What is the integral of 4/(2x) ?

The integral of 4/(2x) is 2ln|x|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 4/(2x)

\int \frac{4}{2 x} d x

2 ln ∣ x ∣ + C

Solution steps

\int \frac{4}{2 x} d x

Take the constant out:

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

= \frac{4}{2} \cdot \int \frac{1}{x} d x

Simplify

= 2 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 2 ln ∣ x ∣

Add a constant to the solution

= 2 ln ∣ x ∣ + C