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(-2*EllipticE[(Pi - 2*a*x)/4, 2])/a

Integrate[Sqrt[Sin[a*x]], x] ==
(-2*EllipticE[(Pi - 2*a*x)/4, 2])/a 

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

             Pi - 2 a x
-2 EllipticE[----------, 2]
                 4
---------------------------
             a
Time to compute: 1.05 second
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