integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
(Sqrt[2*Pi]*FresnelS[Sqrt[a]*Sqrt[2/Pi]*Sqrt[x]])/Sqrt[a]

Integrate[Sin[a*x]/Sqrt[x], x] ==
(Sqrt[2*Pi]*FresnelS[Sqrt[a]*Sqrt[2/Pi]*Sqrt[x]])/ Sqrt[a] 

          Sin[a x]
Integrate[--------, x] == 
          Sqrt[x]

                                 2
Sqrt[2 Pi] FresnelS[Sqrt[a] Sqrt[--] Sqrt[x]]
                                 Pi
---------------------------------------------
                   Sqrt[a]
Time to compute: 0.02 second
Spread the word: