What is the integral from 0 to infinity of x^{-3} ?

The integral from 0 to infinity of x^{-3} is diverges

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integral from 0 to infinity of x^{-3}

\int_{0}^{\infty} x^{- 3} d x

diverges

Solution steps

\int_{0}^{\infty} x^{- 3} d x

Compute the indefinite integral:

\int x^{- 3} d x = - \frac{1}{2 x ^{2}} + C

Compute the boundaries:

\int_{0}^{\infty} x^{- 3} d x =

diverges

= diverges

\frac{d}{d z} (9 x^{\frac{y}{z}})

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\frac{1}{( x - 2 )}

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\int_{2}^{\infty} x e^{- 8 x} d x

What is the integral from 0 to infinity of x^{-3} ?
The integral from 0 to infinity of x^{-3} is diverges