The value of $I = \mathop \smallint \nolimits_0^1 \,x\,\,\left| {x\,\, - \,\,\frac{1}{2}} \right|\,dx$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

I = \int \nolimits_0^1 \,x\,\,\left| {x\,\, - \,\,\frac{1}{2}} \right|\,dx

View answer and explanation

Correct option: C

\frac{1}{8}

Option C (

\frac{1}{8}

) is correct because it is the result of evaluating the definite integral with the absolute value function.

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