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Popular >

integral of 8x^{-2}

Solution

\int 8 x^{- 2} d x

Solution

- \frac{8}{x} + C

Solution steps

\int 8 x^{- 2} d x

Take the constant out:

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

= 8 \cdot \int x^{- 2} d x

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

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

= - \frac{8}{x}

Add a constant to the solution

= - \frac{8}{x} + C

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Frequently Asked Questions (FAQ)

What is the integral of 8x^{-2} ?
The integral of 8x^{-2} is -8/x+C