What is the integral from-infinity to-1 of x^{-17/7} ?

The integral from-infinity to-1 of x^{-17/7} is diverges

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integral from-infinity to-1 of x^{-17/7}

\int_{- \infty}^{- 1} x^{- \frac{17}{7}} d x

diverges

Solution steps

\int_{- \infty}^{- 1} x^{- \frac{17}{7}} d x

Compute the indefinite integral:

\int x^{- \frac{17}{7}} d x = - \frac{7}{10 x ^{\frac{10}{7}}} + C

Compute the boundaries:

\int_{- \infty}^{- 1} x^{- \frac{17}{7}} d x =

diverges

= diverges

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What is the integral from-infinity to-1 of x^{-17/7} ?
The integral from-infinity to-1 of x^{-17/7} is diverges