Intergrate Inx with respect to x?

  • Context: Undergrad 
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Discussion Overview

The discussion revolves around the integration of the natural logarithm function, specifically ln(x), with respect to x. Participants explore methods for performing this integration, including the suggestion of using integration by parts.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • James initially asks for the result of integrating Inx with respect to x, which some participants interpret as a request about ln(x).
  • One participant suggests using integration by parts as a method for solving the integral.
  • Another participant clarifies the notation, emphasizing that it should be ln(x) instead of In(x).
  • There is a mention of using u = ln(x) and dv = dx in the integration by parts approach.

Areas of Agreement / Disagreement

Participants generally agree on the notation correction from In(x) to ln(x) and the method of integration by parts, but the discussion does not reach a consensus on the final result of the integration.

Contextual Notes

There is an assumption that participants are familiar with integration techniques, and the discussion does not resolve the specific steps or outcomes of the integration process.

jamesd2008
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Hi, what result do you get if you intergrate Inx with respect to x?

Thanks
James
 
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jamesd2008 said:
Hi, what result do you get if you intergrate Inx with respect to x?

Hi James! :smile:

(i assume you mean "lnx")

Hint: integration by parts :wink:
 


As in the opposite of exponential.

Thanks
James
 


First, it is ln(x), not "In(x)"!

As tiny-tim suggested, use integration by parts. That might seem strange since there is only one "part" but let u= ln(x) and dv= dx and every thing works out nicely.
 


Ok, thanks for your replies, james.
 

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