Integrate 1/(x*lnx): Integration by Parts

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Discussion Overview

The discussion centers around the integration of the function 1/(x*lnx) and whether integration by parts is a suitable method for solving this integral. Participants explore different approaches and express uncertainty about the effectiveness of integration by parts in this context.

Discussion Character

  • Debate/contested, Mathematical reasoning

Main Points Raised

  • Some participants question the applicability of integration by parts for the integral of 1/(x*lnx), suggesting that it may not be the best approach.
  • Others acknowledge that there might be an easier method to resolve the integral but express uncertainty about whether integration by parts can yield a correct answer.
  • A participant requests to see the attempt at integration to provide better assistance, indicating that without seeing the work, it is difficult to identify any errors.
  • There is a general sentiment that integration by parts does not seem promising for this integral.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the use of integration by parts for this integral. Multiple competing views remain regarding the best approach to take.

Contextual Notes

Participants express uncertainty about the effectiveness of integration by parts and the potential existence of simpler methods, but do not resolve these issues. There is also a lack of clarity on the specific attempts made by participants in solving the integral.

LCSphysicist
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TL;DR
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can integrate 1/(x*lnx) by parts??
 
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LCSphysicist said:
Summary:: .

can integrate 1/(x*lnx) by parts??
Parts is probably not the best approach. Instead, look for derivatives within the integrand.
 
PeroK said:
Parts is probably not the best approach. Instead, look for derivatives within the integrand.
Yeh, i know that there is a easier way to resolve it. But i see that try by part we can't ccame in the right answer, i need to now if i made a error or indeed we can't use integral by parts here, and if we cant, why?
 
LCSphysicist said:
Yeh, i know that there is a easier way to resolve it. But i see that try by part we can't ccame in the right answer, i need to now if i made a error or indeed we can't use integral by parts here, and if we cant, why?
You'll need to post your attempt. No one can help if we can't see what you've done.

Integration by parts doesn't look promising to me.
 

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