What is the integral of 2/v ?

The integral of 2/v is 2ln|v|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2/v

\int \frac{2}{v} d v

2 ln ∣ v ∣ + C

Solution steps

\int \frac{2}{v} d v

Take the constant out:

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

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

Use the common integral:

\int \frac{1}{v} d v = ln (∣ v ∣)

= 2 ln ∣ v ∣

Add a constant to the solution

= 2 ln ∣ v ∣ + C

\frac{d y}{d x} = 2 \cdot cos (9 π x - 1) \frac{d}{d x} (cos (9 π x - 1))

\int x - x + 2 d x

\frac{\partial}{\partial y} (12 y - 5 x cos (y))

3 x + 2

\int cos^{4} (x s i) n^{2} x d x