- #1
philipc
- 57
- 0
just wonder if someone could help me solve this integral,
thanks
(e^-2x) / (1+e^-x)
thanks
(e^-2x) / (1+e^-x)
How Do You Solve the Integral of (e^-2x) / (1+e^-x)?
- Thread starter philipc
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- Integral
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Homework Help Overview
The discussion revolves around the integral of the function (e^-2x) / (1+e^-x), which falls within the subject area of calculus, specifically focusing on integration techniques.
Discussion Character
- Exploratory, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants explore various substitution methods, such as letting t = e^-x or u = (1 + e^-x), and discuss algebraic manipulation to simplify the integral.
Discussion Status
The conversation includes multiple suggestions for substitution and algebraic manipulation, indicating a collaborative exploration of potential methods. There is no explicit consensus on a single approach, but several participants are contributing ideas that may lead to a solution.
Contextual Notes
Some participants express uncertainty about the integration process and the necessity of including differential elements in their substitutions. The original problem's complexity is acknowledged, with hints provided to guide the discussion without revealing complete solutions.
- #2
Chen
- 976
- 1
Can you integrate (t2) / (1 + t)? I'm guessing that's how you should do it, since I don't really know... 
- #3
faust9
- 690
- 2
philipc said:
Do some algebraic manipulation of the original problem. If you do, the problem wil reduce to a form that allows U substitution.
- #4
TMcCloskey
- 3
- 0
I think Chen was on the right track, ie, use substitution t = e^-x
but don't forget about dx -- should come to a much simpler integration
but don't forget about dx -- should come to a much simpler integration
- #5
thermodynamicaldude
- 58
- 1
k..substitute u = (1 + e^-x)...then find du...work from there...and you should get the correct answer...
...hint...remember that u-1 = e^-x...
...hint...remember that u-1 = e^-x...
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