Integration problem: int[e, 6] [1 / (x ln(x))] dx

[Kristi02]

Would someone please help, the "e" in the integration is messing me up.

~from e to 6 of 1/(xlnx)dx

This is what I have
ln(lnx)]e to 6
ln(ln6) - ln(lne)

Thanks,
Kristi

 

[stapel]

Why would a numerical limit of integration "mess you up"...?

Are you saying that you can do the integration just fine, but don't know how to evaluate the natural log at "e"...? (The natural logarithm and its base would have been covered extensively back in algebra and probably reviewed again in calculus, is why I ask.)

Please clarify. Thank you.

Eliz.

 

[Kristi02]

I added more to my question as far as where I have gotten to. I am having trounle when I evaluate the integral from e to 6. Hope this explains my problem better.

 

[arthur ohlsten]

Int e to 6 of dx/(xlnx)

let u=lnx
then du=dx/x

when x=e u=1
when x=6 u=ln6

int 1 to ln6 of du/u
lnu evaluated at ln6 and 1
ln(ln6)-0
ln(ln6)=.58319808 answer

Arthur
please check math for errors

 

[Kristi02]

Thank you so much for your help. It makes sense now.

 

[arthur ohlsten]

Kristi-
You are more than welcome.
I have a niece named Kristi, you are the only other Kristi I have ever met.
Good luck with your math. In fact studying usually is a good replacment for luck.
Arthur