What is the integral from 2 to 5 of ln(x) ?

The integral from 2 to 5 of ln(x) is 5ln(5)-3-2ln(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 5 of ln(x)

\int_{2}^{5} ln (x) d x

5 ln (5) - 3 - 2 ln (2)

Decimal

3.66089 \dots

Solution steps

\int_{2}^{5} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{2}^{5}

= [x ln (x) - \int 1 d x]_{2}^{5}

\int 1 d x = x

= [x ln (x) - x]_{2}^{5}

Compute the boundaries:

5 ln (5) - 3 - 2 ln (2)

= 5 ln (5) - 3 - 2 ln (2)

\int_{0}^{4} x^{2} 4 - x d x

\int_{3}^{2} (2 t - t^{2}) d t

\int_{0}^{25} (9 x)^{\frac{1}{2}} d x

\int_{0}^{1} \frac{2}{x + 1} d x

\int_{1}^{- 1} \frac{e ^{x}}{e ^{x} + 1} d x

What is the integral from 2 to 5 of ln(x) ?
The integral from 2 to 5 of ln(x) is 5ln(5)-3-2ln(2)