What is the integral from 1 to 10 of (5/x) ?

The integral from 1 to 10 of (5/x) is 5ln(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 10 of (5/x)

\int_{1}^{10} (\frac{5}{x}) d x

5 ln (10)

Decimal

11.51292 \dots

Solution steps

\int_{1}^{10} \frac{5}{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{1}^{10} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 5 [ln ∣ x ∣]_{1}^{10}

Compute the boundaries:

ln (10)

= 5 ln (10)

\int_{0}^{1} 4 y^{2} (1 - y^{2}) d y

\int_{1}^{\infty} \frac{7}{x ^{2}} d x

\int_{4}^{1} 1

\int_{- 2}^{0} - sin (\frac{nπ x}{2}) d x

\int_{4}^{3} 1

What is the integral from 1 to 10 of (5/x) ?
The integral from 1 to 10 of (5/x) is 5ln(10)