JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Understanding +4 | -1

Let

f(x)=\frac{1}{x} \ln \left(\frac{x}{e^x}\right)

then its primitive w.r.t.

x

View answer and explanation

Correct option: C

\frac{1}{2} \ln ^2 \mathrm{x}-\mathrm{x}+\mathrm{C}

Option C (

\frac{1}{2} \ln ^2 \mathrm{x}-\mathrm{x}+\mathrm{C}

) is correct because it is the result of integrating the given function after simplification using logarithm properties.

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