My Desk of Integrals has the final situation ##int frac dx x^two+a^two ## for a 'standard' 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/edible-oil-in-gabletop-pak/
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