What is the integral from 1 to e^3 of 1/x ?

The integral from 1 to e^3 of 1/x is 3

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integral from 1 to e^3 of 1/x

\int_{1}^{e^{3}} \frac{1}{x} d x

3

Solution steps

\int_{1}^{e^{3}} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{e^{3}}

Compute the boundaries:

3

= 3

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What is the integral from 1 to e^3 of 1/x ?
The integral from 1 to e^3 of 1/x is 3