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

The integral from 1 to infinity of x^{-p} is Undefined-1/(-p+1)

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

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

Undefined - \frac{1}{- p + 1}

Solution steps

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

Compute the indefinite integral:

\int x^{- p} d x = \frac{x ^{- p + 1}}{- p + 1} + C

Compute the boundaries:

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

Undefined

- \frac{1}{- p + 1}

= Undefined - \frac{1}{- p + 1}

What is the integral from 1 to infinity of x^{-p} ?
The integral from 1 to infinity of x^{-p} is Undefined-1/(-p+1)