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-(-2*a*x + Cos[2*Sqrt[a*x]] + 2*Sqrt[a*x]*Sin[2*Sqrt[a*x]])/(4*a)

Integrate[Sin[Sqrt[a*x]]^2, x] ==
-(-2*a*x + Cos[2*Sqrt[a*x]] + 2*Sqrt[a*x]* Sin[2*Sqrt[a*x]])/(4*a) 

                        2
Integrate[Sin[Sqrt[a x]] , x] == 

-(-2 a x + Cos[2 Sqrt[a x]] + 
 
     2 Sqrt[a x] Sin[2 Sqrt[a x]]) / (4 a)
Time to compute: 0.06 second
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