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ArcTan[(Sqrt[b]*x)/Sqrt[a - b*x^2]]/Sqrt[b]


Integrate[1/Sqrt[a - b*x^2], x] ==
ArcTan[(Sqrt[b]*x)/Sqrt[a - b*x^2]]/Sqrt[b]



                1
Integrate[--------------, x] == 
                      2
          Sqrt[a - b x ]

         Sqrt[b] x
ArcTan[--------------]
                   2
       Sqrt[a - b x ]
----------------------
       Sqrt[b]

Time to compute: 0.03 second

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