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(Sqrt[Pi/2]*FresnelC[Sqrt[a]*Sqrt[2/Pi]*x])/Sqrt[a]

Integrate[Cos[a*x^2], x] ==
(Sqrt[Pi/2]*FresnelC[Sqrt[a]*Sqrt[2/Pi]*x])/Sqrt[a] 

                 2
Integrate[Cos[a x ], x] == 

     Pi                        2
Sqrt[--] FresnelC[Sqrt[a] Sqrt[--] x]
     2                         Pi
-------------------------------------
               Sqrt[a]
Time to compute: 0.01 second
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