new integrals

\hspace{-16}$Calculate $\mathbf{\int_{1}^{\infty}\left(\frac{\ln x}{x}\right)^{2011}dx=}$

3 Answers

1
samagr@ ·

Taking n=2011, and framing a RECURSIVE RELATION by using "by parts" will make your life simple

262
Aditya Bhutra ·

i got 2011 !(2010)2011

1
vikrant001 ·

i am getting the same as aditya, just a slight difference , by using the gamma function answer should be ,

2011 ! (2010)2012

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