My Desk of Integrals has the final scenario ##int frac dx x^2+a^two ## for a 'typical' integral way too, not only the case wherever ##a=1##. But I believe this becoming a Calculus research challenge it is expected of your OP to determine how to get it done. Hints were given https://gabletoppak.com/hc-issues-notice-over-plea-to-make-dwarka-plastic-free/