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(2*x^(3/2))/3 + (c*Sqrt[9 + x^2])/b + (3*c*Log[9*x])/b - (3*c*Log[2*(3 + Sqrt[9 + x^2])])/b


Integrate[Sqrt[x] + (c*Sqrt[9 + x^2])/(b*x), x] ==
(2*x^(3/2))/3 + (c*Sqrt[9 + x^2])/b + (3*c*Log[9*x])/b - (3*c*Log[2*(3 + Sqrt[9 + x^2])])/b



                                2
                    c Sqrt[9 + x ]
Integrate[Sqrt[x] + --------------, x] == 
                         b x

   3/2               2
2 x      c Sqrt[9 + x ]   3 c Log[9 x]
------ + -------------- + ------------ - 
  3            b               b
 
                           2
  3 c Log[2 (3 + Sqrt[9 + x ])]
  -----------------------------
                b

Time to compute: 0.04 second

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