My Table of Integrals has the general case ##int frac dx x^two+a^2 ## like a 'normal' integral also, not just the situation wherever ##a=1##. But I believe this becoming a Calculus research challenge it is anticipated in the OP to figure out how to make it happen. Hints were given https://gabletoppak.com/water-in-a-sustainable-box-the-future-of-eco-friendly-hydration/