What is the integral from 1 to e^{32 of}x^{-1} ?

The integral from 1 to e^{32 of}x^{-1} is 32

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integral from 1 to e^{32 of}x^{-1}

\int_{1}^{e^{32}} x^{- 1} d x

32

Solution steps

\int_{1}^{e^{32}} x^{- 1} d x

Use the common integral:

\int x^{- 1} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{e^{32}}

Compute the boundaries:

32

= 32

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What is the integral from 1 to e^{32 of}x^{-1} ?
The integral from 1 to e^{32 of}x^{-1} is 32