What is the integral from 2 to infinity of (e^x)/x ?

The integral from 2 to infinity of (e^x)/x is diverges

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integral from 2 to infinity of (e^x)/x

\int_{2}^{\infty} \frac{e ^{x}}{x} d x

diverges

Solution steps

\int_{2}^{\infty} \frac{e ^{x}}{x} d x

Compute the indefinite integral:

\int \frac{e ^{x}}{x} d x = Ei (x) + C

Compute the boundaries:

\int_{2}^{\infty} \frac{e ^{x}}{x} d x =

diverges

= diverges

What is the integral from 2 to infinity of (e^x)/x ?
The integral from 2 to infinity of (e^x)/x is diverges