##a=one##. But I believe this becoming a Calculus research challenge it is anticipated in the OP to figure out how to make it happen. Hints https://gabletoppak.com/why-gable-top-cartons-are-making-a-splash-in-the-water-industry/