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Popular Calculus >

integral of-10x^{-6}

Solution

\int - 10 x^{- 6} d x

Solution

\frac{2}{x ^{5}} + C

Solution steps

\int - 10 x^{- 6} d x

Take the constant out:

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

= - 10 \cdot \int x^{- 6} d x

Apply the Power Rule

= - 10 (- \frac{1}{5 x ^{5}})

Simplify

- 10 (- \frac{1}{5 x ^{5}}) : \frac{2}{x ^{5}}

= \frac{2}{x ^{5}}

Add a constant to the solution

= \frac{2}{x ^{5}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-10x^{-6} ?
The integral of-10x^{-6} is 2/(x^5)+C