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Definite Integration question

2021 · 25 Feb · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 25 Feb · Shift 1 · Q26

Definite Integration question

2021 · 25 Feb · Shift 1 · Q26

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int\limits_{ - 1}^1 {{x^2}{e^{[{x^3}]}}} dx

, where [ t ] denotes the greatest integer

\le

t, is :

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

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