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

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

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

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

ln ∣ ln (x) ∣

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{l n (x)}

Compute the boundaries:

ln ∣ ln (x) ∣

= ln ∣ ln (x) ∣

\frac{d}{d x} (3 π^{4})

\int 10 - 4 x - 4 x^{2} d x

\frac{\partial}{\partial z} (2 e^{x} cos (yz))

x \to 0 lim (x^{2} - x)

\frac{d}{d x} ((6 x)^{3 x})

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