What is the integral from 1 to ln(3) of 1/x ?

The integral from 1 to ln(3) of 1/x is ln(ln(3))

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integral from 1 to ln(3) of 1/x

\int_{1}^{l n (3)} \frac{1}{x} d x

ln (ln (3))

Decimal

0.09404 \dots

Solution steps

\int_{1}^{l n (3)} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{l n (3)}

Compute the boundaries:

ln (ln (3))

= ln (ln (3))

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