\( \int_{0}^{10} e^{x-[x]} d x([\cdot] \) denotes integral part \( ) \) is equal to....

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\( \int_{0}^{10} e^{x-[x]} d x([\cdot] \) denotes integral part \( ) \) is equal to
\( \mathrm{P} \)
(1) \( 10(e-1) \)
(2) \( \frac{e-1}{10} \)
(3) \( \frac{e^{10}-1}{10} \)
(4) \( \frac{e^{10}-1}{e-1} \)



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