What is the integral from-infinity to infinity of x^8e^{-x^9} ?

The integral from-infinity to infinity of x^8e^{-x^9} is diverges

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integral from-infinity to infinity of x^8e^{-x^9}

\int_{- \infty}^{\infty} x^{8} e^{- x^{9}} d x

diverges

Solution steps

\int_{- \infty}^{\infty} x^{8} e^{- x^{9}} d x

Compute the indefinite integral:

\int x^{8} e^{- x^{9}} d x = - \frac{1}{9} e^{- x^{9}} + C

Compute the boundaries:

\int_{- \infty}^{\infty} x^{8} e^{- x^{9}} d x =

diverges

= diverges

\int - 4 x d x

\int - cos (x^{2}) d x

\frac{d}{d x} (x 3 + 2 x^{2})

(\frac{1}{ln ( x )})^{^{'}}

(2 x + 3)^{^{'}}

What is the integral from-infinity to infinity of x^8e^{-x^9} ?
The integral from-infinity to infinity of x^8e^{-x^9} is diverges