My Desk of Integrals has the general case ##int frac dx x^2+a^two ## to be a 'regular' integral far too, not just the situation where ##a=1##. But I think this currently being a Calculus research issue it is predicted of the OP to figure out how to make it happen. https://gabletoppak.com/how-gable-top-pak-can-enhance-your-brand-and-customer-experience/