My table of Integrals has the final scenario ##int frac dx x^2+a^two ## for a 'conventional' integral as well, not only 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 https://gabletoppak.com/how-i-integrated-branding-and-design-with-an-indian-paper-bottle-manufacturer/