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Popular >

integral of-6x^{-7}

Solution

\int - 6 x^{- 7} d x

Solution

\frac{1}{x ^{6}} + C

Solution steps

\int - 6 x^{- 7} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 6 \cdot \int x^{- 7} d x

Apply the Power Rule

: - \frac{1}{6 x ^{6}}

= - 6 (- \frac{1}{6 x ^{6}})

Simplify

- 6 (- \frac{1}{6 x ^{6}}) : \frac{1}{x ^{6}}

= \frac{1}{x ^{6}}

Add a constant to the solution

= \frac{1}{x ^{6}} + C

Graph

Popular Examples

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\frac{d y}{d x} = 9 y

derivative of G(t)=(1-3t)/(4+t)derivative of

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integral of (x^2)/(5x^3+8)

\int \frac{x ^{2}}{5 x ^{3} + 8} d x

tangent of f(x)=3e^x+x,(0,3)tangent of

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Frequently Asked Questions (FAQ)

What is the integral of-6x^{-7} ?
The integral of-6x^{-7} is 1/(x^6)+C