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Question

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 :

$-$1
${{ - 5} \over 4}$
${{\sqrt {17} - 13} \over 8}$
${{\sqrt {17} - 16} \over 8}$

Solution

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