Is it possible to integrate this?

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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?
 
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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.