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-(3 + 2*x*(3 + x*(3 + 2*x)))/(8*E^(2*x))

Integrate[x^3/E^(2*x), x] ==
-(3 + 2*x*(3 + x*(3 + 2*x)))/(8*E^(2*x)) 

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

-(3 + 2 x (3 + x (3 + 2 x)))
----------------------------
              2 x
           8 E
Time to compute: < 0.01 second
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