Can someone help me solve this integral? (1/(1+e^x))dx

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Homework Help Overview

The discussion revolves around solving the integral of the function (1/(1+e^x)) with respect to x, which falls under the subject area of calculus, specifically integration techniques.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants suggest using substitution methods, specifically u=e^x or u=1+e^x, to simplify the integral. There is mention of applying partial fractions as part of the integration process.

Discussion Status

Several approaches have been proposed, and participants are exploring different substitution techniques. One participant expresses gratitude for the guidance received, indicating that the problem became more manageable with the suggestions provided.

Contextual Notes

No specific constraints or missing information have been noted in the discussion.

rockfan0005@g
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Help W/ Integration--Calc 1

Hey everybody,
I have a problem that I don't know how to solve...can someone help me out:
Integral (1/(1+e^x))dx
 
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Try using substitution first for [itex]u=e^x[/itex] which will give you

[tex]\int \frac{du}{u(1+u)}[/tex]
and then use partial fractions to get some [itex]A,B[/itex] where

[tex]\int \frac{A}{u}du + \int \frac{B}{1+u}du[/tex]

and from there try and see if you can find a solution.
 


You can use the substitution jeffreydk said or use u=1+e^x. Both are fine.
 


Thanks guys, so much...answer wasn't too difficult after that.
 

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