What is the integral of ln(9-x) over ln(9-x) plus ln(x+3)?

  • Context: Undergrad 
  • Thread starter Thread starter rasi
  • Start date Start date
  • Tags Tags
    Integral
Click For Summary

Discussion Overview

The discussion centers around evaluating the integral of the function involving logarithmic expressions, specifically the integral of \(\frac{\sqrt{\ln(9-x)}}{\sqrt{\ln(9-x)}+\sqrt{\ln(x+3)}}\) from 2 to 4. The scope includes mathematical reasoning and problem-solving related to integrals.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant presents the integral problem for review.
  • Another participant suggests that the original poster should clarify their question or intent in the post.
  • A different participant proposes a substitution method using \(u=9-x\) and \(v=3+x\) and suggests adding both integrals.
  • A later reply includes an attachment, though its content is not specified in the discussion.

Areas of Agreement / Disagreement

There is no clear consensus on the approach to solving the integral, as participants have offered different suggestions and clarifications without resolving the problem.

Contextual Notes

The discussion lacks detailed mathematical steps or assumptions that may be necessary for a complete understanding of the integral's evaluation.

rasi
Messages
18
Reaction score
0
could you look at this problem please. thanks for now.

[tex]\int_{2}^{4}\frac{\sqrt{ln\left ( 9-x \right )}}{\sqrt{ln\left ( 9-x \right )}+\sqrt{ln(x+3)}}dx[/tex]
 
Physics news on Phys.org
Use u=9-x and v = 3+x then add both integrals.
 
See attachment :
 

Attachments

  • Definite Integral.JPG
    Definite Integral.JPG
    26.4 KB · Views: 505

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K