en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of r^{-1}

Solution

integral

r^{- 1}

Solution

ln ∣ r ∣ + C

Solution steps

\int r^{- 1} d r

Use the common integral:

\int r^{- 1} d r = ln (∣ r ∣)

= ln ∣ r ∣

Add a constant to the solution

= ln ∣ r ∣ + C

Popular Examples

integral of ln((1/x)-1)integral

ln ((\frac{1}{x}) - 1)

integral of ((x^2-a)^3)/2 integral

\frac{( x ^{2} - a ) ^{3}}{2}

integral of t(1-t)integral

t (1 - t)

integral of 1/((4+x^2))integral

\frac{1}{( 4 + x ^{2} )}

integral of x/((sqrt(x^2+1)))integral

\frac{x}{( x ^{2} + 1 )}

Frequently Asked Questions (FAQ)

What is the integral of r^{-1} ?
The integral of r^{-1} is ln|r|+C