My table of Integrals has the overall situation ##int frac dx x^2+a^two ## to be a 'regular' integral much too, not only the case where ##a=1##. But I believe this currently being a Calculus research problem it is expected with the OP to determine how to get it done. Hints https://gabletoppak.com/hc-issues-notice-over-plea-to-make-dwarka-plastic-free/