If \( \int \frac{e^{x-1}}{\left(x^{2}-5 x+4\right)} 2 x d x=A F(x-1...

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If \( \int \frac{e^{x-1}}{\left(x^{2}-5 x+4\right)} 2 x d x=A F(x-1)+B F(x-4)+C \)
P and \( F(x)=\int \frac{e^{x}}{x} d x \), then
(1) \( A=-2 / 3 \)
(2) \( B=(4 / 3) e^{3} \)
(3) \( A=2 / 3 \)
(4) \( B=(8 / 3) e^{3} \)
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