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Hai 1. I am anitha from chennai. what is integral X^n logX? anitha

Hai


1. I am  anitha from chennai. what is integral X^n logX?


anitha


 


 

Grade:Upto college level

1 Answers

vikas askiitian expert
509 Points
10 years ago

I = xnlogx dx

 

choose logx as first function & xn as second then using integration by parts

 

I = logx [xndx] - { d/dx (logx) [xndx]}dx

 

I = logx[xn+1]/n+1 - { xn+1/x(n+1)}dx

 

I = logx[xn+1]/n+1 - { xn/n+1}dx

 

I = logx[xn+1]/n+1 - {xn+1}/(n+1)2 + C

 

approve if u like my ans

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