JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

For any natural number

n

, the value of

\int_0^{n^2}[\sqrt{x}], d x

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because it represents the sum of the areas under the greatest integer function of the square root of x.

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