What is the integral from 5 to infinity of (ln(x))/x ?

The integral from 5 to infinity of (ln(x))/x is diverges

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integral from 5 to infinity of (ln(x))/x

\int_{5}^{\infty} \frac{ln ( x )}{x} d x

diverges

Solution steps

\int_{5}^{\infty} \frac{ln ( x )}{x} d x

Compute the indefinite integral:

\int \frac{ln ( x )}{x} d x = \frac{ln ^{2} ( x )}{2} + C

Compute the boundaries:

\int_{5}^{\infty} \frac{ln ( x )}{x} d x =

diverges

= diverges

\int \frac{1}{5 x + 3} d x

\int \frac{1}{100 - y} d y

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

\frac{d}{d x} (\frac{sin ( x )}{3 x})

\int 1.5 x^{2} d x

What is the integral from 5 to infinity of (ln(x))/x ?
The integral from 5 to infinity of (ln(x))/x is diverges