What is the integral from 4 to infinity of (ln(x))/x ?

The integral from 4 to infinity of (ln(x))/x is diverges

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integral from 4 to infinity of (ln(x))/x

\int_{4}^{\infty} \frac{ln ( x )}{x} d x

diverges

Solution steps

\int_{4}^{\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_{4}^{\infty} \frac{ln ( x )}{x} d x =

diverges

= diverges

\frac{d}{d θ} (\frac{1}{4} sin^{2} (2 θ))

7 y^{^{'}} + y = 5 t^{2}

\frac{d}{d x} (e^{x^{3} - x})

n = 0 \sum \infty e^{- \frac{3 n}{2}}

\frac{d}{d x _{0}} (x_{0})

What is the integral from 4 to infinity of (ln(x))/x ?
The integral from 4 to infinity of (ln(x))/x is diverges