[SCRA 1996]
A) $ (x+1)e^{x}+c $
B) $ (x-1)e^{x}+c $
C) $ xe^{x}+1+c $
D) $ xe^{x}-1+c $
Correct Answer: B
$ \int_{{}}^{{}}{xe^{x}dx}=x.e^{x}-\int_{{}}^{{}}{1.e^{x}dx} $ $ =xe^{x}-e^{x}+c=e^{x}(x-1)+c $ .
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