What is the integral of (3/x) ?

The integral of (3/x) is 3ln|x|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (3/x)

\int (\frac{3}{x}) d x

3 ln ∣ x ∣ + C

Solution steps

\int \frac{3}{x} d x

Take the constant out:

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

= 3 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 3 ln ∣ x ∣

Add a constant to the solution

= 3 ln ∣ x ∣ + C

\frac{\partial}{\partial z} (5 sin^{2} (z))

n = 1 \sum \infty 4 + (- 1)^{n}

\int 5 (tan (x)) (ln (cos (x))) d x

\int_{2}^{\infty} \frac{1}{3 x + 2} d x

5 x + 1