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(-(Sqrt[a + b + c + E*x^2]/x) + Sqrt[E]*Log[2*(E*x + Sqrt[E]*Sqrt[a + b + c + E*x^2])])/d

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

                              2
          Sqrt[a + b + c + E x ]
Integrate[----------------------, x] == 
                      2
                   d x

                       2
   Sqrt[a + b + c + E x ]
(-(----------------------) + 
             x
 
    Sqrt[E] Log[2 (E x + 
 
                                     2
         Sqrt[E] Sqrt[a + b + c + E x ])]) / d
Time to compute: 0.08 second
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