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Definite Integration question

2022 · 28 Jun · Shift 1 · Q28

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 28 Jun · Shift 1 · Q28

Definite Integration question

2022 · 28 Jun · Shift 1 · Q28

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let [t] denote the greatest integer less than or equal to t. Then, the value of the integral

\int\limits_0^1 {[ - 8{x^2} + 6x - 1]dx}

is equal to :

A
$-$ 1
B
${{ - 5} \over 4}$
C
${{\sqrt {17} - 13} \over 8}$
D
${{\sqrt {17} - 16} \over 8}$

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