My Table of Integrals has the general situation ##int frac dx x^2+a^2 ## as being a 'common' integral far too, not merely the situation wherever ##a=one##. But I feel this staying a Calculus research dilemma it is anticipated with the OP to figure out how to get it done. Hints https://gabletoppak.com/hc-issues-notice-over-plea-to-make-dwarka-plastic-free/