JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Application +4 | -1

For any real number

x

, the value of

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

, is

View answer and explanation

Correct option: C

x[x]-\frac{1}{2}[x]([x]+1)

Option C (

x[x]-\frac{1}{2}[x]([x]+1)

) is correct because it represents the general form of the integral of the greatest integer function from 0 to x.

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