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

The integral of integral of ln(x) is 1/2 x^2ln(x)-(x^2)/4-(x^2)/2+Cx+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of integral of ln(x)

\int \int ln (x) d x d x

\frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4} - \frac{x ^{2}}{2} + C x + C

Solution steps

\int \int ln (x) d x d x

\int ln (x) d x = x ln (x) - x + C

= \int (x ln (x) - x + C) d x

\int (x ln (x) - x + C) d x = \frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4} - \frac{x ^{2}}{2} + C x + C

= \frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4} - \frac{x ^{2}}{2} + C x + C

\int \int e^{2 x} d x d x

\int \int \int x^{2} d x d x d x

\int \int x y^{2} d x d y

\int \int e^{x + y} d x d y

\int_{0}^{1} \int_{0}^{y} x y e^{x^{2}} d x d y

What is the integral of integral of ln(x) ?
The integral of integral of ln(x) is 1/2 x^2ln(x)-(x^2)/4-(x^2)/2+Cx+C