What is the integral from 1 to sqrt(e of) 1/x ?

The integral from 1 to sqrt(e of) 1/x is 1/2

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integral from 1 to sqrt(e of) 1/x

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

\frac{1}{2}

Decimal

0.5

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{e}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

What is the integral from 1 to sqrt(e of) 1/x ?
The integral from 1 to sqrt(e of) 1/x is 1/2