If $I_n=\int(\ln x)^n d x$, then $I_n+n I_{n-1}$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

I_n=\int(\ln x)^n d x

, then

I_n+n I_{n-1}

is equal to

View answer and explanation

Correct option: B

x(\ln x)^n

Option B (

x(\ln x)^n

) is correct because it represents the result of integration by parts applied to the given integral.

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