en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2/(v^2)

Solution

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

Solution

- \frac{2}{v} + C

Solution steps

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

Apply the Power Rule

: - \frac{1}{v}

= 2 (- \frac{1}{v})

Simplify

2 (- \frac{1}{v}) : - \frac{2}{v}

= - \frac{2}{v}

Add a constant to the solution

= - \frac{2}{v} + C

Popular Examples

(sin^{3} (x))^{^{'}}

((ln (x))^{2})^{^{'}}

limit as x approaches-8 of (8-|x|)/(8+x)

x \to - 8 lim (\frac{8 - ∣ x ∣}{8 + x})

integral of (14)/(x^2-1)

\int \frac{14}{x ^{2} - 1} d x

derivative of ln(x^2-12x)

\frac{d}{d x} (ln (x^{2} - 12 x))

Frequently Asked Questions (FAQ)

What is the integral of 2/(v^2) ?
The integral of 2/(v^2) is -2/v+C