A problem

  • Thread starter Murad A.Omar
  • Start date
  • #1
hi
how are you all
can you help me in finding the anti derivative of the function
x/lnx
 

Answers and Replies

  • #2
As-salaam alaikum!

There's no closed-form solution for that integral, unfortunately.
 
  • #3
rutwig
44
1
Although no elementary functions can be found, a closed expression is

[inte]x/Ln(x)dx= -Ei(1,2Ln(x)),

so that you can approximate the values of the function.

P.S: It is not infortunate (for me) that there is no primitive, since the Ei function is an essential ingredient of the theory and has led to marvellous new insights.
 

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