JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

I_n=\int\limits_{1}^e\left(\log _e x\right)^n d x

(

n

is a positive integer), then

I_{2012}+(2012) I_{2011}=

View answer and explanation

Correct option: B

I_{2013}+(2013) I_{2012}

Option B (

I_{2013}+(2013) I_{2012}

) is correct because it is derived from the recurrence relation obtained by integration by parts.

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