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

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

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integral from 0 to infinity of e^t

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

diverges

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

diverges

= diverges

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