Integrating 1/x*e^x dx from 0 to s, how to do it

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Homework Help Overview

The discussion revolves around the integration of the function (1/x)e^(-x) over the interval from 0 to s, with a specific focus on how to handle the lower limit approaching zero without including the upper limit s directly in the integration process.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the idea of integrating from [0, s-a] as a approaches 0, questioning the validity and sensibility of this approach. There is also mention of relating the integral to the lower gamma incomplete function and evaluating it under similar limits.

Discussion Status

The discussion is ongoing, with participants offering different approaches and questioning the assumptions behind the integration limits. There is no explicit consensus, but some guidance has been provided regarding the limits of integration and their implications.

Contextual Notes

Participants are navigating the challenge of integrating a function with a singularity at the lower limit and are considering the implications of changing the parameters of integration.

smoodliar
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Hi

I have an integral as follows,

int((1/x)exp(-x),x,0,s)

I want to integrate from [0,s).

My question is how to integrate without including s as the upper bound.

Any help will be appreciated
 
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Integrate from [0,s-a] in the limit as a -> 0?
 


Hey

Thanks for the reply.

If the integral is the lower gamma incomplete function, which is

int(exp(-t)*t^(a-1),t,0,x)

how would I be able to evaluate the integral between [0,x-a) as a->0 ?
 


Feldoh said:
Integrate from [0,s-a] in the limit as a -> 0?

well u are right

but i don't know, his question doest sound too sensible to me

then by anser u gave it obviously means changing parameters of integration
 


Hi sachinism

I hope I cleared up my question with my last post.

Any help will be great
 

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