JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int\limits_{0}^{n^2}[\sqrt{x}] d x,([*]

denotes the greatest integer function

), n \in N

, is

View answer and explanation

Correct option: B

\frac{1}{6} n(n-1)(4 n+1)

Option B (

\frac{{1}}{{6}} n(n-1)(4 n+1)

) is correct because it represents the sum of the greatest integer of the square root of x over the given interval.

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