Learn How to Integrate x^x with Ease | Expert Tips and Tricks

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Discussion Overview

The discussion centers around the integration of the function x^x with respect to x. Participants explore whether this integral can be expressed in terms of elementary functions and discuss potential methods for approaching the problem, including numerical integration.

Discussion Character

  • Exploratory, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant asks how to integrate x^x dx.
  • Another participant suggests that the integral can only be approximated.
  • A third participant questions whether the integral is an elementary function.
  • One participant expresses doubt that the integral can be solved analytically, suggesting numerical methods instead.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are multiple competing views regarding the integrability of x^x and the methods to approach it.

Contextual Notes

There are unresolved assumptions regarding the definitions of elementary functions and the conditions under which numerical integration may be applicable.

Derivative86
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how do you integrate x^x dx? Thx
 
Physics news on Phys.org
Approximately. :frown:
 
Not an elementry function?
 
Ummm...I don't think that can be done, except numerically.

Edit : Too little, too late.
 

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