JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

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 is correct because the integral is evaluated by splitting it into intervals where the greatest integer function is constant.

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