What is the integral from 0 to infinity of 1/(1+e^x) ?

The integral from 0 to infinity of 1/(1+e^x) is diverges

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integral from 0 to infinity of 1/(1+e^x)

\int_{0}^{\infty} \frac{1}{1 + e ^{x}} d x

diverges

Solution steps

\int_{0}^{\infty} \frac{1}{1 + e ^{x}} d x

Compute the indefinite integral:

\int \frac{1}{1 + e ^{x}} d x = - ln ∣ 1 + e^{x} ∣ + x + C

Compute the boundaries:

\int_{0}^{\infty} \frac{1}{1 + e ^{x}} d x =

diverges

= diverges

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What is the integral from 0 to infinity of 1/(1+e^x) ?
The integral from 0 to infinity of 1/(1+e^x) is diverges