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Definite Integration question

2023 · 30 Jan · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 30 Jan · Shift 1 · Q26

Definite Integration question

2023 · 30 Jan · Shift 1 · Q26

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

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 :

A
$\mathrm{e^8-e}$
B
$\mathrm{e^7-1}$
C
$\mathrm{e^9-e}$
D
$\mathrm{e^8-1}$

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