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

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

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integral from 1/2 to 1 of 1/x

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

ln (2)

Decimal

0.69314 \dots

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{\frac{1}{2}}^{1}

Compute the boundaries:

ln (2)

= ln (2)

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