If \( \int x^{2} e^{-2 x} d x=e^{-2 x}\left(a x^{2}+b x+c\right)+d ...

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If \( \int x^{2} e^{-2 x} d x=e^{-2 x}\left(a x^{2}+b x+c\right)+d \), then
P
(1) \( a=-\frac{1}{2} \)
(2) \( b=\frac{1}{2} \)
W
(3) \( c=-\frac{1}{4} \)
(4) \( d \in R \)
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