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

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

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

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

                                  Sqrt[x]
2 Sqrt[2 a - x] Sqrt[x] ArcTan[-------------]
                               Sqrt[2 a - x]
---------------------------------------------
            Sqrt[-(x (-2 a + x))]
Time to compute: 0.05 second
Spread the word: