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Popular >

integral of-8x^{-9}

Solution

\int - 8 x^{- 9} d x

Solution

\frac{1}{x ^{8}} + C

Solution steps

\int - 8 x^{- 9} d x

Take the constant out:

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

= - 8 \cdot \int x^{- 9} d x

Apply the Power Rule

: - \frac{1}{8 x ^{8}}

= - 8 (- \frac{1}{8 x ^{8}})

Simplify

- 8 (- \frac{1}{8 x ^{8}}) : \frac{1}{x ^{8}}

= \frac{1}{x ^{8}}

Add a constant to the solution

= \frac{1}{x ^{8}} + C

Popular Examples

integral of 0.733xe^{-0.27x}

\int 0.733 x e^{- 0.27 x} d x

integral of 18xcos(3x)

\int 18 x cos (3 x) d x

xy+y^2-x^2*(dy)/(dx)=0

x y + y^{2} - x^{2} \cdot \frac{d y}{d x} = 0

limit as x approaches-1 of \sqrt[3]{-1}

integral of sqrt(x+x^2)

\int x + x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of-8x^{-9} ?
The integral of-8x^{-9} is 1/(x^8)+C