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Log[-b - c*E^(a*x)]/(a*c)

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

              a x
             E
Integrate[----------, x] == 
                 a x
          b + c E

            a x
Log[-b - c E   ]
----------------
      a c
Time to compute: 0.01 second
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