My desk of Integrals has the final circumstance ##int frac dx x^two+a^2 ## like a 'standard' integral much too, not simply the situation wherever ##a=1##. But I believe this currently being a Calculus research trouble it is predicted from the OP to figure out how to do it. Hints were https://gabletoppak.com/how-i-integrated-branding-and-design-with-an-indian-paper-bottle-manufacturer/