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Popular >

integral of x^{-6}

Solution

\int x^{- 6} d x

Solution

- \frac{1}{5 x ^{5}} + C

Solution steps

\int x^{- 6} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

= - \frac{1}{5 x ^{5}}

Add a constant to the solution

= - \frac{1}{5 x ^{5}} + C

Popular Examples

derivative of y=-2/(x^3)derivative of

y = - \frac{2}{x ^{3}}

tangent of f(x)=x^2,\at (-3/8)tangent of

f (x) = x^{2}, at (- \frac{3}{8})

derivative of f(x)=(x^2)/(x-9)derivative of

f (x) = \frac{x ^{2}}{x - 9}

integral from 0 to 2 of x+2

\int_{0}^{2} x + 2 d x

limit as x approaches 0 of x/((x+0))

x \to 0 lim (\frac{x}{( x + 0 )})

Frequently Asked Questions (FAQ)

What is the integral of x^{-6} ?
The integral of x^{-6} is -1/(5x^5)+C