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(x*Sqrt[9 + x^2]*(45 + 2*x^2) + 243*ArcSinh[x/3])/8

Integrate[(9 + x^2)^(3/2), x] ==
(x*Sqrt[9 + x^2]*(45 + 2*x^2) + 243*ArcSinh[x/3])/8 

                2 3/2
Integrate[(9 + x )   , x] == 

            2           2                x
x Sqrt[9 + x ] (45 + 2 x ) + 243 ArcSinh[-]
                                         3
-------------------------------------------
                     8
Time to compute: 0.04 second
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