The discussion revolves around the integration of the function (x+2)/(x^2-2x+3) dx, with participants exploring various methods and approaches to solve the integral. The subject area is calculus, specifically focusing on integration techniques.
The discussion is active, with participants offering hints and suggestions without providing direct solutions. There is acknowledgment of the challenges faced in the integration process, and some participants are exploring multiple interpretations of the problem.
Participants note the constraints of not providing complete solutions and the need to explore various methods within the context of homework help. There is an emphasis on understanding the structure of the integrand and the implications of its components.
grimireaper said:I started with (2x^2+3)/(x^3-2x^2+3x) dx
and got dx/x + (x+2)/(x^2-2x+3) dx using the A/x + (Bx+C)/(x^2-2x+3) method.
But I can't seem to solve (x+2)/(x^2-2x+3) dx
Possible solutions are welcome.
grimireaper said:I thought of that but the +2 at the bottom ruins it, because splitting up x-1 and 3 into 2 integrals won't help, as I can't cancel anything out