What is the integral from 6 to infinity of (ln(x))/x ?

The integral from 6 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 6 to infinity of (ln(x))/x

\int_{6}^{\infty} \frac{ln ( x )}{x} d x

diverges

Solution steps

\int_{6}^{\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_{6}^{\infty} \frac{ln ( x )}{x} d x =

diverges

= diverges

\frac{d}{d x} (\frac{- 1}{( x + 1 ) ^{2}})

2 x^{2} + x

\int \frac{8 x ^{2}}{( 1 - x ^{3} ) ^{3}} d x

\int \frac{x ^{4} - 5 x}{x ^{2}} d x

x \to 0 lim (\frac{- 3}{x ^{2}})

What is the integral from 6 to infinity of (ln(x))/x ?
The integral from 6 to infinity of (ln(x))/x is diverges