My Table of Integrals has the final scenario ##int frac dx x^two+a^2 ## as being a 'standard' integral too, not simply the case wherever ##a=one##. But I think this currently being a Calculus research trouble it is expected of the OP to figure out how to do it. Hints were https://gabletoppak.com/sustainable-soap-packaging-benefits-for-indian-consumers/