JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int_0^2\left[x^2\right] d x

, where

[x]

is the greatest integer

\leq \mathrm{x}

View answer and explanation

Correct option: C

5-\sqrt{2}-\sqrt{3}

Option C (

5-\sqrt{2}-\sqrt{3}

) is correct because it is the result of evaluating the definite integral of the greatest integer function of x squared over the interval [0, 2].

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