JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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n \in \mathbf{N}

, the value of

\int\limits_{0}^n[x] \mathrm{d} x

(where

[x]

is the greatest integer function) is

View answer and explanation

Correct option: B

\frac{n(n-1)}{2}

Option B (

\frac{{n(n-1)}}{{2}}

) is correct because the integral of the greatest integer function from 0 to n can be expressed as a sum of integers from 0 to n-1.

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