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Popular Calculus >

integral of 1/((x^n))

Solution

integral

\frac{1}{( x ^{n} )}

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}

Add a constant to the solution

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

Graph

Popular Examples

integral of n^2

integral of sqrt(1+16x^2)

integral of 2+x

integral of 1/((x^{1/2)+1)}

integral of (x^2-x)^4

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