What is the integral from 0 to infinity of e^u ?

The integral from 0 to infinity of e^u is diverges

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integral from 0 to infinity of e^u

\int_{0}^{\infty} e^{u} d u

diverges

Solution steps

\int_{0}^{\infty} e^{u} d u

Compute the indefinite integral:

\int e^{u} d u = e^{u} + C

Compute the boundaries:

\int_{0}^{\infty} e^{u} d u =

diverges

= diverges

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What is the integral from 0 to infinity of e^u ?
The integral from 0 to infinity of e^u is diverges