What is the integral from 1 to 4 of ln(x) ?

The integral from 1 to 4 of ln(x) is 8ln(2)-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 4 of ln(x)

\int_{1}^{4} ln (x) d x

8 ln (2) - 3

Decimal

2.54517 \dots

Solution steps

\int_{1}^{4} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{1}^{4}

= [x ln (x) - \int 1 d x]_{1}^{4}

\int 1 d x = x

= [x ln (x) - x]_{1}^{4}

Compute the boundaries:

8 ln (2) - 3

= 8 ln (2) - 3

f (x) = x^{2} + 6 x - 5, at x = 2

\int 12 (y^{4} + 4 y^{2} + 1)^{2} (y^{3} + 2 y) d y

\frac{x}{x + 3}

\int 6 x + 1 d x

\frac{e ^{t} - cos ( t )}{t}

What is the integral from 1 to 4 of ln(x) ?
The integral from 1 to 4 of ln(x) is 8ln(2)-3