What is the integral from 1 to 3 of ln(x) ?

The integral from 1 to 3 of ln(x) is 3ln(3)-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 3 of ln(x)

\int_{1}^{3} ln (x) d x

3 ln (3) - 2

Decimal Notation

1.29583 \dots

Solution steps

\int_{1}^{3} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{1}^{3}

= [x ln (x) - \int 1 d x]_{1}^{3}

\int 1 d x = x

= [x ln (x) - x]_{1}^{3}

Compute the boundaries:

3 ln (3) - 2

= 3 ln (3) - 2

\frac{\partial}{\partial x} (e^{- a x})

\frac{d}{d x} (x^{2} + y^{2} - 25)

\frac{\partial}{\partial x} (3 e^{5 x})

y^{^{''}} - 2 y + y = 12 e^{3 t}

n = 0 \sum \infty \frac{1}{2 n + 2}

What is the integral from 1 to 3 of ln(x) ?
The integral from 1 to 3 of ln(x) is 3ln(3)-2