en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1/v

Solution

\int \frac{1}{v} d v

Solution

ln ∣ v ∣ + C

Solution steps

\int \frac{1}{v} d v

Use the common integral:

\int \frac{1}{v} d v = ln (∣ v ∣)

= ln ∣ v ∣

Add a constant to the solution

= ln ∣ v ∣ + C

Graph

Popular Examples

tangent of 1/16 tan^2(x)+cos(x)

integral of (x^2+10x-1)/(x^3-x)

integral of-2ysqrt(2-y^2)

integral of 1/(p^2+2p)

area x=y^2,x=y+6

Frequently Asked Questions (FAQ)

What is the integral of 1/v ?
The integral of 1/v is ln|v|+C