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-Sqrt[a^2 + x^2] + x*Log[x + Sqrt[a^2 + x^2]]

Integrate[Log[x + Sqrt[a^2 + x^2]], x] ==
-Sqrt[a^2 + x^2] + x*Log[x + Sqrt[a^2 + x^2]] 

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

       2    2                    2    2
-Sqrt[a  + x ] + x Log[x + Sqrt[a  + x ]]
Time to compute: 0.03 second
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