What is the integral of 15x^{-8} ?

The integral of 15x^{-8} is -(15)/(7x^7)+C

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integral of 15x^{-8}

\int 15 x^{- 8} d x

- \frac{15}{7 x ^{7}} + C

Solution steps

\int 15 x^{- 8} d x

Take the constant out:

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

= 15 \cdot \int x^{- 8} d x

Apply the Power Rule

= 15 (- \frac{1}{7 x ^{7}})

Simplify

15 (- \frac{1}{7 x ^{7}}) : - \frac{15}{7 x ^{7}}

= - \frac{15}{7 x ^{7}}

Add a constant to the solution

= - \frac{15}{7 x ^{7}} + C