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