JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

n

is a positive integer and

[x]

is the greatest integer not exceeding

x

, then

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

equals

View answer and explanation

Correct option: C

n / 2

Option C (

n / 2

) is correct because the integral of the fractional part of x from 0 to n is equal to n/2 due to the periodic nature of the function.

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