Is it possible to integrate this?

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Homework Help Overview

The discussion revolves around the integration of the function \(\int \cos(x^2) \, dx\), exploring whether it can be expressed in terms of elementary functions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the possibility of integrating the function, with some suggesting that it cannot be done using elementary functions. Others express curiosity about potential methods or alternative approaches.

Discussion Status

The conversation includes varying opinions on the integrability of the function, with some participants providing insights into special functions that may relate to the integral. There is no explicit consensus, but the discussion is active and engaging.

Contextual Notes

Some participants reference specific functions and methods, indicating a level of complexity in the integration process. The original poster seeks clarification on methods without providing a definitive solution.

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Is it possible to integrate [tex]\int {cos (x^2)} dx[/tex] ?
If so, which method do I have to use?
 
Last edited:
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Not using elementary functions, no.
 
\!\(\@\(π\/2\)\ FresnelC[\@\(2\/π\)\ x]\)
 
just curious... how would you do it then? is there a way at all?
 
mathmike answered that in a somewhat messy way.
 

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