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^k)

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (-1000)/((2x+50)^2)

\int \frac{- 1000}{( 2 x + 50 ) ^{2}} d x

integral of xsqrt(100-x^2)

\int x 100 - x^{2} d x

integral of (e^{3ln(x)}+e^{3x})

\int (e^{3 l n (x)} + e^{3 x}) d x

integral of (7x^3-4x^2+11x-e^2+17)

\int (7 x^{3} - 4 x^{2} + 11 x - e^{2} + 17) d x

integral of (3+8x)/(1+x^2)

\int \frac{3 + 8 x}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

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