$\mathop \smallint \limits_{1/2}^2 \,\,\left| {\,{{\log }_{10}}\,\,x\,} \right|dx$ is equals to

${\log _{10}}\,\left( {2/e} \right)$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \limits_{1/2}^2 \,\,\left| {\,{{\log }_{10}}\,\,x\,} \right|dx

is equals to

View answer and explanation

Correct option: B

\frac{1}{2}\,\,{\log _{10}}\,\,\left( {8/e} \right)

Option B (

\frac{1}{2}\,{\log _{10}}\,\,\left( {8/e} \right)

) is correct because it is the result of evaluating the definite integral after splitting it based on the absolute value of the logarithm.

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