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Popular >

integral of x^{-n}

Solution

\int x^{- n} d x

Solution

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

Solution steps

\int 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

derivative of y=(2log_{e}(x)-3)^4 derivative of

y = (2 lo g_{e} (x) - 3)^{4}

integral of ((7x+29))/(x^2+8x+15)

\int \frac{( 7 x + 29 )}{x ^{2} + 8 x + 15} d x

derivative of x^{9/5}derivative of

x^{\frac{9}{5}}

laplacetransform 3(t-2)^2+10(t-2)+9 laplace transform

3 (t - 2)^{2} + 10 (t - 2) + 9

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

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

Frequently Asked Questions (FAQ)

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