$\smallint \,\,{e^{ - \log x}}\,\,\;dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,{e^{ - \log x}}\,\,\;dx

is equal to

View answer and explanation

Correct option: D

\log \,\,\left| {\,x\,} \right|\,\, + \,\,c

Option D (

\log \,\,\left| {\,x\} \right|\,\, + \,\,c

) is correct because the integral of

e^{-\log x}

simplifies to the integral of 1/x, which is log|x| + c.

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