If \( \int_{0}^{1} e^{x^{2}}(x-\alpha) d x=0 \), then \( \mathrm{P}...

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If \( \int_{0}^{1} e^{x^{2}}(x-\alpha) d x=0 \), then
\( \mathrm{P} \)
(1) \( 1\alpha2 \)
(2) \( \alpha0 \)
(3) \( 0\alpha1 \)
(4) \( \alpha=0 \)
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