JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

For

m>0, n>0

, let

I_{m, n}=\int\limits_{0}^1 x^m(\log x)^n

\mathrm{d} x

, then

I_{5,5}

is given by

View answer and explanation

Correct option: C

-\frac{5 !}{6^6}

Option C (

-\frac{{5 !}}{{6^6}}

) is correct because the integral can be solved by repeated integration by parts.

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