What is the integral from 2 to infinity of (ln(x))/x ?

The integral from 2 to infinity of (ln(x))/x is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to infinity of (ln(x))/x

\int_{2}^{\infty} \frac{ln ( x )}{x} d x

diverges

Solution steps

\int_{2}^{\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_{2}^{\infty} \frac{ln ( x )}{x} d x =

diverges

= diverges

\frac{d}{d x} (- 6 x y)

\int_{1}^{2} 9 x^{4} ln (x) d x

\int \frac{6}{6 + e ^{x}} d x

\int \frac{a + x}{a - x} d x

\int \frac{1}{e ^{2 t} - 2} d t

What is the integral from 2 to infinity of (ln(x))/x ?
The integral from 2 to infinity of (ln(x))/x is diverges