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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
The value of ∫−11x2e[x3]dx\int_{ - 1}^1 {{x^2}{e^{\left[ {{x^3}} \right]}}} dx , where [t]\left[ t \right] denotes the greatest integer ≤t,\le t, is
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Correct option: C
e+13e\frac{{e + 1}}{{3e}}
Option C is correct. The integral is evaluated by splitting it into two parts based on the greatest integer function.

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