JEE MAIN - Mathematics Bengali (2022 - 29th July Evening Shift - No. 5)

যদি $$[t]$$ বৃহত্তম অখণ্ড সংখ্যা $$ \le t$$, তবে $$\int_0^1 {[2x - |3{x^2} - 5x + 2| + 1]dx} $$ এর মান হবে ঃ
$${{\sqrt {37} + \sqrt {13} - 4} \over 6}$$
$${{\sqrt {37} - \sqrt {13} - 4} \over 6}$$
$${{ - \sqrt {37} - \sqrt {13} + 4} \over 6}$$
$${{ - \sqrt {37} + \sqrt {13} + 4} \over 6}$$

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