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ExpIntegralEi[3*(a + Log[b*x])]/(b^3*E^(3*a))

Integrate[x^2/(a + Log[b*x]), x] ==
ExpIntegralEi[3*(a + Log[b*x])]/(b^3*E^(3*a)) 

                2
               x
Integrate[------------, x] == 
          a + Log[b x]

ExpIntegralEi[3 (a + Log[b x])]
-------------------------------
             3  3 a
            b  E
Time to compute: 0.03 second
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