Integrating 2/((e^(-x))+1): Solving the Unknown Integral

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Homework Help Overview

The discussion revolves around the integral of the function 2/((e^(-x))+1), which falls under the subject area of calculus, specifically integration techniques.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore rewriting the integrand and consider using substitution methods. There is an attempt to simplify the expression by multiplying the numerator and denominator by e^x. One participant expresses confusion about their approach and seeks clarification on the substitution process.

Discussion Status

The discussion is ongoing, with participants sharing hints and exploring different interpretations of the integral. Some guidance has been offered regarding rewriting the integrand and substitution, but there is no explicit consensus on the correct approach yet.

Contextual Notes

One participant expresses frustration with their attempts, indicating a possible lack of clarity in their understanding of the substitution method. There may be assumptions about the familiarity with integration techniques that are not explicitly stated.

bigdummy3000
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Homework Statement





integral of 2/((e^(-x))+1)

Homework Equations



how do you do this?



The Attempt at a Solution



no freaking clue! this is the BS i came up with

2(x-ln(e^-x + 1) + C)
 
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You can rewrite the integrand and then use a simple substitution. Hint: multiply the numerator and denominator by e^x and then simplify.
 
Last edited:
Dunkle said:
You can rewrite the integrand and then use a simple substitution. Hint: multiply the numerator and denominator by e^x and then simplify.

so then...i want to find the integral of e^x/(e^x + 1)...and i think i want to use substitution? u = e^x + 1. but then i do something wrong somewhere...i'm getting retarded answers...
 
If [itex]u=e^x+1[/itex] then du=?
 

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