The discussion revolves around the integration of rational functions, specifically focusing on the integral of (2)/(x^2 + 1) and (2x)/(x^2 + 1). Participants explore the relationship between the integrals and their respective forms, questioning the correct application of integration techniques.
Some participants have reached a consensus on the integral of (2x)/(x^2 + 1) and are now considering the implications of changing the numerator. There is an ongoing exploration of the integral of (2)/(x^2 + 1) and its relationship to known results, with participants sharing insights from computational tools.
Participants are navigating through the implications of different forms of the integral and the assumptions related to the presence of 'x' in the numerator. There is an acknowledgment of the need to clarify the integration techniques applicable to these forms.
ZedCar said:Thank you.
Yes, I'm getting the same answer as you now on Wolfram.
If the question had instead been
Integrate (2)/(x^2 + 1) (no x in the numerator)
Would the answer also have been log|x^2 + 1| + c