What is the integral from 5 to 8 of 1/x ?

The integral from 5 to 8 of 1/x is 3ln(2)-ln(5)

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integral from 5 to 8 of 1/x

\int_{5}^{8} \frac{1}{x} d x

3 ln (2) - ln (5)

Solution steps

\int_{5}^{8} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{5}^{8}

Compute the boundaries:

3 ln (2) - ln (5)

= 3 ln (2) - ln (5)

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What is the integral from 5 to 8 of 1/x ?
The integral from 5 to 8 of 1/x is 3ln(2)-ln(5)