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JEE Math Practice Question

The value of $$\int\limits_{ - 1}^1 {{x^2}{e^{[{x^3}]}}} dx$$, where [ t ] denotes the greatest integer $$ \le $$ t, is :

  1. A.$${{e + 1} \over 3}$$
  2. B.$${{e - 1} \over {3e}}$$
  3. C.$${1 \over {3e}}$$
  4. D.$${{e + 1} \over {3e}}$$

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