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Popular >

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}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 8/((x^3-16x))integral

\frac{8}{( x ^{3} - 16 x )}

integral of ln(x+2)integral

ln (x + 2)

integral of (cos^2(x))/2 integral

\frac{cos ^{2} ( x )}{2}

integral of x/((x+1))integral

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

integral of 3x^3 integral

3 x^{3}

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