What is the integral from-infinity to-1 of x^{-14/5} ?

The integral from-infinity to-1 of x^{-14/5} is diverges

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integral from-infinity to-1 of x^{-14/5}

\int_{- \infty}^{- 1} x^{- \frac{14}{5}} d x

diverges

Solution steps

\int_{- \infty}^{- 1} x^{- \frac{14}{5}} d x

Compute the indefinite integral:

\int x^{- \frac{14}{5}} d x = - \frac{5}{9 x ^{\frac{9}{5}}} + C

Compute the boundaries:

\int_{- \infty}^{- 1} x^{- \frac{14}{5}} d x =

diverges

= diverges

What is the integral from-infinity to-1 of x^{-14/5} ?
The integral from-infinity to-1 of x^{-14/5} is diverges