Mathematics · 2022
JEE Main · 29 July 2022, Shift 2 · Q5
If [t] denotes the greatest integer ≤ t, then the value of ∫_0^1[2 x-|3 x^2-5 x+2|+1] d x is:
If $\displaystyle [t]$ denotes the greatest integer $\displaystyle \leq t$, then the value of $\displaystyle \int_0^1\left[2 x-\left|3 x^2-5 x+2\right|+1\right] \mathrm{d} x$ is :
Official answer
(1)
$\displaystyle \frac{\sqrt{37}+\sqrt{13}-4}{6}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.