My table of Integrals has the final case ##int frac dx x^two+a^2 ## like a 'conventional' integral also, not simply the situation wherever ##a=1##. But I do think this being a Calculus research challenge it is anticipated of the OP to determine how to make it happen. Hints got over. https://gabletoppak.com/free-water-campaign-advertise-your-brand/