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Popular Calculus >

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

= - 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

Graph

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

limit as x approaches 3 of sqrt(x-3)

x \to 3 lim (x - 3)

limit as x approaches 0+of 1/(e^x-1)

x \to 0 + lim (\frac{1}{e ^{x} - 1})

derivative of (x^3)/6

d er i v a t i v e \frac{x ^{3}}{6}

Frequently Asked Questions (FAQ)

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