Integral of cos(1/x) dx: Solution

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Discussion Overview

The discussion revolves around the integral of the function cos(1/x) with respect to x. Participants explore the nature of this integral, particularly in relation to elementary functions and the use of computational tools.

Discussion Character

  • Homework-related, Conceptual clarification

Main Points Raised

  • One participant asks for the integral of cos(1/x) dx.
  • Another participant suggests using Wolfram Alpha as a resource for such integrals, indicating that it can provide answers for similar questions.
  • A third participant expresses gratitude for the help received.
  • One participant comments on the frequency of similar questions and notes that very few functions can be integrated in terms of elementary functions, implying a conceptual challenge in finding a solution.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the integrability of cos(1/x) in terms of elementary functions, and the discussion reflects differing perspectives on the use of computational tools versus analytical methods.

Contextual Notes

The discussion does not resolve the question of whether the integral can be expressed in elementary terms, and it highlights the limitations of understanding integrals of certain functions.

Emmanuel_Euler
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what is the integral of cos(1/x) dx ??
 
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thank for help (delta)
 
You have posted a number of these "What is the integral of ... ". Do you understand that very few function can be integrated in terms of elementary functions?
 

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