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1/1+e^x

Integral of 1/1+e^x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |  /     x\   
 |  \1 + E / dx
 |             
/              
0              
$$\int\limits_{0}^{1} \left(e^{x} + 1\right)\, dx$$
Integral(1 + E^x, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. The integral of the exponential function is itself.

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                        
 |                         
 | /     x\               x
 | \1 + E / dx = C + x + E 
 |                         
/                          
$$\int \left(e^{x} + 1\right)\, dx = e^{x} + C + x$$
The graph
The answer [src]
E
$$e$$
=
=
E
$$e$$
E
Numerical answer [src]
2.71828182845905
2.71828182845905
The graph
Integral of 1/1+e^x dx

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