What is the integral from 1 to infinity of n^{-3} ?

The integral from 1 to infinity of n^{-3} is diverges

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integral from 1 to infinity of n^{-3}

\int_{1}^{\infty} n^{- 3}

diverges

Solution steps

\int_{1}^{\infty} n^{- 3} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{1}^{\infty} n^{- 3} d x =

diverges

= diverges

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What is the integral from 1 to infinity of n^{-3} ?
The integral from 1 to infinity of n^{-3} is diverges