en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of a/(r^2)

Solution

\int \frac{a}{r ^{2}} d r

Solution

- \frac{a}{r} + C

Solution steps

\int \frac{a}{r ^{2}} d r

Take the constant out:

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

= a \cdot \int \frac{1}{r ^{2}} d r

Apply the Power Rule

: - \frac{1}{r}

= a (- \frac{1}{r})

Simplify

a (- \frac{1}{r}) : - \frac{a}{r}

= - \frac{a}{r}

Add a constant to the solution

= - \frac{a}{r} + C

Graph

Popular Examples

integral of (ln^2(2x))/x

\int \frac{ln ^{2} ( 2 x )}{x} d x

integral of (3x^{-4})

\int (3 x^{- 4}) d x

integral of sec(t)(9sec(t)+8tan(t))

\int sec (t) (9 sec (t) + 8 tan (t)) d t

integral of (1-cos(x/2))^2*sin(x/2)

\int (1 - cos (\frac{x}{2}))^{2} \cdot sin (\frac{x}{2}) d x

integral of (x+1)/(\sqrt[3]{x^2+2x+1)}

\int \frac{x + 1}{3 x ^{2} + 2 x + 1} d x

Frequently Asked Questions (FAQ)

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