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

The integral of ln(2/x) is xln(2/x)+x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of ln(2/x)

\int ln (\frac{2}{x}) d x

x ln (\frac{2}{x}) + x + C

Solution steps

\int ln (\frac{2}{x}) d x

Apply Integration By Parts

: x ln (\frac{2}{x}) - \int - 1 d x

= x ln (\frac{2}{x}) - \int - 1 d x

\int - 1 d x = - x

= x ln (\frac{2}{x}) - (- x)

Simplify

= x ln (\frac{2}{x}) + x

Add a constant to the solution

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

\frac{( 2 x ^{3} + 4 x ^{2} - 2 x + 3 )}{( x - 3 )}

f (x) = 4 x (x^{2} - 9)

\int x + 3 d x

\frac{\partial}{\partial x} (e^{x} y + 5 x y^{2} - x^{2})

n = 0 \sum \infty \frac{3}{n ^{4}}