JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Application +4 | -1

\{x\}

denotes the fractional part of

x

, then

\int\limits_{0}^x\left(\{x\}-\frac{1}{2}\right) d x

is equal to

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because it represents the general form of the integral of the fractional part of x minus 1/2 from 0 to x.

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