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Definite Integration question

2021 · 24 Feb · Shift 2 · Q24

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 24 Feb · Shift 2 · Q24

Definite Integration question

2021 · 24 Feb · Shift 2 · Q24

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral,

\int\limits_1^3 {[{x^2} - 2x - 2]dx}

, where [x] denotes the greatest integer less than or equal to x, is :

A
$-$ 5
B
$- \sqrt 2 - \sqrt 3 + 1$
C
$-$ 4
D
$- \sqrt 2 - \sqrt 3 - 1$

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