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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x*e^(5*x)*dx
- Integral of (dx)/(sqrt(x^(2)+6x+10))
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Integral of (cos(x/2))^4
- Integral of cos^2(x)/sin^3(x)
- Graphing y =:
- 1/(1+e^(-x))
- Derivative of:
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1/(1+e^(-x))
- Limit of the function:
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1/(1+e^(-x))
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Identical expressions
- one /(one +e^(-x))
- 1 divide by (1 plus e to the power of ( minus x))
- one divide by (one plus e to the power of ( minus x))
- 1/(1+e(-x))
- 1/1+e-x
- 1/1+e^-x
- 1 divide by (1+e^(-x))
- 1/(1+e^(-x))dx
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Similar expressions
- 1/(1-e^(-x))
- 1/(1+e^(x))
Integral of 1/(1+e^(-x)) dx
The solution
You have entered
[src]
1 / | | 1 | 1*------- dx | -x | 1 + e | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{1 + e^{- x}}\, dx$$
Integral(1/(1 + E^(-x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 / -x\ / -x\ | 1*------- dx = C - log\2*e / + log\2 + 2*e / | -x | 1 + e | /
$$\int 1 \cdot \frac{1}{1 + e^{- x}}\, dx = C + \log{\left(2 + 2 e^{- x} \right)} - \log{\left(2 e^{- x} \right)}$$
The graph
The answer
[src]
/ -1\ 1 - log(2) + log\1 + e /
$$- \log{\left(2 \right)} + \log{\left(e^{-1} + 1 \right)} + 1$$
=
=
/ -1\ 1 - log(2) + log\1 + e /
$$- \log{\left(2 \right)} + \log{\left(e^{-1} + 1 \right)} + 1$$
The graph
Use the examples entering the upper and lower limits of integration.