What is the integration of 1/ln(x)

  • Context: Graduate 
  • Thread starter Thread starter saeed69
  • Start date Start date
  • Tags Tags
    Integration
Click For Summary
SUMMARY

The integration of 1/ln(x) does not have an elementary anti-derivative. This conclusion is supported by the discussion and confirmed by the computational tool Wolfram Alpha. Users in the forum, including a participant named Compuchip, quickly reached the same conclusion, emphasizing the complexity of this integral.

PREREQUISITES
  • Understanding of calculus, specifically integration techniques.
  • Familiarity with logarithmic functions and their properties.
  • Knowledge of elementary functions and anti-derivatives.
  • Experience with computational tools like Wolfram Alpha for mathematical analysis.
NEXT STEPS
  • Research the properties of non-elementary integrals.
  • Explore advanced integration techniques, such as integration by parts and substitution.
  • Learn about special functions that may arise in complex integrals.
  • Investigate the use of Wolfram Alpha for solving integrals and other mathematical problems.
USEFUL FOR

Mathematics students, educators, and professionals in fields requiring advanced calculus knowledge, particularly those interested in integration and its complexities.

saeed69
Messages
3
Reaction score
0
what is the integration of 1/ln(x)
 
Physics news on Phys.org


Do you have any reason to believe that has an elementary anti-derivative? I see Compuchip got in 1 min. before me- no there is no elementary anti-derivative.
 

Similar threads

Undergrad Integrating 1/x with units (logarithm)
  • · Replies 15 ·
Replies
15
Views
4K
Undergrad Verifying Integration of ##\int_0^1 x^m \ln x \, \mathrm{d}x##
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Did Math DF's integral calculator make a glaring mistake?
  • · Replies 8 ·
Replies
8
Views
3K
High School Why is the definite integral of 1/x from -1 to 1 undefined?
  • · Replies 4 ·
Replies
4
Views
6K
Undergrad Why Are There Different Forms of the Integration Formula for Cosecant?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate How do I apply the method of steepest descents to this integral?
  • · Replies 1 ·
Replies
1
Views
2K
High School Integral of cosecant function: understanding different approaches
  • · Replies 14 ·
Replies
14
Views
4K
Undergrad PF Integral Bee: Share Interesting/Quirky Integrals!
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Having trouble understanding a seemingly simple u-substitution
  • · Replies 5 ·
Replies
5
Views
2K
MHB How can I develop ln(x) into a series for x >= 1 in fluid dynamics?
  • · Replies 1 ·
Replies
1
Views
1K