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Definite Integration question

2022 · 27 Jul · Shift 2 · Q29

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 27 Jul · Shift 2 · Q29

Definite Integration question

2022 · 27 Jul · Shift 2 · Q29

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

\int\limits_{0}^{2}\left(\left|2 x^{2}-3 x\right|+\left[x-\frac{1}{2}\right]\right) \mathrm{d} x

, where [t] is the greatest integer function, is equal to :

A
$\frac{7}{6}$
B
$\frac{19}{12}$
C
$\frac{31}{12}$
D
$\frac{3}{2}$

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