What is the integral from 1 to 8 of 1/x ?

The integral from 1 to 8 of 1/x is 3ln(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 8 of 1/x

\int_{1}^{8} \frac{1}{x} d x

3 ln (2)

Decimal Notation

2.07944 \dots

Solution steps

\int_{1}^{8} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{8}

Compute the boundaries:

3 ln (2)

= 3 ln (2)

\int_{0}^{2} sin (\frac{nπ x}{2}) d x

\int_{- \frac{π}{2}}^{\frac{π}{2}} x cos (2 x) d x

\int_{9}^{0} ∣ 2 x - 9 ∣ d x

\int_{2}^{10} \frac{3}{5 x - 1} d x

\int_{2}^{4} \frac{1}{x ^{2} - 4} d x

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