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

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

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

\int_{3}^{\infty} \frac{ln ( x )}{x} d x

diverges

Solution steps

\int_{3}^{\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_{3}^{\infty} \frac{ln ( x )}{x} d x =

diverges

= diverges

x \to 0 - lim (\frac{∣ x ∣}{x})

f (x) = 4 e^{x} cos (x), (0, 4)

(2 x - 3) e^{3 x}

\int sec (a) x tan (a) x d x

\frac{d y}{d x} + 2 y = e^{3 x} y^{2}

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