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Definite Integration question

2022 · 29 Jul · Shift 2 · Q27

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 29 Jul · Shift 2 · Q27

Definite Integration question

2022 · 29 Jul · Shift 2 · Q27

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

[t]

denotes the greatest integer

\leq t

, then the value of

\int_{0}^{1}\left[2 x-\left|3 x^{2}-5 x+2\right|+1\right] \mathrm{d} x

is :

A
$\frac{\sqrt{37}+\sqrt{13}-4}{6}$
B
$\frac{\sqrt{37}-\sqrt{13}-4}{6}$
C
$\frac{-\sqrt{37}-\sqrt{13}+4}{6}$
D
$\frac{-\sqrt{37}+\sqrt{13}+4}{6}$

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