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The value of $\int_{-1}^1 x^2 e^{[x^3]},dx$, where $[t]$ denotes the greatest integer $\leq t$, is:
(1) $\dfrac{e + 1}{3}$
(2) $\dfrac{e - 1}{3e}$
(3) $\dfrac{e + 1}{3e}$
(4) $\dfrac{1}{3e}$
BETA
