JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int x^3 \log x d x=

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Correct option: B

\frac{1}{16}\left[4 x^4 \log x-x^4\right]+c

Option B is correct because the integral of x³ log(x) dx is found using integration by parts, resulting in 1/16[4x⁴ log(x) - x⁴] + c.

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