Heklp with an integral involving the exp function

  • Thread starter xnr
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  • #1
xnr
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Hi everyone

I've been dealing with a rather difficult (at least for me) integration problem which I am not able to find in integration tables I've been consulting.
After a variable transformation I ended up with the following sets of integrals:

[tex]\\int[/tex] e[tex]^{y}[/tex]/y[tex]^{2}[/tex]dy from 0 to t (t is not infinity) and

[tex]\\int[/tex] e[tex]^{y}[/tex]/y[tex]^{3}[/tex]dy also from 0 to t and

(sorry I could not get the integral symbol to work, so I used int instead)

thanks
xnr
 

Answers and Replies

  • #2
HallsofIvy
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Neither of those looks convergent (at 0) to me.
 
  • #3
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As Halls said, they diverge at 0. The indefinite integral of exp(y)/y is a non-elementary function known as the "exponential integral" function. Your two integrals may be expressed in terms of the exponential integral function using integration by parts.
 

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