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(E^(c - ((a + b)*f)/(d + E))*ExpIntegralEi[((a + b)*(f + (d + E)*x))/(d + E)])/(d + E)

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

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

  c - ((a + b) f)/(d + E)
(E                        
 
                  (a + b) (f + (d + E) x)
    ExpIntegralEi[-----------------------]) / (d + E)
                           d + E
Time to compute: 0.07 second
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