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 Notation

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))

\int 25 - 8 x + x^{2} d x

\frac{d}{d x} (2 x^{3} - 4 x - 8 x + 6)

\frac{1}{s ^{2}} (1 - e^{- 5 s})

12 x^{3} + 24 x^{2}

\frac{\partial}{\partial y} (x^{2} - 4 x y + 4 y^{2} + 2)

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))