What is the integral from 0 to 1 of ln(x) ?

The integral from 0 to 1 of ln(x) is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1 of ln(x)

\int_{0}^{1} ln (x) d x

- 1

Solution steps

\int_{0}^{1} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{0}^{1}

= [x ln (x) - \int 1 d x]_{0}^{1}

\int 1 d x = x

= [x ln (x) - x]_{0}^{1}

Compute the boundaries:

- 1

= - 1

\frac{d}{d x} (\frac{2 x}{7 - tan ( x )})

\int_{a}^{2 a} a - \frac{a ^{3}}{x ^{2}} d x

7 ln (sec (x) + tan (x))

x \to 7 lim (c x + 8)

θ \to 0 lim (cot (θ))

What is the integral from 0 to 1 of ln(x) ?
The integral from 0 to 1 of ln(x) is -1