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dx/(1+e^x)
Solving integrals/ dx/(1+e^x)

Integral of dx/(1+e^x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |    1      
 |  ------ dx
 |       x   
 |  1 + E    
 |           
/            
0
∫011ex+1 dx\int\limits_{0}^{1} \frac{1}{e^{x} + 1}\, dx 
Integral(1/(1 + E^x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                         
 |                                          
 |   1                /       x\      /   x\
 | ------ dx = C - log\2 + 2*e / + log\2*e /
 |      x                                   
 | 1 + E                                    
 |                                          
/
∫1ex+1 dx=C−log⁡(2ex+2)+log⁡(2ex)\int \frac{1}{e^{x} + 1}\, dx = C - \log{\left(2 e^{x} + 2 \right)} + \log{\left(2 e^{x} \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.901-1
Plot the graph f(x)
The answer [src] 
1 - log(1 + E) + log(2)
−log⁡(1+e)+log⁡(2)+1- \log{\left(1 + e \right)} + \log{\left(2 \right)} + 1 
=
= 
1 - log(1 + E) + log(2)
−log⁡(1+e)+log⁡(2)+1- \log{\left(1 + e \right)} + \log{\left(2 \right)} + 1 
1 - log(1 + E) + log(2)
Numerical answer [src] 
0.379885493041722
0.379885493041722
The graph
Integral of dx/(1+e^x) dx

    Use the examples entering the upper and lower limits of integration.

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