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Sqrt[E]*(-(Sqrt[x]*Cos[x]) + Sqrt[Pi/2]*FresnelC[Sqrt[2/Pi]*Sqrt[x]])

Integrate[Sqrt[E]*Sqrt[x]*Sin[x], x] ==
Sqrt[E]*(-(Sqrt[x]*Cos[x]) + Sqrt[Pi/2]*FresnelC[Sqrt[2/Pi]*Sqrt[x]]) 

Integrate[Sqrt[E] Sqrt[x] Sin[x], x] == 

Sqrt[E] (-(Sqrt[x] Cos[x]) + 
 
         Pi                2
    Sqrt[--] FresnelC[Sqrt[--] Sqrt[x]])
         2                 Pi
Time to compute: 0.03 second
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