JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{1}{x^3}\left[\log x^x\right]^2 d x=

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Correct option: B

\frac{1}{3}(\log x)^3+c

Option B (

\frac{{1}}{{3}}(\log x)^3+c

) is correct because the integral simplifies to this form after using properties of logarithms and substitution.

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