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Indefinate integrals, erroneus Natural log?


Hi,

In preparation for a major exam tomorrow, I was just checking some of my 
answers to past-papers with mathematica, I fed it this input:

In[117]:=
\!\(\[Integral]\((xE\^\(2 x\))\) \[DifferentialD]x\)
Out[117]=
\!\(xE\^\(2\ x\)\/\(2\ Log[xE]\)\)

I marked myself wrong and moved on to the next question, but I happened 
accross the actual mark-scheme which said I was correct. It gave this 
answer:

((1/2)xE^(2x))-(1/4)e^(2x)

My Integral calculus isn't so strong, so I don't know if the additional 
natural log should be there, or if the two expressions are identical.

Thanks




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