determine whether the integral In(x)/(1+exp(x)) from 2 to ∞? converges or diverges?
Nov 25, 2011 #1 hoho2666 1 0 determine whether the integral In(x)/(1+exp(x)) from 2 to ∞? converges or diverges?
Nov 26, 2011 #2 nicksauce Science Advisor Homework Helper 1,272 6 What is this function In(x)? Do you mean ln(x)? Assuming so, I think you can do a simple comparison test: 0 < ln(x) / (1+exp(x)) < x / (1+exp(x)) < x / exp(x) And it's fairly easy to show the integral of x/exp(x) converges.
What is this function In(x)? Do you mean ln(x)? Assuming so, I think you can do a simple comparison test: 0 < ln(x) / (1+exp(x)) < x / (1+exp(x)) < x / exp(x) And it's fairly easy to show the integral of x/exp(x) converges.