Let \( \mathrm{f} \) be a continuous function satisfying the equati...

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Let \( \mathrm{f} \) be a continuous function satisfying the equation
\( \mathrm{P} \) \( \int_{0}^{x} f(t) d t+\int_{0}^{x} t f(x-t) d t=e^{-x}-1 \), then find the value of

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\( e^{9} f(8) \) is equal to
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