The value of integral $\mathop \smallint \nolimits_0^4 \,\,\left| {\,x\,\, - \,\,1\,} \right|\,\,dx\;\,\,{\rm{is}}$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of integral

\int \nolimits_0^4 \,\,\left| {\,x\,\, - \,\,1\,} \right|\,\,dx\;\,\,\mathrm{is}

View answer and explanation

Correct option: B

\mathrm{5}

Option B (

\mathrm{5}

) is correct because the integral of the absolute value function is evaluated by splitting the integral at the point where the function changes sign.

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