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-(2 + 6*x + 9*x^2)/(27*E^(3*x))

Integrate[x^2/E^(3*x), x] ==
-(2 + 6*x + 9*x^2)/(27*E^(3*x)) 

            2
           x
Integrate[----, x] == 
           3 x
          E

               2
-(2 + 6 x + 9 x )
-----------------
         3 x
     27 E
Time to compute: < 0.01 second
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