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Popular >

integral of 5x^{-6}

Solution

\int 5 x^{- 6} d x

Solution

- \frac{1}{x ^{5}} + C

Solution steps

\int 5 x^{- 6} d x

Take the constant out:

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

= 5 \cdot \int x^{- 6} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

= 5 (- \frac{1}{5 x ^{5}})

Simplify

5 (- \frac{1}{5 x ^{5}}) : - \frac{1}{x ^{5}}

= - \frac{1}{x ^{5}}

Add a constant to the solution

= - \frac{1}{x ^{5}} + C

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Frequently Asked Questions (FAQ)

What is the integral of 5x^{-6} ?
The integral of 5x^{-6} is -1/(x^5)+C