Hi, I'm trying to compute the following improper integral: exp(-x)/Log(x) at the [2,+inf) interval and it returns me that it's not converges. But this integral should converge, as I see it by comparison test with exp(-x). Can somebody explain me what's wrong here?
Code: Integrate[1/(E^x*Log[x]), {x, 2, [Infinity]}] thanks
I got it, thanks for your help
Use NIntegrate;
In[56]:= NIntegrate[1/(E^x*Log[x]), {x, 2, \[Infinity]}] Out[56]= 0.136743
This integral is indeed converging as can be seen from:
Plot[NIntegrate[1/(E^x*Log[x]), {x, 2, upper}], {upper, 2, 10}]
