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1/1+e^x
Solving integrals/ 1/1+e^x

Integral of 1/1+e^x dx

Limits of integration:

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v

The graph:

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Piecewise:

The solution

You have entered [src] 
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∫01(ex+1) dx\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.

      ∫ex dx=ex\int e^{x}\, dx = e^{x}

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

      ∫1 dx=x\int 1\, dx = x

    The result is: ex+xe^{x} + x

  2. Now simplify:

    x+exx + e^{x}

  3. Add the constant of integration:

    x+ex+constantx + e^{x}+ \mathrm{constant}

The answer is:

x+ex+constantx + e^{x}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | /     x\               x
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∫(ex+1) dx=ex+C+x\int \left(e^{x} + 1\right)\, dx = e^{x} + C + x
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.05.0
Plot the graph f(x)
The answer [src] 
E
ee 
=
= 
E
ee 
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.

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