Expanding exponential fucntions

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Homework Help Overview

The original poster seeks assistance in expanding the expressions (1+e^(2x)) and (1+e^x)^2, expressing confusion about their differences. The context involves exponential functions and their expansions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the expansion of (a+b)^2 as a potential starting point. Some express skepticism about the need to expand 1 + e^(2x). Others mention a connection to calculus integration problems involving u-substitution.

Discussion Status

Participants are exploring different methods of expansion and questioning the necessity of expanding certain expressions. Some guidance has been offered regarding the use of the formula for (a+b)², but no consensus has emerged on the best approach to the original poster's question.

Contextual Notes

There is mention of integration problems that require u-substitution, and some participants note confusion regarding terminology, such as "partial functions" instead of "partial fractions." This indicates a potential misunderstanding that may affect the discussion.

ThomasJR
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Homework Statement



Expand (1+e^(2x)), and (1+e^x)^2. Are they any different. I am confused please help

Homework Equations





The Attempt at a Solution

 
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How would you expand [tex](a+b)^2[/tex]?
 
Also, there's really nothing to do in expanding 1 + e2x.
 
I want to see how you guys expand it because i am stuck with a calculus integration problems which asks me to use u-substitution.
Integrate , 1/(1+e^x) Without using partial functions
 
What is the formula for (a+b)² ?

Now you take a=1 and b=e^x.
 
ThomasJR said:
I want to see how you guys expand it because i am stuck with a calculus integration problems which asks me to use u-substitution.
Integrate , 1/(1+e^x) Without using partial functions

Use the hint from Micromass to expand (1 + ex)2.

As far as your integration problem is concerned, partial fractions (not partial functions) is not the way to go to integrate 1/(1 + e^x).
 
Yeah, for the integration, I would substitute e^x with something else...
 

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