What is the integral from 1 to infinity of x^{-0.5} ?

The integral from 1 to infinity of x^{-0.5} is diverges

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integral from 1 to infinity of x^{-0.5}

\int_{1}^{\infty} x^{- 0.5} d x

diverges

Solution steps

\int_{1}^{\infty} x^{- 0.5} d x

Compute the indefinite integral:

\int x^{- 0.5} d x = 2 x + C

Compute the boundaries:

\int_{1}^{\infty} x^{- 0.5} d x =

diverges

= diverges

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What is the integral from 1 to infinity of x^{-0.5} ?
The integral from 1 to infinity of x^{-0.5} is diverges