What is the integral from 1 to 10 of 4/x ?

The integral from 1 to 10 of 4/x is 4ln(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 4/x

\int_{1}^{10} \frac{4}{x} d x

4 ln (10)

Decimal Notation

9.21034 \dots

Solution steps

\int_{1}^{10} \frac{4}{x} d x

Take the constant out:

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

= 4 \cdot \int_{1}^{10} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 4 [ln ∣ x ∣]_{1}^{10}

Compute the boundaries:

ln (10)

= 4 ln (10)

\int_{1}^{4} 7 d x

\int_{0}^{\frac{π}{4}} 9 sec (θ) tan (θ) d θ

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

\int_{0}^{π} cos (2 t) d t

\int_{0}^{2} 2 y - y^{2} d y

What is the integral from 1 to 10 of 4/x ?
The integral from 1 to 10 of 4/x is 4ln(10)