JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int\limits_{0}^{\sqrt{2}}\left[x^2\right] d x

, where [.] is the greatest integer function

View answer and explanation

Correct option: C

\sqrt{2}-1

Option C (

\sqrt{2}-1

) is correct because the integral can be evaluated by splitting it into intervals where the greatest integer function has a constant value.

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