How Can I Solve the Integration of (e^-x)/x Using Series?

  • Thread starter ريمان
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In summary, the conversation is about a problem with an integral involving exponential and rational functions. The possible solution of using integration by parts is mentioned, but it is pointed out that it may not work well. The suggestion to use Taylor series is also brought up, and the conversation ends with a discussion about knowledge of Arabic and solving the problem using series.
  • #1
ريمان
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how I can slove this intergation

((e)^-x)\x)

tank you
 
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  • #2
what have you tried?

[tex] \int \frac{e^{-x}}{x} [/tex]? use integration by parts.
 
  • #3
tank you master courtrigad

I tray but I don't get it

tank you
 
  • #4
Let [tex] u = e^{-x} [/tex] and [tex] dv = \frac{1}{x} [/tex]
 
  • #5
courtrigrad said:
Let [tex] u = e^{-x} [/tex] and [tex] dv = \frac{1}{x} [/tex]

That won't get you very far in evaluating the integral, I don't think parts will at all, I think I remember a post from a while ago that this can't be integrated in terms of elementary functions.
 
  • #6
just do it multiple times
 
  • #7
courtrigrad said:
just do it multiple times

And it still won't work very well, if you let dv=1/x then you get a natural log that will make things messy, and if you let u=1/x then you'll just get e-x/x2, e-x/x3 etc..
 
  • #9
hi

and whit is the soultions

tank you
 
  • #10
hi

is there anybody can solve this proplem
 
  • #11
hi

waher is smart people in math

any genis here
 
  • #12
Just for your reference, ريمان, the people who help out here aren't here to do the problem for you or give you the answer outright. We'll just point you in the right direction/ correct what you did wrong and give you a boost. Please respect that.
 
  • #13
ريمان said:
how I can slove this intergation

((e)^-x)\x)

tank you
قبل ما تسءل٬ جرب ال سؤ ال
هذا السؤال لا تقدر أن تكمله

I think that was a little clearer.. :P My written Arabic's a little rusty though.

Taylor Series Solution بس تقدر تعمل
 
Last edited:
  • #14
hi اهلاً

I'm solve this problem befor some days by Series

are you know arabic
 
  • #15
ريمان said:
hi اهلاً

I'm solve this problem befor some days by Series

are you know arabic
ا, بس ما بعرف لغة الفصحى
 

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