What is the integral from 10 to infinity of x^{-2/3} ?

The integral from 10 to infinity of x^{-2/3} is diverges

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integral from 10 to infinity of x^{-2/3}

\int_{10}^{\infty} x^{- \frac{2}{3}} d x

diverges

Solution steps

\int_{10}^{\infty} x^{- \frac{2}{3}} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{10}^{\infty} x^{- \frac{2}{3}} d x =

diverges

= diverges

\frac{d}{d x} (\frac{40}{x ^{5}})

\frac{\partial}{\partial x} (- y e^{x})

\frac{d}{d z} (ln (\frac{d ^{2} - z ^{2}}{d ^{2} + z ^{2}}))

\frac{x}{9 - x ^{2}}

x \to - 3 lim (- 1.2 x - 4.6)

What is the integral from 10 to infinity of x^{-2/3} ?
The integral from 10 to infinity of x^{-2/3} is diverges