My Desk of Integrals has the general case ##int frac dx x^2+a^2 ## being a 'conventional' integral too, not just the case in which ##a=1##. But I believe this currently being a Calculus research challenge it is predicted of your OP to determine how to make it happen. Hints got https://gabletoppak.com/reducing-microplastics-why-gable-top-cartons-are-better-than-plastic-water-bottles/