en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(x^n)

Solution

\int \frac{1}{x ^{n}} d x

Solution

\frac{x ^{- n + 1}}{- n + 1} + C

Solution steps

\int \frac{1}{x ^{n}} d x

Apply the Power Rule

: \frac{x ^{- n + 1}}{- n + 1}

= \frac{x ^{- n + 1}}{- n + 1}

Add a constant to the solution

= \frac{x ^{- n + 1}}{- n + 1} + C

Popular Examples

integral of t^3e^{-2t}

\int t^{3} e^{- 2 t} d t

derivative of piln(e)

\frac{d}{d x} (π ln (e))

integral of arccot(y)

\int arccot (y) d y

limit as x approaches 0 of (3x^2-x)/x

x \to 0 lim (\frac{3 x ^{2} - x}{x})

integral of 1/(8+x^3)

\int \frac{1}{8 + x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(x^n) ?
The integral of 1/(x^n) is (x^{-n+1})/(-n+1)+C