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


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



           a x
Integrate[E    Log[x], x] == 

                       a x
-ExpIntegralEi[a x] + E    Log[x]
---------------------------------
                a

Time to compute: 0.01 second

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