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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

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Frequently Asked Questions (FAQ)

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