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Why doesn't the natural log or Ln not have an integration yet you can get it from an integrated expression?

 Oct 28, 2016
 #1
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It does have an integration.......

 

∫ ln x   dx

 

Let  v =  x       dv  =  1 dx      u = ln x      du  = 1/x  dx

 

So we have

 

∫ u dv   =  u * v   - ∫ v du  

 

∫ ln x (1)  dx    = ln x * x  - ∫ x (1/x)   dx  

 

∫ ln x  dx  =  x * ln x   -  ∫ 1 dx

 

∫ ln x  dx  =   x * ln x -  x   + C

 

∫ ln x  dx  =  x (ln x - 1) + C

 

 

cool cool cool 

 Oct 28, 2016

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