My desk of Integrals has the overall scenario ##int frac dx x^2+a^2 ## as being a 'regular' integral as well, not just the situation wherever ##a=one##. But I feel this being a Calculus research trouble it is anticipated with the OP to determine how to do it. Hints got over. https://gabletoppak.com/edible-oil-in-gabletop-pak/