My table of Integrals has the overall scenario ##int frac dx x^two+a^two ## to be a 'regular' integral also, not simply the situation in which ##a=1##. But I do think this remaining a Calculus research dilemma it is anticipated from the OP to determine how to make it happen. Hints https://gabletoppak.com/india-leads-in-generating-plastic-waste-with-10-2-mn-tonnes-a-year-study/