The discussion revolves around the evaluation of improper integrals, specifically checking for divergence at the point x=0. The integrals in question are Int(1/(x^3-2x^2+x), from 0 to 1) and Int(1/(x^3+x^2-2x).
Some participants are exploring the validity of the original poster's conclusion about divergence, while others are questioning the terminology used and suggesting a need for clearer evaluation methods. There is an ongoing exchange regarding the correct approach to analyze the integrals.
Participants note that both integrands are undefined at x=0, indicating the improper nature of the integrals. There is also mention of another endpoint, x=1, where the integrands are undefined, which may affect the evaluation.
Both integrands are undefined at x = 0, which is why the integrals are improper. Both integrands are also undefined at the other endpoint, x = 1.aaaa202 said:Homework Statement
Check if the following integrals diverge:
Int(1/(x^3-2x^2+x), from 0 to 1) and Int(1/(x^3+x^2-2x)
Homework Equations
Ratio-test(not sure if that's the name)
The Attempt at a Solution
I have solved the problem and found that both integrals diverge at x=0.
aaaa202 said:I just want to check if you guys agree with me.