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

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

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

, then

I_n+n I_{n-1}=

View answer and explanation

Correct option: B

x(\log x)^n

Option B (

x(\log x)^n

) is correct because integration by parts simplifies the expression to the given result.

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