Integrate: ln x / x^2

Answers (1)

Solution:   

         I=int fracln xx^2dx 

  We integrate by parts  , putting 

     u=ln x; hspace0.5cmdv=fracdxx^2\ \ du=fracdxx;hspace0.5cmv=-frac1x;\ \ Rightarrow hspace1cmI=-fracln xx+int fracdxx^2=-fracln xx-frac1x+c.

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