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(x*Sqrt[c + a*x^2])/2 + (c*Log[2*(a*x + Sqrt[a]*Sqrt[c + a*x^2])])/(2*Sqrt[a])

Integrate[Sqrt[c + a*x^2], x] ==
(x*Sqrt[c + a*x^2])/2 + (c*Log[2*(a*x + Sqrt[a]*Sqrt[c + a*x^2])])/ (2*Sqrt[a]) 

                      2
Integrate[Sqrt[c + a x ], x] == 

              2
x Sqrt[c + a x ]
---------------- + 
       2
 
                                      2
   c Log[2 (a x + Sqrt[a] Sqrt[c + a x ])]
   ---------------------------------------
                  2 Sqrt[a]
Time to compute: 0.05 second
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