My desk of Integrals has the final case ##int frac dx x^2+a^2 ## as being a 'common' integral far too, not merely the situation where ##a=1##. But I think this becoming a Calculus homework issue it is expected in the OP to figure out how to get it done. Hints https://gabletoppak.com/customized-packaged-drinking-water-with-your-brand-logo/