My table of Integrals has the final situation ##int frac dx x^2+a^two ## as a 'typical' integral as well, not only the situation where ##a=one##. But I feel this becoming a Calculus research dilemma it is expected of the OP to determine how to make it happen. Hints got earlier https://gabletoppak.com/quenching-thirst-building-brands-how-free-water-campaigns-on-gable-top-cartons-create-impactful-brand-awareness/