JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int x^n \log x d x=

View answer and explanation

Correct option: D

\frac{x^{n+1}}{n+1}\left\{\log x-\frac{1}{n+1}\right\}+c

Option D (

\frac{x^{n+1}}{n+1}\left{\log x-\frac{1}{n+1}\right}+c

) is correct because it is the result of integrating

x^n \log x

using integration by parts.

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