en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^{-a}

Solution

\int x^{- a} d x

Solution

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

Solution steps

\int x^{- a} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Graph

Popular Examples

limit as x approaches 1 of (x^3-x)/(x-1)

x \to 1 lim (\frac{x ^{3} - x}{x - 1})

limit as x approaches 0 of-1/(3x^3)

x \to 0 lim (- \frac{1}{3 x ^{3}})

integral of 3cos(4x)

\int 3 cos (4 x) d x

y^'-x/(1+x^2)y=x

y^{^{'}} - \frac{x}{1 + x ^{2}} y = x

y^{''}+4y=6sin(2x)

y^{^{''}} + 4 y = 6 sin (2 x)

Frequently Asked Questions (FAQ)

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