What is the integral of 13x^{-7} ?

The integral of 13x^{-7} is -(13)/(6x^6)+C

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integral of 13x^{-7}

\int 13 x^{- 7} d x

- \frac{13}{6 x ^{6}} + C

Solution steps

\int 13 x^{- 7} d x

Take the constant out:

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

= 13 \cdot \int x^{- 7} d x

Apply the Power Rule

= 13 (- \frac{1}{6 x ^{6}})

Simplify

13 (- \frac{1}{6 x ^{6}}) : - \frac{13}{6 x ^{6}}

= - \frac{13}{6 x ^{6}}

Add a constant to the solution

= - \frac{13}{6 x ^{6}} + C