What is the integral from e to e^2 of 1/x ?

The integral from e to e^2 of 1/x is 1

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integral from e to e^2 of 1/x

\int_{e}^{e^{2}} \frac{1}{x} d x

1

Solution steps

\int_{e}^{e^{2}} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{e}^{e^{2}}

Compute the boundaries:

1

= 1

What is the integral from e to e^2 of 1/x ?
The integral from e to e^2 of 1/x is 1