What is the integral of-10x^{-11} ?

The integral of-10x^{-11} is 1/(x^{10)}+C

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integral of-10x^{-11}

\int - 10 x^{- 11} d x

\frac{1}{x ^{10}} + C

Solution steps

\int - 10 x^{- 11} d x

Take the constant out:

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

= - 10 \cdot \int x^{- 11} d x

Apply the Power Rule

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

Simplify

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

= \frac{1}{x ^{10}}

Add a constant to the solution

= \frac{1}{x ^{10}} + C