Asked by Pete
Determine whether the integral converges or diverges. Find the value of the integral if it converges.
The integral where b=2 and a=0 (x/x^2-1 dx).
The integral where b=2 and a=0 (x/x^2-1 dx).
Answers
Answered by
MathMate
For ∫ xdx/(x²-1) from 0 to 2, we have to note that there is a vertical asymptote in the function at x=1, hence divide the range of integration into two parts, namely 0 to 1 and 1 to 2 and integrate accordingly.
If each sub-integral exists and is convergent, the answer is the sum of the two. Otherwise, the original integral is divergent.
If each sub-integral exists and is convergent, the answer is the sum of the two. Otherwise, the original integral is divergent.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.