If [t] denotes the greatest integer $\le \mathrm{t}$, then the value of ${{3(e - 1)} \over e}\int\limits_1^2 {{x^2}{e^{[x] + [{x^3}]}}dx} $ is :

Question

$\mathrm{e^8-e}$

$\mathrm{e^7-1}$

$\mathrm{e^9-e}$

$\mathrm{e^8-1}$

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