What is the integral from 0 to infinity of x^{-1} ?

The integral from 0 to infinity of x^{-1} is diverges

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integral from 0 to infinity of x^{-1}

\int_{0}^{\infty} x^{- 1} d x

diverges

Solution steps

\int_{0}^{\infty} x^{- 1} d x

Compute the indefinite integral:

\int x^{- 1} d x = ln ∣ x ∣ + C

Compute the boundaries:

\int_{0}^{\infty} x^{- 1} d x =

diverges

= diverges

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What is the integral from 0 to infinity of x^{-1} ?
The integral from 0 to infinity of x^{-1} is diverges