What is the integral from 1 to (1+sqrt(5 of)/2) 1/x ?

The integral from 1 to (1+sqrt(5 of)/2) 1/x is ln((1+sqrt(5))/2)

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integral from 1 to (1+sqrt(5 of)/2) 1/x

\int_{1}^{\frac{1 + 5}{2}} \frac{1}{x} d x

ln (\frac{1 + 5}{2})

Decimal

0.48121 \dots

Solution steps

\int_{1}^{\frac{1 + 5}{2}} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{\frac{1 + 5}{2}}

Compute the boundaries:

ln (\frac{1 + 5}{2})

= ln (\frac{1 + 5}{2})

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What is the integral from 1 to (1+sqrt(5 of)/2) 1/x ?
The integral from 1 to (1+sqrt(5 of)/2) 1/x is ln((1+sqrt(5))/2)