Let \( \int e^{x}\left\{f(x)-f^{\prime}(x)\right\} d x=\phi(x) \). Then \( \int e^{x} f(x) d x \...

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Let \( \int e^{x}\left\{f(x)-f^{\prime}(x)\right\} d x=\phi(x) \). Then \( \int e^{x} f(x) d x \) is
(A) \( \phi(x)+e^{x} f(x) \)
(B) \( \phi(x)-e^{x} f(x) \)
(C) \( \frac{1}{2}\left\{\phi(x)+e^{x} f(x)\right\} \)
(D) \( \frac{1}{2}\left\{\phi(x)+e^{x} f^{\prime}(x)\right\} \)
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