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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 cosx^2
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Integral of sinh(x)
- Integral of xcos(nx)
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Integral of arcsinx+arccosx
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Identical expressions
- one /(e^(2x)+ one)
- 1 divide by (e to the power of (2x) plus 1)
- one divide by (e to the power of (2x) plus one)
- 1/(e(2x)+1)
- 1/e2x+1
- 1/e^2x+1
- 1 divide by (e^(2x)+1)
- 1/(e^(2x)+1)dx
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Similar expressions
- 1/(e^(2x)-1)
Integral of 1/(e^(2x)+1) dx
The solution
You have entered
[src]
1 / | | 1 | -------- dx | 2*x | E + 1 | / 0
$$\int\limits_{0}^{1} \frac{1}{e^{2 x} + 1}\, dx$$
Integral(1/(E^(2*x) + 1), (x, 0, 1))
The answer (Indefinite)
[src]
/ | / 2*x\ / 2*x\ | 1 log\2*e / log\2 + 2*e / | -------- dx = C + ----------- - --------------- | 2*x 2 2 | E + 1 | /
$$\int \frac{1}{e^{2 x} + 1}\, dx = C - \frac{\log{\left(2 e^{2 x} + 2 \right)}}{2} + \frac{\log{\left(2 e^{2 x} \right)}}{2}$$
The graph
The answer
[src]
/ 2\
log(2) log\1 + e /
1 + ------ - -----------
2 2
$$- \frac{\log{\left(1 + e^{2} \right)}}{2} + \frac{\log{\left(2 \right)}}{2} + 1$$
=
=
/ 2\
log(2) log\1 + e /
1 + ------ - -----------
2 2
$$- \frac{\log{\left(1 + e^{2} \right)}}{2} + \frac{\log{\left(2 \right)}}{2} + 1$$
1 + log(2)/2 - log(1 + exp(2))/2
The graph
Use the examples entering the upper and lower limits of integration.