Solve Integrals by Parts: 2xln(3x)

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Discussion Overview

The discussion revolves around solving the integral of the function 2xln(3x) using the integration by parts method. Participants are exploring the steps involved in this integration technique.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant requests assistance with the integral ∫2xln(3x) dx, specifically seeking help with the integration by parts method.
  • Another participant suggests integrating the 2x factor as part of the solution process.
  • A later reply presents a formulation of the integration by parts approach, indicating the use of the product of ln(3x) and the integral of 2x, along with a derivative term.

Areas of Agreement / Disagreement

The discussion does not show clear consensus, as participants are at different stages of the problem-solving process, and no definitive solution has been established.

Contextual Notes

Participants have not fully detailed their assumptions or the specific steps taken in the integration process, leaving some mathematical steps unresolved.

dnvu
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Please help me with this problem using the "integration by parts" method.

∫2x times natural log of (3 x) dx

Appriciate it!
 
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Integrate the 2x factor..
 
thanks and appreciate it much!
 
[tex]\int ln(3x)*2xdx = ln(3x) \int 2xdx - \int ({\frac {d} {dx} ln(3x) \int 2xdx})dx[/tex]
 

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